antoine-444/aqua_rat_dataset huggingface dataset:
Question: The average of 5 consecutive integers starting with m as the first integer is n. What is the average of 7 consecutive integers that start with (m + 2)?
Choices:
n + 6
n + 3
m + 4
n + 4
Answer: B
Question: In one hour, a boat goes 12 km/hr along the stream and 8 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Choices:
2 km/hr
10 km/hr
11 km/hr
12 km/hr
Answer: B
Question: A pizza is divided into 12 slices. If there are eight slices left, what fraction of the pizza is remaining?
Choices:
1/3
2/7
2/3
none of the above
Answer: C
Question: The average of 6 no.'s is 3.95. The average of 2of them is 3.4, while the average of theother 2 is 3.85. What is the average of the remaining 2 no's?
Choices:
3.8
4
4.2
4.6
Answer: D
Question: A and B invested in a business. They earned some profit which they divided in the ratio of 2:3. If A invested Rs.40, 000, the amount invested by B is:
Choices:
Rs. 70,000
Rs. 80,000
Rs. 90,000
Rs. 60,000
Answer: D
Question: If air is called green , green is called blue, blue is called blue, sky is called yellow, yellow is called water and water is called pink, then what is the color of clear sky ?
Choices:
Blue
Water
Yellow
Black
Answer: A
Question: |x+1| – |4-x| = |8+x| How many solutions will this equation have?
Choices:
1
2
3
4
Answer: C
Question: Speed of a boat in standing water is 14 kmph and the speed of the stream is 1.2 kmph. A man rows to a place at a distance of 4864 km and comes back to the starting point. The total time taken by him is:
Choices:
400 hours
900 hours
700 hours
600 hours
Answer: C
Question: The cost price of an article is 25% of the marked price. Calculate the gain percent after allowing a discount of 50%.
Choices:
50%
100%
150%
none
Answer: B
Question: What is the 23th digit to the right of the decimal point in the decimal form of 36/66?
Choices:
4
8
9
6
Answer: A
Question: A grocer is storing soap boxes in cartons that measure 25 inches by 42 inches by 60 inches. If the measurement of each soap box is 7 inches by 6 inches by 10 inches, then what is the maximum number of soap boxes that can be placed in each carton?
Choices:
252
280
150
420
Answer: C
Question: If a-b= 10 and a^2+b^2=150, find the value of ab
Choices:
12
25
18
19
Answer: B
Question: In how many years does a sum of Rs. 4500 yield a simple interest of Rs. 16000 at 15% p.a.?
Choices:
23.7 years
25.7 years
26.7 years
27.7 years
Answer: A
Question: If m is the average (arithmetic mean) of the first 10 positive multiples of 8 and if M is the median of the first 10 positive multiples of 8, what is the value of M – m ?
Choices:
24
5
25
5
Answer: D
Question: For four days of work, a clerk had daily earnings of $190, $180, $190, and $190 respectively. In which of the following intervals does the standard deviation of the daily earnings lie?
Choices:
Between $25and $50
Between $0 and $10
Between $50 and $100
Between $20 and $40
Answer: B
Question: A small college reduced its faculty by approximately 25 percent to 195 professors. What was the original number of faculty members?
Choices:
260
224
254
302
Answer: A
Question: What is the probability of getting equilateral triangles from the vertices of regular hexagon?
Choices:
1/10
3/10
4/10
5/10
Answer: A
Question: The simple interest at b% for b years will be $b on a sum of
Choices:
$(100)b^2
$ b
$ (100)/b
$ 100b
Answer: C
Question: The two lines y = x and x = -4 intersect on the coordinate plane. If z represents the area of the figure formed by the intersecting lines and the x-axis, what is the side length R of a cube whose surface area is equal to 6z?
Choices:
R=8√2
R=8
R=2√2
(√2)/3
Answer: C
Question: A man can row upstream at 12 kmph and downstream at 38 kmph, and then find the speed of the man in still water?
Choices:
25
30
88
34
Answer: A
Question: Carmen made a sculpture from small pieces of wood. The sculpture is 2 feet 10 inches tall.Carmen places her sculpture on a base that is 10 inches tall. How tall are the sculpture andbase together?
Choices:
3.66 feet
3.3 feet
3.4 feet
3.5 feet
Answer: A
Question: Each person who attended a company meeting was either a stockholder in the company, an employee of the company, or both. If 62 percent of those who attended the meeting were stockholders and 45 percent were employees, what percent were stockholders who were not employees?
Choices:
38%
45%
53%
55%
Answer: D
Question: The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 100 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
35, 27 kmph
50, 60 kmph
80, 20 kmph
45, 65 kmph
Answer: C
Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Choices:
3400
3690
4500
5184
Answer: D
Question: There is a number which is greater than the aggregate of its third. tenth and the twelfth parts by 58
Can you find the number?
Choices:
153
120
234
116
Answer: B
Question: In order to obtain an income of Rs. 580 from 15% stock at Rs. 100, one must make an investment of
Choices:
6240
8700
5600
2732
Answer: B
Question: 6, 11, 21, 36, 56, 81, 111, ?
Choices:
146
812
612
912
Answer: A
Question: 90, 180, 12, 50, 100, 80, ?, 3, 20, 4, 25, 2, 6, 30, 3
Choices:
150
180
90
60
Answer: D
Question: If 3 persons can do 3 times of a particular work in 3 days, then, 7 persons can do 7 times of that work in?
Choices:
3 days
4 days
5 days
6 days
Answer: A
Question: If 30% of a number exceeds 20% of it by 18, then find the number?
Choices:
200
180
150
None of these
Answer: B
Question: A tank with a volume of 20 cubic feet has one inlet pipe and 2 outlet pipes. The inlet pipe fills water into the tank at the rate of 5 cubic inches/min and the 2 outlet pipes empty it out at the rates of 9 cubic inches/min and 8 cubic inches/min respectively. If all 3 pipes are opened when the tank is full, how many minutes does it take to empty the tank? (1 foot = 12 inches)
Choices:
2220
2440
2660
2880
Answer: D
Question: Three Englishmen and three Frenchmen work for the same company. Each of them knows a secret not known to others. They need to exchange these secrets over person-to-person phone calls so that eventually each person knows all six secrets. None of the Frenchmen knows English, and only one Englishman knows French. What is the minimum number of phone calls needed for the above purpose?
Choices:
8
11
15
17
Answer: A
Question: A person is traveling at 25km/hr and reached his destiny in 6hr find the distance?
Choices:
B)95km
C)135km
D)150km
E)125km
Answer: C
Question: The average age of students in section A of 124 students is 23 years and the average age of students in section B of 159 students is 39 years. Find the average age of students in both sections taken together?
Choices:
32years
15years
25years
20years
Answer: A
Question: The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is
Choices:
5%
6%
8.75%
None
Answer: A
Question: At an international conference, “Red” world countries and “Blue” world countries are the only participants. The ratio of “Red” world participants to “Blue” world participants is 10:5. If one-third of “Red” world participants are left-handed and two-thirds of “Blue” world participants are left-handed, then what is the fraction of the participants who are left-handed?
Choices:
4/9
6/5
9/2
6/4
Answer: A
Question: A car was driving at 66 Km/h for 30 minutes, and then at 100 Km/h for another 45 minutes. What was its average speed?
Choices:
84.
70.
65.
54.
Answer: A
Question: Simple interest on a certain sum at a certain annual rate of interest is 1/4 of the sum. If the numbers representing rate percent and time in years be equal, then the rate of interest is:
Choices:
25/4 %.
5 %
6 %.
3 %.
Answer: B
Question: A group of 5 friends—Archie, Betty, Jerry, Moose, and Veronica—arrived at the movie theater to see a movie. Because they arrived late, their only seating option consists of 3 middle seats in the front row, an aisle seat in the front row, and an adjoining seat in the third row. If Archie, Jerry, or Moose must sit in the aisle seat while Betty and Veronica refuse to sit next to each other, how many possible seating arrangements are there?
Choices:
36
48
72
120
Answer: B
Question: Mr. Peterson deposits $ 200 in an account that pays 20% interest, compounded semiannually. How much money will there be in the account at the end of one year?
Choices:
$120.00
$242.00
$122.00
$140.00
Answer: B
Question: Vijay sells a cupboard at 14% below cost price. Had he got Rs.2086 more, he would have made a profit of 14%. What is the cost price of the cupboard?
Choices:
7456
7450
7454
7453
Answer: B
Question: An amount of money is to be divided between P, Q and R in the ratio of 3:7:12. If the difference between the shares of P and Q is Rs.2400, what will be the difference between Q and R's share?
Choices:
3000
2866
2999
2678
Answer: A
Question: In a kilometer race, A beats B by 100 meters or 10 seconds. What time does A take to complete the race?
Choices:
90 sec
290 sec
490 sec
390 sec
Answer: A
Question: A and B are positive two-digit integers such that the tens digit in A is the same as the units digit in B, and the units digit in A is the same as the tens digit in B. Which of the following could be the difference of A and B ?
Choices:
72
33
24
92
Answer: A
Question: Find the average of first 4 multiples of 8?
Choices:
20
22.5
31.3
40.8
Answer: A
Question: A store has 10 bottles of juice, including 6 bottles of apple juice. In the evening, 6 bottles of juice are sold one by one. What is the probability of selling 3 bottles of apple juice among the 6 bottles? Assume that every bottle has an equal chance of being bought.
Choices:
4/15
6/17
8/21
10/25
Answer: C
Question: You collect coins. Suppose you start out with 11. Since you're nice, you give Sharon 3 coins. Since you're nice, you give Steven 5 coins. How many coins do you have at the end?
Choices:
3
4
5
6
Answer: A
Question: A shopkeeper bought 600 oranges and 400 bananas. He found 15% of oranges and 8% of bananas were rotten. Find the percentage of fruits in good condition?
Choices:
87.8%
85.2%
96.8%
78.9%
Answer: A
Question: A trader bought a car at 20% discount on its original price. He sold it at a 30% increase on the price he bought it. What percent of profit did he make on the original price?
Choices:
A)4%
C)14%
D)20%
E)22%
Answer: A
Question: A package contains 8 black and 12 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Choices:
3/5
6/8
7/9
1/3
Answer: A
Question: In an acoustics class, 120 students are male and 100 students are female. 25% of the male students and 20% of the female students are engineering students. 20% of the male engineering students and 25% of the female engineering students passed the final exam. What percentage of engineering students passed the exam?
Choices:
10%
16%
22%
None of these
Answer: C
Question: The edge of a cube is 3a cm. Find its surface?
Choices:
24a4
24a1
54a2
24a7
Answer: C
Question: If f is the square of a positive integer, which of the following must be equal to the square of the next positive integer?
Choices:
n + 1
n^2 + 1
f + 2√f + 1
n^2 + 2n + 1
Answer: C
Question: x+(1/x) = 3 find x^2 + (1/x^2)
Choices:
7
4.25
5.25
6.25
Answer: A
Question: Peter read W books last year, and Nikki read N books last year. If Peter read 35 more books than Nikki last year, which of the following reflects this relationship?
Choices:
W < N − 35
W > N + 35
W = N − 35
W = N + 35
Answer: D
Question: There are 4 physics books and 1 chemistry book on shelf P and 3 physics books on shelf Q. One book is moved from shelf P to shelf Q. A student picks up a book from shelf Q. What is the probability that the chemistry book is taken by the student?
Choices:
1/10
1/12
1/15
1/20
Answer: D
Question: If 3a – 2b – 4c = 32 and √3a-√(2b+2c)=4, what is the value of a + b + c?
Choices:
9
10
12
14
Answer: C
Question: If a car had traveled 35 kmh faster than it actually did, the trip would have lasted 30 minutes less. If the car went exactly 105 km, at what speed did it travel?
Choices:
55 kmh
60 kmh
65 kmh
70 kmh
Answer: D
Question: To celebrate a colleague's retirement, the T coworkers in an office agreed to share equally the cost of a catered lunch. If the lunch costs a total of Y dollars and S of the coworkers fail to pay their share, which of the following represents the additional amount, in dollars, that each of the remaining coworkers would have to contribute so that the cost of the lunch is completely paid?
Choices:
Y/(T-S)
SY/(T-S)
SY/T(T-S)
Y(T-S)/T
Answer: C
Question: The ratio of two quantities is 2 : 3. If each of the quantities is increased by 6, what is the ratio of the new quantities?
Choices:
6 : 7
8 : 9
8 : 3
It cannot be determined from the information given
Answer: D
Question: If $1000,000 is invested at x percent simple annual interest for n years, which of the following represents the total amount of interest, in dollars, that will be earned by this investment in the n years?
Choices:
10,000(x/100)^n
10,000n(x/100)
1,000,000n(x/100)
10,000n(1+x/100)
Answer: C
Question: How many bricks each measuring 30cm x 12cm x 10cm, will be needed to build a wall 6m x 4m x 20.5m
Choices:
1366
6444
7266
None of these
Answer: A
Question: A and B starts a business with Rs.8000 each, and after 5 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
Choices:
22:13
23:12
36:23
11:10
Answer: C
Question: When 1/10 percent of 1,000 is subtracted from 1/10 of 1,000, the difference is
Choices:
100
999
99
9
Answer: C
Question: A and B start a business with Rs.6000 and Rs.8000 respectively. Hoe should they share their profits at the end of one year?
Choices:
3:4
3:5
3:2
3:1
Answer: A
Question: Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
Choices:
10 a.m.
10.30 a.m.
11 a.m.
11.30 a.m
Answer: A
Question: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Choices:
16
18
10
14
Answer: A
Question: Quarters (US $ 0.25) are stacked in 18 columns. The first column has 10 quarters and each subsequent column has 3 quarters more than the previous column. Find the total number of quarters.
Choices:
630
578
639
646
Answer: C
Question: In a room are five chairs to accommodate 3 people, one person to a chair. How many seating arrangements are possible?
Choices:
60
72
90
120
Answer: A
Question: A can do a job in 15 days and B can do it in 30 days. A and B working together will finish twice the amount of work in days?
Choices:
20
22 1/0
22 1/9
22 1/1
Answer: A
Question: A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
Choices:
40%
60%
70%
45.45%
Answer: D
Question: For integers x and y, when x is divided by y, the remainder is odd. Which of the following statement is not wrong?
Choices:
xy is odd
x and y share no common factors other than 1
either integer x or integer y is odd
The sum x + y is odd
Answer: C
Question: A miniature roulette wheel is divided into 9 equal sectors, each bearing a distinct integer from 1 to 9, inclusive. Each time the wheel is spun, a ball randomly determines the winning sector by settling in that sector. If the wheel is spun three times, approximately what is the probability that the product of the three winning sectors’ integers will be even?
Choices:
67%
83%
90%
96%
Answer: B
Question: The probability that a visitor at the mall buys a pack of candy is 30%. If three visitors come to the mall today, what is the probability T that exactly two visitors will buy a pack of candy?
Choices:
0.147
0.189
0.063
0.027
Answer: B
Question: Find the average of all the numbers between 9 and 26 which are divisible by 5.
Choices:
19
18
22
None
Answer: B
Question: Reduce 4128/4386 to its lowest terms
Choices:
13/17
16/17
13/18
None of these
Answer: B
Question: If xy+5z = x(y+z), which of the following must be true?
Choices:
2. x=5 and z=0
3. y=1 and z=0
4. x=1 or y=0
5. x=1 or z=0
Answer: A
Question: There are 23 balls in a box: 10 balls are green, 8 are blue and 5 are white. Then 1 green and 1 blue balls are taken from the box and put away. What is the probability that a blue ball is selected at random from the box?
Choices:
7/21
3/13
5/13
6/13
Answer: A
Question: Find the value of y from (12)^3 x 6^4÷432 = y?
Choices:
5232
5889
5184
5132
Answer: C
Question: Express Airlines has a transcontinental flight between Big City and Urbana - a distance of 1,500 km that it completes in three hours. Akatsuki is going from her home in Urbana to a convention in Big City that starts 5 hours after her plane leaves for Big City and ends 6 hours later. Akatsuki's plane suffers a mechanical failure and is forced to land at the Middlebrook airport, located 750 km away from both Big City and Urbana. What's the longest amount of time that Akatsuki can wait for repairs before she misses her convention?
Choices:
10.5 hours
5 hours
4.5 hours
3 hours
Answer: A
Question: Compute the number of distinct line segments that can be drawn inside a square such that
the endpoints of the segment are on the square and the segment divides the square into two
congruent triangles.
Choices:
4
3
2
1
Answer: C
Question: If v is an integer, which of the following must be an even integer?
Choices:
v^2-4v+6
v^2-5v+5
v^2+3v+8
v^2+2v+10
Answer: C
Question: Varma can read a book in k minutes. What part of the book can he read in 12 minutes?(k>12)
Choices:
k/8
8 + k
12/k
8/k
Answer: C
Question: Remainder of (6^17+17^6)/7= ?
Choices:
1
0
3
4
Answer: B
Question: A certain pilot flew 400 miles to City K at an average speed of 450 miles per hour with the wind and made the trip back at an average speed of 250 miles per hour against the wind. Which of the following is closest to the pilot’s average speed, in miles per hour, for the round-trip?
Choices:
290
300
310
320
Answer: D
Question: In a bag there are 3 Snicker's bars and 2 Milky Way bars. What is the probability of choosing at least one Snickers when choosing two consecutive candy bars randomly?
Choices:
9/10
2/5
3/5
½
Answer: A
Question: The number of permutations of the letters of the word 'MESMERISE' is?
Choices:
9!/(2!)2 3!
9!/(8!)2 3!
8!/(2!)2 3!
9!/(2!)2 1!
Answer: A
Question: A password for a computer is six digits from 0 and 9. The six digit number is a prime number. What is the approximate probability that the last digit is a 3?
Choices:
1/4
1/10
1/20
1/50
Answer: A
Question: The average price of 10 books is Rs. 12 while the average price of 8 of these books is Rs. 11.75. Of the remaining two books, if the price of one book is 60% more than the price of the other, what ia the pice of each of these two books ?
Choices:
10,16
10,18
10,19
10,91
Answer: A
Question: A train covers a distance of 15 km in 10 min. If it takes 10 sec to pass a telegraph post, then the length of the train is?
Choices:
150 m
120 m
200 m
165 m
Answer: C
Question: If |4x+2| = 46, what is the sum of all the possible values of x?
Choices:
-1
4
-5
6
Answer: A
Question: Total of ages of A,B and C at present is 90 years. If ratio of this ages is 2 : 3 : 4 what will be the age of C after 5 years?
Choices:
45 years
40 years
37 years
None of the above
Answer: A
Question: Profit of one hospital is 320 percent of the cost. If the cost increases by 25 % but the SP is same, approximately what % of the SP is the profit?
Choices:
45%
50%
70%
75%
Answer: C
Question: (1000)7÷(10)20=?
Choices:
10
1000
10000
None of these
Answer: A
Question: The area of circle O is added to its diameter. If the circumference of circle O is then subtracted from this total, the result is 8. What is the radius of circle O?
Choices:
2
3
4
5
Answer: C
Question: If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is ?
Choices:
4/17
4/11
4/13
4/12
Answer: C
Question: There are 35 students in a hostel. If the no. of students increases by 5, the expenses of the mess increase by Rs.42/day while the average expenditure per head diminishes by Rs1. Find the original expenditure of the mess?
Choices:
s. 69.80
s. 72.80
s. 78.80
s. 79.80
Answer: B
Question: When the price of an article was reduced by 20% its sale increased by 80%. What was the net effect on the sale?
Choices:
44% increase
60% increase
66% increase
66% decrease
Answer: A
Question: There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle.
Choices:
10
12
18
14
Answer: B
Question: A whale goes on a feeding frenzy that lasts for 9 hours. For the first hour he catches and eats x kilos of plankton. In every hour after the first, it consumes 3 kilos of plankton more than it consumed in the previous hour. If by the end of the frenzy the whale will have consumed a whopping accumulated total 360 kilos of plankton, how many kilos did he consume on the sixth hour?
Choices:
43
50
53
62
Answer: A
Question: A, B and C have Rs.350 between them, A and C together have Rs.200 and B and C Rs.350. How much does C have?
Choices:
A)200
C)180
D)170
E)160
Answer: A
Question: Xavier starts from P towards Q at a speed of 90 kmph and after every 12 mins increases his speed by 10 kmph. If the distance between P and Q is 51km, then how much time does he take to cover the distance?
Choices:
32
30
36
40
Answer: C
Question: The diameter of a garden roller is 1.4 m and it is 2 m long. How much area will it cover in 4 revolutions ? (use Ï€ = 22â„7)
Choices:
35.2 m2
48 m2
36 m2
None of these
Answer: A
Question: From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first card is a spade and the second card is a jack is?
Choices:
1/13
1/26
1/52
1/4
Answer: C
Question: A trader bought a car at 20% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
Choices:
62%
12%
19%
22%
Answer: B
Question: How many times are the hands of a clock at right angle in 2 days?
Choices:
82
84
86
88
Answer: D
Question: The compound interest on Rs.2800 for 1 1/2years at 10% per annum is
Choices:
Rs.436.75
Rs.434
Rs.420
None
Answer: B
Question: A coin is tossed live times. What is the probability that there is at the least one tail?
Choices:
31/32
1/10
30/32
25/27
Answer: A
Question: The price of a car is marked at $11,000. If the car has successive discounts of 20%, 15% and 5%, then at what price does a customer buy the car?
Choices:
$6924
$7106
$7348
$7580
Answer: B
Question: Six students - 3 girls and 3 boys - are to sit side by side for a makeup exam. How many ways could they arrange themselves given that no two girls and no two boys can sit next to one another?
Choices:
B)36
C)72
D)240
E)720
Answer: B
Question: The price of a coat in a certain store is $500. If the price of the coat is to be reduced by $300, by what percent is the price to be reduced?
Choices:
15%
20%
60%
30%
Answer: C
Question: What is the smallest positive integer that can be multiplied by 432 to make it a perfect square?
Choices:
3
5
7
11
Answer: A
Question: Obra drove 120π meters along a circular track. If the area enclosed by the circular track on which she drove is 57,600π square meters, what percentage of the circular track did Obra drive?
Choices:
12.5%
18.75%
25%
33.3%
Answer: C
Question: Difference of two numbers is 1650. If 7.5% of the number is 12.5% of the other number , find the number ?
Choices:
3660, 2000
3000, 4160
2490, 4150
2475, 4125
Answer: D
Question: If a code word is defined to be a sequence of different letters chosen from the 10 letters A, B, C, D, E, F, G, H, I, and J, what is the ratio of the number of 6-letter code words to the number of 4-letter code words?
Choices:
30
35
40
45
Answer: A
Question: A's speed is 15/13 times that of B. If A and B run a race, what part of the length of the race should A give B as a head start, so that B beats A by 25% of the length of the race?
Choices:
35%
52%
42%
46%
Answer: A
Question: There are X girls in a class, and their average height is P inches. In the same class, there are Y boys with an average height of Q inches. What is the average height of all the students in the class?
Choices:
(M + N)/(X + Y)
(XM + YN)/(M + N)
(XP + YQ)/(X + Y)
MN/XY
Answer: C
Question: Three cannons are firing at a target. If their individual probabilities to hit the target are 0.2, 0.1, and 0.7 respectively, what is the probability that none of the cannons will hit the target after one round of fire?
prob. that all the cannons will hit the target = .06
prob. that none of the cannons will hit = 1 - .06 = .94
Choices:
0.12
0.218
0.216
0.941
Answer: C
Question: A and B together have Sterling 1210. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have?
Choices:
Sterling 484
Sterling 550
Sterling 664
None
Answer: A
Question: What is the units digit of (63^4)(41^7)(99^9)?
Choices:
6
7
8
9
Answer: D
Question: How many factors does 35^2 have?
Choices:
8
24
25
26
Answer: B
Question: If the cost price of 24 chocolates is equal to the selling price of 16 chocolates, the gain percent is :
Choices:
8%
50%
40%
None of these
Answer: B
Question: Company C sells a line of 25 products with an average retail price of $1,400. If none of these products sells for less than $420, and exactly 10 of the products sell for less than $1,000, what is the greatest possible selling price of the most expensive product?
Choices:
11400
13200
15400
16800
Answer: D
Question: A volume of 11248 l water is in a container of sphere. How many hemisphere of volume 4l each will be required to transfer all the water into the small hemispheres?
Choices:
2812
2734
4222
4254
Answer: A
Question: A train 200m long passes a standing man in 15 seconds. What is the speed of the train?
Choices:
36km/hr
48km/hr
50km/hr
32km/hr
Answer: B
Question: The average number of shirts with Salman, Ambani and Dalmiya is 60, if all of them reached a shopping mall in Delhi and purchased 5 shirts each of them then average number of shirt each of them now has
Choices:
65
62
64
61
Answer: A
Question: Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.
Choices:
1 : 2
1 : 1
4 : 3
None of these
Answer: C
Question: A tank contains 6,500 gallons of a solution that is 5 percent sodium chloride by volume. If 2,500 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
Choices:
6.12%
7.12%
8.12%
9.12%
Answer: C
Question: The diagonals of a rhombus are 15 cm and 20 cm. Find its area?
Choices:
266
150
277
281
Answer: B
Question: A, B and C can do a work in 90, 30 and 45 days respectively. If they work together, in how many days will they complete the work?
Choices:
15
77
8
54
Answer: A
Question: A car has a 20-gallon fuel to travel 500 miles.At this rate, how many gallons of fuel are needed for a 1000 mile car ?
Choices:
30
20
40
50
Answer: C
Question: What is the area of square field whose side of length 15 m?
Choices:
225
772
882
21
Answer: A
Question: A sum fetched a total simple interest of Rs. 4016.25 at the rate of 1% p.a. in 3 years. What is the sum?
Choices:
132877
122882
133875
132887
Answer: C
Question: A man can buy a new house in 4 years with all of his earnings. But he spend the same amount in household expenses in 8 years and for savings in 12 years. How many time needed for buying the house?
Choices:
20
30
15
24
Answer: D
Question: If a trader sold two cars each at Rs. 325475 and gains 12% on the first and loses 12% on the second, then his profit or loss percent on the whole is?
Choices:
1.44%
1.94%
2.44%
1.47%
Answer: A
Question: Ravi purchased a refrigerator and a mobile phone for Rs. 15000 and Rs. 8000 respectively. He sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 11 percent. Overall he make a.
Choices:
288
27
200
280
Answer: D
Question: Two cyclists are running on a circular track of 500m.They start from the same point A at the same time.If they meet for the first time at a point 100 m from A, which of the following could be the possible ratio of their speeds?
Choices:
1:4
3:5
5:7
7:11
Answer: A
Question: If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?
Choices:
5:3
1:5
5:1
None of them
Answer: A
Question: A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Choices:
150
289
369
287
Answer: A
Question: The sum of two numbers is 65 and their product is 1050. What will be the sum of their reciprocals?
Choices:
(11/210)
(35/4)
(75/8)
None
Answer: A
Question: In a covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay double his speed, then he would take 1 hour less than Sammer. Abhay's speed is?
Choices:
5 km/hr
9 km/hr
2 km/hr
1 km/hr
Answer: A
Question: Find the third proportional to 2 and 8?
Choices:
32
36
19
20
Answer: A
Question: Right triangle ABC is to be drawn in the xy-plane so that the right angle is at A and AB is parallel to the y-axis. If the x- and y-coordinates of A, B, and C are to be integers that are consistent with the inequalities -4 ≤ x ≤ 2 and 4 ≤ y ≤ 9 , then how many different triangles can be drawn that will meet these conditions?
Choices:
432
864
2,916
148,824
Answer: B
Question: Find the invalid no.from the following series 15 46 63 71 75 77 78
Choices:
43
46
49
52
Answer: B
Question: If a positive integer n, divided by 5 has a remainder 2, which of the following must be true
I. n is odd
II. n+1 cannot be a prime number
III. (n+2) divided by 7 has remainder 2
Choices:
None
I and II only
II and III only
I, II and III
Answer: A
Question: Buffalo gives 4 liter milk, cow gives (1/2) liter milk and goat gives 1/4 liter milk. you have to get 20 liter milk by 20 animals.what is the number of cows?
Choices:
13
14
15
16
Answer: C
Question: If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:
Choices:
50 KM
40 KM
55 KM
120 KM
Answer: A
Question: The total weight of six nougat nuggets is 7 oz. What is the average (arithmetic mean) weight of one such nougat nugget?
Choices:
0.5 oz.
1.8 oz.
5 oz.
1.2 oz
Answer: D
Question: A quadilateral pqrs is inscribes in a circle of center o. PQ is parallel to RS and pq= 3rs,
also QR=PS. perimeter(pqrs)= perimeter of square whose area is 36sqm,then find the approx area of pqrs
Choices:
12root(3)
9root(3)
18root(3)
12root(3)
Answer: C
Question: A man starts from B to K, another starts from K to B, at the same time. After passing each other they complete their journeys in 3.33 and 4.80 hours respectively. Find the speed of the second man if the speed of the first is 12 km/ hr
Choices:
10 kms/hr
14 kms/hr
Data inadequate
none
Answer: A
Question: Eight children — A, B, C, D, E, F, G, and H — are going to sit in eight chairs in a row. Child C must be somewhere to the left of child D. How many possible configurations are there for the children?
Choices:
5040
10,080
20,160
40,320
Answer: C
Question: If the ratio of x to y is 1 to 5, then (y-x)/(x+y)?
Choices:
-3/7
2/3
1
2/6
Answer: B
Question: A train speeds past a pole in 15 sec and a platform 110 m long in 25 sec, its length is?
Choices:
165
988
177
171
Answer: A
Question: Find the least number of complete years in which a sum of money put out at 25% compound interest will be more than double of itself?
Choices:
5 years
2 years
4 years
9 years
Answer: C
Question: (112 x 54) = ?
Choices:
70000
76500
77200
85200
Answer: A
Question: In a company ones salary increases 6/5 times in every year. After 4 year of joining average salary is 1342. Then what's the starting salary of the company?
Choices:
1000
1100
1200
1300
Answer: A
Question: There are 5 questions in a question paper. In an examination 5% students answer all questions and 5% answered none. 50% of the rest answered 3 questions and 20% answered 2 questions and 300 answered only 1 question. How many students appeared for the test?
Choices:
1500
1600
1700
1800
Answer: A
Question: The length and breadth of a rectangular floor are 16.25 metre and 12.75 metre respectively. Find how many minimum number of square tiles would be required to cover it completely?
Choices:
2570
2800
3315
None of these
Answer: C
Question: If 0.5% of A =95 paise, then the value of A is ?
Choices:
Rs. 190
Rs. 1.70
Rs. 4.25
None
Answer: A
Question: Look at this series: 83, 80, 85, 82, 87, 84, ... What number should come next?
Choices:
89
85
83
80
Answer: A
Question: A dice is rolled 3times & sum of 3 no.'sappearing on the uppermost face is 15. The chance that the first roll was four is?
Choices:
3/103
1/108
2/113
2/115
Answer: B
Question: The value of (10^7-10^2)/(10^6-10^3) is closest to which of the following?
Choices:
10
10^2
10^3
10^4
Answer: A
Question: In Town X, 64 percent of the population are employed, and 42 percent of the population are employed males. What percent of the employed people in Town X are females?
Choices:
25%
32%
34%
52%
Answer: C
Question: If in a kindergarten class, there are five children 3 feet 4 inches tall (indicated by notation 3'4"), two children 4'3" tall and thirteen children 2'7" tall, which of the following is the median height of the children?
Choices:
2'7"
3'3"
3'4"
4'3
Answer: A
Question: How many times digit 6 is used while writing numbers from 80 to 1000?
Choices:
300
252
225
26
Answer: C
Question: A property decreases in value every year at the rate of 6 1/4% of its value at the beginning of the year its value at the end of 3 years was Rs.21093. Find its value at the beginning of the first year?
Choices:
25600.24
25600.17
25600.28
25600.22
Answer: A
Question: A bag consists of 30 marbles, of which 5 are blue, 9 are red, and the remainder are white. If Lisa is to select a marble from the bag at random, what is the probability that the marble will be red or white?
Choices:
5/6
1/4
1/8
1/16
Answer: A
Question: If the sum of two numbers is 55 and the H.C.F. and L.C.M of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to:
Choices:
601/55
11/120
120/11
120/13
Answer: B
Question: An electric pump can fill a tank in 10 hours. Because of a leak in the tank, it took 20 hours to fill the tank. If the tank is full, how much time will the leak take to empty it?
Choices:
12hours
20hours
5hours
15hours
Answer: B
Question: There are 7 players in a bowling team with an average weight of 76 Kg. If two new players join the team, one weighs 110 Kg and the second weighs 60 Kg, what will be the new average weight?
Choices:
78 Kg.
75 Kg.
70 Kg.
72 Kg.
Answer: A
Question: A fair coin is tossed repeatedly. If heads appears on first 7 tosses what is the probability that tail appears on the next two tosses?
Choices:
1/5
1/3
1/4
1/6
Answer: C
Question: Right now, the ratio between the ages of Sandy and Molly is 4:3. After 6 years, Sandy’s age will be 42 years. What is Molly's age right now?
Choices:
27
30
33
36
Answer: A
Question: The bus that travels from St. Louis to Chicago and back comes to St. Louis every 2 hours while the bus that travels from St. Louis to Springfield and back comes to St. Louis every 5 hours. If at 06:00 o'clock both bused arrived at St. Louis, at what time will they meet in St. Louis again?
Choices:
16:00.
20:00.
22:00.
24:00.
Answer: A
Question: A woman buys a soccer ball for rs.9.00 and sells it for rs.12.00. Find her gain %.
Choices:
9%
33.33%
24%
12%
Answer: B
Question: Which of the following is equal to 3^k*5^(k-1)?
Choices:
3*15^(k-1)
15^k
3*15^k
15^(2k-1)
Answer: A
Question: A train running at 7/11 of its own speed reached a place in 22 hours. How much time could be saved if the train would have run at its own speed?
Choices:
6hrs
8hrs
9hrs
11hrs
Answer: B
Question: Jake, Lena, Fred, John and Inna need to drive home from a corporate reception in an SUV that can seat 6 people. If only Inna or Jake can drive, how many seat allocations are possible?
Choices:
42
120
240
720
Answer: C
Question: Point (j,k) is on the circle represented by j^2+k^2=10, and j, k are integers. How many such points are possible?
Choices:
2
4
6
8
Answer: D
Question: In a company with 48 employees, some part-time and some full-time, exactly (1/3) of the part-time employees and (1/4) of the full-time employees take the subway to work. What is the greatest possible number R of employees who take the subway to work?
Choices:
13
14
15
16
Answer: C
Question: An entrepreneurship competition requires registering teams to have 3 team members, at least one of which must be a technology co-founder. If all team members must come from the auditorium during the meet and greet event which has 4 technologists and 4 businessmen, how many possible team submissions are possible?
Choices:
52
162
198
202
Answer: A
Question: Dan can fill Q cans of water in 7 minutes. If there are R cans of water in one gallon, how many gallons can Dan fill in 42 minutes?
Choices:
6R/Q
6Q/R
7Q/R
7R/Q
Answer: B
Question: Running at the same constant rate, 15 identical machines can produce a total of 45 bags per minute. At this rate, how many bags could 150 such machines produce in 8 minutes?
Choices:
1,800
2,700
3,600
4,800
Answer: C
Question: Given that N=a^3*b^4*c^5 where a, b and c are distinct prime numbers, what is the smallest number with which N should be multiplied such that it becomes a perfect square, a perfect cube as well as a perfect fifth power?
Choices:
a^5*b^4*c^3
a^2*b^3*c^5
a^7*b^6*c^5
a^27*b^26*c^25
Answer: D
Question: According to the directions on a packet of smoothie mix, 1 3-ounce packet of smoothie mix is to be combined with 12 ounces of water to make a smoothie. How many 3-ounce packets of smoothie mix are required to prepare 120 12-ounce smoothies?
Choices:
150
180
240
600
Answer: C
Question: Find the cost of fencing around a circular field of diameter 22 m at the rate of Rs.3 a meter?
Choices:
132
772
207.3
261
Answer: C
Question: In a sequence, each term is obtained by adding 5 to the preceding one. If the sum of the first 20 terms is equal to 350, what is the result of the addition of the first 30 terms?
Choices:
1175
1270
1275
1280
Answer: C
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 25 seconds. The ratio of their speeds is?
Choices:
4/1
3/3
3/5
5/2
Answer: A
Question: The price of lunch for 15 people was $210.00, including a 15 percent gratuity for service. What was the average price per person, EXCLUDING the gratuity?
Choices:
$12.72
$13.80
$14.00
$15.87
Answer: A
Question: Solve for x
if (log2)(1-x/2)=x-2.
Choices:
2
3
4
5
Answer: A
Question: A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.85 less, he could have gained 25%. What is the cost price?
Choices:
s.375
s.425
s.350
s.300
Answer: B
Question: In a certain company, a third of the workers do not have a retirement plan. 10% of the workers who do not have a retirement plan are women, and 40% of the workers who do have a retirement plan are men. If 120 of the workers of that company are men, how many of the workers are women?
Choices:
95
105
120
91
Answer: D
Question: Rs 50000 is divided into two parts One part is given to a person with 10% interest and another part is given to a person with 20 % interest. At the end of first year he gets profit 7000 Find money given by 10%?
Choices:
30000
50000
60000
70000
Answer: A
Question: Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is?
Choices:
17/29
17/21
17/20
17/212
Answer: C
Question: Two years ago, Arthur gave each of his five children 20 percent of his fortune to invest in any way they saw Fit. In the first year, three of the children, Alice, Bob, and Carol, each earned a profit of 50 percent on their Investments, while two of the children, Dave and Errol, lost 40 percent on their investments. In the second Year, Alice and Bob each earned a 10 percent profit, Carol lost 60 percent, Dave earned 75 percent in profit, And Errol lost all the money he had remaining. What percentage of Arthur's fortune currently remains?
Choices:
97%
100%
107%
99%
Answer: D
Question: A dishonest grocer professes to sell pure butter at cost price, but he mixes it with adulterated fat and thereby gains 15%. Find the percentage of adulterated fat in the mixture assuming that adulterated fat is freely available?
Choices:
25%
33.33%
40%
15%
Answer: D
Question: Jack and Jill are marathon runners. Jack can finish a marathon (40 km) in 4.5 hours and Jill can run a marathon in 4.0 hours.What is the ratio of their average running speed? (Jack: Jill)
Choices:
15/14
8/9
5/4
Cannot be determined
Answer: B
Question: A train sets off at 2 p.m. at the speed of 60 kmph. Another train starts at 3:30 p.m. in the same direction at the rate of 70 kmph. At what time the trains will meet?
Choices:
0.20 p.m
0.30 a.m.
0.38 p.m
0.10 p.m
Answer: B
Question: In a certain math department, students are required to enroll in either Calculus or Trigonometry, each of which is offered in beginner and advanced courses. The number of students enrolled in Trigonometry is 50% greater than the number of students enrolled in Calculus, and 90% of Calculus students are enrolled in the beginner course. If 4/5 of students are in the beginner courses, and one student is selected at random, what is the probability that an advanced Trigonometry student is selected?
Choices:
16%
20%
24%
40%
Answer: A
Question: A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 38 years now, the son's age seven years back was?
Choices:
12yr
20yr
25yr
30yr
Answer: A
Question: A store owner estimates that the average price of type A products will increase by 35% next year and that the price of type B products will increase by 20% next year. This year, the total amount aid for type A products was $3500 and the total price paid for type B products was $6300. According to the store owner's estimate, and assuming the number of products purchased next year remains the same as that of this year, how much will be spent for both products next year?
Choices:
$15,325
$16,000
$12,285
$17,155
Answer: C
Question: Of 70 players on a football team, 52 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total?
Choices:
59
63
64
92
Answer: C
Question: If a(a + 2) = 35 and b(b + 2) = 35, where a ≠ b, then a + b =
Choices:
-6
-7
-2
-10
Answer: C
Question: Two trains run in opposite directions on a circular track. Train A travels at a rate of 4π miles per hour and Train B runs at a rate of 6π miles per hour. If the track has a radius of 6 miles and the trains both start from Point W at the same time, how long, in hours, after the trains depart will they again meet at Point W?
Choices:
6
9
18
22
Answer: A
Question: In what time will a train 100 m long cross an electric pole, it its speed be 90 km/hr?
Choices:
2.9
4 sec
2.8
2.1
Answer: B
Question: The total circumference of two circles is 80. If the first circle has a circumference that is exactly twice the circumference of the second circle, then what is the approximate sum of their two radii?
Choices:
6.0
10.6
9.7
18.0
Answer: B
Question: Which of the following equations has a root in common with x^2−3x+2=0 ?
Choices:
x^2-2x+1=0
x^2-x+1=0
x^2-3x+3=0
x^2-7x=0
Answer: A
Question: Three different containers contain 496 litres, 403 litres and 713 litres of mixtures of milk and water respectively. What biggest measure can measure all the different quantities exactly ?
Choices:
31 litres
32 litres
33 litres
34 litres
Answer: A
Question: Find the missing number. 1, 4, 9, 16, 25, 36, 49, (....)
Choices:
64
56
81
85
Answer: A
Question: A rabbit on a controlled diet is fed daily 300 grams of a mixture of two foods, food X and food Y. Food X contains 10% protein and food Y contains 15% protein. If the rabbit's diet provides exactly 36 grams of protein daily, how many grams of food X are in the mixture.
Choices:
140
150
160
180
Answer: D
Question: When positive integer m is divided by positive integer x, the reminder is 7 and when positive integer n is divided by positive integer y, the reminder is 11. Which of the following E is a possible value for x + y?
I. 18
II. 19
III. 20
Choices:
II only
E=III only
II and III only
None
Answer: B
Question: 96% of the population of a village is 23040. The total population of the village is?
Choices:
24000
26892
29991
29878
Answer: A
Question: The average age of 15 students of a class is 16 years. Out of these, the average age of 5 students is 14 years and that of the other 10 students is 16 years. Tee age of the 15th student is?
Choices:
16years
14years
12years
10years
Answer: D
Question: The length of a train and that of a platform are equal. If with a speed of 108 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
Choices:
799
719
750
900
Answer: D
Question: We made a down payment of $100 and borrowed the balance on a new piano which cost $1000. The balance with interest was paid in 23 monthly payments of $40 each and a final payment of $70. The amount of interest paid was what percent of the amount borrowed?
Choices:
7%
8%
9%
10%
Answer: D
Question: A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?
Choices:
100 m
600 m
800 m
400 m
Answer: A
Question: P is a prime number. If 6p is between 15 and 95, which of the following W can be a value of 7p + 2?
Choices:
W=79
121
65
21
Answer: A
Question: David has s pairs of shoes, which is 1/4 as many as Mary and twice as many as Jones. In terms of s, how many pairs of shoes do the three of them have combined?
Choices:
7/2*s
3s
11/2*s
5/2*s
Answer: C
Question: 2224 × 9997 = ?
Choices:
22255538
22233328
22266628
22233327
Answer: B
Question: If Finn was 15 months old one year ago, how old was he, in months, x months ago?
Choices:
x − 12
18 − x
27 − x
30 − x
Answer: C
Question: A, B and C can do a work in 6 days, 8 days and 12 days respectively. In how many days can all three of them working together, complete the work?
Choices:
2 2/3 days.
7 2/3 days.
1 2/3 days.
5 2/3 days.
Answer: A
Question: (A% of 4B + B% of A) is equal to ?
Choices:
B% of A
5% of AB
AB% of 3
None
Answer: B
Question: Pipes A and B can fill a tank in 4 and 7 hours. Pipe C can empty it in 12 hours. If all pipes are opened together, then the tank will be filled in?
Choices:
13/12 hr
42/13 hr
13/42hr
14/11 hr
Answer: B
Question: After decreasing 24% in the price of an article costs Rs.912. Find the actual cost of an article?
Choices:
1300
1200
1100
None of these
Answer: B
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?
Choices:
190
177
188
112
Answer: A
Question: 5358 x 51 = ?
Choices:
273243
273247
273250
273258
Answer: D
Question: Elena’s bread recipe calls for 5 ounces of butter for each 7 cups of flour used. She needs to make 4 times the original recipe. If 12 ounces of butter is used, then how many cups of flour are needed?
Choices:
4
9
13
28
Answer: D
Question: The price of a certain product increased by the same percent from 1960 to 1970 as from 1970 to 1980. If its price of $1.20 in 1970 was 150 percent of its price in 1960, what was its price in 1980?
Choices:
$ 1.80
$ 2.40
$ 2.70
$ 3.00
Answer: A
Question: Solve for x and check: x + 5 = 3
Choices:
3
1
-2
4
Answer: C
Question: A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
Choices:
25 km
28 km
24 km
20 km
Answer: D
Question: A number has exactly 32 factors out of which 4 are not composite. Product of these 4 factors (which are not composite) is 30. How many such numbers G are possible?
Choices:
4
6
3
Not possible
Answer: B
Question: 19 chess players take part in a tournament. Every player plays twice with each of his opponents. How many games are to be played?
Choices:
342
422
540
618
Answer: A
Question: The sector of a circle has radius of 21 cm and central angle 130o. Find its perimeter?
Choices:
89.7
91.7
91.3
91.1
Answer: A