antoine-444/aqua_rat_dataset huggingface dataset:
Question: A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4 litres a minute. When the tank is full, the inlet is opened and due to the leak the tank is empty in 8 hours. The capacity of the tank (in litres) is
Choices:
5770 litres
5760 litres
5750 litres
5740 litres
Answer: B
Question: Find the term next in series ....
1, 1/2,3/2,2,5,1/3,16/3,15,12,1/4,25/4,?
Choices:
next number is 48
40
43
44
Answer: A
Question: If the product of two numbers is 17820 and their H.C.F. is 12, find their L.C.M.
Choices:
2500
1485
1574
None of these
Answer: B
Question: Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choices:
9.6
10
8
12
Answer: C
Question: The length of a rectangle is increased by 20% and its breadth is decreased by 20%. What is the effect on its area?
Choices:
9600
1000
10000
2887
Answer: A
Question: The sum of two numbers is 16. The difference is 0. What are the two numbers?
Choices:
8-8
9-7
11-5
13-3
Answer: A
Question: How many tiems do the hands of a clock coincide in day?
Choices:
12
22
24
None
Answer: B
Question: Which of the following is closer to √0.8+√0.05?
Choices:
0.7
0.9
1.1
1.2
Answer: C
Question: If Henry were to add 9 gallons of water to a tank that is already 3/4 full of water, the tank would be 7/8 full. How many gallons of water would the tank hold if it were full?
Choices:
40
64
72
96
Answer: C
Question: Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 14 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Choices:
415 km
420 km
480 km
490 km
Answer: B
Question: If the ratio of the ages of two friends A and B is in the ratio 3 : 5 and that of B and C is 3 : 5 and the sum of their ages is 147, then how old is B?
Choices:
75 Years
45 Years
49 Years
59 Years
Answer: B
Question: How many seconds will a 600 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
36 sec
77 sec
14 sec
12
Answer: A
Question: Every student of a certain school must take one and only one elective course. In last year, 1/2 of the students took P.E. as an elective, 1/3 of the students took Theatre as an elective, and all of the other students took Music. In this year, 1/3 of the students who took P.E. and 1/4 of the students who took Theatre left school, other students did not leave, and no fresh student come in. What fraction of all students took P.E. or Music?
Choices:
2/3
7/9
1/5
8/11
Answer: A
Question: The events A and B are independent. The probability that event A occurs is a and the probability that event B occurs is b. Which of the following is equal to the probability that exactly one of the events A and B occurs?
Choices:
b − ab
a + b − 2ab
a + b −ab
a + b
Answer: C
Question: If 7/10 of a pencil is green, 4/5 of the remaining is gold and the remaining 1/2 is white, what is the total length of the pencil?
Choices:
3
1
4
2
Answer: D
Question: Vikram borrowed rupees 6450 at 5% simple interest repayable in 4 equal installments. what will be the annual installment payable by him?
Choices:
1810
1910
1860
1850
Answer: A
Question: Which is odd one
10, 25, 45, 54, 60, 75, 80
Choices:
45
54
60
75
Answer: B
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.75 less, he could have gained 25%. What is the cost price?
Choices:
375
288
266
269
Answer: A
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow?
Choices:
2/28
2/21
2/22
2/26
Answer: B
Question: A trader has 30 kg of rice, a part of which he sells at 14% profit and rest at 6% loss. On the whole his loss is 4% . What is the quantity sold at 14% profit and that at 6% loss?
Choices:
3 and 27 kg
15 and 27 kg
20 and 30 kg
40 and 30 kg
Answer: A
Question: The original price of a certain TV set is discounted by x percent, and the reduced price is then discounted by 2x percent. If P is the original price of the TV Set, which of the following represents the price of the television set after the two successive discounts?
Choices:
P(1 - 0.03x + 0.0002x^2)
P(1 - 0.03x + 0.002x^2)
P(1 - 2x^2)
P(1 - 3x + 2x^2)
Answer: A
Question: The cost of 10 kg of mangos is equal to the cost of 24 kg of rice. The cost of 6 kg of flour equals the cost of 2 kg of rice. The cost of each kg of flour is $22. Find the total cost of 4 kg of mangos, 3 kg of rice and 5 kg of flour?
Choices:
987.6
941.6
637.6
667.6
Answer: B
Question: A certain store sells only black shoes and brown shoes. In a certain week, the store sold x black shoes and y brown shoes. If 2/7 of all shoes sold that week were black, which of the following expressions represents the value of y, in terms of x?
Choices:
5x/2
2x/3
3x/2
2x
Answer: A
Question: The speed of a boat in upstream is 100 kmph and the speed of the boat downstream is 180 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
99
88
40
23
Answer: C
Question: At Joel’s bookstore, the current inventory is 30% historical fiction. Of the historical fiction books, 30% are new releases, while 40% of the other books are new releases. What fraction of all new releases are the historical fiction new releases?
Choices:
9/37
2/5
8/15
2/3
Answer: A
Question: A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 35150. What percentage of profit did he make?
Choices:
27
58
26
11
Answer: B
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Choices:
2667
288
150
812
Answer: C
Question: The average marks of a class of 30 students is 40 and that of another class of 50 students is 60. Find the average marks of all the students?
Choices:
52.5
60
62.5
65
Answer: A
Question: Machine W can produce x units in 3/4 of the time it takes machine N to produce x units. Machine N can produce x units in 2/3 the time it takes machine O to produce x units. If all three machines are working simultaneously, what fraction of the total output is produced by machine N?
Choices:
1/3
4/13
8/29
6/33
Answer: B
Question: Two trains 140 meters and 160 meters long are running in the same direction with speeds of 92 km/hr, 56km/hr. In how much time will the first train cross the second
Choices:
25 sec
30 sec
28 sec
32 sec
Answer: B
Question: What is the are of an equilateral triangle of side 24 cm?
Choices:
74âˆš3 cm2
64âˆš3 cm2
64âˆš5 cm2
144âˆš3 cm2
Answer: D
Question: If m ≠ 1 and if nm/(n - m) = 1, what is the value of n in terms of m?
Choices:
(m - 1)/m
m/(1-m)
(m + 1)/m
(1 - m)/m
Answer: B
Question: If the L.C.M of two numbers is 450 and their product is 22500, find the H.C.F of the numbers.
Choices:
50
125
25
None of these
Answer: A
Question: The diagonals of a rhombus are 11 cm and 20 cm. Find its area?
Choices:
288
150
238
110
Answer: D
Question: A and B working together could mow a field in 28days and with the help of C they could have mowed it in 21 days. How long would C take by himself?
Choices:
84days
90days
72days
50days
Answer: A
Question: (2^2+4^2+6^2+.....+22^2)=?
Choices:
7996
9964
2024
1346
Answer: C
Question: In how many different ways can the letters of the word 'SOFTWARE' be arranged in such a way that the vowels always come together?
Choices:
360
1440
13440
4320
Answer: D
Question: Which of the following ratios is greatest?
Choices:
15 : 23
17 : 25
21 : 29
None
Answer: C
Question: In an examination 60% failed in Math and 40% failed in French. If 15% failed in both. What % of students passed in both.
Choices:
15%
20%
30%
10%
Answer: A
Question: A towel, when bleached, lost 10% of its length and 20% of its breadth. What is the percentage decrease in area?
Choices:
28%
44%
54%
64%
Answer: A
Question: A snooker tournament charges $40.00 for VIP seats and $10.00 for general admission (“regular” seats). On a certain night, a total of 320 tickets were sold, for a total cost of $7,500. How many fewer tickets were sold that night for VIP seats than for general admission seats?
Choices:
180
170
160
148
Answer: D
Question: A ladder 100 feet long is leaning against a vertical wall Its lower end is 60 foot from the bottom of the wall The side of the largest cubical box that can be placed between the wall and the ladder without disturbing the ladder is (to the nearest foot).
Choices:
34
21
40
30
Answer: A
Question: On dividing a certain number by 5, 7 and 8 successively, the remainders obtained are 2, 3 and 4 respectively. When the order of division is reversed and the number is successively divided by 8, 7 and 5, the respective remainders T will be:[/b]
Choices:
3, 4, 2
5, 4, 3
T=5, 5, 2
6, 4, 3
Answer: C
Question: The true discount on a bill of Rs.2160 is Rs.360.The banker's discount is
Choices:
431
432
433
None of these
Answer: B
Question: Salesperson A's compensation for any week is $280 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation?
Choices:
$7000
$9000
$11,000
$13,000
Answer: C
Question: In an increasing sequence of 10 consecutive integers, the sum of the first 5 integers is 550. What is the sum of the last 5 integers in the sequence?
Choices:
580
575
570
565
Answer: B
Question: In how many different number of ways 4 boys and 2 girls can sit on a bench?
Choices:
720
740
750
760
Answer: A
Question: Rs. 6000 is lent out in two parts. One part is lent at 7% p.a simple interest and the other is lent at 8% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest?
Choices:
5:5
5:8
5:4
5:2
Answer: A
Question: In a race, A beats B by 15 metres and C by 29 metres. If B and C run over the course together, B wins by 15 metres. What is the length of the course?
Choices:
225m
220m
160m
180m
Answer: A
Question: Marketing executives for a certain chewing gum company projected a 30 percent increase in revenue this year over that of last year, but revenue this year actually decreased by 25%. What percent of the projected revenue was the actual revenue ?
Choices:
57.7%
62.5%
64%
75%
Answer: A
Question: one train has crossing a bridge of length 340 m in 42 sec and same train has crossing a another bridge of 500 m in 50 sec. what is the approximate speed of the train in km/hr?
Choices:
64.8
72
76
78
Answer: B
Question: For every $20 that a billionaire spends, a millionaire spends the equivalent of 10 cents. For every $4 that a millionaire spends, a yuppie spends the equivalent of $1. The ratio of money spent by a yuppie, millionaire, and billionaire can be expressed as
Choices:
1 : 4 : 100
20 : 4 : 1
1:4:800
400 : 4 : 1
Answer: C
Question: Eshan and Mary each wrote two or three poem every day over a period of time eshan wrote 43 poems while Mary wrote 61. The number of days in this period is.....
Choices:
21
20
19
18
Answer: A
Question: If a positive odd integer N has p positive factors, how many positive factors will 3N have ?
Choices:
2p
P+1
2p+1
Cannot be determined
Answer: B
Question: Income and expenditure of a man are in the ratio 4 : 3. If the income of the person is Rs. 12000, then find his savings?
Choices:
2700
2800
2900
3000
Answer: D
Question: A tour group of 25 people paid a total of $670 for entrance to a museum. If this price included a 5% sales tax, and all the tickets cost the same amount, what was the face value of each ticket price without the sales tax?
Choices
Choices:
$23.94
$24
$25.46
$30
Answer: C
Question: A man buys an item at Rs. 600 and sells it at the loss of 20 percent. Then what is the selling price of that item
Choices:
Rs. 480
Rs. 860
Rs. 960
None of these
Answer: A
Question: If Rs. 10 be allowed as true discount on a bill of Rs. 110 due at the end of a certain time, then the discount allowed on the same sum due at the end of double the time is:
Choices:
Rs. 21.80
Rs. 22
Rs. 22.33
Rs. 18.33
Answer: D
Question: Two cars, Car1 and Car2 move towards each other from W and Y respectively with respective speeds of 20 m/s and 15 m/s. After meeting each other Car1 reaches Y in 10 seconds. In how many seconds does Car 2 reach W starting from Y?
Choices:
8.4 sec
33.6 sec
31.11 sec
16.8 sec
Answer: C
Question: A can finish a work in 12 days and B can do same work in half the time taken by A. then working together, what part of same work they can finish in a day?
Choices:
1/4
1/7
1/8
None of these
Answer: A
Question: Find how many positive integers less than 10,000 are there such thatthe sum of the digits of the no. is divisible by 3?
Choices:
2378
2875
3334
3579
Answer: C
Question: There are 3 green shirts, 2 white shirts, 5 blue shirts, and 7 red shirts in the wardrobe. What is the least number of shirts that you have to take out to make sure that you will have a matching pair?
Choices:
7
5
2
6
Answer: B
Question: If 4a = 16b and 8b = 13c, Find a:b:c?
Choices:
52:13:8
7:13:52
7:13:54
None of these
Answer: A
Question: A rectangular floor is covered by a rug except for a strip 4 meters wide along each of the four edge. If the floor is 25 meters by 20 meters, what is the area of the rug in square meters?
Choices:
266
204
224
324
Answer: B
Question: Ten telegenic contestants with a variety of personality disorders are to be divided into two “tribes” of four members each, tribe A and tribe B, for a competition. How many distinct groupings of two tribes are possible?
Choices:
126
210
1200
1260
Answer: B
Question: Find the value of
(10)150÷(10)146
Choices:
100
1000
10000
None of these
Answer: C
Question: The average salary per head of the entire staff of an office including the officers and clerks is Rs.90. The average salary of officers is Rs.600 and that of the clerks is Rs.84. If the number of officers is 2, find the number of officers in the office?
Choices:
1
8
9
5
Answer: A
Question: The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:
Choices:
127
235
305
315
Answer: A
Question: In each of the following questions a number series is given with one term missing. Choose the correct alternative that will continue the same pattern and fill in the blank spaces.
2, 7, 14, ?, 34, 47
Choices:
23
36
31
33
Answer: A
Question: What is the probability of getting exactly 1 head in a single throw of five fair coins?
Choices:
3/8
3/16
5/32
7/32
Answer: C
Question: If a store adds 60 chairs to its current inventory, the total number of chairs will be the same as three-halves the current inventory of chairs. If the manager wants to increase the current inventory by 50%, what will the new inventory of chairs be?
Choices:
60
100
180
160
Answer: C
Question: Find the value of x in the sequence of numbers 5,1,6,0,4,8,x,2 if the sum of the first 7 numbers is 30 and the average is 4.
Choices:
9
8
6
7
Answer: C
Question: if capacity of giving milk of a cow is y litre.from this 1litre is used to make tea.rest amount is multiply by 2 and then divided by 3.calculate the result if y=13 litre.
Choices:
5
8
9
4
Answer: B
Question: Marissa, Keith and Tony all go to Disneyland many times each summer. Together, they have all gone a total of 65 times. Marissa and Keith have gone 55 times total, while Keith and Tony have gone 40 times total. How many times has Keith gone just by himself?
Choices:
30
25
40
10
Answer: A
Question: In game of 500 points there are three participants A, B, and C. A game take place. A gives to B 80 points and to C 101 points. Then how many points can B give to C
Choices:
25 points
35 points
45 points
55 points
Answer: A
Question: Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.50 a kg to produce a mixture worth Rs. 6.30 a kg
Choices:
2:3
2:1
8:9
2:8
Answer: C
Question: What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 8?
Choices:
61,600
64,749
49,700
56,720
Answer: A
Question: (1^3 + 2^3 + 3^3 + ... + 10^3) = x?
Choices:
380
x=420
440
450
Answer: B
Question: A train 300 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choices:
54 Kmph
72 Kmph
18 Kmph
19 Kmph
Answer: A
Question: With a uniform speed a car covers a distance in 8 hours. Were the speed increased by 4 km/hr the same distance could be covered in 7 1⁄2 hours. What is the distance covered?
Choices:
480 km
420 km
Cannot be determined
None of these
Answer: A
Question: A trader mixes 10 kg of rice at Rs. 20 per kg with 20 kg of rice of other variety at Rs.40 per kg and sells the mixture at Rs. 40 per kg. His profit percent is:
Choices:
5%
8%
20%
None of these
Answer: C
Question: Three boys are ages 4, 6 and 7 respectively. Three girls are ages 5, 8 and 9, respectively. If two of the boys and two of the girls are randomly selected and the sum of the selected children's ages is z, what is the difference between the probability that z is even and the probability that z is odd?
Choices:
1/9
2/9
1/4
1/2
Answer: A
Question: Each Machine of type A has 3 steel parts and 3 chrome parts. Each machine of type B has 6 steel parts and 5 chrome parts. If a certain group of type A and type B machines has a total of 60 steel parts and 44 chrome parts, how many machines are in the group
Choices:
13
14
15
16
Answer: B
Question: When magnified 1,000 times by an electron microscope, the image of a certain circular piece of tissue has a diameter of 2 centimeter. The actual diameter of the tissue, in centimeters, is
Choices:
0.002
0.001
0.0005
0.0002
Answer: A
Question: Roja and Pooja start moving in the opposite directions from a pole. They are moving at the speeds of 7 km/hr and 3 km/hr respectively. After 4 hours what will be the distance between them?
Choices:
40 km
65 km
18 km
16 km
Answer: A
Question: A cube of edge 5 cm is cut into cubes each of edge 1 cm. The ratio of the total surface area of one of the small cubes to that of the large cube is equal to:
Choices:
1:25
1:52
1:522
None
Answer: A
Question: A diet contains 400 grams of a mixture of two foods, food X and food Y. Food X contains 10 percent protein and food Y contains 15 percent protein. If a diet provides exactly 48 grams of protein daily, how many grams of food X are in the mixture?
Choices:
220
240
260
280
Answer: B
Question: From given equation find the value of x: 2x² + 9x − 5
Choices:
−5
-6
6
-4
Answer: A
Question: 13 buckets of water fill a tank when the capacity of each bucket is 51 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 17 litres?
Choices:
39
23
12
24
Answer: A
Question: The sum of the non-prime numbers between 50 and 60, non-inclusive, is
Choices:
293
323
353
383
Answer: D
Question: The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?
Choices:
16 6/3%
16 2/3%
18 2/3%
16 25%
Answer: B
Question: A person lent a certain sum of money at 4% per annum at simple interest and in 8 years the interest amounted to Rs.340 less than the sum lent. What was the sum lent?
Choices:
Rs:518
Rs:519
Rs:500
Rs:520
Answer: C
Question: I. c3 - 988 = 343,
II. d2 - 72 = 49 to solve both the equations to find the values of c and d?
Choices:
a ≥ b
a < b
a ≤ b
a = b or the relationship between a and b cannot be established.
Answer: A
Question: In how many ways can a group of 3 people be selected out of 5 men and 7 women, so that 2 of them are of the same gender?
Choices:
125
155
175
225
Answer: C
Question: A palindrome is a number that reads the same front-to-back as it does back-to-front (e.g. 202, 575, 1991, etc.) p is the smallest integer greater than 800 that is both a prime and a palindrome. What is the sum of the digits of p?
Choices:
4
5
6
7
Answer: D
Question: The 52nd term of the series a, b , b, c, c, c, d, d, d, d, e, e, e, e, e, .... is
Choices:
k
l
j
t
Answer: C
Question: How many minutes does Aditya take to cover a distance of 400 m, if he runs at a speed of 20 km/hr
Choices:
1 1/5min
3 1/5min
4 1/5min
5 1/5min
Answer: A
Question: A and B invests Rs.6000 and Rs.8000 in a business. After 6 months, A withdraws half of his capital and B withdraws one-fourth of his capital. In what ratio should they share the profits at the end of the year?
Choices:
9:13
9:11
13:14
9:14
Answer: D
Question: An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 18-meter platform and caught it after it had traveled 53.4 meters. How many times did the ball bounce?
Choices:
6
7
8
9
Answer: A
Question: Can anyhow help me with an easy solution for this
3, 4, 49, 5, 3, 64, 7, 6, ?
Choices:
169
144
256
225
Answer: A
Question: There are 4 people of different heights standing in order of increasing height. The difference is 2 inches between the first person and the second person, and also between the second person and the third person. The difference between the third person and the fourth person is 6 inches and the average height is 77. How tall is the fourth person?
Choices:
81
83
85
87
Answer: B
Question: The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:
Choices:
1683
2523
3363
3565
Answer: A
Question: The denominator of a fraction is 8 greater than the numerator. If the numerator and the denominator are increased by 5, the resulting fraction is equal to 6â„7. What is the value of the original fraction?
Choices:
31/39
37/45
43/51
53/61
Answer: C
Question: A group of men decided to do a work in 15days, but 8 of them became absent. If the rest of the group did the work in 18days, Find the original number of men?
Choices:
48
54
33
45
Answer: A
Question: The elevator in an eleven-story office building travels at the rate of one floor per 1/4 minute, which allows time for picking up and discharging passengers. At the main floor and at the top floor, the operator stops for 1 minute. How many complete trips will an operator make during a 6-hour period?
Choices:
56
42
51
64
Answer: C
Question: Rohan spends 40% of his salary on food, 20% on house rent, 10% on entertainment and 10% on conveyance. If his savings at the end of a month are Rs. 1000. then his monthly salary is
Choices:
Rs. 5000
Rs. 4000
Rs. 3000
Rs. 2000
Answer: A
Question: A tradesman by means of his false balance defrauds to the extent of 40%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Choices:
96%
92%
84%
86%
Answer: A
Question: Present ages of X and Y are in the ratio 5:6 respectively. Seven years hence this ratio will become 6:7 respectively. What is X's present age in years?
Choices:
35 years
16 years
17 years
18 years
Answer: A
Question: What is the average of first 21 multiples of 4 ?
Choices:
A)44
C)79
D)81
E)82
Answer: A
Question: Find the greatest number which on dividing 4351 and 5161, leaves a reminder of 8 and 10 respectively
Choices:
111
129
101
141
Answer: C
Question: The average age of 10 students in a class is 15 years. If the age of teacher is also included, the average becomes 16 years, find the age of the teacher.
Choices:
26
28
29
45
Answer: A
Question: A man goes to his office from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming, what is the distance between his house and office?
Choices:
7
4
6
09
Answer: C
Question: Half a number plus 7 is 17.What is the number?
Choices:
9
10
11
20
Answer: D
Question: A bike agent buys 30 bicycles, of which 8 are first grade and the rest are second grade, for Rs 3,150, Find at what price he must sell the first grade bikes so that if he sells the second grade bikes at three quarters of the price, he may make a profit of 40% on his outlay.
Choices:
Rs 240
Rs 180
Rs 210
Rs 230
Answer: B
Question: A drawer holds 5 red hats and 5 blue hats. What is the probability of getting exactly three red hats or exactly three blue hats when taking out 8 hats randomly out of the drawer and returning each hat before taking out the next one?
Choices:
5/8
7/16
15/32
31/64
Answer: B
Question: If d is the smallest positive integer such that 3,150 multiplied by d is the square of an integer, then d must be
Choices:
5
6
7
14
Answer: D
Question: John takes 6 hrs to print 32 pages. Peter takes 5hrs to print 40 pages. In how many hours they will print 110 pages together ?
Choices:
8 hours 15 minutes
9 hours 15 minutes
11 hours
12 hours
Answer: A
Question: 70,78, 80,85,90,105,105,130,130,130
The list consists of the times in seconds that it took each of the 10 school children to run a distance of 400 mts . If the standard deviation of the 10 running times is 22.4, rounded to the nearest tenth of a second, how many of the 10 running times are more than 1 standard deviation below the mean of the 10 running times.
Choices:
1
3
4
5
Answer: A
Question: The Shopkeeper increased the price of a product by 25% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 70% of the required amount. What is the net difference in the expenditure on that product?
Choices:
12%
12.5%
13%
14%
Answer: B
Question: The greatest number of four digits which is divisible by 25, 40, 54 and 75 is:
Choices:
5400
5600
5800
5200
Answer: A
Question: The length of a rectangle is increased to 2 times its original size and its width is increased to 3 times its original size. If the area of the new rectangle is equal to 1800 square meters, what is the area of the original rectangle?
Choices:
200 square meters
300 square meters
400 square meters
500 square meters
Answer: B
Question: A man invests some money partly in 12% stock at 132 and partly in 10% stock at 80.To obtain equal dividends from both,he must invest the money in the ratio :
Choices:
3 : 5
11:8
16 : 15
None
Answer: B
Question: Working alone, Jerry finishes cleaning half the house in a third of the time it takes Nick to clean the entire house alone. Jerry alone cleans the entire house in 6 hours. How many hours will it take Nick and Jerry to clean the entire house if they work together?
Choices:
2
2.4
3
3.6
Answer: D
Question: .008/?= .01
Choices:
.8
.009
.0009
None of them
Answer: A
Question: I. a3 - 988 = 343,
II. b2 - 72 = 49 to solve both the equations to find the values of a and b?
Choices:
a ≥ b
a < b
a ≤ b
a = b or the relationship between a and b cannot be established.
Answer: A
Question: Tanks Q and B are each in the shape of a right circular cylinder. The interior of tank Q has a height of 10 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank Q is what percent of the capacity of tank B?
Choices:
80%
100%
120%
125%
Answer: A
Question: 4 dice are thrown simultaneously on the board. Find the probability show the same face.
Choices:
2/113
1/216
2/121
3/114
Answer: B
Question: 10 men, working 4 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the work in 12 days ?
Choices:
4 hours a day
6 hours a day
7 hours a day
8 hours a day
Answer: A
Question: If (x + 10)^2 = 144, which of the following could be the value of 2x?
Choices:
–22
–44
66
13
Answer: B
Question: Let f(x,y) be defined as the remainder when (x–y)! is divided by x. If x=36, what is the maximum value of y for which f(x,y)=0?
Choices:
12
18
20
30
Answer: D
Question: What percent is 6 gm of 1 kg?
Choices:
0.6%
0.006%
6%
None of these
Answer: A
Question: Ten years ago A was half of B in age. If the ratio of their present ages is 3 : 4, what will be the total of their present ages
Choices:
35
37
41
42
Answer: A
Question: The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 5 is:
Choices:
545
542
548
560
Answer: A
Question: A can do a piece of work in 12 days. He worked for 15 days and then B completed the remaining work in 10 days. Both of them together will finish it in.
Choices:
12 1/2 days
12 8/2 days
17 1/2 days
32 1/2 days
Answer: A
Question: The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ration of the number of boys to the number of girls in the class is?
Choices:
2:3
2:5
2:1
2:4
Answer: A
Question: If 7875 / 5.25 = 1500, then 787.5 / 52.5 is equal to ?
Choices:
15
12
14
16
Answer: A
Question: The ratio of number of boys and girls in a school is 2:5. If there are 490 students in the school, find the number of girls in the school?
Choices:
350
300
370
280
Answer: A
Question: What percent is 320 gm of 1 kg?
Choices:
40%
10%
8%
32%
Answer: D
Question: A train moves 100m in 2 sec and then find the speed travelled?
Choices:
900
50
180
none
Answer: C
Question: A selection committee is to be chosen consisting of 5 ex-technicians. Now there are 12 representatives from four zones. It has further been decided that if Mr. X is selected, Y and Z will not be selected and vice-versa. In how many ways it can be done?
Choices:
672
472
372
None
Answer: A
Question: 7 men and 2 boys working together can do four times as much work as a man and a boy. Working capacity of man and boy is in the ratio
Choices:
1:3
2:1
2:3
None of these
Answer: C
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
Choices:
33/91
33/29
33/18
33/11
Answer: A
Question: An empty pool being filled with water at a constant rate takes 8hours to fill to 4/5 of its capacity.how much more time will it take to finish filling the pool?
Choices:
5hr 20min
4hr 48min
3 hr 12min
5hr 40 min
Answer: D
Question: The radii of two cones are in ratio 2:1, their volumes are equal. Find the ratio of their heights.
Choices:
1:4
1:2
1:5
None of these
Answer: A
Question: A sum of Rs.312 was divided among 100 boys and girls in such a way that the boy gets Rs.3.60 and each girl Rs. 2.40 the number of girls is
Choices:
40
45
50
55
Answer: A
Question: A and B together can do a piece of work in 6 days and A alone can do it in 13 days. In how many days can B alone can do it?
Choices:
15 days
78/7 days
21 days
22/7 days
Answer: B
Question: From a Group of 8 People, Including Gary and Nina, 3 people are to be selected at random to work on a certain project. What is the probability that 3 people selected will include Gary but not Nina
Choices:
9/56
15/56
21/56
25/56
Answer: B
Question: A family consisting of one mother, one father, two daughters and a son is taking a road trip in a sedan. The sedan has two front seats and three back seats. If one of the parents must drive and the two daughters refuse to sit next to each other, how many possible seating arrangements are there?
Choices:
32
48
60
120
Answer: A
Question: How many bricks each measuring 20cm x 10cm x 8cm, will be needed to build a wall 10m x 8m x 24.5m
Choices:
12250
12500
14340
None of these
Answer: A
Question: In Richard's office one half of the workers are Indians,quarter are from America,one-fifth are from Canada and the other 100 are China. How many workers total are there in the company?
Choices:
500
750
1000
2000
Answer: D
Question: Rahim bought 32 books for Rs.1500 from one shop and 60 books for Rs.340 from another. What is the average price he paid per book ?
Choices:
s.18
s.12
s.11
s.20
Answer: D
Question: Each day a man meets his wife at the train station after work, and then she drives him home. She always arrives exactly on time to pick him up. One day he catches an earlier train and arrives at the station an hour early. He immediately begins walking home along the same route the wife drives. Eventually his wife sees him on her way to the station and drives him the rest of the way home. When they arrive home the man notices that they arrived 30 minutes earlier than usual. How much time did the man spend walking?
Choices:
45 minutes
40 minutes
55 minutes
35 minutes
Answer: A
Question: How much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction?
Choices:
sec
sec
sec
sec
Answer: A
Question: How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?
Choices:
6000
6400
7200
8600
Answer: B
Question: A can do a work in 14 days. B is 40% more efficient than A. How many days does B alone take to do the same job?
Choices:
10
11
12
8
Answer: A
Question: Each light bulb at a hotel is either incandescent or fluorescent. At a certain moment, forty percent of the incandescent bulbs are switched on, and eighty percent of the fluorescent bulbs are switched on. If 72 percent of all the bulbs are switched on at this moment, what percent of the bulbs that are switched on are incandescent?
Choices:
16%
11%
7%
5%
Answer: B
Question: A crate of mangoes contains one bruised mango for every thirty mango in the crate. If three out of every four bruised mango are considerably unsaleable and there are 12 unsaleable mangoes in the crate then how many mango are there in the crate?
Choices:
430
530
172
480
Answer: D
Question: If -1 < x < 1, which of the following must be true?
I. x^3 < x^2
II. x^5 < 1 – x
III. x^4 < x^2
Choices:
I and II only
II and III only
I and III only
I, II and III
Answer: C
Question: If # is an operation which results in adding the digits of integer until a single digit is left, what is the probability that a number picked up in first 90 positive integers will have the result of # as an odd digit ?
( example 99 = 9+9 = 18=1+8=9, so #=9)
Choices:
4/9
1/2
6/10
5/9
Answer: D
Question: Lucy deposited $67600 in an investment fund that provided 16 percent annual return compounded quarterly. If she made no other transactions with the fund, in how much time, in months, did her investment earn a total interest of $5300?
Choices:
92
93
90
96.1
Answer: C
Question: For any positive x, y and z if x is n% of y and z is m% of y then what percentage Q must x be of z?
Choices:
(m × n)%
(100 / [m × n]) %
(100 × m/n)%
(100 × n/m)%
Answer: D
Question: Simplify: 0.6*0.6+0.6*0.6
Choices:
0.42
0.48
0.64
0.46
Answer: D
Question: The number 95 can be written as the sum of the squares of 4 different positive integers in two ways. Of the following, which can be the sum of these 4 integers?
Choices:
10
15
18
20
Answer: B
Question: This is an ancient problem dating back to about 310 A.D.
Demochares had lived one-fourth of his life as a boy, one-fifth as a young, one-third as a man. and has spent thirteen years in his dotage. How old is Demochares?
Choices:
53
75
60
50
Answer: C
Question: A book is bought for Rs.600/- and sold at a profit of 10% find its selling price?
Choices:
s.660/-
s.680/-
s.720/-
s.620/-
Answer: A
Question: Rekha took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 588 as interest at the end of the loan period, what was the rate of interest?
Choices:
6
4
3
7
Answer: D
Question: A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
Choices:
2.9 hrs
1.9 hrs
7.2 hrs
1.4 hrs
Answer: C
Question: If P(32, 6) = kC (32, 6), then what is the value of k?
Choices:
32
120
720
None
Answer: C
Question: In what time will a train 200 meters long cross an electric pole, if its speed is 128 km/hr
Choices:
5.7 seconds
3 seconds
2.5 seconds
None of these
Answer: A
Question: Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 27 seconds. Find the length of the faster train?
Choices:
270
269
200
271
Answer: A
Question: The area of a parallelogram is 243sq m and its altitude is three times the corresponding base. What is the length of the base?
Choices:
9
10
4
12
Answer: A
Question: There are 8 disks in a container that are numbered 23, 24, 25, 26, 28, 29, 30 and 31. 4 disks are randomly removed from the container, one after the other, without replacement. Then a list of 5 numbers containing the 4 numbers on the disks selected, together with the number 27 will be made. What is the probability that 27 is the median of the list of 5 numbers?
Choices:
17/35
1/2
18/35
5/9
Answer: C
Question: Which of the following is closest to 1/6+1/66+1/666
Choices:
1/7
1/5.67
1/9
1/8
Answer: B
Question: Bill made a profit of 10% by selling a product. If he had purchased that product for 10% less and sold it at a profit of 30%, he would have received $ 35 more. What was his original selling price?
Choices:
$550
$700
$1100
$840
Answer: A
Question: Craig sells major appliances. For each appliance he sells, Craig receives a commission of $50 plus 10 percent of the selling price. During one particular week Craig sold 6 appliances for selling prices totaling $3,620. What was the total of Craig's commissions for that week?
Choices:
$526
$585
$605
$662
Answer: D
Question: If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 340, the cost of the article is?
Choices:
688
200
121
123
Answer: B
Question: The side of a square is increased by 15% then how much % does its area increases?
Choices:
35.85 %
37.55 %
35.65 %
32.25 %
Answer: D
Question: Mangala completes a piece of work in 10 days, Raju completes the same work in 20 days. If both of them work together, then the number of days required to complete the work is?
Choices:
10 days
20/3 days
14 days
16 days
Answer: B
Question: Three cannons are firing at a target. If their individual probabilities to hit the target are 0.4, 0.2, and 0.3 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:
0.336
0.21
0.29
0.94
Answer: A
Question: The average weight of three boys P, Q and R is 54 kg, while the average weight of three boys Q, S and T is 60 kg. What is the average weight of P, Q, R, S and T?
Choices:
279
279
342
211
Answer: C
Question: The length of a rectangular plot is 20 mtr more than its breadth. If the cost of fencingthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?
Choices:
60 m
65 m
75 m
80 m
Answer: A
Question: Tough and Tricky questions: Exponents.
If a and b are positive integers and x = 5^a and y = 7^b, which of the following is a possible units digit of xy?
Choices:
4
5
7
8
Answer: B
Question: Using all the letters of the word "FRIDAY", how many different words can be formed?
Choices:
B)8!
C)8
D)7!
E)5!
Answer: D
Question: When 52416 is divided by 312, the quotient is 168. what will be the quotient when 522.416 is divided by 0.0168?
Choices:
6
4
3
7
Answer: D
Question: The average monthly salary of laborers and supervisors in a factory is Rs.1250 per month; where as the average monthly salary of 6 supervisors is Rs.2450. If the average monthly salary of the laborers is Rs.850 find the number of laborers?
Choices:
15
16
17
18
Answer: D
Question: There is a road beside a river.Two friends started from a place A, moved to a temple situated at another place B and then returned to A again. One of them moves on a cycle at a speed of 12 km/hr, while the other sails on a boat at a speed of 10 km/hr. If the river flows at the speed of 4 km/hr, which of the two friends will return to place A first ?
Choices:
7.2 km /hr
8.4 km/hr
9.6 km /hr
4.6 km /hr
Answer: B
Question: A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
Choices:
278 m
279 m
270 m
872 m
Answer: C
Question: Find the odd man out. 1050, 510, 242, 106, 46, 16, 3
Choices:
106
510
1050
16
Answer: A
Question: If the area of circle is 616 sq cm then its circumference?
Choices:
88
99
266
12
Answer: A
Question: ((1^(m+1))/(5^(m+1)))((1^18)/(4^18)) = 1/(2(10)^35)
What is m?
Choices:
18
34
35
36
Answer: B
Question: Average age of boys in a class is 16 years and average age of girls is 15 years, what is the average age
of all
Choices:
15
16
Cant be computed
None of these
Answer: C
Question: Find the simple interest on Rs.567 for 7 months at 9 paisa per month?
Choices:
s.357.21
s.400
s.278.9
s.300
Answer: A
Question: Look at this series: 97, 97, 93, 93, 89, 89, 85, 85, ... What number should come next?
Choices:
76
78
81
80
Answer: C
Question: Joe needs to paint all the airplane hangars at the airport, so he buys 360 gallons of paint to do the job. During the first week, he uses 1/4 of all the paint. During the second week, he uses 1/3 of the remaining paint. How many gallons of paint has Joe used?
Choices:
180
175
216
250
Answer: A
Question: Find the number that fits somewhere into the middle of the series. Some of the items involve both numbers and letters
Look at this series: C99, F102, __, L108, O111, ... What number should fill the blank?
Choices:
I105
K107
L109
M110
Answer: A
Question: Which of the following numbers is between 1⁄3 and 2⁄5?
Choices:
.35
.29
.22
.20
Answer: A
Question: The average of 10 numbers is calculated as 18. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?
Choices:
B)18
C)19
D)22
E)24
Answer: B
Question: A coin is weighted so that the probability of heads on any flip is 0.2, while the probability of tails is 0.8. If the coin is flipped 5 times independently, which of the following represents the probability that tails will appear no more than twice?
Choices:
(0.2)^5 + 5(0.2)^4(0.8) + 10(0.2)^3(0.8)^2
(0.3)^5 + 3(0.3)^4(0.8) + 2(0.3)^3(0.8)^2
(0.3)^5 + 2(0.3)^4(0.8) + (0.3)^3(0.8)^2
(0.6)^5 + (0.6)^4(0.4) + (0.6)^3(0.4)^2
Answer: A
Question: If circles x and y have the same area and circle x has a circumference of 14π, half of the radius of circle y is:
Choices:
8
4
3.5
1
Answer: C
Question: If n is an integer number, and m=115n, then m must be divisible by which of the following?
Choices:
15
23
25
230
Answer: B
Question: Ram draws a card randomly among card 1-23 and keep it back. Then Sam draws a card among those. What is the probability that Sam has drawn a card greater than ram.
Choices:
11/24
11/23
11/21
11/22
Answer: B
Question: 3.5 can be expressed in terms of percentage as?
Choices:
3.5%
35%
350%
NONE
Answer: C
Question: 4 dice are thrown simultaneously on the board. Find the probability show the same face.
Choices:
1/213
1/216
2/211
3/213
Answer: B
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
Choices:
277
245
299
271
Answer: B
Question: Tom can hit a target 3 times in 6 shots, Marry can hit the target 2 times in 6 shots & mike can hit 4 times in 4 shots. What is the probability that atleast 2shots hit the target ?
Choices:
4/5
2/3
5/7
6/8
Answer: B
Question: A took 15 seconds to cross a rectangular field diagonally walking at the rate of 52 m/min and B took the same time to cross the same field along its sides walking at the rate of 68m/min. The area of the field is?
Choices:
60
88
27
26
Answer: A
Question: 3,14,39,_?
Choices:
82
83
84
85
Answer: C
Question: The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 81. What is the difference between the two digits of that number?
Choices:
5
6
8
9
Answer: D
Question: In a certain lottery, the probability that a number between 12 and 20, inclusive, is drawn is 1/6 . If the probability that a number 12 or larger is drawn is 1/2 , what is the probability that a number less than or equal to 20 is drawn?
Choices:
1/6
2/3
1/2
5/6
Answer: B
Question: In how many ways can the word DAILY arranged?
Choices:
100
620
120
150
Answer: C
Question: The value of x + x(xx) when x = 2 is:
(a) 10, (b) 16, (c) 18, (d) 36, (e) 64
Choices:
10
8
6
4
Answer: A
Question: A cylinder of height h is 6/7 of water. When all of the water is poured into an empty cylinder whose radius is 25 percent larger than that of the original cylinder, the new cylinder is 3/5 full. The height of the new cylinder is what percent of h?
Choices:
50%
60%
70%
100%
Answer: C
Question: There is a 55 cm line marked at each centimeter and an insect is placed at every centimeter. 9 frogs are trained to jump a constant distance. The first one jumps 2 cm in every leap, the second one jumps 3 cm and so on until the 9th one jumps 10 cm in every leap and they eat any insect that is available at that spot. If all of them start from start line and finish the entire 55 cm, how many insects were still left after the race was over?
Choices:
3
6
9
12
Answer: D
Question: A certain sum of money at simple interest amounted Rs.1240 in 6 years at 4% per annum, find the sum?
Choices:
1000
890
646
789
Answer: A
Question: If -0.5 < x < 0, which of the following must be true?
I. x^7 < x^2
II. x^3 < 1 – x^3
III. x^4 < x^2
Choices:
I and II only
II and III only
I and III only
I, II and III
Answer: D
Question: An aeroplane covers a certain distance at a speed of 1500 kmph in 2 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of:
Choices:
1800 kmph
1900 kmph
2100 kmph
none
Answer: A
Question: The total weight of six people of equal weights inside a car is 12% of the total weight of the car (inclusive of the six people inside). If three people get down from the car, what will be the ratio of the weight of people inside the car to the weight of the empty car?
Choices:
44
46
47
48
Answer: A
Question: If the cost price of 12 pens is equal to the selling price of 7 pens, the gain percent is:
Choices:
90%
71%
40%
10%
Answer: B
Question: John would make the 3-letter codes with 26 alphabets in condition that the middle letter must be vowel and the first letter and the third letter must be different from each other and both are consonant. How many cases of the codes are there?
Choices:
2,020
2,100
2,200
2,500
Answer: B
Question: The sum of the two numbers is 15 and their product is 35. What is the sum of the reciprocals of these numbers?
Choices:
15/35
35/8
7/32
None of these
Answer: A
Question: Of the 645 speckled trout in a certain fishery that contains only speckled and rainbow trout, the number of males is 45 more than twice the number of females. If the ratio of female speckled trout to male rainbow trout is 4:3 and the ratio of male rainbow trout to all trout is 3:20, how many female rainbow trout are there?
Choices:
195
200
205
208
Answer: C
Question: There are 16 bees in the hive , then 7 more fly. How many bees are there in all?
Choices:
23
12
17
25
Answer: A
Question: Rs.2500 is divided into two parts such that if one part be put out at 5% simple interest and the other at 6%, the yearly annual income may be Rs.140. How much was lent at 5%?
Choices:
Rs.1300
Rs.1200
Rs.1000
Rs.1700
Answer: C
Question: If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is?
Choices:
1/2
4/2
1/9
7/2
Answer: A
Question: Two taps A and B can fill a cistern in 12 minutes and 18 minutes respectively. They are turned on at the same time. If the tap A is turned off after 4 minutes, how long will tap B take to fill the rest of the cistern ?
Choices:
8 minute
10 min.
7 min.
None of these
Answer: A
Question: IF x is an integer greater than 6, then all the following must be divisible by 3 EXCEPT
Choices:
b)x (x+3)
c)9 x^2
d)3 x^7
e)x(x+1)(x+2)
Answer: A
Question: Jordan passed a point on a track at a constant speed of 50 miles per hour. Then, 15 minutes later, Pauline passed the same point at a constant speed of 60 miles per hour. If both runners maintained their speeds , how long after he passed the gas station did Pauline catch up with Jordan?
Choices:
45 min
1 hr
1 hr 15 min
1 hr 30 min
Answer: C
Question: If two girls starting from same point, walking in the opposite directions with 7km/hr and 3km/hr as average speeds respectively. Then the distance between them after 12 hours is?
Choices:
120
122
123
124
Answer: A
Question: Perimeter of the backwheel is 9 feet and front wheel is 7 feet at a certain distance. The front wheel gets 10 revolutions more than the back wheel. What is the distance?
Choices:
310
315
320
325
Answer: B
Question: You have 59 cubic blocks. What is the minimum number that needs to be taken away in order to construct a solid cube with none left over?
Choices:
29
30
31
32
Answer: D