antoine-444/aqua_rat_dataset huggingface dataset:
Question: There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:
Choices:
80
100
200
none
Answer: B
Question: In one day, Juan sends Keith five times as many messages as he sends Laurence, and Laurence sends Missy 4.5 times as many messages as he receives from Juan. If Missy received 18 messages from Laurence, how many messages does Keith receive from Juan?
Choices:
12
16
18
20
Answer: D
Question: A train travels from Albany to Syracuse, a distance of 120 miles, at the average rate of 30 miles per hour. The train then travels back to Albany from Syracuse. The total travelling time of the train is 6 hours . What was the average rate of speed of the train on the return trip to Albany?
Choices:
38
60
50
40
Answer: B
Question: Andrew travelling to 7 cities. Gasoline prices varied from city to city. $1.75, $1.61, $1.79, $2.11, $1.96, $2.09, $1.86. What is the median gasoline price?
Choices:
$1.86
$1.92
$2.13
$2.15
Answer: A
Question: Julie wants to play chess with her friends. She have 6 friends. What are the possible ways to select friends to play with her?
Choices:
3
6
2
11
Answer: B
Question: Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the game remainder in each case. Then sum of the digits in N is :
Choices:
4
6
8
9
Answer: A
Question: How many seconds will a 600 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
36
99
77
12
Answer: A
Question: If Jake loses 33 pounds, he will weigh twice as much as his sister. Together they now weigh 153 pounds. What is Jake's present weight, in pounds?
Choices:
135
113
147
188
Answer: B
Question: If A : B : C = 2 : 3 : 4, then A⁄B : B⁄C : C⁄A is equal to :
Choices:
8 : 9 : 12
8 : 9 : 16
8 : 9 : 24
None
Answer: C
Question: In a division sum, the divisor is 5 times the quotient and two times the remainder. If the remainder is 40, then the dividend is
Choices:
1320
1395
1367
None of these
Answer: A
Question: If 200!/10^n is an integer, what is the largest possible value of n?
Choices:
42
44
48
49
Answer: D
Question: Sandy bought 65 books for $1480 from one shop and 55 books for $920 from another shop. What is the average price that Sandy paid per book?
Choices:
$18
$99
$27
$20
Answer: D
Question: If x^2+(1/x^2)=5, x^4+(1/x^4)=?
Choices:
11
23
14
15
Answer: B
Question: The area of a circular field is 13.86 hectares. Find the cost of fencing it at the rate of Rs. 4.90 per metre.
Choices:
3888
2999
5808
6468
Answer: D
Question: In a drawer of shirts 8 are blue, 6 are green and 4 are magenta. If Mason draws 2 shirts at random, what is the probability T at least one of the shirts he draws will be blue?
Choices:
28/153
5/17
4/9
T=12/17
Answer: D
Question: At 12:00 a.m., Tom begins traveling on a certain bike path from Riverdale at a constant rate of 10 mph. If, at 4:00 p.m., Jim begins traveling from Riverdale on the same path at a constant rate of 20 mph, at what time will he catch up to Peter?
Choices:
6:00 p.m.
7:00 p.m.
8:00 p.m.
9:00 p.m.
Answer: C
Question: The perimeter of a triangle is 48 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Choices:
28 cm2
98 cm2
26 cm2
60 cm2
Answer: D
Question: When 8% of a number is added to the number itself the result is 810. What is the number?
Choices:
750
288
270
712
Answer: A
Question: John bought 2 shares and sold them for $95 each. If he had a profit of 20% on the sale of one of the shares but a loss of 20% on the sale of the other share, then on the sale of both shares John had
Choices:
a profit of $8
a loss of $8
a loss of $10
neither a profit nor a loss
Answer: C
Question: The salary of Mr. X is 30% more than that of Mr. Y . Find what percent of Mr. Y’s salary is less than Mr. X’s?
Choices:
23 9/3%
23 1/3%
28 1/3%
21 1/3%
Answer: B
Question: The 7th grade French and Spanish classes each have 26 students in them, and there are nine students in the 7th grade taking both languages. If everyone in the 7th grade is in at least one of the two language classes, how many students are taking just one of the two classes?
Choices:
28
30
32
34
Answer: D
Question: A fair coin is to be tossed twice and an integer is to be selected at random from one of the integers 3, 8, and 10. What is the probability that at least one head is tossed and an even integer is selected?
Choices:
1/4
1/3
1/2
7/12
Answer: C
Question: Elizabeth bought a dress with a 35% off coupon. If the dress cost her $87.61, what is the original selling price of the dress?
Choices:
$134.78
$118.27
$87.61
None of these.
Answer: A
Question: In a set of numbers from 100 to 400 inclusive, how many integers are odd and do not contain the digit 5?
Choices:
180
286
288
324
Answer: A
Question: How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Choices:
77 sec
25 sec
18 sec
17 sec
Answer: B
Question: A discount of 20 percent on an order of goods followed by a discount of 30 percent amounts to
Choices:
the same as one 44 percent discount
the same as one 36 percent discount
the same as one 30 percent discount
the same as one 25 percent discount
Answer: A
Question: Car A runs at the speed of 60 km/hr and reaches its destination in 8 hours. Car B runs at the speed of 70 km/h and reaches its destination in 4 hours. What is the ratio of distances covered by Car A and Car B?
Choices:
4 : 9
12 : 7
5 : 7
6 : 11
Answer: B
Question: A person distributed 20% of his income to his 3 children each. He deposited 30% of his income to his wife's account. He donated 5% of remaining amount to an orphan house.Finally he has $40000. Find his total income?
Choices:
562000
800000
500000
652000
Answer: B
Question: A man rows his boat 95 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Choices:
7
10
8
9
Answer: B
Question: How many 3 digit numbers can be formed from the digits 2,3,5,6,7 and 9 which are divisible by 5 and none of the digits is repeated?
Choices:
20
10
45
50
Answer: A
Question: A Jar contains a mixture of AB in the ratio 4:1. When 30 L of Mixture is replaced with liquid B, ratio becomes 2:3. How many liters of liquid A was present in mixture initially.
Choices:
48
16
20
25
Answer: A
Question: The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 20000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is:
Choices:
49
22
20
21
Answer: A
Question: In the faculty of Reverse-Engineering, 500 second year students study numeric methods, 300 second year students study automatic control of airborne vehicles and 300 second year students study them both. How many students are there in the faculty if the second year students are approximately 50% of the total?
Choices:
1200
1150
1000
1050
Answer: C
Question: What is the units digit of 32! + 50! + 4! + 4!?
Choices:
2
4
6
8
Answer: D
Question: Look at this series: 36, 34, 30, 28, 24, ... What number should come next?
Choices:
22
23
26
28
Answer: A
Question: If a rectangular room measures 10 meters by 5 meters by 4 meters, what is the volume of the room in cubic centimeters? (1 meter=100 centimeters)
Choices:
240,000
2,400,000
200,000,000
240,000,000
Answer: C
Question: One room length is 16 m and breadth 12m.outside this room there is corridor 3.5 m wide.in this corridor how much stone will be used of size 7 decimeter× 5 decimeter?
Choices:
700
800
900
400
Answer: A
Question: Baker Ram is storing cake boxes in cartons that measure 25 inches by 42 inches by 60 inches. If the measurement of each cake box is 8 inches by 7 inches by 5 inches, then what is the maximum number of cake boxes that can be placed in each carton?
Choices:
300
252
225
210
Answer: D
Question: The length of each side of square A is increased by 100 percent to make square B. If the length of the side of square B is increased by 75 percent to make square C, by what percent is the area of square C greater than the sum of the areas of squares A and B?
Choices:
80%
145%
150%
180%
Answer: B
Question: A girl sitting in a train which is travelling at 100 kmph observes that a goods train travelling in a opposite direction, takes 6 seconds to pass him. If the goods train is 560 m long, find its speed.
Choices:
232
234
236
238
Answer: D
Question: A certain deck of cards contains 2 blue cards, 2 red cards, 2 yellow cards, and 2 green cards. If two cards are randomly drawn from the deck, what is the probability that they will both be not Yellow?
Choices:
15/28
9/16
1/32
1/16
Answer: A
Question: A set of numbers has an average of 30. If the largest element is 4 greater than 3 times the smallest element, which of the following values cannot be in the set?
Choices:
95
23
50
55
Answer: A
Question: John had a stock of 1400 books in his bookshop. He sold 75 on Monday, 50 on Tuesday, 64 on Wednesday, 78 on Thursday and 135 on Friday. What percentage of the books were not sold?
Choices:
71.3%
66.5%
34.9%
43.5%
Answer: A
Question: Ram borrowed some money at the rate of 6% p.a. for the first three years, 8% p.a.for the next six years and 10% p.a.for the period beyond nine years If the total interest paid by him at the end of 12 years is 19200, how much money did he borrow?
Choices:
10,000
25,000
20,000
None of these
Answer: C
Question: If (d-5)(y+2) = 0 which of the following must be true?
Choices:
d > y
d < y
dy = -10
None of the above
Answer: D
Question: The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is:
Choices:
225 m
245 m
250 m
280 m
Answer: B
Question: Can you find the missing number in the sequence given below?
10 14 18 11 15 ? 12 16 20 13 17 21
Choices:
23
20
18
19
Answer: D
Question: A box contains 4 black, 3 red and 6 green marbles. 3 marbles are drawn from the box at random. What is the probability that both the marbles are of the same color?
Choices:
25/709
25/286
24/268
24/226
Answer: B
Question: The average score of a cricketer for five matches is 45 runs. If the average for first three matches is 30, then average for last two matches is
Choices:
32.25
67.5
60.5
45.5
Answer: B
Question: By selling 16 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
Choices:
25
24
23
21
Answer: B
Question: What is the place value of 4 in the numeral 4125
Choices:
3400
3500
3000
4000
Answer: D
Question: A man performs 1/2 of the total journey by rail, 1/3 by bus and the remaining 5km on foot. His total journey is
Choices:
10km
12km
30km
25km
Answer: C
Question: In a division sum, the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 17 to the thrice of the remainder. The dividend is
Choices:
146
86
92
98
Answer: A
Question: Calculate how many ways a woman who has 5 bags and 4 books can put the books in her bag?
Choices:
625
615
325
125
Answer: A
Question: Solve below question 2x + 1 = -17
Choices:
-9
9
8
-7
Answer: A
Question: A machine manufactures notebooks in a series of five colors: red, blue, black, white, and yellow. After producing a notebook of one color from that series, it produces a notebook of the next color. Once five are produced, the machine repeats the same pattern. If the machine began a day producing a red notebook and completed the day by producing a black notebook, how many notebooks could have been produced that day?
Choices:
34
50
61
78
Answer: D
Question: The ratio of the amount of the oil bill for the month of February to the amount of the oil bill for the month of January was 5:4. If the oil bill for February had been $45 more, the corresponding ratio would have been 3:2. How much was the oil bill for January?
Choices:
$90
$120
$150
$180
Answer: D
Question: The area of an isosceles trapezoid with sides of length 5 and bases of length 8 and 14 is?
Choices:
32
44
55
56
Answer: B
Question: A man can row with a speed of 15 kmph in still water. If the stream flows at 1 kmph, then the speed in downstream is?
Choices:
5 kmph
20 kmph
16 kmph
25 kmph
Answer: C
Question: A person is traveling at 25km/hr and reached his destiny in 9hr find the distance?
Choices:
B)95km
C)135km
D)80km
E)225km
Answer: D
Question: Which of the following correctly lists the data sets in order of greatest to least standard deviation?
I. 8, 9, 10, 11, 12, 13
II. 12, 12, 12, 12, 12, 12
III. 47, 56, 58, 60, 64, 69
Choices:
I, III, II
III, I, II
II, III, I
II, I, III
Answer: D
Question: Given two fair dice, what is the probability E that the sum of their numbers is 4 if exactly one die shows a 3?
Choices:
a) 2/11
c) 3/11
d) 2/39
e) 1/5
Answer: A
Question: If a and b are odd integers which of the following must be an even integer?
Choices:
ab
(ab)^2
ab + b
(a + b)/b
Answer: C
Question: if the price of a book is first decreased by 20% and then increased by 20%, then the net change in the price will be :
Choices:
388
4
29
22
Answer: B
Question: The ratio of three numbers is 6:7:5 and their sum is 108. The second number of the three numbers is?
Choices:
42
30
36
None of these
Answer: A
Question: If x and y are both odd prime numbers and x < y, how many distinct positive R integer factors does 2xy have?
Choices:
4
6
8
12
Answer: C
Question: Three students appear at an examination of Mathematics. The probability of their success are 1/3, 1/4, 2/5 respectively. Find the probability of success of at least two.
Choices:
1/4
3/4
3/5
4/5
Answer: A
Question: Which of the following is closer to (24!+23!)/(24!-23!)?
Choices:
36
25
1
16
Answer: C
Question: Molly can do a task in 15 days while Sandy can do the task in 30 days. How many days will it take to complete the task if both work together?
Choices:
10
11
12
14
Answer: A
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
668
240
299
121
Answer: B
Question: A store reduced the price of all items in the store by 15% on the first day and by another 10% on the second day. The price of items on the second day was what percent of the price before the first reduction took place?
Choices:
76.5
81.0
81.1
81.9
Answer: A
Question: What is his percentage profit made by Osborn if he purchased 30 dozen watches at Rs. 50 per dozen. He sold 12 dozens at 12% profit and the remaining 18 dozens with 17% profit?
Choices:
13.6%
16.6%
15.6%
14.6%
Answer: C
Question: A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
Choices:
58
62
64
68
Answer: C
Question: A sock drawer contains five socks, each one a different solid color. The colors of the socks are red, orange, yellow, indigo, and violet. If a person reaches into the drawer and pulls out two socks, how many different color combinations are possible in the selected pair of socks?
Choices:
10
21
36
42
Answer: A
Question: A Fruit store sells four varieties of Mangoes. A,B,C & D. IF A Costs 15% less than B, and C costs 20% less than A,and D costs 25% less than C what percent of B's cost is D?
Choices:
38%
44%
46%
51%
Answer: D
Question: A number consists of two digits whose sum is 11. If 27 is added to the number, then the digits change their places. What is the number ?
Choices:
47
83
92
82
Answer: A
Question: 8 x 5.4 - 0.6 x 10/1.2 = ?
Choices:
45
50
31
21
Answer: C
Question: A circular well with a diameter of 2 meters, is dug to a depth of 14 meters. What is the volume of the earth dug out.
Choices:
42m3
44m3
46m3
48m3
Answer: B
Question: A walks at 10 kmph and 6 hours after his start, B cycles after him at 20 kmph. How far from the start does B catch up with A?
Choices:
150km
50km
120km
200km
Answer: C
Question: The radius of a semi circle is 6.3 cm then its perimeter is?
Choices:
32.4 cm
32 cm
30 cm
35 cm
Answer: A
Question: The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
Choices:
76 seconds
26 seconds
12 seconds
18 seconds
Answer: C
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 8 sec. What is the length of the fast train?
Choices:
44 4/9 m
44 7/2 m
44 7/9 m
44 7/7 m
Answer: A
Question: (4.5 x 3.7 + 4.5 x 6.3)/(1.5 x 8.4 - 1.5 x 7.4) = ?
Choices:
30
32
34
36
Answer: A
Question: In a 4 person race, medals are awarded to the fastest 3 runners. The first-place runner receives a gold medal, the second-place runner receives a silver medal, and the third-place runner receives a bronze medal. In the event of a tie, the tied runners receive the same color medal. (For example, if there is a two-way tie for first-place, the top two runners receive gold medals, the next-fastest runner receives a silver medal, and no bronze medal is awarded). Assuming that exactly three medals are awarded, and that the three medal winners stand together with their medals to form a victory circle, how many C different victory circles are possible?
Choices:
52
96
144
648
Answer: A
Question: A train crosses a platform of 130 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Choices:
B)170m
C)230m
D)158m
E)350m
Answer: B
Question: Father is aged three times more than his son Sunil. After 8 years, he would be two and a half times of Tharak's age. After further 6 years, how many times would he be of Tharak's age?
Choices:
1.83 times
2.83 times
0.83 times
6.2 times
Answer: A
Question: If a * b * c =(√(a + 2)(b + 3)) / (c + 1), find the value of 6 * 15 * 11.
Choices:
5
1
3
4
Answer: B
Question: For dinner at a restaurant, there are x+ 1 choices of appetizers, y main courses, and z choices of dessert. How many total possible choices are there if you choose 1 appetizer, 1 main course, and 1 dessert for your meal?
Choices:
xyz + xz
xy + z + 1
xyz + 1
xyz + yz
Answer: D
Question: A number when divided by a certain divisor left remainder 255, when twice the number was divided by the same divisor, the remainder was 112. Find the divisor?
Choices:
365
398
456
460
Answer: B
Question: In covering a distance of 24 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is:
Choices:
4 kmph
6.25 kmph
7.5 kmph
7.8 kmph
Answer: A
Question: A batsman in his 17th innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17thinnings?
Choices:
12
11
37
89
Answer: C
Question: What is the unit’s digit of 7^5
Choices:
3
5
7
9
Answer: C
Question: 20 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 10 women are present. Then the number of married men at the party is ?
Choices:
3
7
8
9
Answer: A
Question: By weight, liquid X makes up 0.8 percent of solution A and 1.8 percent of solution B. If 300 grams of solution A are mixed with 700 grams of solution B, then liquid X accounts for what percent of the weight of the resulting solution?
Choices:
1.5%
10%
15%
19%
Answer: A
Question: Simplify: (10-5)-(-3+14-2)+(7-5)
Choices:
–2
1
2
0
Answer: A
Question: In an election, candidate A got 75% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favor of candidate?
Choices:
355800
356500
356800
357000
Answer: D
Question: Tom is chasing Jerry. In the same interval of time Tom jumps 8 times while Jerry jumps 6 times. But the distance covered by Tom in 7 Jumps is equal to the distance covered by Jerry in 5 Jumps. The ratio of speed of Tom and Jerry is:
Choices:
28 :15
24 :20
20 :21
None
Answer: C
Question: A man saves Rs. 200 at the end of each year and lends the money at 5% compound interest. How much will it become at the end of 3 years?
Choices:
662.0
662.02
362.02
662.05
Answer: B
Question: A large box contains 19 small boxes and each small box contains 25 chocolate bars. How many chocolate bars are in the large box?
Choices:
475
450
550
650
Answer: A
Question: Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
Choices:
5/4
5/1
5/6
5/2
Answer: C
Question: A, B, K start from the same place and travel in the same direction at speeds of 30 km/hr, 40 km/hr, 50 km/hr respectively. B starts two hours after A. If B and K overtake A at the same instant, how many hours after A did K start?
Choices:
3.2
4.0
4.8
5.6
Answer: A
Question: Mr.Govind invested an amount of Rs.13900 divided in two different schemes S1 and S2 at the simple interst rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in two years was Rs.3508, what was the amount invested in Scheme S2?
Choices:
Rs.6400
Rs.7200
Rs.7500
Rs.7800
Answer: A
Question: If x + (1/x) = 5, what is the value of E=x^2 + (1/x)^2?
Choices:
E=22
E=23
24
27
Answer: B
Question: Let S be the set of permutations of the sequence 2, 3, 4, 5, 6 for which the first term is not 2. A permutation is chosen randomly from S. The probability that the second term is 5 is given by a/b (in lowest terms). What is a+b?
Choices:
6
11
16
19
Answer: D
Question: The sum of three from the four numbers A, B , C , D are 3957 , 4012 , 4370 and 4374 What is the largest of the numbers A , B , C and D?
Choices:
1614
1560
1198
1298
Answer: A
Question: John has to secure 60% marks to clear his exam of class 5th.
He got 10 marks and failed by 50 marks.
What is the maximum marks ?
Choices:
105
100
95
90
Answer: B
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 48 kmph, find the speed of the stream?
Choices:
88
14
16
17
Answer: C
Question: There are seven thieves. They stole diamonds from a diamond merchant and ran away. While running, night sets in and they decide to rest in the jungle.
When everybody was sleeping, two of them woke up and decided to divide the diamonds equally among themselves. But when they divided the diamonds equally, one diamond is left.
So they woke up the 3rd thief and tried to divide the diamonds equally again but still one diamond was left. Then they woke up the 4th thief to divide the diamonds equally again, and again one diamond was left. This happened with the 5th and 6th thief – one diamond was still left.
Finally, they woke up the 7th thief and this time the diamonds were divided equally.
How many diamonds did they steal in total?
Choices:
1141
1120
1130
None
Answer: A
Question: Find the odd man out
36, 315, 612, 810, 966, 1362
Choices:
612
315
36
1362
Answer: B
Question: The price of raw materials has gone up by 15%, labour cost has also increased from 25% of the cost of raw material to 30% of the cost of raw material. By how much percentage should there be reduction in the usage of raw materials so as to keep the cost same?
Choices:
17%
27%
24%
Cannot determined
Answer: A
Question: If 40% of 3/5 of a number is 36, then the number is?
Choices:
150
75
90
None of these
Answer: A
Question: A train 90 m long running at 56 kmph crosses a platform in 18 sec. What is the length of the platform?
Choices:
190
180
881
271
Answer: A
Question: In a factory, there are 40% technicians and 60% non-technicians. If the 60% of the technicians and 40% of non-technicians are permanent employees, then the percentage of workers who are temporary is?
Choices:
52%
82%
32%
12%
Answer: A
Question: The ratio of the amount of the oil bill for the month of February to the amount of the oil bill for the month of January was 5:4. If the oil bill for February had been $30 more, the corresponding ratio would have been 3:2. How much was the oil bill for January?
Choices:
$80
$100
$120
$140
Answer: C
Question: An amount of money is to be divided between P, Q and R in the ratio of 3:7:12. If the difference between the shares of P and Q is Rs.3200, what will be the difference between Q and R's share?
Choices:
4000
7282
2782
2729
Answer: A
Question: Data sufficiency question.
Choices:
277
299
26
192
Answer: A
Question: Today Joelle opened an interest-bearing savings account and deposited $5,000. If the annual interest rate is 4 percent compounded interest, and she neither deposits nor withdraws money for exactly 2 years, how much money will she have in the account?
Choices:
$5408
$5208
$5608
$5808
Answer: A
Question: A boat can row 18 kmph in still water.It takes twice as long to row up as to row down the river.Find the rate of stream.
Choices:
6 km/hr
8km/hr
5 km/hr
9 km/hr
Answer: A
Question: If e is an integer, what is the greatest possible value for e that would still make the following statement true: 11*10^e < 1/10 ?
Choices:
–3
–2
–1
0
Answer: A
Question: Evaluate 50% of 450 + 45% of 500
Choices:
450
252
262
272
Answer: A
Question: Each of the cucumbers in 100 pounds of cucumbers is composed of 99% water, by weight. After some of the water evaporates, the cucumbers are now 94% water by weight. What is the new weight of the cucumbers, in pounds?
Choices:
16
92
96
98
Answer: A
Question: If the radius of a circle is increased by 50% then the area is increased by:
Choices:
125%
144%
40%
None of the above
Answer: A
Question: The market value of a certain machine decreased by 30 percent of its purchase price each year. If the machine was purchased in 1982 for its market value of $8,000, what was its market value two years later?
Choices:
$5,600
$3,200
$2,400
$800
Answer: B
Question: If an integer n is to be selected at random from 1 to 100, inclusive, what is probability n(n+1) will be divisible by 32?
Choices:
3/7
1/16
1/14
1/12
Answer: B
Question: Find the value of 72517 x 9999 = m?
Choices:
246465757
465767867
725097483
645354643
Answer: C
Question: Ramesh can finish a work in 20 days and Sushil in 25 days. They both work together for 5 days and then Sushil goes away. In how many days will Ramesh complete the remaining work?
Choices:
87
66
88
62
Answer: C
Question: A number n is chosen from {2, 4, 6 … 48}. The probability that ‘n’ satisfies the equation (2x – 6) (3x + 12) (x – 6) (x – 10) = 0 is
Choices:
1/12
1/8
1/6
1/5
Answer: A
Question: In a company, 56 percent of the employees are men. If 60 percent of the employees are unionized and 70 percent of these are men, what percent of the non-union employees are women?
Choices:
50%
55%
60%
65%
Answer: D
Question: In Township K, 1/5 of the housing units are equipped with cable television . If 1/10 of the housing units , including 1/3 of those that are equipped with cable television , are equipped with videocassette recorders ,what fraction of the housing units have neither cable television nor videocassette recorders ?
Choices:
23/30
7/10
1/6
2/15
Answer: A
Question: Name the quadrant , if any , in which each point is locted.
(a) (1,6)
(b) (-4, -2)
Choices:
I, III
III, IV
V, III
II, I
Answer: A
Question: In 10 years, A will be twice as old5as B was 10 years ago. If A is now 9 years older than B, the present age of B is
Choices:
88 years
39 years
66 years
77 years
Answer: B
Question: To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to 1/2 of its present?
Choices:
60.5
63.5
62.5
50
Answer: D
Question: A fair silver coin with sides marked heads and tails is to be tossed eight times. What is the probability that the coin will land tails side up more than five times?
Choices:
A)37/256
C)65/256
D)70/256
E)81/256
Answer: A
Question: Anand starts from a point P towards point Q, where PQ = 60 km. After 1 hour, Ram starts from P and catches up with Anand after 2 more hours. After meeting they continue to travel towards Q. On reaching Q, Ram reverses his direction and meets Anand 6 hours after the first meeting. Find Anand's speed.
Choices:
(60/7) kmph
(40/7) kmph
(30/7) kmph
(65/7) kmph
Answer: B
Question: A wheel has a diameter of y inches and a second wheel has a diameter of x inches. The first wheel covers a distance of d feet in 100 revolutions. How many revolutions does the second wheel make in covering d feet?
Choices:
100y - x
100x - y
100y/x
100x/y
Answer: C
Question: Look at this series: 3, 4, 7, 8, 11, 12, ... What number should come next?
Choices:
10
14
15
16
Answer: C
Question: What is 50% of 40% of 1200 grams?
Choices:
100 gms
300 gms
240 gms
None of these
Answer: C
Question: If a > 1, b > 1, and (a^2)b = a, then which of the following MUST be true?
Choices:
2a > b
a^2< b^2
ab > b
a^3 < b^3
Answer: C
Question: A wolf eats 4.5 Kg of meat in 2 days. A baby tiger eats 3 Kg of meat in 4 days. How much meat can the two combined eat in three days?
Choices:
9.
8.
7
6.
Answer: A
Question: 137+276=435 how much is 731+672?
Choices:
534
1623
1513
1613
Answer: A
Question: A man tosses three coins in the air. When they land, he finds that two of the coins have heads up and one has tails up.
What is the probability that when the coins are tossed again, they will land again with two heads up and one tails up.
Please note that the coins are unbiased.
Choices:
50%
70%
60%
55%
Answer: A
Question: Which one of the following numbers is exactly divisible by 11?
Choices:
10
11
13
15
Answer: B
Question: The number of people who purchased book A is twice the number of people who purchased book B. The number of people who purchased both books A and B is 500, which is twice the number of people who purchased only book B. What is the number of people C who purchased only book A?
Choices:
500
750
1000
1500
Answer: C
Question: Pipe A fills a swimming pool in 4 hours. Pipe B empties the pool in 6 hours. If pipe A was opened at 6:00 am and Pipe B at 7:00 am, at what time will the pool be full?
Choices:
15:00
13:00
16:00
17:00
Answer: C
Question: If $792 are divided between worker A and worker B in the ratio 5:6,what is the share that worker B will get?
Choices:
54.54%
56.56%
57.57%
58.58%
Answer: A
Question: If the cost price of 10 pens is equal to the selling price of 8 pens, the gain percent is:
Choices:
25%
50%
80%
34%
Answer: A
Question: A cyclist covers a distance of 800 meter in 4 minutes 20 seconds. What is the speed in km/hr of the cyclist?
Choices:
8.4 km/hr
11.05 km/hr
16.07 km/hr
15.07 km/hr
Answer: B
Question: In an NGO the daily average wages of 20 illiterate employees is decreased from Rs.25 to Rs.10, thus the average salary of all the literate and illiterate employees is decreased Rs.10 per day. The No. of educated employees working in the NGO is :
Choices:
11
10
27
22
Answer: B
Question: Current age of Bruce and Tomy r in the ratio of 5:4 respectively. 3 years hence, the ratio of their ages will become 11:9 respectively. What is Tomy 's present age in years?
Choices:
20 years
24 years
26 years
28 years
Answer: B
Question: Due to 10% decrease in the price of sugar and John can buy 5kg more sugar in Rs100 , then find the CP of sugar?
Choices:
2(2/9)
3 (3/7)
3 (1/7)
4
Answer: A
Question: Square A is inscribed in circle B. If the perimeter of A is 32, what is the circumference of B?
Choices:
4√ 2π
8√ 2π
7√ 2π
5
Answer: B
Question: There are 8 executives, including the CEO and CFO, that are asked to form a small team of 4 members. However, the CEO and CFO may not both be assigned to the team. Given this constraint, how many ways are there to form the team?
Choices:
55
65
75
85
Answer: A
Question: 33 1/3% OF 240?
Choices:
80
110
120
130
Answer: A
Question: If a = 105 and a^3= 21 * 49 * 45 * b, what is the value of b?
Choices:
25
45
49
54
Answer: A
Question: For any integer n greater than 1, n* denotes the product of all the integers from 1 to n, inclusive. How many prime numbers Q are there between 6* + 2 and 6* + 6, inclusive?
Choices:
None
Two
Three
Four
Answer: A
Question: Find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm?
Choices:
655 sq.cm
654 sq.cm
600 sq.cm
266 sq.cm
Answer: C
Question: A certain no. when divided by 80 leaves a remainder 25, what is the remainder if the same no.be divided by 15?
Choices:
4
6
7
9
Answer: C
Question: A four-digit code can consist of the digits 0 ~ 9 except that it does not contain the digits 1, 2, 3, 5, and 6 at all. If repeated digits are allowed, what is the probability that it has at least one even digit?
Choices:
121/125
343/400
609/625
729/1000
Answer: C
Question: A and B can do a piece of work in 2 days, B and C in 3 days, C and A in 4 days. How long will C take to do it?
Choices:
20 days
22 days
24 days
26 days
Answer: C
Question: Consider the sets Tn = {n, n + 1, n + 2, n + 3, n + 4}, where n = 1, 2, 3,...., 120. How many of these sets contain 6 or any integral multiple thereof (i.e., any one of the numbers 6, 12, 18, ...)?
Choices:
(a)100
(c) 82
(d) 83
(e) 84
Answer: A
Question: Set J consists of 15 consecutive even numbers. If the smallest term in the set is -10, what is the range of the positive integers in set J?
Choices:
12
14
16
20
Answer: C
Question: The age of Ram and Suba are in the ratio 5:6 and after 4 years their ratios are 7:8 then what is the present age of Suba?
Choices:
12
13
14
15
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:
22.9
22.2
79.2
23.7
Answer: C
Question: Rs 3200 is divided into two parts such that one part is put out at 3% and the other at 5%. If the annual interest earned from both the investments be Rs 144, find the first part.
Choices:
s 200
s 800
s 500
s 100
Answer: B
Question: Find the smallest number which when divided by 13 and 16 leaves respective remainders of 2 and 5.
Choices:
197
127
182
091
Answer: A
Question: The New York Classical Group is designing the liner notes for an upcoming CD release. There are 10 soloists featured on the album, but the liner notes are only 5 pages long, and therefore only have room for 5 of the soloists. The soloists are fighting over which of them will appear in the liner notes, though not about which page they appear on. How many different combinations of soloists can appear in the liner notes?
Choices:
10!/(5!5!)
10!
10!*5!
5!*5!
Answer: A
Question: A class consists of 100 students, 25 of them are girls and 75 boys; 20 of them are rich and remaining poor; 30 of them are fair complexioned. The probability of selecting a fair complexioned rich girl is
Choices:
3/200
1/56
1/54
1/53
Answer: A
Question: What is the present worth of Rs. 154 due in 2 years at 5% simple interest per annum
Choices:
120
130
140
None of these
Answer: C
Question: A man24years older than his son. In two years, his age will be twice the age of his son. The present age of the son is ?
Choices:
15yeras
31years
29years
22years
Answer: D
Question: The H.C.F. of two numbers is 16 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
Choices:
299
224
345
365
Answer: B
Question: What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high?
Choices:
81
12
13
17
Answer: C
Question: P, Q, R subscribe Rs. 50,000 for a business. P subscribes Rs. 4000 more than Q and Q Rs. 5000 more than R. Out of a total profit of Rs. 25,000, what will be P's share?
Choices:
Rs. 10,500
Rs. 13,600
Rs. 14,700
None of these
Answer: A
Question: the hiker walking at a constant rate of 6 miles per hour is passed by a motor-cyclist traveling in the same direction along the same path at 30 miles per hour. the motor-cyclist stops to wait for the hiker 12 minutes after passing her, while the hiker continues to walk at her constant rate, how many minutes must the motor-cyclist wait until the hiker catches up?
Choices:
36
40
48
60
Answer: C
Question: In a box, there are 3 blue, 4 white and 6 yellow bulbs. One bulb is picked up randomly. What is the probability that it is neither white nor blue?
Choices:
5/16
6/13
6/15
9/32
Answer: B
Question: What proximate value should come in place of the question mark (?) in the following question?
9.595 Ã— 1084 + 2568.34 â€“ 1708.34 = ?
Choices:
12,000
10,000
11228
22397
Answer: C
Question: The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:
Choices:
23
26
29
30
Answer: A
Question: Tim has 3 dogs named Rocky, Dash and Tango. Rocky and Dash together weigh 120 pounds. Dash and Tango
together weigh 280 pounds. All three together weigh 310 pounds. What is Dash’s weight?
Choices:
45 lbs
60 lbs
80 lbs
90 lb
Answer: D
Question: The difference between compound and simple interest on a certain sum of money for 3 years at 6 2/3% p.a is Rs.184. Find the sum?
Choices:
27772
12992
13500
26782
Answer: C
Question: P, Q, R enter into a partnership and their share are in the ratio 1/2:1/3:1/4. After two months, P withdraws half of his capital and after 10 more months, a profit of Rs 378 is divided among them. What is Q's share?
Choices:
156
169
148
144
Answer: D
Question: Three unbased coins are tossed. the probability of getting at most one tail and two head is ?
Choices:
3/8
3/4
1/5
2/3
Answer: A
Question: The speed of a boat in still water is 60kmph and the speed of the current is 30kmph. Find the speed downstream and upstream?
Choices:
80,40 kmph
10,40 kmph
80,80 kmph
90,30 kmph
Answer: D
Question: Jane makes toy bears. When she works with an assistant, she makes 100 percent more bears per week and works 10 percent fewer hours each week. Having an assistant increases Jane’s output of toy bears per hour by what percent?
Choices:
80%
100%
180%
200%
Answer: D
Question: What is the probability of randomly selecting one of the shortest diagonals from all the diagonals of a regular decagon (10-sided polygon)?
Choices:
2/5
2/7
10/21
5/11
Answer: B
Question: A 50-liter solution of milk and water is 5 percent alcohol. If 1.5 liters of milk and 8.5 liters of water are added to this solution, what percent of the solution produced is milk?
Choices:
6%
6 1/3%
6 1/5%
6 2/3%
Answer: D
Question: The price of a TV was increased by 30 percent. The new price was then increased by 40 percent. A single increase of what percent is equivalent to these two successive increases?
Choices:
82%
65%
50%
45%
Answer: A
Question: A bank offers 5% C.I. calculated on half-yearly basis . A customer deposits Rs. 1600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is?
Choices:
Rs. 121
Rs. 122
Rs. 123
Rs. 124
Answer: A
Question: How many arrangements of the letters of the word GUIDE can be made, without changing the place of the vowels in the word?
Choices:
6
2
3
5
Answer: B
Question: A train 250 m long is running with a speed of 68 kmph. In what time will it pass a man who is running at 8 kmph in the same direction in which the train is going?
Choices:
7 sec.
9 sec.
15 sec.
None
Answer: C
Question: There are 600 military people in a division of the army. There is one Officer for every 23 soldiers in that division. Now the question is how many officers are in the division?
Choices:
35
37
73
25
Answer: D
Question: After decreasing 24% in the price of an article costs Rs.836. Find the actual cost of an article?
Choices:
6789
1200
1100
1421
Answer: C
Question: In an examination a pupil's average marks were 63 per paper. If he had obtained 30 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination?
Choices:
9
10
16
12
Answer: C
Question: 0.0005215/0.000305 x 6.2=?
Choices:
10.6
12.7
13.4
14.5
Answer: A
Question: (128.5 x 25) + (13.8 x 50) = ? x 50
Choices:
78.05
574.36
585.64
595.46
Answer: A
Question: How many positive integers less than 100 are neither multiples of 3 or 4.
Choices:
a)50
c)32
d)33
e)34
Answer: A
Question: If the length of the side of a square is doubled, what is the ratio of the areas of the original square to the area of the new square?
Choices:
1:4
3:4
4:4
5:4
Answer: A
Question: It takes Joey the postman 1 hours to run a 6 mile long route every day. He delivers packages and then returns to the post office along the same path. If the average speed of the round trip is 8 mile/hour, what is the speed with which Joey returns?
Choices:
12
13
14
15
Answer: A
Question: A boatman trying to cross the river.the width of the river is 400m.he is selling boat with 10m/sec.he takes 50sec to cross the river due to flow of water.calculate the drift.
Choices:
400
300
200
100
Answer: B
Question: Consider the following game. A referee has cards labeled A, B, C, and D, and places them
face down in some order. You point to each card in turn, and guess what letter is written on
the bottom. You guess each of A, B, C, and D exactly once (otherwise there is no chance of
getting them all right!).
You play this game once, and then the referee tells you that you guessed exactly n of the letters
correctly. Which value of n is not a possible value of n?
Choices:
1
2
3
4
Answer: C
Question: What number comes next in this Number series.
8 5 5 3 4 4 6 ?
*Hint: check calende
Choices:
9
6
1
8
Answer: A
Question: A cube of edge 6 cm is cut into cubes each of edge 1 cm. The ratio of the total surface area of one of the small cubes to that of the large cube is equal to:
Choices:
1:36
1:52
1:522
None
Answer: A
Question: The value of Underrot 23pi/4 + Underrot 9 is most nearly equal to which of the following integers? (Please refer to the picture below for the exact version of the question)
Choices:
25
21
31
9
Answer: B
Question: How many words can be formed from the letters of the word ‘EXTRA’ so that the vowels are never together?
Choices:
72
23
68
95
Answer: A
Question: Ramesh spends 75% of his income. His income is increased by 20% and he increased his expenditure by 10%.Find the percentage increase in his savings
Choices:
35%
40%
45%
50%
Answer: D
Question: A bank issued credit card numbers and the corresponding PIN (Personal Identification Number). Both are 3-digit numbers up to 996. Pinaki was the last to get the credit card and so he had the last possible credit card number.
He was afraid of forgetting his PIN. He wrote down the number 125 in his diary to remember his PIN. He also wrote out the way to calculate 125 : "Multiply the card number by PIN. Divide the product by 997. The remainder is 125".
Once, Prafull saw his diary in which Pinaki wrote this number 125. Prafull did a lot of purchasing, as he now knows Pinaki's PIN. What is Pinaki's PIN?
Choices:
872
876
875
879
Answer: A
Question: If the GCD of two distinct numbers (not equal, both integers, greater than 1) is 3, then which of the following can be true?
A. They are prime.
B. They are not even.
C. They do not have a common prime factor.
D. They do not have a common factor other than 3.
Choices:
Only B
Only C
Only D
Only A and D
Answer: A
Question: A calculator has a key for squaring and another key for inverting. So if x is the displayed number, then pressing the square key will replace x by x^2 and pressing the invert key will replace x by 1/x. If initially the number displayed is 6 and one alternatively presses the invert and square key 16 times each, then the final number displayed (assuming no roundoff or overflow errors) will be
Choices:
6/65536
6/65288
6/62888
6/65199
Answer: A
Question: A boy goes to a playground from the house at 5 km/hr by 10 minute late. If he goes at 6 km/hr. he would be 5 minutes early. What is the distance of the of playground from his house ?
Choices:
7.5 km
10 km
12 km
None of these
Answer: A
Question: A certain computer manufacturing firm last year produced 82 percent of its computers using parts made by its subsidiary company. If the remaining 10,872 computers were produced using parts purchased from another parts manufacturer, how many computers were produced by the computer manufacturing firm altogether?
Choices:
61456
60100
50000
60400
Answer: D
Question: The class mean score on a test was 60, and the standard deviation was 10. If Jack's score was within 2 standard deviations of the mean, what is the lowest score he could have received?
Choices:
31
45
90
20
Answer: D
Question: A computer system uses alphanumeric case sensitive characters for its passwords. When the system was created it required users to create passwords having 6 characters in length. This year, it added the option of creating passwords having 7 characters in length. Which of the following gives the expression for the total number of passwords the new computer system can accept?
Assume there are 82 unique alphanumeric case sensitive characters.
Choices:
82^4 * 83
62(62^4)
63(62^4)
63(62^6)
Answer: A
Question: A bad habit milkman to sell his milk at cost price but he mixes it with water and thereby gains 25%. Find the percentage of mixture water ?
Choices:
20
35
40
45
Answer: A
Question: Joe’s average (arithmetic mean) test score across 4 equally weighted tests was 90. He was allowed to drop his lowest score. After doing so, his average test score improved to 85. What is the lowest test score that was dropped?
Choices:
25
55
75
80
Answer: C
Question: Find the value of m 62519 x 9999 = m?
Choices:
353654655
545463251
625127481
477899932
Answer: C
Question: A baseball card decreased in value 30% in its first year and 10% in its second year. What was the total percent decrease of the card's value over the two years?
Choices:
37%
32%
36%
72%
Answer: A
Question: An investment of $10000 was made in a certain account and earned interest that was compounded annually. The annual interest rate was fixed for the duration of the investment, and after 12 years the $10000 increased to $40000 by earning interest. In how many years after the initial investment was made the $10000 have increased to $80000 by earning interest at that rate?
Choices:
22
20
21
18
Answer: D
Question: Find the value of 72519 x 9999 = m?
Choices:
436567874
653658791
725117481
357889964
Answer: C
Question: If 3^x*4^y = 19,683 and x – y = 9, then x = ?
Choices:
9
10
11
12
Answer: A
Question: What is the equation of a circle of radius 6 units centered at (3, 2)?
Choices:
x2 + y2 - 6x + 4y = 23
x2 + y2 + 6x + 4y = 23
x2 + y2 - 6x - 4y = -23
x2 + y2 - 6x - 4y = 23
Answer: D
Question: The 19th of September 1987 was a Saturday. If 1988 was a leap-year, what day of the week was the 23rd of September 1990?
Choices:
Sunday
Wednesday
Thursday
Friday
Answer: A
Question: A company purchased raw material worth 1/4 of it capital, 1/10 of the remaining is spent on machinery. How much fraction of the capital was left with the company after its expenditures on raw material and machinery?
Choices:
2/8
5/9
27/40
15/30
Answer: C
Question: A train covers a distance of 12 km in 10 min. If it takes 8 sec to pass a telegraph post, then the length of the train is?
Choices:
288
120
160
991
Answer: C
Question: Find the perimeter of a triangle with sides measuring 5 centimeters,20 centimeters and 30 centimeters.
Choices:
40cm
50cm
55cm
60cm
Answer: C
Question: Eight people went to a restaurant for dinner. Seven of them spent $10 each on their meals and the eighth spent $7 more than the average expenditure of all eight people. What was the total amount of money that the eight people spent?
Choices:
$88
$91
$94
$97
Answer: A
Question: John and Ingrid pay 30% and 40% tax annually, respectively. If John makes $60000 and Ingrid makes $72000, what is their combined tax rate?
Choices:
34.4%
35%
35.6%
36.4%
Answer: C
Question: A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?
Choices:
3 m
5.82 m
4 m
None of these
Answer: A
Question: The speed of a boat in upstream is 50 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
15 kmph
65 kmph
55 kmph
14 kmph
Answer: A
Question: An article is bought for Rs.655 and sold for Rs.900, find the gain percent?
Choices:
37 53/131%
23 1/3%
35 1/3%
29 1/3%
Answer: A
Question: Arun got 30% of the maximum marks in an examination and failed by 10 marks. However, Sujith who took the same examination got 40% of the total marks and got 15 marks more than the passing marks. What were the passing marks in the examination?
Choices:
250
75
85
95
Answer: C
Question: Water is leaking out from a cylinder container at the rate of 0.31 m^3 per minute. After 10 minutes, the water level decreases 4 meters. What is value of the radius?
Choices:
0.5
1.5
2.0
2.5
Answer: A