antoine-444/aqua_rat_dataset huggingface dataset:
Question: I have a few sweets to be distributed. If I keep 2, 3 or 4 in a pack, I am left with one sweet. If I keep 5 in a pack, I am left with none. What is the minimum number of sweets I can have to pack and distribute?
Choices:
25
54
65
50
Answer: A
Question: In 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:
Choices:
20m
22.5m
9m
None of these
Answer: A
Question: A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Choices:
6
8
2
4
Answer: A
Question: Two trains leave the train station at the same time. One train, on the blue line, heads east- while the other, on the red line, heads west. If the train on the blue line averages 40km/hr and the other train averages 40 km/hr- how long will it take for the trains to be 100 Km apart?
Choices:
2.25 hours
1 hour
1.25 hours
Not enough information
Answer: C
Question: Elvin's monthly telephone bill is the sum of the charge for the calls he made during the month and a fixed monthly charge for Internet service. Elvin's total telephone bill for January was $46 and Elvin's total telephone bill for February was 76$. If Elvin's charge for the calls he made in February was twice the charge for the calls he made in January, what is Elvin's fixed monthly charge for Internet service?
Choices:
$10
$14
$16
$28
Answer: C
Question: A and B walk around a circular track. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. If they start at 8 a.m. from the same point in opposite directions, how many times shall they cross each other before 8.30 a.m.?
Choices:
6
7
8
2
Answer: D
Question: The ratio of the ages of three people is 4:6:7. Eight years ago, the sum of their ages was 78. Find their present ages.
Choices:
16,24,28
20,30,35
24,36,42
28,42,49
Answer: C
Question: When a number is first increased by 20% and then reduced by 20%, The number is:
Choices:
Decreases by 4%
Increases by 4%
None of these
Cannot be determined
Answer: A
Question: The L.C.M. of 2 numbers is 48. The numbers are in the ratio 2:3. Find their sum?
Choices:
40
48
32
56
Answer: A
Question: If T is an integer greater than 6, which of the following must be divisible by 3?
Choices:
T(T+1)T-4)
N(N+3)(N-5)
N(N+4)(N-2)
N(N+5)(N-6)
Answer: A
Question: The length of a room is 5.5 m and width is 3.75 m. What is the cost of paying the floor by slabs at the rate of $400 per sq. metre.
Choices:
$8250
$8650
$8450
$8500
Answer: A
Question: A and B invests Rs.2000 and Rs.4000 in a business. After 8 months, A withdraws half of his capital and B withdraws three-fourth of his capital. In what ratio should they share the profits at the end of the year?
Choices:
5:9
7:9
4:9
3:7
Answer: A
Question: A certain business school has 500 students, and the law school at the same university has 800 students. Among these students, there are 30 sibling pairs consisting of 1 business student and 1 law student. If 1 student is selected at random from both schools, what is the probability that a sibling pair is selected?
Choices:
3/40000
3/4000
9/400
6/130
Answer: A
Question: A and B participate in a 5000 m bicycle race which is being run on a circular track of 500 m. If the speed of A and B are 20 m/s and 10 m/s respectively, what is the distance covered by A when he passes B for
the seventh time ?
Choices:
2800
4000 m
Situation is not possible
None of these
Answer: C
Question: The function f(K) represents the number of ways that prime numbers can be uniquely summed to form a certain number K such that K = a + b + c + d… where those summed variables are each prime and a ≤ b ≤ c ≤ d ... For instance f(8) = 3 and the unique ways are 2 + 2 + 2 + 2 and 2 + 3 + 3 and 3 + 5. What is f(12)?
Choices:
5
6
7
8
Answer: C
Question: Average age of students of an adult school is 44 years. 120 new students whose average age is 32 years joined the school. As a result the average age is decreased by 4 years. Find the number of students of the school after joining of the new students.
Choices:
180
360
240
None of these
Answer: A
Question: A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 7000?
Choices:
s. 5991
s. 6001
s. 6991
s. 7991
Answer: D
Question: If X is invested in a bank at a rate of simple interest of y% p.a. for two years, then the interest earned is 600. if X is invested at y% p.a., for two years when the interest is compounded annually, the interest is 615. What is the value of X?
Choices:
6000
5000
4000
3000
Answer: A
Question: If |z|/w = 6,which of the following must be true?
Choices:
z = 6w
z^2 = 36w^2
z^2 = 36w^3
z^3 = 216w^3
Answer: B
Question: Find the third proportional to 10 and 30?
Choices:
60
80
90
20
Answer: C
Question: A woman has $99999 in her savings account. What is the least amount of money (in whole number of dollars) that she must add to her account if she wants to split this money evenly among her nine children?
Choices:
1
0
3
4
Answer: C
Question: Four of the following five parts numbered (a), (b), (c), (d) and (e) are exactly equal. The number of the part which is not equal to the other four parts is your answer.
Choices:
98 ÷ 2.5 + 15.2 × 4
√225 – 5 × 2(2)
76 × 1.5 – 5.5 × 2.6
48 × 1.2 + 127.2 ÷ 3
Answer: C
Question: Baby Isabel plays with blocks. Each block is 5.6 inches tall. She has a collection of 38 blocks. If she could stack all of the blocks up one on top of the other, how many inches tall would her tower of blocks be?
Choices:
212.8"
206.2"
120"
151.7"
Answer: A
Question: The sum of the ages of 5 children born at the intervals of years each is 50 years. What is the age of the youngest child?
Choices:
6 years
10 years
12 years
14 years
Answer: A
Question: A sum of money placed at compound interest doubles itself in 4 years. In how many years will it amount to 8 times?
Choices:
8 years
6 years
12 years
13 years
Answer: C
Question: The scoring system in a certain football competition goes as follows: 3 points for victory, 1 point for a draw, and 0 points for defeat. Each team plays 20 matches. If a team scored 5 points after 5 games, what is the least number of the remaining matches it has to win to reach the 40-point mark by the end of the tournament?
Choices:
7
8
9
10
Answer: D
Question: Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choices:
24
48
60
50
Answer: B
Question: A cistern which could be filled in 8 hours takes one hour more to be filled owing to a leak in its bottom. If the cistern is full in what time will the leak empty it?
Choices:
99 hrs
55 hrs
90 hrs
40 hrs
Answer: D
Question: Which of the following represents the profit from the investment of x dollars at n percent compound annual interest for 5 years?
Choices:
x (1+n/100)^5 - x
6x (1+n/100)^6 - x
2x (1+n/100)^2 - x
x (1+n/100)^7 - x
Answer: A
Question: If 15 workers can build a wall in 48 hours, how many workers will be required to do the same work in 30 hours?
Choices:
24
26
25
23
Answer: A
Question: Of the 120 passengers on Flight 750, 55% are female. 10% of the passengers sit in first class, and the rest of the passengers sit in coach class. If 1/3 of the passengers in first class are male, how many females are there in coach class?
Choices:
48
50
52
58
Answer: D
Question: In how many different number of ways 4 boys and 3 girls can sit on a bench such that girls always sit together.
Choices:
720
760
770
790
Answer: A
Question: How many factors of 30 are odd numbers greater than 1?
Choices:
3
5
6
7
Answer: A
Question: 3 + 33 + 333 + 3.33 = ?
Choices:
372.33
436
633
662
Answer: A
Question: 17 times a number gives 187. The number is
Choices:
11
13.2
None
Cannot be determined
Answer: A
Question: Find the odd man out. 2, 4, 6, 12, 19, 28
Choices:
19
1
3
19
Answer: A
Question: Large amounts of cheques are processed by using
Choices:
kilobyt2
kilobyte
kilobytK
kilobytW
Answer: B
Question: If 2 persons can do 2 times of a particular work in 2 days, then, 5 persons can do 5 times of that work in?
Choices:
2 days
5 days
7 days
9 days
Answer: A
Question: In Sam's hanger there are 23 boxes, 16 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 5 of them are filled with toys. How many boxes with electrical appliances are in Sam's hanger that is not for sale?
Choices:
2
3
4
5
Answer: C
Question: How many different arrangements of letters are possible if three letters are chosen from the letters A through G and the letters E and A must be among the letters selected?
Choices:
30
32
34
36
Answer: A
Question: If (a-6)(b-2) =0, which of the following must be true ?
I. a=6 and b=2
II. if a is not 6, then b=2
III. if a=6, then b is not=2
Choices:
II only
III only
I and II
II and III
Answer: A
Question: A rectangular-shaped carpet that measures x feet by y feet is priced at $20. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)
Choices:
180/(xy)
20xy
20xy/9
xy/180
Answer: A
Question: A pack of baseball cards consists of 12 outfielder cards and 8 infielder cards. What is the lowest number of outfielder cards that would have to be removed from the pack so that no more than 50 percent of the pack would be outfielder cards?
Choices:
5
6
7
8
Answer: A
Question: The perimeters of two squares are 44 cm and 36 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares?
Choices:
24 cm
25.2 cm
55 cm
34 cm
Answer: B
Question: A 40 kg metal bar made of alloy of tin and silver lost 4 kg of its weight in the water. 10 kg of tin loses 1.375 kg in the water; 5 kg of silver loses 0.375 kg. What is the ratio of tin to silver in the bar?
Choices:
2/5
1/2
3/5
2/3
Answer: D
Question: How many times in a day, the hands of a clock are straight?
Choices:
44
48
24
36
Answer: A
Question: A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Choices:
77
54
87
21
Answer: B
Question: The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides.
Choices:
0 sq m
2 sq m
6 sq m
9 sq m
Answer: A
Question: A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?
Choices:
3 : 5 : 5
6 : 10 : 5
3 : 4 : 5
4 : 6 : 8
Answer: B
Question: A number is divided by 221, the remainder is 64. If the number be divided by 13 then remainder will be
Choices:
2
3
4
5
Answer: A
Question: By investing Rs. 1620 in 8% stock,Michael earns Rs. 135.The stock is then quoted at :
Choices:
Rs. 96
Rs. 106
Rs. 108
None of these
Answer: A
Question: The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
Choices:
4%
2%
1%
8%
Answer: A
Question: An old man distributed all the gold coins he had to his two sons into two different numbers such that the difference between the squares of the two numbers is 49 times the difference between the two numbers. How many coins did the old man have?
Choices:
26
30
49
40
Answer: C
Question: What percent of 150 is 40?
Choices:
26.67%
25%
40%
250%
Answer: A
Question: On January 1, 2001 it was Monday. Which day of the week fall on January 1, 2005?
Choices:
Saturday
Monday
Tuesday
Friday
Answer: A
Question: Raju purchases 550 ml. of milk every day. If the cost of one litter of milk is Rs.44. How much amount will he pay in 45 days?
Choices:
Rs.1079
Rs.1089/-
Rs.1099
None of these
Answer: B
Question: If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is?
Choices:
157.59
157.5
157.51
157.56
Answer: B
Question: If P and Q are positive integers, P - 3 is divisible by 4 and Q - 1 is divisible by 4, all of the following could be the value of P - Q Except?
Choices:
1
6
18
14
Answer: A
Question: An article is bought for Rs.600 and sold for Rs.500, find the loss percent?
Choices:
16 7/3%
19 2/3%
16 2/3%
16 4/3%
Answer: C
Question: The value of (1-d3) / (1-d) is
Choices:
>3 if d > 1
> 2 if 0 < d < 0.5
< 2 if d < -2
None
Answer: A
Question: How many multiples of 4 are there between 32 and 252 ?
Choices:
64
54
56
60
Answer: B
Question: The volumes of two cubes are in the ratio 27: 125, what shall be the ratio of their surface areas?
Choices:
9:24
9:25
9:20
9:21
Answer: B
Question: 40 onions on a scale weigh 7.68 kg. When 5 onions are removed from the scale, the average weight of the 35 onions is 190 grams. What is the average weight (in grams) of the 5 onions which were removed?
Choices:
202
204
206
208
Answer: C
Question: The “length of integer x” refers to the number of prime factors, not necessarily distinct, that x has. (If x = 60, the length of x would be 4 because 60 = 2 × 2 × 3 × 5.) What is the greatest possible length of integer z if z < 3000?
Choices:
9
11
13
15
Answer: B
Question: The captain of a cricket team of 11 members is 24 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
Choices:
21 years
22 years
23 years
24 years
Answer: A
Question: The perimeter of a triangle is 60 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle
Choices:
B)828
C)729
D)75
E)35
Answer: C
Question: 4 dice are thrown simultaneously on the board. Find the probability show the same face.
Choices:
2/131
1/216
2/217
2/319
Answer: B
Question: What is the units digit of 17^83 × 13^82 × 11^87?
Choices:
5
6
7
8
Answer: C
Question: A box contain the number of balls which is as much times greater than 15 as much times lesser than 240.The no. of ball is?
Choices:
75
60
54
45
Answer: B
Question: Compound interest earned on a sum for the second and the third years are Rs.2000 and Rs.2500 respectively. Find the rate of interest?
Choices:
22% p.a.
25% p.a.
24% p.a.
None of these.
Answer: B
Question: 9548+7314=8362=?
Choices:
8410
8500
8600
None of them
Answer: B
Question: 900 men have provisions for 15 days. If 200 more men join them, for how many days will the provisions last now?
Choices:
12.6
12.55
12.21
12.27
Answer: D
Question: Two same glasses are respectively 1/4th 1/5th full of milk. They are then filled with water and the contents mixed in a tumbler. The ratio of milk and water in the tumbler is?
Choices:
9:31
9:39
9:34
9:32
Answer: A
Question: In the recent, climate conference in New York, out of 700 men, 500 women, 800 children present inside the building premises, 20% of the men, 40% of the women and 10% of the children were Indians. Find the percentage of people who were not Indian?
Choices:
73%
79%
83%
None
Answer: B
Question: Given that x = 2^b – (8^33 + 16^5), which of the following values for b yields the lowest value for |x|?
Choices:
98
99
100
119
Answer: B
Question: The y intercept of a line L is 10. If the slope of L is negative, which of the following could be the x intercept of L.
I. -1
II. 0
III. 6
Choices:
II only
III only
I and II
I and III
Answer: B
Question: Mr. Jones sold two pipes at $1.20 each. based on the cost , his profit one was 20% and his loss on the other was 20%. on the sale of the pipes, he:
Choices:
broke even
gained 4 cents
lost 10 cents
gained 10 cnets
Answer: A
Question: A shipping company has four empty trucks that will head out in the morning, all four to the same destination. The clerk has four different boxes to ship to that same destination. All four boxes could go on any one of the trucks, or the boxes could be split up into any groupings and given to the trucks in any combinations (ie. two to one truck, one to another, and one to another). In how many different ways could the boxes be put on the four trucks?
Choices:
64
256
576
4096
Answer: B
Question: By selling an article at Rs.250, a profit of 25% is made. Find its cost price?
Choices:
s.455
s.220
s.480
s.200
Answer: D
Question: The side of a rhombus is 22 m and length of one of its diagonals is 16 m. The area of the rhombus is?
Choices:
327.9
347.7
357.9
327.9
Answer: A
Question: Bullock likes to keep a spare tyre in his car every time. On a certain day, he travels 1, 40,000 km and just to make the most of all the tyres, he changes the tyres between his journey such that each tyre runs the same distance.
What is the distance traveled by each tyre?
Choices:
112,000
80,000
90,000
10,000
Answer: A
Question: A and B can together finish a work in 30days. They worked together for 20days and then B left. After another 20days, A finished the remaining work. In how many days A alone can finish the job?
Choices:
30
60
50
80
Answer: B
Question: A software engineer has the capability of thinking 100 lines of code in five minutes and can type 100 lines of code in 10 minutes. He takes a break for five minutes after every ten minutes. How many lines of codes will he complete typing after an hour?
Choices:
200 lines
350 lines
250 lines
150 lines
Answer: C
Question: Set X consists of 10 integers and has median of 30 and a range of 20. What is the value of the greatest possible integer that can be present in the set?
Choices:
37
C.40
43
50
Answer: D
Question: A dishonest dealer professes to sell goods at the cost price but uses a false weight and gains 25%. Find his false weight age?
Choices:
276
800
288
277
Answer: B
Question: A jogger running at 9 km/hr along side a railway track is 260 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Choices:
89 sec
38 sec
87 sec
45 sec
Answer: B
Question: Joel sailed for 3 hours at a speed of 20 miles per hour, then for 6 hours at 30 miles per hour and finally, 1 more hour at 40 miles per hour. What was the average speed of Joel during the whole sail?
.
Choices:
27.5
28
30
32
Answer: B
Question: A student must answer 7 out of 10 questions on an competitive examination. If at least 3 of the first 5 questions must be answered, how many possible combinations of 7 questions are available to the student?
Choices:
80
70
100
110
Answer: D
Question: A certain company has records stored with a record storage firm in 15-inch by 12-inch by 10-inch boxes. The boxes occupy 1.08 million cubic inches of space. If the company pays $0.4 per box per month for the record storage, what is the total amount that the company pays each month for record storage?
Choices:
b. 300
c. 600
d. 240
e. 200
Answer: C
Question: In an encryption code 'HOUSE' is written as '1S902' when encoded and 'DASH' is written as '4G01' when encoded. How is ''SHED" written in that encryption code?
Choices:
0SG1
0124
G910
102G
Answer: B
Question: Two trains of equal length, running with the speeds of 60 and 40 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions?
Choices:
17 sec
14 sec
10 sec
11 sec
Answer: C
Question: Kathleen can paint a room in 2 hours, and Anthony can paint an identical room in 5 hours. How many hours would it take Kathleen and Anthony to paint both rooms if they work together at their respective rates?
Choices:
20/7
15/8
9/4
15/4
Answer: A
Question: If a is a positive integer, and if the units digit of a^2 is 9 and the units digit of (a+1)^2 is 6, what is the units digit of (a+2)^2?
Choices:
3
5
6
8
Answer: B
Question: A wheel rotates 10 times every minute and moves 20 cm during each rotation. How many metres does
the wheel move in one hour?
Choices:
12 metre
120 metre
1200 metre
2200 metre
Answer: B
Question: Tea worth Rs.126 per kg are mixed with a third variety in the ratio 1: 1 : 2. If the mixture is worth Rs.153 per kg, the price of the third variety per kg will be
Choices:
Rs.1700
Rs. 175.50
Rs. 180
None
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:
167 m
245 metrs
167 m
178 m
Answer: B
Question: A scientist used a unique two-color code to identify each of the test subjects involved in a certain study. If the scientist found that choosing from among five colors produced enough color codes to identify all but 6 of the test subjects, how many test subjects were in the study? (Assume that the order of the colors in the codes does not matter.)
Choices:
15
16
17
18
Answer: B
Question: n a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is?
Choices:
3 hrs
1 hr
4 hrs
5 hrs
Answer: B
Question: Shepherd Gopal had a curious aptitude for mathematics and he was known around where he lived as the 'Counting Shepherd.
A man passing throughthe meadow one dat saw Gopal grazing a number of sheep and in the course of a short conversation asked him how many of the grazing sheep were his own. Gopal's reply absolutely baffled him, which was as follows:
If you divide my sheep into two different parts, the difference between yhe two numbers will be the same as the difference between their squares. Now figure it out for yourself the number of sheep I own.'
Can you say just how many sheep Gopal had?
Choices:
1
3
4
5
Answer: A
Question: A train 120 meters long completely crosses a 480 meters long bridge in 55 seconds. What is the speed of the train is?
Choices:
545
39
40
09
Answer: B
Question: On the first of the year, James invested x dollars at Proudstar bank in an account that yields 2% in interest every quarter year. At the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. If James had invested the same amount in an account which pays interest on a yearly basis, what must the interest rate be for James to have y dollars at the end of the year?
Choices:
6.12%
8%
8.25%
10%
Answer: C
Question: What is the ratio between perimeters of two squares one having 2 times the diagonal then the other?
Choices:
3: 6
3: 7
2: 1
3: 3
Answer: C
Question: A train passes through a telegraph post in 9 seconds moving with a speed of 54 km per hour. The length of the train is
Choices:
135 metres
125 metres
155 metres
None of these
Answer: A
Question: The total cost of 100 paper plates and 200 paper cups is $4.00 At the same rates what is the total cost of 20 of the plates and 40 of the cups?
Choices:
$.80
$1.20
$1.50
$1.60
Answer: A
Question: A shopkeeper sells 20% of his stock at 10% profit ans sells the remaining at a loss of 5%. He incurred an overall loss of Rs. 400. Find the total worth of the stock?
Choices:
20000
20007
200018
20012
Answer: A
Question: A bullet train passes a station platform in 36 seconds and a man standing on the platform in 23 seconds. If the speed of the bullet train is 54 km/hr, what is the length of the platform?
Choices:
220 m
195 m
224 m
239 m
Answer: B
Question: If a, b, and c are consecutive integers such that a < b < c and a is an even prime number, which of the following is true?
I. a × b × c < a^3
II. a + b + c > a^3
III. 5b < bc
Choices:
II only
III only
II and III
I, II, and III
Answer: A
Question: If X is to be chosen at random from the integers between 1 to 5, inclusive, and Y is to be chosen at random from the integers between 7 and 10, inclusive, what is the probability that X + Y will be even?
Choices:
1/2
3/4
4/5
5/6
Answer: A
Question: In a cricket match, five batsmen A, B, C, D and E scored an average of 36 runs. D Scored 5 more than E; E scored 8 fewer than A; B scored as many as D and E combined; and B and C scored 107 between them. How many runs did E score ?
Choices:
45
28
20
24
Answer: C
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
Choices:
5.28
5.76
5.16
5.19
Answer: B
Question: Nicole cycles at a constant rate of 24 kilometers per hour, and is passed by Jessica, who cycles at a constant rate of 30 kilometers per hour. If Jessica cycles at her constant rate for x minutes after passing Nicole, then stops to wait for her, how many minutes will Jessica have to wait for Nicole to catch up to her?
Choices:
x/4
x/2
x
4x/3
Answer: A
Question: X can do a piece of work in 40days. He works at it for 8days and then Y finished it in 28 days. How long will Y take to complete the work?
Choices:
12
15
18
35
Answer: D
Question: The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
237
245
376
368
Answer: B
Question: Each factor of 220 is inscribed on its own plastic ball, and all of the balls are placed in a jar. If a ball is randomly selected from the jar, what is the probability that the ball is inscribed with a multiple of 55?
Choices:
5/42
1/8
3/16
1/4
Answer: D
Question: Equal weights of two alloys containing tin, copper and lead in the ratio 3:2:5 and 4:5:3 are melted and mixed together. What is the ratio of tin, copper and lead in the resultant alloy?
Choices:
33:91:81
17:28:27
38:37:45
41:86:89
Answer: C
Question: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is?
Choices:
16 sec
48 sec
17 sec
54 sec
Answer: B
Question: What is the leastvalue of x.So that 23X57 is divisible by 3?
Choices:
1
5
6
8
Answer: A
Question: What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
Choices:
19
20
21
18
Answer: B
Question: if the annual rate of simple interest increases from 10% to 12.5% .Then a man’s yearly income from an investment increases by Rs.1250. His principle amount is:
Choices:
Rs.50,000
Rs. 60,000
Rs.65,000
Rs.75,000
Answer: A
Question: An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
Choices:
33 1/6%
33 1/3%
38 1/3%
33 2/3%
Answer: B
Question: A train 600 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Choices:
268 m
700 m
267 m
181 m
Answer: B
Question: If 213 × 16 = 3408, then 0.16 × 2.13 is equal to :
Choices:
0.3408
34.08
340.8
None of these
Answer: A
Question: Which of the following is a parallelogram:-
Choices:
120,30,130,20(angle in deg)
90,90,90,90(angle in deg)
a & c
none
Answer: C
Question: Antony, Ben, and Charles each try independently to win a carnival game. If their individual probabilities for success are 2/5, 3/8, and 2/7, respectively, what is the probability that exactly two of the three players will win but one will lose?
Choices:
1/280
3/280
3/35
68/280
Answer: D
Question: The cost of 8 pens and 4 pencils is Rs.200and the cost of 2pens and 2 pencils is Rs.48. Find the cost of each pen?
Choices:
Rs.36
Rs.42
Rs.26
Rs.104
Answer: C
Question: If a function f is defined by f(x)= 1/x for all non zero numbers x. If f(a) = -1/2 and f(ab) = 3/2 then b= ?
Choices:
1/3
-1/3
3
-12
Answer: B
Question: If n = (32)^43 + (43)^33 what is the units digit of n?
Choices:
2
4
6
8
Answer: D
Question: A man took a loan from a bank at the rate of 12% p.a. simple interest.After 3 years he had to pay Rs. 5400 interest only for the period.The principal amount borrowed by him was :
Choices:
Rs. 10,000
Rs. 15,000
Rs. 20,000
None
Answer: B
Question: 5% people of a village in Sri Lanka died by bombardment, 15% of the remainder left the village on account of fear. If now the population is reduced to 3553, how much was it in the beginning?
Choices:
2788
4400
2999
2989
Answer: B
Question: Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
Choices:
5/4
5/1
5/6
5/3
Answer: C
Question: Photography changed drastically _________ introduced in the market.
Choices:
when polariod
when polariod
as polaroid
1312
Answer: C
Question: If |e|=−e, which of the following must be true?
Choices:
e≤0
x2>x
x3<0
2x<x
Answer: A
Question: What was the day of the week on, 19th July, 1776?
Choices:
Friday
Monday
Saturday
SUNDAY
Answer: A
Question: If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is?
Choices:
157.51
157.5
157.59
157.52
Answer: B
Question: 1,000^2 + 1,001^2 +1,002^2 + 1,003^2 =
Choices:
6,030,054
6,030,055
6,030,056
6,012,012
Answer: D
Question: If it takes a tub 2 minutes to drain 5/7 of its content, how much more time will it take for the tub to be empty?
Choices:
48 seconds
1 minute, 50 seconds
2 minutes, 14 seconds
4 minutes, 12 seconds
Answer: A
Question: the sum of all two digit numbers divisible by 5 is
Choices:
945
28
279
1287
Answer: A
Question: A building contractor employs 20 male, 15 female and 5 child workers. To a male worker he pays Rs.25 per day, to a female worker Rs.20 per day and a child worker Rs.8 per day. The average wage per day paid by the contractor is?
Choices:
21
88
77
61
Answer: A
Question: Two cars cover the same distance at the speed of 50 and 66 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.
Choices:
214 km
188 km
216 km
204 km
Answer: B
Question: Suppose 7 students are staying in a hall in a hostel and they are allotted 7 beds. Among them, Parvin does not want a bed next to Anju because Anju snores. Then, in how many ways can you allot the beds?
Choices:
2088
3600
2028
1911
Answer: B
Question: Weights of two friends Ram and Shyam are in the ratio 1:5. If Ram's weight is increased by 10% and total weight of Ram and Shyam become 82.8 kg, with an increases of 15%. By what percent did the weight of Shyam has to be increased?
Choices:
10%
21%
16%
None
Answer: C
Question: The area of a circular field is 13.86 hectares. Find the cost of fencing it at the rate of Rs. 4.80 per metre.
Choices:
6336
2999
5808
2888
Answer: A
Question: How long will a boy take to run round a square field of side 50 meters, if he runs at the rate of 10km/hr?
Choices:
45sec
72sec
25sec
39sec
Answer: B
Question: A firm's annual revenue grows twice as fast as its costs. In 2007 it operated at a $1000 loss, it broke even in 2008, and in 2009 its revenues were 44% higher than in 2007. If the firm's revenues and costs grew at a constant rate over this period, what was its profit in 2009?
Choices:
1000
1300
1600
2000
Answer: B
Question: The length of the bridge, which a train 140 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
235
245
776
232
Answer: A
Question: A student chose a number, multiplied it by 2, then subtracted 138 from the result and got 102. What was the number he chose?
Choices:
120
784
217
210
Answer: A
Question: The average of five numbers is 27. If one number is excluded, the average becomes 21. The excluded number is?
Choices:
49
50
51
52
Answer: C
Question: Julie decided to save a certain amount of her monthly salary each month and her salary was unchanged from month to month. If Julie 's savings by the end of the year from these monthly savings were four times the amount she spent per month, what should be the fraction of her salary that she spent each month?
Choices:
3/9
3/2
3/5
3/4
Answer: D
Question: A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 539, what was his profit?
Choices:
s. 99
s.72
s.75
s.90
Answer: A
Question: A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 24 cm. What is the length of the wire?
Choices:
4 cm
8 cm
3 cm
9 cm
Answer: A
Question: If you graph the lines 3x + 2y = –2 and
5x – y = 14 on a standard xy-graph, at
which point will the lines intersect?
Choices:
(2, –4)
(–5, 4)
(–9, 3)
(11, 2)
Answer: A
Question: A person starting with 64 rupees and making 6 bets, wins three times and loses three times, the wins and loses occurring in random order. The chance for a win is equal to the chance for a loss. If each wager is for half the money remaining at the time of the bet, then the final result is :-
Choices:
a loss of Rs 37
neither gain nor a loss
a gain or a loss depending upon the order in which the wins and losses occur
None of these
Answer: A
Question: T divided by S equals 405.24 what is a possible remainder?
Choices:
54
9
40
4
Answer: A
Question: A rectangular lawn of dimensions 110 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
Choices:
s.4800
s.3228
s.3922
s.3928
Answer: A
Question: You hold some gold in a vault as an investment. Over the past year the price of gold increases by 42%. In order to keep your gold in the vault, you must pay 4% of the total value of the gold per year. What percentage has the value of your holdings changed by over the past year.
Choices:
46%
47.68%
44.32%
36.32%
Answer: D
Question: Of the 85 house in a development, 50 have a two-car garage, 40 have an in-the-ground swimming pool, and 35 have both a two-car garage and an in-the-ground swimming pool. How many houses in the development have neither a two-car garage nor an in-the-ground swimming pool?
Choices:
15
20
25
30
Answer: D
Question: After his first semester in college, Thomas is applying for a scholarship that has a minimum Grade Point Average (GPA) requirement of 3.5. The point values of pertinent college grades are given in the table below. If Thomas took 7 courses, each with an equal weight for GPA calculations, and received two grades of A-, one grade of B+, and one grade of B, what is the lowest grade that Thomas could receive for his fifth class to qualify for the scholarship?
Point Values of Select Grades
Grade: A | A- | B+ | B | B- | C+ | C | C-
Value: 4 | 3.7 | 3.3 | 3 | 2.7 | 2.3 | 2 | 1.7
Choices:
B+
B
B-
C+
Answer: C
Question: The average runs scored by a batsman in 35 matches is 36. In the next 14 matches the batsman scored an average of 15 runs. Find his average in all the 30 matches?
Choices:
35
29
25
30
Answer: D
Question: A man buys a cycle for Rs. 1600 and sells it at a loss of 10%. What is the selling price of the cycle?
Choices:
1420
1430
1440
1540
Answer: C
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
277
240
88
112
Answer: B
Question: A boy has fourteen trousers and 13 shirts. In how many different ways can he select a trouser and a shirt?
Choices:
182 ways
266 ways
108 ways
121 ways
Answer: A
Question: Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 34 kmph. Of how many minutes does the train stop per hour?
Choices:
27
12
14.6
28
Answer: C
Question: In a certain pet shop, the ratio of dogs to cats to bunnies in stock is 3 : 7 : 13. If the shop carries 352 dogs and bunnies total in stock, how many dogs are there?
Choices:
66
98
112
154
Answer: A
Question: On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.30 per glass on the first day, what was the price per glass on the second day?
Choices:
$0.20
$0.30
$0.40
$0.45
Answer: A
Question: What is x if x + 3y = 33 and y = 10?
Choices:
2
3
4
5
Answer: B
Question: A cylindrical water tower with radius 10 m and height 16 m is 3/4 full at noon. Every minute, .08π m3 is drawn from tank, while .03π m3 is added. Additionally, starting at 1pm and continuing each hour on the hour, there is a periodic drain of 4π m3. From noon, how many hours will drain the entire tank?
Choices:
170 6/7
171
171 3/7
172
Answer: D
Question: A train running at the speed of 60 km/hr crosses a pole in 6 sec. What is the length of the train?
Choices:
150
277
258
100
Answer: D
Question: If f(x) = 2x^2 + y, and f(2) = 30, what is the value of f(10)?
Choices:
60
52
50
222
Answer: D
Question: A, B and C work on a task. To complete the task alone, B takes twice the time that A would take to complete the task alone and 1/2rd the time that C would take to complete the task alone. If B actually worked for half the number of days that A worked and 3/2 times the number of days that C worked, what proportion of the total work was completed by B?
Choices:
2/9
9/49
7/19
4/21
Answer: D
Question: If two numbers, a and b, are to be chosen from a set of 4 consecutive integers starting with 1 and a set of three consecutive even integers starting with 10, respectively, what is the probability that b/a will not be an integer?
Choices:
1/3
1/4
1/6
1/8
Answer: A
Question: Company P had 15 percent more employees in December than it had in January. If Company P had 480 employees in December, how many employees did it have in January?
Choices:
417
410
423
445
Answer: A
Question: A jogger running at 9 km/hr along side a railway track is 360 m ahead of the engine of a 90 m long train running at 63 km/hr in the same direction. In how much time will the train pass the jogger?
Choices:
67 sec
30 sec
36 sec
23 sec
Answer: B
Question: If a: b = 19: 3, b: c = 17: 13, find a: b: c?
Choices:
323: 51: 39
343: 71: 59
353: 81: 69
363: 91: 79
Answer: A
Question: The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 90 metres?
Choices:
76 seconds
26 seconds
12 seconds
18 seconds
Answer: D
Question: If you have 6 New Year greeting cards and you want to send them to 4 of your friends, in how many ways can this be done?
Choices:
360
920
670
None
Answer: A
Question: What is the diffference between the place value and face value of 9 in the numeral 9184?
Choices:
9991
8881
8091
8991
Answer: D
Question: Train A leaves the station traveling at 30 miles per hour. Two hours later train В leaves the same station traveling in the same direction at 36 miles per hour. How many miles from the station was train A overtaken by train B?
Choices:
360
400
440
480
Answer: A
Question: A vessel of capacity 75 litres is fully filled with pure milk. Nine litres of milk is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution?
Choices:
72.9
58.08
78.3
79.3
Answer: B
Question: Find the area of a cuboid of length 10cm , breadth 8 cm . and height 6cm.
Choices:
410 cm cube
420 cm cube
430 cm cube
480 cm cube
Answer: D
Question: if cost of an apple is equal to cost of 4 oranges and he has 100$ with him. Cost of an orange is 1$. He want to buy same number of orange and apples. So how many apple and orange he would be able to buy in 100$?
Choices:
20 apple and 20 oranges
27 apples and 27 oranges
30 apple and 30 oranges
34 apples and 34 oranges
Answer: A
Question: Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 3 ½ hours if they are walking in the same direction?
Choices:
5 7/8 km
17 7/8 km
7 7/8 km
2 7/8 km
Answer: C
Question: Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.85. How much was lent at 5%?
Choices:
299
266
500
188
Answer: C
Question: A 270 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?
Choices:
230
277
299
213
Answer: A
Question: (51+ 52 + 53 + ... + 100) = ?
Choices:
2785
2975
3775
4000
Answer: C
Question: A right triangle has sides of a, b, and 15, respectively, where a and b are both integers. What is the value of (a + b)?
Choices:
221
225
224
226
Answer: B
Question: Find the area of circle whose radius is 8.2m?
Choices:
154
288
211.3
371
Answer: C
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:
13.8 sec
53.8 sec
10.8 sec
10.4 sec
Answer: C
Question: 5358 x 51 = ?
Choices:
283758
273298
273258
277382
Answer: C
Question: 30 men take 20 days to complete a job working 9 hours a day. how many hour a day should 40 men work to complete the job?
Choices:
6.75
6.71
6.74
6.712
Answer: A
Question: A computer can perform c calculations in s seconds. How many minutes will it take the computer to perform A calculations?
Choices:
as/c
as/60c
60c/as
a/60cs
Answer: B
Question: The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A ?
Choices:
12
14
15
16
Answer: A
Question: How many possible integer values are there for x if |2x - 3| < 6 ?
Choices:
Two
Three
Four
Six
Answer: D
Question: It is currently 7:05 PM. What time was it in the morning exactly 51,132 minutes ago?
Choices:
6:53
6:59
7:03
7:09
Answer: A
Question: Of the 400 math majors at a certain university, 30 percent will be assigned to advanced calculus on Monday and Wednesday and the remaining 70 percent will be assigned to advanced calculus on Tuesday and Thursday. However, 40 percent of the math majors prefer Tuesday and Thursday and 60 percent prefer Monday and Wednesday. What is the lowest possible number of math majors who will NOT be assigned to the days they prefer?
Choices:
20
30
45
80
Answer: D
Question: If a is a positive integer then 1^(2a) + (1^a)/(1^(2a)) =
Choices:
4
2
5
6
Answer: B
Question: A batsman makes a score of 90 runs in the 17th inning and thus increases his averages by 3. What is his average after 17th inning?
Choices:
31
27
29
42
Answer: D
Question: If the product of two positive integers is 120, which of the following could be the LCM and HCF of the two numbers? a. LCM 60 : HCF 2 b. LCM 30 : HCF 4 c. LCM 12 : HCF 10
Choices:
c only
b,c only
a only
a,c only
Answer: C
Question: What is the lowest positive integer that is divisible by 1 through 2, inclusive?
Choices:
2
8
6
1
Answer: A
Question: If goods be purchased for Rs.840 and one-fourth be sold at a loss of 20% at what gain percent should the remainder be sold so as to gain 20% on the whole transaction?
Choices:
33 7/3%
33 1/3%
37 1/3%
32 1/3%
Answer: B
Question: In how many ways Chief Minister and Minister be elected from a team of 13 members?
Choices:
131
132
143
156
Answer: D
Question: Howmany three digits odd numbers can be formed using the digits 4,5,6,7,8,9 (repetition of digits allowed)
Choices:
106
216
108
116
Answer: C
Question: The side of a rhombus is 20 m and length of one of its diagonals is 16 m. The area of the rhombus is?
Choices:
293.28
293.78
291.28
193.28
Answer: A
Question: A certain high school has 500 students. Of these students, 20 are taking music, 20 are taking art, and 10 are taking both music and art. How many students are taking neither music nor art?
Choices:
440
450
460
470
Answer: D
Question: In a house a hall is 20 m long, 15m wide and 5m high. Its interior has to be covered with mat. What will be the total expenditure if it costs Rs. 60 per square m?
Choices:
Rs.50000
Rs.57000
Rs.60000
Rs.62000
Answer: B
Question: In the xy-plane, a triangle has vertices (0,0), (4,0) and (4,7). If a point (a,b) is selected at random from the triangular region, What is the probability that a-b>0?
Choices:
4/7
3/5
3/7
1/2
Answer: A
Question: Given a spinner with four sections of equal size labeled A, B, C, and D, what is the probability of NOT getting an A after spinning the spinner two times?
Choices:
9/16
1/2
1/4
1/8
Answer: A
Question: The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number?
Choices:
70
50
20
cannot be determined
Answer: D
Question: A collection of books went on sale, and 2/3 of them were sold for $2.00 each. If none of the 36 remaining books were sold, what was the total amount received for the books that were sold?
Choices:
$144
$90
$60
$54
Answer: A
Question: A certain fraction has the same ratio to 1/18, as 2/5 does to 2/9. What is this certain fraction?
Choices:
1/7
1/10
1/12
1/15
Answer: B
Question: The present worth of a bill due sometime hence is Rs. 1100 and the true discount on the bill is Rs. 110. Find the banker’s discount and the banker’s gain.
Choices:
121
130
151
None
Answer: A
Question: A, B and C invests Rs.2000, Rs.3000 and Rs.4000 in a business. After one year A removed his money; B and C continued the business for one more year. If the net profit after 2 years be Rs.3200, then A's share in the profit is?
Choices:
127
189
400
198
Answer: C
Question: The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is :
Choices:
127
235
305
None of these
Answer: A
Question: The average of 11 numbers is 10.4. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?
Choices:
9.2
10
11.5
17
Answer: D
Question: The surface area of a cube is 486 Cm3. Find its volume
Choices:
729
759
749
719
Answer: A
Question: Including Cara and Dan, there are six members on the board of directors for a company. If the board is to be split up into a four-person subcommittee, what fraction of all the possible subcommittees that include Cara, also include Dan?
Choices:
3/5
3/10
7/10
11/20
Answer: A
Question: Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.
Choices:
2:3
2:0
2:1
2:2
Answer: A
Question: A man in a train travelling at 25km/hr notices that a train going in the opposite direction passes him in 10 sec.If the length of this train is 110m find its speed .
Choices:
40 km/hr
50 km/hr
60 km/hr
70 km/hr
Answer: D
Question: A girl goes to her office for work which is 50 miles. She goes to her office few distance by bicycle and remaining by train. The speed of bicycle is 15 mph and that of train is twice of bicycle. If she spend 20 min. more on bicycle, then total time taken by her from going to office from her home?
Choices:
2 hr 20 min
2 hr 30 min
2 hr 40 min
2 hr 50 min
Answer: A
Question: A man can row upstream at 8km/hr and down stream at 11km/hr find mans rate in still water ?
Choices:
9.5km/hr
6.5km/hr
3.5km/hr
5.5km/hr
Answer: A
Question: There are 30 socks in a drawer. 60% of the socks are red and the rest are blue. What is the minimum number of socks that must be taken from the drawer without looking in order to be certain that atleast two blue socks have been chosen?
Choices:
37
97
20
21
Answer: C
Question: John want to buy a $100 Trouser at the store, but he think it’s too expensive. Finally, it goes on sale for $10. What is the percent decrease?
Choices:
90%
40%
70%
80%
Answer: A
Question: Five drainage pipes, each draining water from a pool at the same constant rate, together can drain a certain pool in 16 days. How many additional pipes, each draining water at the same constant rate, will be needed to drain the pool in 4 days?
Choices:
9
10
12
15
Answer: D
Question: If two drawers of socks contains five different colored socks in each drawer, and a sock is randomly selected from each drawer, what is the probability of getting a pair of the same colored socks?
Choices:
1/5
1/6
1/2
4/5
Answer: A
Question: what is the angle between the hands of a clock when time is 8:20?
Choices:
75deg
50deg
15deg
30deg
Answer: B
Question: The lettersmove four steps backward to obtain the letters of the next term
?, SIY, OEU, KAQ, GWM, CSI
Choices:
AHU
WMC
RTR
UGV
Answer: B
Question: Priya covers journey from kavali to nellore by car at average speed of 70 Km/hr. She returns back by scooty with an average speed of 70 Km/hr. Find her average speed during the whole journey?
Choices:
70Km/hr
80Km/hr
90Km/hr
100km/hr
Answer: A
Question: Of the 200 people attending a conference, 60 have signed up for the Marketing workshop and 180 have signed up for the Accounting workshop. If 50 of the people attending did not sign up for either workshop, then the number of people who signed up for both the Marketing and the Accounting workshops is:
Choices:
75
80
85
90
Answer: D