antoine-444/aqua_rat_dataset huggingface dataset:
Question: The ratio of number of students studying Arts, Commerce and Science in a College is 3 : 5 :4. What is the new ratio of the number of students studying Arts, Commerce and Science respectively if there is an increase of 20%, 40% and 25% in the number of students studying Arts, Commerce and Science?
Choices:
3 : 10 : 10
4 : 8 : 5
8 : 35 : 25
None of these
Answer: C
Question: The ratio of money with Ram and Gopal is 7 : 17 and that with Gopal and Krishan is 7: 17. If Ram has Rs. 539, Krishan has ?
Choices:
s. 2330
s. 1190
s. 1620
s. 3179
Answer: D
Question: Find the Missing Number 1, 5, 13, 25, ?
Choices:
41
23
26
29
Answer: A
Question: Lucy deposited $62500 in an investment fund that provided 22 percent annual return compounded quarterly. If she made no other transactions with the fund, in how much time, in years, did her investment earn a total interest of $5100?
Choices:
1/7
3
6
6.1
Answer: A
Question: What is the greatest prime factor of 5^6 - 1?
Choices:
31
37
41
43
Answer: A
Question: Which of the following inequalities has a solution set, when graphed on the number line, is a single line segment of finite length?
Choices:
2 <= 34x+4 <= 6
2 <= 3x+4 <= 6
2 <= 3465x+4 <= 6
2 <= 346x+4 <= 6
Answer: B
Question: In a series of eight football matches between Germany and Argentina , the probability of Germany winning a match is 1/3 and the probability that the match ends in a draw is 1/4. If a win gets the team 2 points, a draw 1 point and a loss 0 Points, What is the probability that Germany will end up in 8 draws in the series?
Choices:
125/864
1/25
1/65536
1/5
Answer: C
Question: The perimeter of a rectangle is equal to the perimeter of aright-angled triangle of height 12 cm. If the base of the triangle is equal to the breadth of the rectangle, what is the length of the rectangle”
Choices:
24 cm
22 cm
Data inadequate
None of these
Answer: C
Question: At a meeting, 25 attendants used a pencil and 15 attendants used a pen. If exactly 20 attendants used only one of the two types of writing tools, how many attendants wrote with both types of writing tools?
Choices:
10
7
4
14
Answer: A
Question: A numberais squared and then multiplied by negative 3. The result of this operation E 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: There are 10person among whom 2are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1person sit between the brothers, is equal to?
Choices:
7!*2!
6!*3!
5!*2!
8!*3!
Answer: A
Question: A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
Choices:
26
25
21
20
Answer: D
Question: Two stations A and B are 65 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
Choices:
9
11
12
8
Answer: A
Question: A completes a work in 6 days and B complete the same work in 12 days. If both of them work together, then the number of days required to complete the work will be
Choices:
9 days
10 days
12 days
4 days
Answer: D
Question: If the population of a certain country increases at the rate of Two person every 60 seconds, by how many persons does the population increase in 100 minutes?
Choices:
150
240
220
200
Answer: D
Question: A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is:
Choices:
4
12
9
27
Answer: C
Question: The average age of a husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:
Choices:
19
20
25
17
Answer: A
Question: Rectangle ABCD is constructed in the coordinate plane parallel to the x- and y-axes. If the x- and y-coordinates of each of the points are integers which satisfy 2 ≤ x ≤ 11 and -5 ≤ y ≤ 5, how many possible ways are there to construct rectangle ABCD?
Choices:
1260
2475
7920
15840
Answer: B
Question: The average monthly income of P and Q is Rs. 2050. The average monthly income of Q and R is Rs. 5250 and the average monthly income of P and R is Rs. 6200. The monthly income of P is:
Choices:
3000
4000
4050
3100
Answer: A
Question: The number which exceeds 16% of it by 42 is?
Choices:
50
52
58
60
Answer: A
Question: Rs.1430 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share?
Choices:
s.542
s.528
s.540
s.660
Answer: D
Question: There are 5 more women than there are men on a local co-ed softball team. If there are a total of 15 players on the team, what is the ratio of men to women?
Choices:
6/16
5/10
6/10
4/10
Answer: B
Question: In how many ways 8 different tickets R can be distributed between Jane and Bill if each is to receive any even number of tickets and all 8 tickets to be distributed.
Choices:
From 98 to 102 inclusive.
From 122 to 126 inclusive.
From 128 to 132 inclusive.
From 196 to 200 inclusive.
Answer: C
Question: Three numbers are in the ratio 3:4:5 and their L.C.M. is 1200. Their H.C.F is?
Choices:
20
40
50
60
Answer: A
Question: A is a working partner and B is a sleeping partner in the business. A puts in Rs.15000 and B Rs.25000, A receives 10% of the profit for managing the business the rest being divided in proportion of their capitals. Out of a total profit of Rs.9600, money received by A is?
Choices:
4202
4209
4200
42012
Answer: C
Question: Running at their respective constant rate, machine X takes 2 days longer to produce w widgets than machines Y. AT these rates, if the two machines together produce 5w/4 widgets in 3 days, how many days would it take machine X alone to produce 3w widgets.
Choices:
6
18
10
12
Answer: B
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 120 m and they cross each other in 12 sec, then the speed of each train is?
Choices:
88 km/hr
36 km/hr
99 km/hr
45 km/hr
Answer: B
Question: An event manager has ten patterns of chairs and eight patterns of tables. In how many chairs can he make a pair of table and chair?
Choices:
120
60
80
90
Answer: C
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 60 questions and secures 120 marks, the no of questions he attempts correctly is :
Choices:
36
40
42
44
Answer: A
Question: There are 5 locks and 5 keys and each of the 5 keys matches each of the 5 locks. What is the minimum and the maximum trial numbers of attempts W needed to confirm that each of the 5 keys matches each of the 5 locks?
Choices:
4,15
5,10
4,10
5,20
Answer: C
Question: The monthly incomes of A and B are in the ratio 5 : 2. B's monthly income is 12% more than C's monthly income. If C's monthly income is Rs. 17000, then find the annual income of A?
Choices:
Rs. 571200
Rs. 201600
Rs. 504000
None of these
Answer: A
Question: Suppose you want to arrange your English, Hindi, Mathematics, History, Geography and Science books on a shelf. In how many ways can you do it?
Choices:
710
720
740
750
Answer: B
Question: After the recall of defective by Telvin inc 2 years ago, its share price has since lost 12%. However, after the launch of its new product 1 year ago its stock price has appreciated by 6%, bringing its share price to $25. What was its share price 2 years ago?
Choices:
26.8
56.6
27.2
25.7
Answer: A
Question: A "word" is defined as a sequence of three dots arranged in a row. Each dot is colored either yellow or blue. How many distinct words can be formed?
Choices:
5
6
8
9
Answer: C
Question: Which of the following is the lowest positive integer that is divisible by the first 8 positive integer multiples of 3?
Choices:
2120
2520
2920
3320
Answer: B
Question: A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Choices:
1000
2778
2788
2991
Answer: A
Question: A pupil's marks were wrongly entered as 83 instead of 53. Due to the average marks for the class got increased by half. The number of pupils in the class is?
Choices:
82
60
27
29
Answer: B
Question: What comes next in the sequence?
4, 2, 4, 8, 6, 8, 16
Choices:
16
4
18
8
Answer: C
Question: Shelly rows 4m kilometers downstream at 6x kilometers per hour. Then she turns around and rows m/6 kilometers upstream at 2x kilometers per hour. What is Shelly's average rowing speed in kilometers per hour during the entire journey?
Choices:
50x/9
50/9
50m/9
50mx/9
Answer: A
Question: 2 pipes can separately fill a tank in 20hrs and 30hrs respectively. Both the pipes are opened tofill the tank, a leak develops in the tank through which one-third of water supplied by both the pipes goes out. What is the total time taken to fill the tank?
Choices:
12 hrs
16 hrs
18 hrs
20 hrs
Answer: B
Question: A truck covers a distance of 392 km at a certain speed in 8 hours. How much time would a car take at an average speed which is 18 kmph more than that of the speed of the truck to cover a distance which is 70 km more than that travelled by the truck ?
Choices:
5 hours
7 hours
8 hours
None
Answer: B
Question: If k^2 = n^2, which of the following must be true?
Choices:
k = -m
|k| = |n|
k = -|m|
k = |m|
Answer: B
Question: 36 people attend a party. 7 men are single and the rest are there with their wives. There are no children in the party. In all 22 women are present. Then the number of married men at the party is ?
Choices:
7
5
8
9
Answer: A
Question: A train 250 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
Choices:
95
12
13
67
Answer: A
Question: Townville has 100 residents, and 30 of them are females. If half of Townville’s male residents are smokers, and 1/3 of the female residents are smokers, which of the following represents the total number of Townville’s residents who are NOT smokers?
Choices:
55
25
22
21
Answer: A
Question: The ratio of investments of A, B and C is 5:6:7. If they share the profit in the ratio of 5:9:21, then find the ratio of their periods of investments.
Choices:
2:3:6
3:2:4
2:4:3
2:5:3
Answer: A
Question: 23 people are there, they are shaking hands together, how many hand shakes possible, if they are in pair of cyclic sequence.
Choices:
23
44
45
46
Answer: A
Question: Jaime earned enough money by selling seashells at 35 cents each to buy several used paperback books at 55 cents each. If he spent all of the money he earned selling seashells to buy the books, what is the least number of seashells he could have sold ?
Choices:
11
17
22
30
Answer: C
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 60 metres?
Choices:
27
12
99
14
Answer: B
Question: How many ways are there to award a gold, silver and bronze medal to 12 contending teams?
Choices:
12 x 11 x 10
10!/3!
360
300
Answer: A
Question: Points M(5,2) and N(5,8) lie on the xy - plane. What is the midpoint of line segment MN?
Choices:
(0,5)
(0, (136^(1/2))/2)
(3/2,0)
(5,5)
Answer: D
Question: Half of 5 percent written as decimal is
Choices:
0.025
0.015
0.005
None of these
Answer: A
Question: If 21,394 + x is a multiple of 3, which of the following could be the value of x?
Choices:
2
3
4
6
Answer: A
Question: Emily has a cylindrical water bottle that can hold 1000π cubic centimeters of water. Right now,
the bottle is holding 100π cubic centimeters of water, and the height of the water is 1 centimeter.
Compute the radius of the water bottle.
Choices:
10
15
22
13
Answer: A
Question: A randomly selected sample population consists of 60% women and 40% men. 90% of the women and 15% of the men are colorblind. For a certain experiment, scientists will select one person at a time until they have a colorblind subject. What is the approximate probability of selecting a colorblind person in no more than three tries?
Choices:
95%
80%
75%
60%
Answer: A
Question: The average of 6 no.'s is 3.95. The average of 2of them is 3.4, while the average of theother 2 is 3.85. What is the average of the remaining 2 no's?
Choices:
4.4
4.6
5.6
5.7
Answer: B
Question: For which of the following values of n is (200+n)/n NOT an integer?
Choices:
2
3
4
5
Answer: B
Question: If x is negative and y is positive, which of the following cannot be positive?
Choices:
x/-y
-xy
x*(-y)
x^3*y
Answer: D
Question: What is the smallest number which when increased by 3 is divisible by 12, 15, 35, and 40?
Choices:
837
1027
1155
1231
Answer: A
Question: The fourth proportional to 12, 14 and 18 is?
Choices:
21
77
88
99
Answer: A
Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 30 seconds. Its length is?
Choices:
876 m
251 m
200 m
145 m
Answer: C
Question: A car drives 60 miles on local roads at 20 mph, and 195 miles on the highway at 65 mph, what is the average speed of the entire trip?
Choices:
40 mph
44 mph
43 mph
58 mph
Answer: C
Question: A certain airline's fleet consisted of 100 type A planes at the beginning of 1980. At the end of each year, starting with 1980, the airline retired 3 of the TYPE A planes and acquired 4 new type B plans. How many years did it take before the number of type A planes left in the airline's fleet was less than 50 percent of the fleet?
Choices:
15
16
17
18
Answer: A
Question: Find the next number in the Sequence
5, 16, 49, 104, ?
Choices:
224
133
181
231
Answer: C
Question: In the xy-plane, a line has slope 3 and x-intercept 5. What is the y-intercept of the line?
Choices:
-15
0
3
9
Answer: A
Question: 100 identical coins, each with probability P of showing 'heads' are tossed once. If 0<P<1 and the probability of 'heads' showing on 50 coins is equal to that of 'heads' showing on 50 coins, then find the value of P.
Choices:
51/101.
32/81
None of these
Cannot be determined
Answer: A
Question: At what rate percent on simple interest will a sum of money double itself in 30 years?
Choices:
3 1/3%
3 9/3%
3 2/3%
3 6/3%
Answer: A
Question: The present average age of a family of five members is 26 years. If the present age of the youngest member in the family is ten years, then what was the average age of the family at the time of the birth of the youngest member ? (Assume no death occurred in the family since the birth of the youngest)?
Choices:
29 years
20 years
26 years
21 years
Answer: B
Question: Car X began traveling at an average speed of 35 miles per hour. After 72 minutes, car Y began traveling at an average speed of 50 miles per hour. When both cars had traveled the same distance, both cars stopped. How many miles did car X travel from the time car Y began traveling until both cars stopped?
Choices:
120
140
147
98
Answer: D
Question: A boat goes 100 km downstream in 10 hours, and 75 Km upstream in 25 hours. The speed of the stream is?
Choices:
6
5
3.5
4.5
Answer: C
Question: If (y - 4)(z - 8) + 9(z - 8) = 0, then which of the following must be true?
Choices:
y = -4 or z = 8
y = -4 or z = 3
y = 1 and z = 3
y = 1 or z = 3
Answer: A
Question: A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is
Choices:
25/42
25/49
25/47
25/44
Answer: A
Question: How many distinct integer values of n satisfy the inequality||n-3| + 4| ≤ 15?
Choices:
16
17
18
13
Answer: D
Question: The area of a square is 4356 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
Choices:
5:19
7:12
5:13
7:22
Answer: D
Question: A wheel has a diameter of x inches and a second wheel has a diameter of y inches. The first wheel covers a distance of d feet in 1000 revolutions. How many revolutions does the second wheel make in covering d feet?
Choices:
1000x/y
1000x - y
1000y/x
1000y - x
Answer: A
Question: The average marks of a class of 25 students is 50 and that of another class of 40 students is 65. Find the average marks of all the students?
Choices:
52.4
52.1
59
52.9
Answer: C
Question: The speed of a train is 60 kmph. What is the distance covered by it in 20 minutes?
Choices:
22 kmph
20 kmph
23 kmph
24 kmph
Answer: B
Question: A car covers a distance of 624 km in 4 hours. Find its speed?
Choices:
156
271
276
128
Answer: A
Question: The sum of the present ages of two persons A and B is 60. If the age of A is twice that of B, find the sum of their ages 5 years hence?
Choices:
70
25
30
40
Answer: A
Question: Reduce
368/598
to the lowest terms
Choices:
28/13
28/29
8/13
None of these
Answer: C
Question: A Complany provides health insurance that pays 50.0% of the cost, with a $180.00 deductible. This means that the employees pays the first $180.00, after which the insurance company pays 150.0%. How much will an employee pay if his total medical bill is $1400.00?
Choices:
$790
$770
$760
$750
Answer: A
Question: In a school of 700 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
Choices:
126
153
143
133
Answer: A
Question: The sum of the mean, the median, and the range of the set {1,5,6} equals which one of the following values?
Choices:
12
14
17
20
Answer: B
Question: If we have 9 people in a meeting, in how many ways they can sit around a table?
Choices:
9*8!
8*7!
7*6!
6*5!
Answer: B
Question: At a dinner party, 3 people are to be seated around a circular table. 2 seating arrangements are considered different only when the positions of the people are different relative to each other. what is the total number of different possible seating arrangements for the group?
Choices:
2
24
32
120
Answer: A
Question: Of the people who responded to a market survey, 60 preferred Brand X and the rest preferred Brand Y. If the respondents indicated a preference for Brand X over Brand Y by ratio of 3 to 1, how many people responded to the survey?
Choices:
80
240
360
480
Answer: A
Question: A solution of 70 litres contains oil and water in the ratio 9:x. If six litres of water is added to the solution, the ratio becomes 6:4, find the value of x?
Choices:
8.5
9
6.5
5
Answer: D
Question: A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 54 years now, the son's age 8 years back was?
Choices:
19yr
14yr
10yr
20yr
Answer: A
Question: If in a kindergarten class, there are five children 3 feet 4 inches tall (indicated by notation 3'4"), two children 4'3" tall and thirteen children 2'8" tall, which of the following is the median height of the children?
Choices:
2'8"
3'3"
3'4"
4'3
Answer: A
Question: Mother,her daughter and her grand child weighs 130 kg. daughter and her daughter(child) weighs 60 kg. child is 1/5th of her grand mother. What is the age of the daughter?
Choices:
46
48
49
50
Answer: A
Question: If 6 (A's capital) = 8 (B's capital) = 14 (C's capital). Then the ratio of their capitals is?
Choices:
20:15:68
28:21:12
28:15:11
28:15:19
Answer: B
Question: Company X sells a selection of products at various price points. Listed below are unit sales made for one particular day. How many unit sales on that day were greater than the mean sale price but less than the median sale price?
$50, $50, $97, $97, $97, $120, $125, $155, $199, $199, $239
Choices:
1
2
3
4
Answer: A
Question: What is the sum of all remainders obtained when the first 200 natural numbers are divided by 9?
Choices:
401
403
405
399
Answer: A
Question: 40 persons like apple. 7 like orange and mango dislike apple. 10 like mango and apple and dislike orange. 6 like all. How many people like apple?
Choices:
49
54
58
62
Answer: A
Question: If 20% of a number = 100, then 120% of that number will be?
Choices:
120
360
600
820
Answer: C
Question: A bag contains 5 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is
Choices:
2/5
3/5
11/15
19/39
Answer: D
Question: FOG + FOG + FOG + FOG = 1448.
If F,O and G are digits in a three-digit number in the preceding equation the F + O + G = ?
Choices:
11
13
14
15
Answer: A
Question: what will be the unit value of 0!*1!*6!-5!?
Choices:
3
0
1
2
Answer: B
Question: Find the area of a parallelogram with base 12 cm and height 18 cm.
Choices:
216
345
244
242
Answer: A
Question: In a group of hats consisting of only blue hats, green hats, and purple hats, the ratio of blue hats to green hats to purple hats is 7:4:12. If there are a total of 184 hats in this group, how many of these hats are not blue?
Choices:
42
48
128
76
Answer: C
Question: Find the L.C.M of 32,84,126
Choices:
2018
5032
1008
2016
Answer: D
Question: A hostel had provisions for 250 men for 40 days. If 50 men left the hostel, how long will the food last at the same rate?
Choices:
50 days
45 days
60 days
None of these
Answer: A
Question: Barbara has 8 shirts and 5 pants. How many clothing combinations does Barbara have, if she doesn’t wear 2 specific shirts with 3 specific pants?
Choices:
24
36
70
56
Answer: A
Question: Two pipes A and B can fill a cistern in 37 1/2 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the pipe B is turned off after?
Choices:
9
6
4
1
Answer: A
Question: The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?
Choices:
2000
2299
2778
2771
Answer: A
Question: Of the three-digit integers greater than 600, how many have two digits that are equal to each other and the remaining digit different from the other two?
Choices:
82
80
75
36
Answer: C
Question: At a local appliance manufacturing facility, the workers received a 15% hourly pay raise due to extraordinary performance. If one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked?
Choices:
13%
20%
17%
12%
Answer: A
Question: X can do a piece of work in 40days. He works at it for 8days and then Y finished it in 32 days. How long will Y take to complete the work?
Choices:
40
15
18
20
Answer: A
Question: A train 150 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?
Choices:
236
350
299
266
Answer: B
Question: 8, 24, 12, 36, 18, 54, (....)
Choices:
27
107
108
28
Answer: A
Question: Mixture of milk & water has been kept in two separate bowl. Ratio of milk to water in one of the bowls is 5 : 1 and that in the other bowl 7 : 2. In what ratio the mixtures of these 2 bowl should be added together so that the quantity of milk in the new mixture may become 80%?
Choices:
2:3
4:5
5:7
6:11
Answer: A
Question: If Q is a negative integer, which of the following must be a negative integer?
Choices:
Q/2+3
Q^4
Q – y
Q^11
Answer: D
Question: When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 3 times, what is the probability that it will land on the same side each time?
Choices:
1/4
1/3
3/8
1/2
Answer: A
Question: Samantha's investment portfolio consists of three stocks: an airline, a bank, and a computer company. In the month of February, the price of the airline's stock rose by 10%, that of the bank decreased by 10% and that of the computer company also decreased by 15%, but the overall value of her portfolio increased. If Samantha owns equal amounts of all three stocks, which of the following could be the initial prices of the three stocks in the order airline, bank, and computer company respectively?
Choices:
$65, $60, $60
$85, $55, $45
$85, $25, $20
$25, $60, $70
Answer: B
Question: A customer pays 70 dollars for a coffee maker after a discount of 20 dollars
What is the original price of the coffe maker?
Choices:
B)$60
C)$70
D)$80
E)$90
Answer: D
Question: 27 men working 8 hours per day dig 30 m deep. How many extra men should be put to dig to a depth of 50 m working 6 hours per day?
Choices:
33
88
100
281
Answer: A
Question: We run a business that rents out canoes and kayaks. A canoe rental costs $15 per day, and a kayak rental costs $18 dollars per day. One day, our business rents out 3 canoes for every 2 kayaks and receives a total of $405 in revenue. How many more canoes than kayaks were rented out?
Choices:
5
7
8
9
Answer: A
Question: The present age of a father is 3 years more than three times the age of his son.Three years hence,father as age will be 10 years more than twice the age of the son.Find the present age of the father.
Choices:
77
33
44
55
Answer: B
Question: What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for two years?
Choices:
27773
29989
28800
23400
Answer: D
Question: An article is bought for Rs.600 and sold for Rs.500, find the loss percent?
Choices:
16 6/3%
76 2/3%
16 2/3%
96 2/3%
Answer: C
Question: A family made a down payment of $100
and borrowed the balance on a set of
encyclopedias that cost $400. The
balance with interest was paid in 20
monthly payments of $17.2 each and a
final payment of $3. The amount of
interest paid was what percent of the
amount borrowed?
Choices:
12%
14%
15.6%
20%
Answer: C
Question: During a trip, Francine traveled x percent of the total distance at an average speed of 30 miles per hour and the rest of the distance at an average speed of 60 miles per hour. In terms of x, what was Francine's average speed for the entire trip?
Choices:
(x+60)/4
4800/x+100
600/(115-x)
12,000/(x+200)
Answer: B
Question: A train 1000 m long passed a pole in 20 sec. How long will it take to pass a platform 500 m long?
Choices:
24
26
28
30
Answer: D
Question: The average of five results is 48 and that of the first four is 45. The fifth result is?
Choices:
60
70
80
90
Answer: A
Question: In what time will a train 150 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
4.25 sec
3.75 sec
12.5 sec
6 sec
Answer: B
Question: A train 800 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
500 m
267 m
181 m
Answer: B
Question: If xy = 5 and x^2 + y^2 = 15, then x/y + y/x =
Choices:
5
5 1/3
7
60
Answer: A
Question: Missing number in the series
4 9 20 43 90 185 376 759?
Choices:
1850
1900
1950
1526
Answer: D
Question: A certain school principal must choose 5 students to attend a field trip out of a group of 12 students. In addition, out of the 5 chosen students, the principal must select a note-taker and a treasurer. How many different ways are there for the principal to select the 5 students and then select the treasurer and the note-taker?
Choices:
2,520
15,840
6,020
10,080
Answer: B
Question: In doing a division of a question with zero remainder, a candidate took 12 as divisor instead of 21. The quotient obtained by him was 35. The correct quotient is
Choices:
12
13
20
None
Answer: C
Question: In how many different ways can 7 identical green shirts and 7 identical red shirts be distributed among 14 children such that each child receives a shirt?
Choices:
87178291200
8717829
871782
87178
Answer: A
Question: A store sells five different kinds of shirts. If we want to buy two different kinds of shirts, how many possible combinations of two shirts can we buy?
Choices:
8
10
12
14
Answer: B
Question: The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
Choices:
277
342
291
112
Answer: B
Question: In a group of 800 people, 1/5 play at least one instrument, 32 play two or more. What is the probability that one student play exactly one instrument?
Choices:
4/25
C)2/25
3/25
1/5
Answer: A
Question: A bank pays interest to its customers on the last day of the year. The interest paid to a customer
is calculated as 10% of the average monthly balance maintained by the customer. John is a
customer at the bank. On the last day, when the interest was accumulated into his account, his
bank balance doubled to $5080. What is the average monthly balance maintained by John in his
account during the year?
Choices:
5680
6840
25400
28400
Answer: C
Question: Compound interest of Rs.2000 at 10% per annum for 1 1/2years will be (interest compounded half yearly).
Choices:
Rs.374
Rs.495
Rs.315
None of the above
Answer: C
Question: he total marks obtained by a student in Physics, Chemistry and Mathematics is 170 more than the marks obtained by him in Physics. What is the average mark obtained by him in Chemistry and Mathematics?
Choices:
65
75
85
95
Answer: C
Question: There are two sections Y and Z of a class, consisting of 288 and 352 students respectively. If the average weight of sections Y is 320 kg and that of sections Z is 280 kg. Find the average weight of the whole class
Choices:
298.0
298.5
299.0
None
Answer: A
Question: In how many ways letters of the word RSCUPERATE be arranged?
Choices:
287578
4357809
437479
302400
Answer: D
Question: Of the 100 athletes at a soccer club, 40 play defense and 68 play midfield. If at least 20 of the athletes play neither midfield nor defense, the number of athletes that play both midfield and defense could be any number between
Choices:
10 to 40
28 to 40
30 to 70
40 to 70
Answer: B
Question: A group of n students can be divided into equal groups of 4 with 1 student left over or equal groups of 5 with 4 students left over. What is the sum of the two smallest possible values of n?
Choices:
34
38
42
46
Answer: B
Question: Each digit in the two-digit number G is halved to form a new two-digit number H. Which of the following could be the sum of G and H
Choices:
150
137
120
89
Answer: C
Question: In how many seconds will a train 150 meters long pass an oak tree, if the speed of the train is 54 km/hr?
Choices:
8
10
12
14
Answer: B
Question: A committee has 5 men and 4 women. What are the number of ways of selecting 2 men and 3 women from the given committee?
Choices:
40
882
272
323
Answer: A
Question: What do you get if you add 9 to 311 four times?
Choices:
310
327
320
309
Answer: C
Question: Mary's income is 60% more Than Tim's income and Tim's income is 50% less than Juan's income.What % of Juan's income is Mary's income.
Choices:
B.120%
96%
80%
64%
Answer: C
Question: What is the value of x^2yz − xyz^2, if x = 2, y = 1, and z =2?
Choices:
24
0
32
48
Answer: B
Question: Find the missing figures: 0.25% of ? = 0.04
Choices:
16
17
12
18
Answer: A
Question: The maximum number of girls among them 2923 bags and 3239 eyeliners can be distributed in such a way that each student gets the same number of bags and eyeliners.
Choices:
79
78
81
82
Answer: A
Question: When ticket sales began, Pat was the nth customer in line for a ticket, and customers purchased their tickets at the rate of z customers per minute. Of the following, which best approximates the time, in minutes, that Pat had to wait in line from the moment ticket sales began?
Choices:
n + z –1
n/(z-1)
z/(n-1)
(n-1)/z
Answer: D
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: Which of the following functions does not intersect with Q = 3x^2 + 2x + 1
Choices:
Q = 2x^2 + 3x + 1
Q = 3x^2 + 2x + 3
Q = 4x^2 + 2x - 3
Q = x^2 + 2x + 3
Answer: B
Question: A bike covers a certain distance at the speed of 64km/h in 8 hrs. If the bike was to cover the same distance in approximately 6 hrs, at what approximate speed should the bike travel?
Choices:
85.34 km/h
90.14 km/h
91.24 km/h
92 km/h
Answer: A
Question: The five sides of a pentagon have lengths of 2, 3, 4, 5 and 6 inches. Four pentagons are considered different only when the positions of the side lengths are different relative to each others. What is the total number of different possible pentagons that could be drawn using these five side lengths ?
Choices:
5
24
32
120
Answer: A
Question: 4 men or 6 women can do a piece of work in 20 days. In how many days will 12 men and 8 women do the same work?
Choices:
60/13 days
82/8 days
22/76 days
22/2 days
Answer: A
Question: A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes?
Choices:
8%
9%
4%
24%
Answer: C
Question: A thief is spotted by a policeman from a distance of 200 meters. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 8km/hr and that of the policeman 10 km/hr, how far the thief will have run before he is overtaken?
Choices:
200m
400m
800m
None of them
Answer: C
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:
4 3/9
4 3/8
4 3/4
4 3/1
Answer: B
Question: The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?
Choices:
21 : 22
17 : 18
12 : 20
Cannot be determined
Answer: A
Question: A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 1500. The difference between the profit shares of A and C is?
Choices:
266
299
600
261
Answer: C
Question: What is the perimeter of a square with area 4p^2/16 ?
Choices:
3p^2/4
2p
3p^2
4p/3
Answer: B
Question: In a store, the profit is 320% of the cost. If the cost increases by 25% but the SP remains constant, approximatelywhat %of the sp is the profit?
Choices:
70%
80%
90%
110%
Answer: A
Question: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?
Choices:
1718
1689
8112
1718
Answer: C
Question: The cost of 20 pens and 12 pencils is Rs.400 and the cost of 6 pens and 4 pencils is Rs.100. Find the cost of each pen?
Choices:
Rs.50
Rs.150
Rs.25
Rs.125
Answer: A
Question: In a shop, 40% socks are white and rest are black. 60% socks are made of cotton and rest are made of wool. 25% white socks are made of cotton and 20 of the black socks are made of wool. How many black socks X are made of cotton?
Choices:
100
60
50
25
Answer: A
Question: For which of the following functions f is f(b) = f(1-b) for all b?
Choices:
f (b) = 1 - b^2
f (b) = b^2 - (1 - b)^2
f (b) = b^2*(1 - b)^2
f (x) = x/(1 - x)
Answer: C
Question: The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs. 8748, its purchase price was:
Choices:
12000
14000
16000
18000
Answer: A
Question: In how many ways Chief Minister and Minister be elected from a team of 12 members?
Choices:
130
132
143
135
Answer: B
Question: The average of 7 numbers is 20. If each number be multiplied by 5. Find the average of new set of numbers?
Choices:
A)100
C)120
D)125
E)145
Answer: A
Question: A retailer buys 100 pens at the market price of 36 pens from a wholesaler, if he sells these pens giving a discount of 1%, what is the profit % ?
Choices:
175
212
218
220
Answer: A
Question: A searchlight on top of the watchtower makes 2 revolutions per minute. What is the probability that a man appearing near the tower will stay in the dark for at least 10 seconds?
Choices:
3/4
2/3
1/2
3/5
Answer: B
Question: The units digit of (35)^(87) + (3)^(45) is:
Choices:
8
6
9
0
Answer: A
Question: A light has a rating of 86 watts, it is replaced with a new light that has 18% higher wattage. How many watts does the new light have?
Choices:
95
80
60
101
Answer: D
Question: The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.50 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
Choices:
277
999
255
245
Answer: B
Question: A theater charges $12 for seats in the orchestra and $8 for seats in the balcony. On a certain night, a total of 370 tickets were sold for a total cost of $3,320. How many more tickets were sold that night for seats in the balcony than for seats in the orchestra?
Choices:
190
120
130
220
Answer: A
Question: A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream,it takes 4 hour.What is the speed of the boat in still water ?
Choices:
6 km/hr
8 km/hr
Data inadequate
None of these
Answer: A
Question: The batting average of a particular batsman is 60 runs in 46 innings. If the difference in his highest and lowest score is 190 runs and his average excluding these two innings is 58 runs, find his highest score.
Choices:
367
269
177
199
Answer: D
Question: An article is bought for Rs.600 and sold for Rs.500, find the loss percent?
Choices:
16 2/8%
16 3/3%
16 2/3%
16 2/6%
Answer: C
Question: A cube of side one meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?
Choices:
1029
1000
1028
1026
Answer: B
Question: Beginning in Town A, Biker Bob rides his bike 12 miles west, 6 miles north, 4 miles east, and then 12 miles north, to Town B. How far apart are Town A and Town B? (Ignore the curvature of the earth.)
Choices:
18.97 miles
22 miles
23 miles
25 miles
Answer: A
Question: The height of a triangle is decreased by 15% and its base increased by 50%. Its area will
Choices:
increase by 12.5%
decrease by 25%
Increase by 27.5%
None of these
Answer: C
Question: The X&co having such a sales structure out of their whole sales 70% of the customers are corporate companies out of these 20% of them are related to banking sector and 60% of the corporate companies related to banking sector having their head quarters in USA. If total sales of the company X&co is 100 cr then, what is sales amount of corporate companies related to banking sector having their head quarters in USA?
Choices:
7.0
6.3
3.6
8.4
Answer: D
Question: A cubical block of metal weighs 6 pounds. How much will another cube of the same metal weigh if its sides are twice as long?
Choices:
48
266
28
17
Answer: A
Question: Which of the following Equation is NOT equivalent to 25x^2 = y^2 - 25?Which of the following Equation is NOT equivalent to 25x^2 = y^2 - 4?
Choices:
75x^2 = 3y^2 - 12
5x = y - 5
25x^2 = (y + 2)(y - 2)
x^2 = (y^2 - 4)/25
Answer: B
Question: In how many different ways can pennies (1 cent), nickels (5 cents), dimes (10 cents), and quarters (25 cents) be combined for a total of $1.10 (110 cents), if at least one of each type of coin must be included?
Choices:
51
70
87
101
Answer: C
Question: What comes next?
120, 60, 40, 30, 24, ?
Choices:
20
25
28
30
Answer: A
Question: In a friendship gang Andrew has 8 gang, in how many ways can he invite one or more of the gang to his house?
Choices:
255
259
265
270
Answer: A
Question: 2598 Successive discounts of 20% and 15% are equal to a single discount of
Choices:
32%
34%
35%
36%
Answer: A
Question: The duplicate ratio of 4:5 is?
Choices:
1:4
1:8
1:18
16:25
Answer: D
Question: Seven children — A, B, C, D, E, F, and G — are going to sit in seven chairs in a row. Child A has to sit next to both BG, with these two children immediately adjacent to here on either side. The other four children can sit in any order in any of the remaining seats. How many possible configurations R are there for the children?
Choices:
240
720
1440
3600
Answer: A
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
58 m
78 m
80 m
Answer: A
Question: When running a mile during a recent track meet, Nuria was initially credited with a final time of 4 minutes, 44 seconds. Shortly after her run, officials realized that the timing mechanism malfunctioned. The stopwatch did not begin timing her until 11/25 of a minute after she began to run. If the time was otherwise correct, how long did it actually take Nuria to run the mile?
Choices:
5 minutes, 21.8 seconds
5 minutes, 43.56 seconds
5 minutes, 10.4 seconds
5 minutes, 44.44 seconds
Answer: C
Question: What number has a 3:4 ratio to the number 400?
Choices:
100
200
300
120
Answer: C
Question: My brother is 4 years elder to me. My father was 28 years of age when my sister was born while my mother was 26 years of age when I was born. If my sister was 5 years of age of when my brother was born, then, what was the age of my father and mother respectively when my brother was born?
Choices:
32 yrs, 29 yrs
35 yrs, 29 yrs
35 yrs, 22 yrs
none
Answer: C
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 36 hours respectively. The ratio of their speeds is?
Choices:
4:3
4:4
4:9
6:3
Answer: D
Question: AMOUNT OF BACTERIA PRESENT
Time Amount
1:00 P.M. 12.0 grams
4:00 P.M. x grams
7:00 P.M. 16.4 grams
Data for a certain biology experiment are given in the table above. If the amount of bacteria present increased by the same fraction during each of the two 3-hour periods shown, how many grams of bacteria were present at 4:00 P.M.?
Choices:
14.0
14.2
12.3
14.4
Answer: A
Question: The length of a rectangle is halved while its width is also halved. What is the % change in area?
Choices:
30%
50%
65%
75%
Answer: D
Question: In a rare coin collection, all coins are either pure gold or pure silver, and there is initially one gold coin for every three silver coins. With the addition of 10 more gold coins to the collection, the ratio of gold coins to silver coins is 1 to 2. Based on this information, how many total coins are there now in this collection (after the acquisition)?
Choices:
50
60
80
90
Answer: D
Question: Two trains travelling in the same direction at 50.8 and 14.8 kmph completely pass off another in 45 sec.. If the length of the first train is 112 m, what is the length of the second train?
Choices:
338 m
450 m
383 m
833 m
Answer: A
Question: A survey of n people in the town of Eros found that 50% of them preferred Brand A. Another survey of 150 people in the town of Angie found that 60% preferred Brand A. In total, 55% of all the people surveyed together preferred Brand A. What is the total number of people surveyed?
Choices:
100
150
300
250
Answer: C
Question: What is the are of an equilateral triangle of side 16 cm?
Choices:
64√4 cm2
64√3 cm2
62√3 cm2
14√3 cm2
Answer: C
Question: The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
Choices:
277
208
750
287
Answer: C
Question: A train speeds past a pole in 15 seconds and speeds past a platform 100 meters long in 25 seconds. Its length in meters is :
Choices:
70m
100m
120m
150m
Answer: D
Question: If the sides of a cube are in the ratio 4:3. What is the ratio of their diagonals?
Choices:
4:3
3:3
4:6
4:7
Answer: A
Question: A family consists of grandparents, parents and three grand children. The average age of the grandparents is 67 years, that of the parents is 40 years and that of the grandchildren is 6 years. What is the average age of the family?
Choices:
31 5â„7 years
33 1â„7 years
27 1â„2 years
None of these
Answer: B
Question: 80% of the population of a village is 64000. The total population of the village is?
Choices:
24000
80000
29973
12312
Answer: B
Question: In the xy-plane, a line has slope 5 and x-intercept 3. What is the y-intercept of the line?
Choices:
-15
0
3
9
Answer: A
Question: The greatest number by which the product of four consecutive multiples of 3 is always divisible is
Choices:
76
152
162
None of these
Answer: D
Question: What is the greatest prime factor of 1+2+3+。。。+60?
Choices:
61
31
37
41
Answer: A
Question: Three dice are rolled. The number of possible outcomes in which at least one dice shows 5 is
Choices:
36
125
91
None of these
Answer: C
Question: S is the set of all fractions defined by the formula n/(n + 1), where n is a positive integer less than 20. What is the product V of all the fractions that are in S?
Choices:
1) 1/20
3) 1/2
4) 19/40
5) 19/20
Answer: A
Question: A trader has 50 kg of pulses, part of which he sells at 14% profit and rest at 6% loss. On the whole his loss is 4%. How much quantity is sold at 14% profit and that at 6% loss?
Choices:
5 kg, 45 kg
10kg, 40 kg
None of these
Cannot be determined
Answer: A
Question: A,B and C can do a piece of work in 6,8 and 12 days respectively. In how many days would all of them complete the same job together?
Choices:
3 2/3 days.
2 2/3 days.
4 2/3 days.
1 2/3 days.
Answer: B
Question: A football team plays games only against the other five teams in its league and always in the following order: Smith, Jones, Glen, Fader, and Gary . If the team’s final game of the season is against Fader, which of the following could be the number of games in the team’s schedule?
Choices:
52
24
72
81
Answer: B
Question: If a monkey can climb 6 meter & slip down 3 meter in alternate minutes, than how much time can be taken by the monkey to climb up to a height of 60 meter.
Choices:
37 min
38 min
39 min
32 min
Answer: A
Question: Kiran travels from A to B by car and returns from B to A by cycle in 7 hours. If he travels both ways by car he saves 3 hours. What is the time taken to cover both ways by cycle?
Choices:
10 hours
19 hours
16 hours
27 hours
Answer: A
Question: An association of mathematics teachers has 1,260 members. Only 445 of these members cast votes in the election for president of the association. What percent of the total membership voted for the winning candidate if the winning candidate received 60 percent of the votes cast?
Choices:
58%
42%
34%
22%
Answer: D
Question: The value of 99^(95/99) x 99 is:
Choices:
9896
9890
9809
9810
Answer: A
Question: A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?
Choices:
1 kmph
8 kmph
9 kmph
3 kmph
Answer: A
Question: A company has a hierarchical system where for every 10 workers, there is one team lead, and for every 3 teams leads, there is one supervisor. If the company has 13 supervisors, how many workers does it have?
Choices:
321
390
500
130
Answer: B
Question: A car covers a distance of 180 km in 10 hrs. What is its speed in mps.
Choices:
5 m/s
20 m/s
15 m/s
16 m/s
Answer: A
Question: A fraction bears the same ratio to 1/27 as 3/7 does to 5/9. The fraction is?
Choices:
1/35
1/25
1/13
1/15
Answer: A
Question: If the tens digit of positive integer x is 5 and the tens digit of positive integer y is 5, how many possible values of the tens digit of 2(x+y) can there be?
Choices:
3
4
5
6
Answer: B
Question: A began business with 1000 and is joined afterwards by B with 6000. When did B join, if the profits at the end of the year are divided equally?
Choices:
9 months
10 months
2 months
None of these
Answer: C
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:
Remains same
7% decrease
2% decrease
3% decrease
Answer: A
Question: A box contains either blue or red flags. The total number of flags in the box is an even number. A group of children are asked to pick up two flags each. If all the flags are used up in the process such that 60% of the children have blue flags, and 65% have red flags, what percentage of children have flags of both the colors?
Choices:
10%
15%
20%
25%
Answer: D
Question: Which of the following is equivalent to the pair of inequalities x + 7 > 10 and x - 1 <= 5 ?
Choices:
2 <= x < 4
3 < x <= 6
4 < x <= 8
4 <= x <= 16
Answer: B
Question: Ramu bought an old car for Rs. 40000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?
Choices:
22.5
18
99
88
Answer: A
Question: A room has equal number of men and women. Eight women left the room, leaving twice as many men as women in the room . What was the total number of men and women present in the room initially?
Choices:
32
28
30
36
Answer: A
Question: Selling an kite for Rs. 30, a shop keeper gains 40%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is?
Choices:
10%
11%
15%
26%
Answer: D
Question: On June 1 a bicycle dealer noted that the number of bicycles in stock had decreased by 4 for each of the past 5 months. If the stock continues to decrease at the same rate for the rest of the year, how many fewer bicycles will be in stock on december 1 than were in stock on January 1?
Choices:
12
20
44
36
Answer: C