antoine-444/aqua_rat_dataset huggingface dataset:
Question: The perimeter of a triangle is 32 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Choices:
88
66
55
40
Answer: D
Question: The radius of a semi circle is 6.83 cm then its perimeter is?
Choices:
32.47
34.97
32.92
32.33
Answer: B
Question: There are 8 men and 10 women and you need to form a committee of 5 men and 6 women. In how many ways can the committee be formed?
Choices:
11
11760
812
None of these
Answer: B
Question: There are 36 students in a certain geometry class. If one third of the students are boys and three fourths of the boys are under six feet tall, how many boys in the class are under six feet tall?
Choices:
9
18
24
27
Answer: A
Question: Nil and Ethan are brothers. They left their home
at the same time and drove to the same beach.
Nil drove at a speed of 40 miles per hour. Ethan
drove at a speed of 20 miles per hour. Nil
arrived at the beach 0.5 hour earlier than Ethan.
What is the distance between their home and the
beach?
Choices:
40 miles
50 miles
60 miles
70 miles
Answer: A
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
276 m
270 m
268 m
Answer: C
Question: Rs. 1300 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/8:1/3:1/4?
Choices:
Rs.216
Rs.100
Rs.300
Rs.400
Answer: A
Question: 8 men can do a piece of work in 12 days. 4 women can do it in 48 days and 10 children can do it in 24 days. In how many days can 6 men, 4 women and 10 children together complete the piece of work?
Choices:
15 days
28 days
8 days
7 days
Answer: C
Question: The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 51 kmph, find the speed of the stream?
Choices:
88
14
12
17
Answer: D
Question: How many digits are in the number 50^8 × 8^3 × 11^2 x 10^4?
Choices:
20
19
18
17
Answer: C
Question: David was born 5 years after his father's marriage. His mother is 4 years younger than his father but 20 years older than David who is 8 years old. At what age did the father get married ?
Choices:
19 years
21 years
18 years
17 years
Answer: A
Question: A boy multiplied 987 by a certain number and obtained 559981 as his answer. If in the answer both 98 are wrong and the other digits are correct , then the correct answer would be :
Choices:
556677
555681
267788
268811
Answer: B
Question: In a hotel we can order two types of varieties, but we can make 8 more varieties in home. One can choose the four varieties with two from hotel as must. Find how many ways one can order.
Choices:
15
56
28
29
Answer: C
Question: Find the C.I. on a sum of Rs.1600 for 9 months at 20% per annum, interest being compounded quarterly?
Choices:
2889
2522
2678
7111
Answer: B
Question: The spherical ball of lead 3 cm in diameter is melted and recast into 3 spherical balls. The diameters of two of these are 1 1/2 cm and 2 cm respectively. The diameter of third ball is?
Choices:
2.5
2.2
2.0
2.1
Answer: A
Question: In climbing a round pole of 80 meters height, a monkey climbs 5 meters in a minute and slips 2
meters in the alternate minute. To get to the top of the pole, the monkey would take :
Choices:
51 minutes
58 minutes
61 minutes
63 minutes
Answer: A
Question: Kim can do a work in 3 days while David can do the same work in 2 days. Both of them finish the work together and get Rs. 150. What is the share of Kim?
Choices:
60
99
26
21
Answer: A
Question: When n is divided by 19, the remainder is 6. When n is divided by 11, the quotient is equal to Z, and the remainder is equal to 6. Z must be divisible by which of the following numbers?
Choices:
7
10
13
nineteen
Answer: D
Question: On dividing 22 by a number, the quotient is 7 and the remainder is 1. Find the divisor.
Choices:
2
3
6
7
Answer: B
Question: An artist wishes to paint a circular region on a square poster that is 3.4 feet on a side. If the area of the circular region is to be 1/2 the area of the poster, what must be the radius of the circular region in feet?
Choices:
sqrt(2/pi)
1
2/sqrt(pi)
sqrt(5.78/pi)
Answer: D
Question: Quentin's income is 60% less than Dev's income, and Sam's income is 25% less than Quentin's income. If Dev gave 60% of his income to Sam and 40% of his income to Quentin, Quentin's new income would be what fraction of Sam's new income?
Choices:
8/9
8/13
11/13
12/13
Answer: A
Question: If xy = 5 and x^2 + y^2 = 10, then x/y + y/x =
Choices:
2
5 1/3
7
60
Answer: A
Question: About the number of pairs which have 18 as their HCF and 136 as their LCM, the conclusion can be
Choices:
only two such pairs exist
such pair is not exists
no pairs
None of these
Answer: B
Question: The smallest number which when diminished by 2, is divisible by 12, 16, 18, 21 and 28 is
Choices:
1010
1022
1032
1043
Answer: A
Question: if QUESTION =DOMESTIC what will b code for RESPONSE ????
Choices:
OMESICSM
OMESICEM
OMESISCM
OMESISCN
Answer: B
Question: Adams, Smith, Derek, Alex and Bob bought movie tickets in one row next to each other. What is the probability that Bob and Adams will each sit next to each other?
Choices:
10%
15%
20%
25%
Answer: A
Question: The l ength of a rectangle is halved, while its breadth is tripled. Watis the % change in area?
Choices:
40%
50percent
60%
70%
Answer: B
Question: A certain boxer has agreed to pay his opponent a fee of 2.5% of his total purse for every pound over the specified weight limit he weighs in. If the boxer pays his opponent a fee of $225,000 after weighing in seven pounds over the specified limit, what was the boxer's purse?
Choices:
$105,000
$150,000
$183,750
$1,285,714
Answer: D
Question: Calculate how many days it will take for 10 boys to paint a 80 m long wall if 6 boys can paint a 70 m long wall in 8 days,
Choices:
3.48 days
7.48 days
5.48 days
6.48 days
Answer: C
Question: The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 6 per square feet if there is one door of dimensions 6 feet * 3 feet and three WINDOWS of dimensions 4 feet * 3 feet each?
Choices:
345
5436
4530
4566
Answer: B
Question: A, B and C, each working alone can complete a job in 6, 8 and 12days respectively. If all three of them work together to complete a job and earn $2500, what will be C's share of the earnings?
Choices:
$1005.8
$555.6
$1009.2
$1490.7
Answer: B
Question: A boy was asked to multiply a number by 22. He instead multiplied the number by 44 and got the answer 308 more than the correct answer. What was the number to be multiplied?
Choices:
10
14
12
8
Answer: B
Question: 5292 can be expressed as a product of primes as
Choices:
2 × 3 × 3 × 3 × 7 × 7
2 × 2 × 2 × 3 × 3 × 7
2 × 3 × 3 × 3 × 3 × 7
2 x 2 x 3 x 3 x 3 x 7 x 7
Answer: D
Question: If a, b, c are consecutive positive integers and a<b<c, which of the following must be true?
I. c-b=1
II. abc is an even integer
III. (a+b+c)/3 is an integer
Choices:
I, II & III
I and II
II and III
I
Answer: A
Question: The amount of water (in ml) that should be added to reduce 9 ml. Lotion, containing 50% alcohol, to a lotion containing 15% alcohol, is?
Choices:
21
25
26
27
Answer: A
Question: A number when successively divided by 3,5 and 8 leaves remainders 1,4 and 7 respectively. Find the respective remainders R when the order of the divisors is reversed.
Choices:
R=4,2,1
R=3,2,1
R=6,4,2
None of above
Answer: C
Question: A question paper has 2parts, A & B, each containing 10 questions. If a student has to choose 8 from part A &5 from part B, in how many ways can he choose the questions?
Choices:
1040
1050
1100
1140
Answer: D
Question: A car driver travels from the plains to the hill station, which are 200 km apart at an average speed of 30km/hr. in return trip, he covers the same distance at an average speed of 20km/hr. the average speed of the car over the entire distance of 400 km is
Choices:
24.0km/hr
27.8km/hr
37.9km/hr
8.45km/hr
Answer: A
Question: A rower can row upstream at 18 kph and downstream at 34 kph. What is the speed of the rower in still water?
Choices:
25
26
27
28
Answer: B
Question: The average of 15 numbers is 15. If the average of first five numbers is 14 and that of other 9 numbers is 16, then find the middle number.
Choices:
11
10
9
8
Answer: A
Question: Mary's income is 60% more Than Tim's income and Tim's income is 60% less than Juan's income.What % of Juan's income is Mary's income.
Choices:
B.120%
64%
80%
64%
Answer: B
Question: A 470 m long train is running at a speed of 55 Km/hr. It crossed a platform of length 520 m in ?
Choices:
64.8 sec
31.8 sec
50.4 sec
none of the above
Answer: A
Question: A person spent Rs. 5,040 from his salary on food and 5,000 on house rent. After that he was left with 20% of his monthly salary. What is his monthly salary ?
Choices:
32,550
52,550
62,550
12,550
Answer: D
Question: A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 59.29, the number of the member is the group is:
Choices:
67
77
87
97
Answer: B
Question: A and B together can complete work in 8 days. A alone starts working and leaves it after working for 6 days completing only half of the work. In how many days it can be completed if the remaining job is undertaken by B?
Choices:
8
5
12
7
Answer: C
Question: When all the students in a school are made to stand in rows of 46, 36 such rows are formed. If the students are made to stand in rows of 42, how many such rows will be formed ?
Choices:
36
38
39
21
Answer: C
Question: Complete the series 20, 19, 17, ...., 10, 5
Choices:
16
13
14
12
Answer: C
Question: Find the number which when increased by 11 is equal to 60 times the reciprocal of the number
Choices:
4
6
7
9
Answer: A
Question: If 15 students in a class average 75% on an exam and 10 students average 95% on the same exam, what is the average in percent for all 25 students?
Choices:
82%
83%
84%
85%
Answer: B
Question: If v, w, x, y, and z are five different prime numbers, which of the following is the smallest possible value of v + w + x + y + z?
Choices:
26
28
30
32
Answer: B
Question: If Finn was 20 months old one year ago, how old was he, in months, x months ago?
Choices:
x − 12
32 − x
24 − x
30 − x
Answer: B
Question: A man has Rs. 520 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choices:
97.5
75
90
105
Answer: A
Question: At what rate percent per annum will a sum of money double in 5 years.
Choices:
20.0%
11.5%
14.5%
21.5%
Answer: A
Question: A train 165 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Choices:
6
7
8
9
Answer: D
Question: A used-book dealer sells paperback books at 3 times the dealer's cost and hardback books at 4 times the dealer's cost. Last week, the dealer sold a total of 130 books, each of which had cost the dealer $1. If the gross profit (sales revenue minus the dealer's cost) on the sale of all of these books was $300, how many of the books sold were paperbacks?
Choices:
60
75
90
100
Answer: C
Question: A man travelled from the village to the post office at the rate of 25kmph and walked backed at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, find the distance of the post office from the village?
Choices:
50km
30km
25km
20km
Answer: D
Question: Yesterday it took Robert 3 hours to drive from City X to City Y. Today it took Robert 2.5 hours to drive back from City Y to City X along the same route. If he had saved 15 minutes in both trips, the speed for the round trip would be 50 miles per hour. What is the distance between city X and city Y?
Choices:
125.5
150
240.5
300
Answer: A
Question: 87th number in the series 2, 10, 26,50,……….
Choices:
29930
27960
26780
25874
Answer: A
Question: Two numbers when divided by a divisor leave remainders of 228 and 352 respectively. The remainder obtained when the sum of the numbers is divided by the same divisor is 68. Find the divisor.
Choices:
512
634
685
736
Answer: A
Question: A train 825 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 90 seconds. The speed of the train is:
Choices:
27
27
50
81
Answer: C
Question: A man can row 8 kmph in still water. When the river is running at 3 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
Choices:
5.7
5.76
5.74
6.8
Answer: D
Question: If x and y are integers, what is the least positive number of 24x+20y?
Choices:
3
4
6
8
Answer: B
Question: 100 people are attending a newspaper conference. 35 of them are writers and more than 38 are editors. Of the people at the conference, x are both writers and editors and 2x are neither. What is the largest possible number of people who are both writers and editors?
Choices:
26
28
30
32
Answer: A
Question: How many different positive integers exist between 10^3 and 10^4, the sum of whose digits is equal to 2?
Choices:
4
5
6
7
Answer: A
Question: If the average (arithmetic mean) of a and b is 30 and the average of b and c is 60, what is the value of c − a?
Choices:
60
90
140
It cannot be determined from the information given.
Answer: A
Question: Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
Choices:
50
27
28
21
Answer: A
Question: A numberais squared and then multiplied by negative 3. The result of this operation W is equal to three times the sum of three timesaand two. What is one possible value ofa?
Choices:
-2
1
2
3
Answer: A
Question: Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
Choices:
9/25
8/20
9/20
6/20
Answer: C
Question: The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers?
Choices:
180
667
299
12
Answer: A
Question: During one month at a particular restaurant, 1/6 of the burgers sold were veggie burgers and 1/2 of the rest of the burgers sold were double-meat. If x of the burgers sold were double-meat, how many were veggie burgers?
Choices:
x/2
2x/5
3x/4
4x/5
Answer: B
Question: In a tree, 3/7 of the birds are parrots while the rest are toucans. If 2/3 of the parrots are female and 7/10 of the toucans are female, what fraction of the birds in the tree are male?
Choices:
11/35
16/35
31/70
37/70
Answer: A
Question: If f(x) = ax^3 + x^2 + ax – 2x, then f(b) – f(-b) will equal:
Choices:
2ab
2ab^3 + 2ab - 4b
- 4b
2ab^3
Answer: B
Question: The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 432 sq m, then what is the breadth of the rectangular plot?
Choices:
12
18
19
14
Answer: A
Question: A number when divided by a divisor leaves a remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?
Choices:
59
35
37
12
Answer: C
Question: If g and s are positive integers such that (2^g)(4^s) = 16, then 2g + s =
Choices:
3
4
5
6
Answer: C
Question: What will come in place of the x in the following Number series? 11, 14, 19, 22, 27, 30, 35, 38, 43 x
Choices:
46
36
35
45
Answer: A
Question: What Is The Next Number
12 13 15 17 111 113 117 119 ?
Choices:
123
129
428
224
Answer: A
Question: If x and y are integers and xy = 330, x or y must be divisible by which of the following?
Choices:
5
6
20
30
Answer: A
Question: 60% of the employees of a company are men. 60% of the men in the company speak French and 50% of the employees of the company speak French. What is % of the women in the company who do not speak French?
Choices:
10%
96%
90%
65%
Answer: D
Question: How much is 80% of 40 is greater than 4/5 of 25?
Choices:
7
18
12
23
Answer: C
Question: Steve gets on the elevator at the 11th floor of a building and rides up at a rate of 57 floors per minute. At the same time Joyce gets on an elevator on the 51st floor of the same building and rides down at a rate of 63 floors per minute. If they continue traveling at these rates, at which floor will their paths cross?
Choices:
28
30
32
44
Answer: B
Question: A thief goes away with a SANTRO car at a speed of 25 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 60 kmph when will the owner over take the thief from the start?
Choices:
5/7 hours
2/3 hours
1/3 hours
2/5 hours
Answer: A
Question: A club with a total membership of 30 has formed 3 committees, M, S and R, which have 7, 12 and 5 members respectively. If no members of committee M is on either of the other 2 committees, what is the greatest possible number of members in the club who are on none of the committees?
Choices:
7
8
10
11
Answer: D
Question: An empty fuel tank with a capacity of 200 gallons was filled partially with fuel A and then to capacity with fuel B. Fuel A contains 12% ethanol by volume and fuel B contains 16% ethanol by volume. If the full fuel tank contains 28 gallons of ethanol, how many gallons of fuel A were added?
Choices:
150
100
80
50
Answer: B
Question: 45 x ? = 25% of 900
Choices:
4
5
500
None
Answer: B
Question: There is a sequence A(n) such that A(n+1)=2A(n)-1 and A(1)=3, where n is a positive integer. What is the value of A(66)-A(65)?
Choices:
2^65
2^23+1
2^24
2^23+1
Answer: A
Question: At the wholesale store you can buy an 8-pack of hot dogs for $1.55, a 20-pack for $3.05, and a 250-pack for $22.95. What is the greatest number of hot dogs you can buy at this store with $205?
Choices:
2,100
2,140
2,124
2,256
Answer: B
Question: How many integers k greater than 100 and less than 900 are there such that if the hundreds and the unit digits of k are reversed, the resulting integer is k + 99?
Choices:
60
70
80
90
Answer: B
Question: A five-person team is to be formed from a pool of 6 East All Stars and 6 West All Stars. What is the probability that the team will contain at least 2 East All Stars?
Choices:
fraction of 29/33
57/120
47/144
119/720
Answer: A
Question: A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?
Choices:
23.9 km/hr
22.9 km/hr
22.7 km/hr
23.8 km/hr
Answer: C
Question: A recycling facility is staffed by 15 floor workers and one manager. All of the floor workers are paid equal wages, but the manager is paid n times as much as a floor worker. If the manager’s wages account for 1/14 of all wages paid at the facility, what is the value of n?
Choices:
9
10
15/13
11
Answer: C
Question: A can do a piece of work in 20 days; B can do the same in 30 days. A started alone but left the work after 10 days, then B worked at it for 10 days. C finished the remaining work in 10 days. C alone can do the whole work in?
Choices:
65 days
40 days
50 days
60 days
Answer: D
Question: In a group of ducks and cows, the total number of legs are 24 more than twice the number of heads. Find the total number of cows.
Choices:
B)12
C)16
D)8
E)6
Answer: A
Question: Solution Y is 30 percent liquid X and 70 percent water. If 2 kilograms of water evaporate from 10 kilograms of solution Y and 2 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new solution is liquid X?
Choices:
35
36
37 1/25
40
Answer: B
Question: For an employee to qualify for early retirement at a certain company, the sum of the employee’s age and years of service must be at least 50, If Sue was K years old when she was hired by the company, what is the minimum age at which she could possibly qualify for early retirement.
Choices:
2K+35
(70+K)/2
(50+K)/2
2(70-K)
Answer: C
Question: A man purchases an electric heater whose printed price is Rs.160. If he received two successive discounts of 20% and 10%; he paid :
Choices:
Rs.129.60
Rs.119.60
Rs.115.20
None
Answer: C
Question: What are the last two digits of 24*62*33*48*39*16?
Choices:
08
64
34
12
Answer: A
Question: The ratio of ages of Aman, Bren, and Charlie are in the ratio 5:8:7 respectively. If 8 years ago, the sum of their ages was 76, what will be the age of Bren 12 years from now?
Choices:
25
27
52
60
Answer: D
Question: A father told his son "I was as old as you are at present, at the time of your birth". If the father is 38 years old now, then what was the son's age five years ago in years?
Choices:
14
38
33
35
Answer: A
Question: A man is walking at the rate of 10 km/hr crosses a bridge in 15 minutes. The length of the bridge is
Choices:
1050 meters
1200 meters
1250 meters
2500 meters
Answer: D
Question: Three factories of Conglomerate Corporation are capable of manufacturing hubcaps. Two of the factories can each produce 1000 hubcaps in 15 days. The third factory can produce hubcaps 30% faster. Approximately how many days would it take to produce a 10,000 hubcaps with all three factories working simultaneously?
Choices:
42
46
50
54
Answer: B
Question: There are 32 balls which are red, blue or green. If 15 balls are green and the sum of red balls and green balls is less than 23, at most how many red balls are there?
Choices:
5
6
7
8
Answer: C
Question: A train 275 m long, running with a speed of 90 km / hr will pass a tree in
Choices:
11 sec
16 sec
20 sec
None
Answer: A
Question: The smallest 3 digit positive integer obtained by adding two positive two digit numbers, one of which has the units and tens places interchanged as the other is _____
Choices:
101
105
110 is answer
121
Answer: C
Question: If one of the followings is the product of the two 3-digit integers 8K6 and 6L9 (K and L denote the tens digit of the respective integers), then that product must be
Choices:
511,913
531,875
538,424
569,112
Answer: C
Question: A property decreases in value every year at the rate of 6 1/4% of its value at the beginning of the year its value at the end of 3 years was Rs.21093. Find its value at the beginning of the first year?
Choices:
25600.24
25600.26
25600.22
25600.21
Answer: A
Question: A coin is tossed four times. What is the probability that there is at the least one tail?
Choices:
15/16
31/18
31/10
31/19
Answer: A
Question: If a randomly selected positive single digit multiple of 3 is multiplied by a randomly selected prime number less than 20, what is the probability Q that this product will be a multiple of 45?
Choices:
1/28
1/24
1/16
1/14
Answer: B
Question: A train moving at 2/3 rd of its normal speed reaches its destination 20 minutes late. Find the normal time taken?
Choices:
1/3 hour
2/3 hour
3/4 hour
1/4 hour
Answer: B
Question: Convert the 17/36 m/s into kilometers per hour?
Choices:
1.7
1.3
1.1
1.2
Answer: A
Question: A bar over a sequence of digits in a decimal indicates that the sequence repeats indefinitely. What is the value of (10^4 -10^2)(0.0017)?
Choices:
17.83
18.83
16.83
26.83
Answer: C
Question: If x + y = 6 and x – y = 3, then x^2 - y^2 =
Choices:
4
10
19
40
Answer: C
Question: P beats Q by 125 meter in a kilometer race. Find Q's speed if P's speed is 8 meter/sec.
Choices:
7 meter/sec
14 meter/sec
18 meter/sec
28 meter/sec
Answer: A
Question: How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?
Choices:
12.1 sec
18.1 sec
17.1 sec
12.7 sec
Answer: A
Question: A train 600m long is running at 54km/hr. How much time will it take to cross a pole?
Choices:
42 secs.
35 secs.
45 secs.
40 secs.
Answer: D
Question: The S.I. on a certain sum of money for 6 years at 16% per annum is half the C.I. on Rs. 8000 for 2 years at 20% per annum. The sum placed on S.I. is?
Choices:
2802.33
1833.33
2990.33
2982.33
Answer: B
Question: In how many ways can a cricket eleven be chosen out of a batch of 15 players.
Choices:
4561
1450
1365
1250
Answer: C
Question: Ramesh purchased a refrigerator for Rs. 16500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 10% if no discount was offered?
Choices:
26888
22899
23100
32778
Answer: C
Question: There are 7 players in a bowling team with an average weight of 94 Kg. If two new players join the team, one weighs 110 Kg and the second weighs 60 Kg, what will be the new average weight?
Choices:
80 Kg.
86 Kg.
90 Kg.
92 Kg.
Answer: D
Question: In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 75 questions and secures 125 marks, the number of questions he attempts correctly, is :
Choices:
40
26
25
11
Answer: A
Question: 3889 + 12.952 – ? = 3854.002
Choices:
47.752
47.932
47.95
None of these
Answer: C
Question: A satellite is composed of 24 modular units, each of which is equipped with a set of sensors, some of which have been upgraded. Each unit contains the same number of non-upgraded sensors. If the number of non-upgraded sensors on one unit is 1/4 the total number of upgraded sensors on the entire satellite, what fraction of the sensors on the satellite have been upgraded?
Choices:
1/5
1/6
1/7
1/24
Answer: C
Question: In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 280, then the number is:
Choices:
24
27
35
46
Answer: C
Question: A cargo ships engines failed 100 miles away from the port. Due to the changing wind direction, it is moving 12 miles towards the port and 6 miles away from the port. If the wind pattern remains same, how many miles it will travel before reaching the port?
Choices:
B - 240
C - 280
D - 100
E - 155
Answer: B
Question: If m=4p where p is a prime number greater than 2, how many different positive even divisors does m have, including m?
Choices:
three
four
six
eight
Answer: B
Question: Ramu bought an old car for Rs. 45000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?
Choices:
A)12.5%
C)18%
D)22%
of these
Answer: A
Question: Two pipes A and B can fill a cistern in 12 and 15 minutes respectively. Both are opened together but after 6 minutes A is turned off. After how much more time will the cistern be filled?
Choices:
8 1/1
8 1/4
1 1/2
8 3/7
Answer: C
Question: What is the place value of 4 in the numeral 2436?
Choices:
400
700
800
840
Answer: A
Question: The sum of how many terms of the series 6 + 12 + 18 + 24 + ... is 1800 ?
Choices:
24
28
32
24
Answer: A
Question: what is the 49 th word if the letters of the word ABUSER is arranged in alphabetical order
Choices:
ARBESW
ARBESU
ARBESS
ARBESE
Answer: B
Question: Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is:
Choices:
267gallons
120gallons
767gallons
167gallons
Answer: B
Question: A salt manufacturing company produced a total of 1000 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its ave66rage daily production for that year?
Choices:
51
55
56
57
Answer: A
Question: By looking at a rectangular box, a carpenter estimates that the length of the box is between 2 to 2.1 meters, inclusive, the breadth is between 1 to 1.1 meters, inclusive and the height is between 2 to 2.1 centimeters, inclusive. If the actual length, breadth and height of the box do indeed fall within the respective ranges estimated by the carpenter, which of the following is the closest to the maximum possible magnitude of the percentage error R that the carpenter can make in calculating the volume of the rectangular box?
Choices:
3%
10%
18%
22%
Answer: D
Question: A theater box office sold an average (arithmetic mean) of 64 tickets per staff member to a particular movie. Among the daytime staff, the average number sold per member was 76, and among the evening staff, the average number sold was 60. If there are no other employees, what was the ratio of the number of daytime staff members to the number of evening staff members?
Choices:
1:4
1:3
15:19
64:76
Answer: B
Question: The speed of a car is 80 km in the first hour and 40 km in the second hour. What is the average speed of the car?
Choices:
60 kmph
30 kmph
80 kmph
82 kmph
Answer: A
Question: According to the formula F=9/5 (C) +32, if the temperature in degrees Farenheit (F) increases by 25, by how much does the temperature in degrees Celsius (C) increase?
Choices:
13.88
47
48 3/5
59
Answer: A
Question: Initially, the men and women in a room were in the ratio of 4 : 5. Then, 2 men entered the room and 3 women left the room. Then, the number of women doubled. Now there are 14 men in the room. How many Q women are currently in the room?
Choices:
14
15
24
36
Answer: C
Question: A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.19200. A's share is?
Choices:
2765
6400
1298
1261
Answer: B
Question: Nine persons went to a hotel for taking their meals. Eight of them spent 12 each on their meals and the ninth spend 8 more than the average expenditure of all the nine. What was the total money spent by them?
Choices:
117
119
122
None of the above
Answer: A
Question: If John takes 11 minutes to eat x raisins, how many seconds will it take him to eat z raisins, assuming he continues to eat at the same rate?
Choices:
11x/z
660xz
660z/x
11z/x
Answer: C
Question: In a hostel there were 100 students. To accommodate 25 more students the average is decreased by rupees 10. But total expenditure increased by Rs.500. Find the total expenditure of the hostel now?
Choices:
7500
5400
7000
8500
Answer: A
Question: 3889 + 12.998 - ? = 3854.002
Choices:
A)47.996
C)47.932
D)47.95
of the above
Answer: A
Question: Jim needs $1,000 to buy a new flat-screen TV. Since he has only $7, he borrows the remaining balance from his sister Mary. The loan will be repaid in 3 annual installments at an interest rate of 10%, compounded annually. The formula for calculating the monthly payment P is P = (L x C x r) / (C – 1) where L = amount of the loan, r = annual interest rate, and C = compounding factor = (1 + r)^N where N = number of annual payments. How much does Jim have to pay Mary at the end of each of the next 3 years (rounded to the nearest penny)?
Choices:
$375.85
$387.40
$399.30
$433.33
Answer: C
Question: The difference between the place value and the face value of 7 in the numeral 856973 is
Choices:
63
5994
6084
None of these
Answer: A
Question: Sara is an avid lottery player. In the certain game she plays, she must pick one number between 30 and 39, inclusive, one number between 40 and 49, inclusive, and one number between 50 and 59, inclusive. She believes that she will have the best chance of winning if her three numbers, as a set, have the greatest number of distinct prime factors possible. According to Sara’s theory, which of the following sets of three numbers should she use?
Choices:
33−42−56
39−40−54
38−49−51
36−42−56
Answer: C
Question: Length of a rectangular plot is 20 mtr more than its breadth. If the cost of fencin gthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?
Choices:
60 m
80 m
82 m
84 m
Answer: A
Question: The measures of the 2 acute angles of a triangle are in the ratio of 3 : 7. What arethe measures of the 2 angles?
Choices:
70°
110°
63°
140°
Answer: C
Question: In how many years will a sum of money doubles itself at 10% per annum on simple interest?
Choices:
20%
10%
28%
20%
Answer: B
Question: If positive integer n is divisible by both 5 and 16, then n must be divisible by which of the following?
Choices:
8
18
24
48
Answer: A
Question: What is the difference between the place value and face value of 3 in the numeral 1375?
Choices:
297
310
320
322
Answer: A
Question: A train 125 m long passes a man, running at 4 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Choices:
17 km/hr
76 km/hr
49 km/hr
15 km/hr
Answer: C
Question: A certain car averages 25 miles per gallon of gasoline when driven in the city and 40 miles per gallon when driving on the highway. According to these rates, which of the following is closest to the number of miles per gallon that the car averages when it is driven 10 miles in the city and then 40 miles on the highway?
Choices:
30
33
35
38
Answer: C
Question: A number increased by 30% gives 780. The number is
Choices:
400
450
600
520
Answer: C
Question: What number comes next?
452, 693, 714, 526, 937, ?
Choices:
231
145
148
123
Answer: B
Question: In a certain group of 10 developers, 4 developers code only in Python and the rest program in either Ruby on Rails or PHP - but not both. If a developer organization is to choose a 3-member team, which must have at least 1 developer who codes in Python, how many different programming teams can be chosen?
Choices:
100
66
80
75
Answer: A
Question: Given that p is a positive even integer with a positive units digit, if the units digit of p^3 minus the units digit of p^2 is equal to 0, what is the units digit of p +1?
Choices:
7
9
10
11
Answer: A
Question: P is able to do a piece of work in 15 days and Q can do the same work in 20 days. If they can work together for 4 days, what is the fraction of work left?
Choices:
8/15
11/15
13/17
15
Answer: A
Question: In a group of ducks and cows, the total number of legs are 40 more than twice the number of heads. Find the total number of cows.
Choices:
14
16
18
20
Answer: D
Question: A driver covers a certain distance by car driving at 60 km/hr and returns back to the starting point riding on a scooter at 20 km/hr. What was the average speed for the whole journey?
Choices:
26 km/h
28 km/h
30 km/h
32 km/h
Answer: C
Question: x, a, z, and b are single digit positive integers. x = ¼ a. z = ¼ b. (10a + b) + (10x + z) could NOT equal
Choices:
60
95
63
110
Answer: C
Question: If d is the standard deviation x, y, and z, what is the standard deviation of x +7, y + 7, z + 7 ?
Choices:
7d+7
7d+14
d
7d+21
Answer: C
Question: Ram and Ramesh can do a work piece of work in 6 days. Ram alone can do it in 10 days. In how many days can Ramesh alone can do it?
Choices:
12 days
15 days
13 days
10 days
Answer: B
Question: The ratio of alcohol and water in three mixtures of alcohol and water is 3:2, 4:1, and 7:3. If equal quantities of the mixture are drawn and mixed, the concentration of alcohol in the resulting mixture will be?
Choices:
70%
75%
80%
90%
Answer: A
Question: A and B started a business with initial investments in the ratio 8 : 3, after some months B withdrawn his investment, and their share in the annual profits were in the ratio 8 : 7. Then how long B was in the business ?
Choices:
28 months
9 months
5 months
7 months
Answer: A
Question: A deer is standing 50 meters in from the west end of a tunnel. The deer sees a train approaching from the west at a constant speed ten times the speed the deer can run. The deer reacts by running toward the train and clears the exit when the train is 80 meters from the tunnel. If the deer ran in the opposite direction it would barely escape out the eastern entrance just as the train came out of the eastern entrance. How long is the tunnel in meters?
Choices:
100
110
120
130
Answer: C
Question: If k and t are integers and k^2 – t^2 is an odd integer, which of the following must be an even integer?
I. k + t + 2
II. k^2 + 2kt + t^2
III. k^2 + t^2
Choices:
None
II only
III only
I, II, and III
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: D12, H16, __, P24, T28, ... What number should fill the blank?
Choices:
I17
J18
K19
L20
Answer: D
Question: Laxmi and Prasanna set on a journey. Laxmi moves northwards at a speed of 18 kmph and Prasanna moves southward at a speed of 27 kmph. How far will be Prasanna from Laxmi after 60 minutes ?
Choices:
50
28
45
18
Answer: C
Question: A boat can travel with a speed of 42 km/hr in still water. If the speed of the stream is 10 km/hr, find the time taken by the boat to go 94 km downstream
Choices:
2 hour 40 min
1 hour 20 min
1 hour 30 min
1 hour 50 min
Answer: D
Question: The owner of a furniture shop charges his customer 20% more than the cost price. If a customer paid Rs. 8400 for a computer table, then what was the cost price of the computer table?
Choices:
7000
2670
6725
2601
Answer: A
Question: A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?
Choices:
1
8
7
4
Answer: C
Question: Some consecutive natural numbers, starting with 1, are written on the board. Now, one of the numbers was erased and the average of the remaining numbers is 800/39. Find the number which was erased.
Choices:
20
18
16
15
Answer: A
Question: What is the least common multiple of 152 and 190?
Choices:
14440
760
28880
1520
Answer: B
Question: The speed of a boat in still water in 42 km/hr and the rate of current is 6 km/hr. The distance travelled downstream in 44 minutes is:
Choices:
46.6 km
35.2 km
35.6 km
26.6 km
Answer: B
Question: The price of a car depreciates in the first year by 25% in the second year by 20% in third year by 15% and so on. The final price of the car after 3 years, if the present cost of the car is Rs. 10,00,000 :
Choices:
1,70,000
6,90,000
5,10,000
None of these
Answer: C
Question: 42.11 + 356.032 + 42.98 = ?
Choices:
441.122
440.183
622.443
None of these
Answer: A
Question: In objective test a correct ans score 4 marks and on a wrong ans 2 marks are ---. a student score 480 marks from 150 question. how many ans were correct?
Choices:
130
110
150
180
Answer: A
Question: When integer m is divided by 30, the remainder is 5. Which of the following has a remainder of 10 when divided by 15 ?
I. 3m
II. 7m
III. 4m + 10
IV. 6m
V .5m
Choices:
V Only
III Only
II Only
IV only
Answer: A
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 600 grams per kg, what is his percent?
Choices:
25%
65%
45%
66.7%
Answer: D
Question: A student scores 55% marks in 8 papers of 100 marks each. He scores 15% of his total marks in English. How much does he score in English?
Choices:
-2
7
6
18
Answer: A
Question: In the first week of last month, Company X realized an average wholesale profit of $7140 per day from the sale of q units of Product Y. Which of the following CANNOT be the difference between Product Y’s sale price and cost per unit?
Choices:
$4
$7
$13
$51
Answer: C
Question: Two trains start from same place at same time at right angles to each other. Their speeds are 36km/hr and 48km/hr respectively. After 30 seconds the distance between them will be ?
Choices:
190 mts
100 mts
500 mts
110 mts
Answer: C
Question: 261 ÷ ? × 15 + 270 = 405
Choices:
25
36
39
43
Answer: C
Question: Paul sells encyclopedias door-to-door. He earns $150 on every paycheck, regardless of how many sets he sells. In addition, he earns commission as follows:
Commission Sales
10% $0.00 - $10,000.00
5% $10,000.01 --->
He does not earn double commission.That is, if his sales are $12,000, he earns 10% on the first $10,000 and 5% on the remaining $2,000.
His largest paycheck of the year was $1,320. What were his sales for that pay period?
Choices:
13,400
16,400
15,800
19,600
Answer: A
Question: The length of a rectangle is increased by 25% and its breadth is decreased by 20%. What is the effect on its area?
Choices:
10000
16990
16007
16991
Answer: A
Question: A not-so-good clockmaker has four clocks on display in the window. Clock #1 loses 35 minutes every hour. Clock #2 gains 15 minutes every hour relative to Clock #1 (i.e., as Clock #1 moves from 12:00 to 1:00, Clock #2 moves from 12:00 to 1:15). Clock #3 loses 20 minutes every hour relative to Clock #2. Finally, Clock #4 gains 20 minutes every hour relative to Clock #3. If the clockmaker resets all four clocks to the correct time at 12 noon, what time will Clock #4 display after 6 actual hours (when it is actually 6:00 pm that same day)?
Choices:
5:34
5:42
6:00
6:24
Answer: D
Question: How many two-digit numbers yield a remainder of 2 when divided by both 7 and 16?
Choices:
0
2
3
4
Answer: A
Question: A shopkeeper sold an article offering a discount of 5% and earned a profit of 18.75%. What would have been the percentage of profit earned if no discount was offered?
Choices:
23%
25%
56%
73%
Answer: B
Question: An article was sold after a discount of 20% and therewas a gain of 20%. If the profit madeon it was Rs.6 less thanthe discount offered on it, find its SP?
Choices:
Rs. 65
Rs. 70
Rs. 72
Rs. 90
Answer: B
Question: A thief is noticed by a policeman from a distance of 150 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes ?
Choices:
50 meter
110 meter
120 meter
130 meter
Answer: A
Question: Arun has certain number of books. It is not less than 15 and not more than 30. If he wants to give these books equally to 2 of his friends, then 1 book will remain. If he wants to give these books equally to 3 of his friends, then 2 books will remain. If he wants to give these books equally to 4 of his friends, then 3 books will remain. What is the number of books he had?
Choices:
19
17
29
23
Answer: D
Question: What is the remainder when 4^381 is divided by 5 ?
Choices:
1
2
3
4
Answer: D
Question: The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?
Choices:
11.0
11.3
11.5
11.1
Answer: C
Question: A train running at the speed of 60 km/hr crosses a pole in 12 sec. What is the length of the train?
Choices:
200 m
115 m
110 m
150 m
Answer: A
Question: An investment gained an interest payment of $250 each month when the annual interest rate was 8%, how much more should we invest annually if we want to gain 12% more per month with a new annual interest rate of 7.5% ?
Choices:
$9,100
$8,250
$7,300
$7,150
Answer: C
Question: If the compound interest on a certain sum of money for 7 years at 10% per annum be Rs. 993, what would be the simple interest?
Choices:
Rs. 890
Rs. 895
Rs. 2100
None
Answer: C
Question: What is the difference between the largest number and the least number written with the figures 3, 4, 7, 0, 3?
Choices:
34389
43983
43883
43700
Answer: B
Question: A certain restaurant offers 7 different salads, 5 different main courses, and 6 different desserts. If customers choose one salad, one main course, and two different desserts for their meal, how many different meals are possible?
Choices:
275
525
600
1200
Answer: B
Question: Because of the economic slowdown, a multinational company curtailed some of the allowances of its employees. John, the marketing manager of the company whose monthly salary has been reduced to Rs.42,000 is unable to cut more on his expenditure. He finds that there is a deficit of Rs.2,000 between his earning and expenses in the first month. This deficit, because of inflationary pressure, will keep on increasing by Rs.500 everymonth. John has a saving of Rs 60,000 which will be used to fill the deficit. After his savings get exhausted, John would start borrowing from his friends. How soon will he start borrowing?
Choices:
10th months
11th months
12th months
13th months
Answer: D
Question: The probability that a man will be alive for 10more yrs is 1/4 & the probability that his wife will alive for 10 more yrs is 1/3. The probability that none of them will be alive for 10 more yrs, is
Choices:
1/2
2/3
3/4
2
Answer: A
Question: If w < y < -1, which of the following is true?
Choices:
y/w > w+y
y/w > wy
y/w < w+y
y/w > w/y
Answer: A
Question: A rope of which a calf is tied is increased from 16 m to 23 m, how much additional grassy ground shall it graze?
Choices:
1219
1210
1212
858
Answer: D
Question: How many numbers from 19 to 79 are exactly divisible by 11?
Choices:
6
9
11
12
Answer: A
Question: Miller Street begins at Baker Street and runs directly east for 4.5 kilometers until it ends when it meets Turner Street. Miller Street is intersected every 250 meters by a perpendicular street, and each of those streets other than Baker Street and Turner Street is given a number beginning at 1st Street (one block east of Baker Street) and continuing consecutively (2nd Street, 3rd Street, etc...) until the highest-numbered street one block west of Turner Street. What is the highest-numbered street that intersects Miller Street?
Choices:
16th
17th
18th
19th
Answer: B
Question: Faiza has 9 purses, she gives 3 purse as gift. Now how many purse did she have?
Choices:
6
11
9
4
Answer: A
Question: A lawyer's representation costs $150 for the first hour and $125 for each additional hour. What is the total cost, in dollars, of her representation for m hours, where m is an integer greater than 1?
Choices:
150 + 125( m – 1)
125 + 150 m
125 + 150( m – 1)
275( m – 1)
Answer: A
Question: One year ago the ratio between Samir and Ashok’s age was 4:3. One year hence the ratio of their ages will be 5 :4. What is the sum of their present ages in years?
Choices:
15 years
16 years
Cannot be determined
none of these
Answer: B
Question: A certain company has 18 equally qualified applicants for 4 open positions. How many different groups of 4 applicants can be chosen by the company to fill the positions if the order of selection does not matter?
Choices:
72
180
1,260
3,060
Answer: D
Question: What is the square root of 0.16
Choices:
0.4
0.004
4
1
Answer: A
Question: What is the rate percent when the simple interest on Rs.4000 amount to Rs.320 in 2 Years?
Choices:
4%
4.2%
4.3%
4.5%
Answer: A
Question: When n is divided by 20, the remainder is 5. What is the remainder when n + 16 is divided by 5?
Choices:
1
4
5
6
Answer: A
Question: The ratio of a compound, by weight, consisting only of substances x, y, and z is 4:6:10,
respectively. Due to a dramatic increase in the surrounding temperature, the composition of the
compound is changed such that the ratio of x to y is halved and the ratio of x to z is tripled. In the
changed compound, if the total weight is 174 lbs, how much does substance x weigh?
Choices:
36
24
12
10
Answer: A
Question: In how many years, Rs. 200 will produce the same interest at 6% as Rs. 800 produce in 2 years at 4½% ?
Choices:
6 years
8 years
9 years
12 years
Answer: A
Question: On one side of a coin there is the number 0 and on the other side the number 1. What is the probability that the sum of three coin tosses will be 0 ?
Choices:
1/8
1/5.
3/8.
1/3.
Answer: A
Question: At a party, there were five ten as many females as males and four times as many adults as children. Which of the following could be the number of people at the party?
Choices:
258
216
120
72
Answer: C
Question: Every disk in a bag is either blue, yellow or green. The ratio of blue disks to yellow disks to green disks in this bag is 3 : 7 : 8. If the total number of disks in the bag is 144, how many more green disks than blue disks are in the bag?
Choices:
28
30
35
40
Answer: D
Question: What approximate value should come in place of the question mark (?) in the following equation?
8.539 + 16.84 × 6.5 ÷ 4.2 = ?
Choices:
42
44
35
None of these
Answer: C
Question: In a graduating class of 233 students, 144 took geometry and 119 took biology. What is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology?
Choices:
114
113
88
31
Answer: A
Question: A pupil’s marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half. The number of pupils in the class is:
Choices:
20
40
73
50
Answer: B
Question: A group of medical interns at Bohemus Medical School want to go on dates. There are 8 girls and 8 guys. Assuming girls go on dates with guys, how many possible ways can these 16 medical interns date each other?
Choices:
B)37320
C)38320
D)39320
E)40320
Answer: D
Question: Find the invalid no.from the following series 2,3,12,37,86,166,288
Choices:
145
166
173
187
Answer: B
Question: In what ratio must water be added to 10 litres of milk at Rs.20 per litre so that cost of mixture is Rs.16 per litre?
Choices:
1:4
2:3
4:1
4:3
Answer: A
Question: If xy ≠ 0 and x^2y^2 − 2xy = 24, which of the following could be y in terms of x?
I. 6/x
II. -4/x
III. 1/x
Choices:
II only
I and II only
I and III
II and III
Answer: B