antoine-444/aqua_rat_dataset huggingface dataset:
Question: A paint store mixes 3/4 pint of red paint and 2/3 pint of white paint to make a new paint color called Perfect Pink. How many pints of red paint would be needed to make 35 pints of Perfect Pink paint?
Choices:
16
19
25 1/3
28 1/2
Answer: B
Question: One out of every 600 light bulbs are defected. If 2 out of every 10 defected light bulbs have a broken glass and there are 20 broken glass light bulbs in the shipment, how many light bulbs total are there in the shipment?
Choices:
60,000
10,000
50,000
52,000
Answer: A
Question: A train 450 metres long is moving at a speed of 25 kmph. It will cross a man coming from the opposite direction at a speed of 2 km per hour in :
Choices:
32 sec
36 sec
38 sec
60 sec
Answer: D
Question: If x is an even integer and y = 6x + 4, which of the following CANNOT be a divisor of y?
Choices:
20
29
41
53
Answer: A
Question: John spends $320 buying his favorite dolls. If he buys only small Monkey dolls, which are $4 cheaper than the large Monkey dolls, he could buy 40 more dolls than if he were to buy only large Monkey dolls. How much does a large Monkey doll cost?
Choices:
$7.5
$8
$9
$10
Answer: B
Question: At a monthly meeting, 3/5 of the attendees were males and 7/8 of the male attendees arrived on time. If 9/10 of the female attendees arrived on time, what fraction of the attendees at the monthly meeting did not arrive on time?
Choices:
23/200
7/50
3/20
4/25
Answer: A
Question: If a,b, and c are consecutive positive integers and a>b>c, what can be the value of (a^2-b^2)(b^2-c^2)?
Choices:
35
55
65
75
Answer: A
Question: A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 75, the runs scored by C are?
Choices:
18
45
17
12
Answer: B
Question: A fruit seller had some oranges. He sells 40% oranges and still has 360 oranges. How many oranges he had originally?
Choices:
710
600
730
740
Answer: B
Question: The width of a rectangle is 10mtr and its area is 150 square meter. If length of the rectangle is increased, then its new area is 1(1/3) times of the original area. What is the new perimeter of the rectangle?
Choices:
54
67
60
69
Answer: C
Question: circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?
Choices:
44
66
78
49
Answer: A
Question: Jagan went to another town covering 240 km by car moving at 60 kmph. Then he covered 400km by train moving at 100 kmph and then rest 200 km he covered by a bus moving at 50 kmph. The average speed during the whole journey was ?
Choices:
60 kmph
10 kmph
70 kmph
90 kmph
Answer: C
Question: If a and b are integers and (a*b)^5 = 144y, y could be:
Choices:
48
56
62
54
Answer: D
Question: What is the greatest number of three digits which is divisible by 8, 16, 32 ?
Choices:
992
999
998
990
Answer: A
Question: If nn is a positive integer and (n+1)(n+3)(n+1)(n+3) is odd, then (n+2)(n+4)(n+2)(n+4) must be a multiple of which one of the following?
Choices:
5
6
8
10
Answer: C
Question: A single discount equivalent to the discount series of 20%, 10% and 5% is?
Choices:
31.3
31.6
31.1
31.9
Answer: B
Question: The average of three numbers is 48. The average of two of these numbers is 56%. What is the third number?
Choices:
32
46
75
47
Answer: A
Question: When integer b is divided by 13, the remainder is 6. Which of the following cannot be an integer?
Choices:
b/26
b/17
b/12
b/6
Answer: A
Question: If it is 6:27 in the evening on a certain day, what time in the morning was it exactly 2,880,711 minutes earlier? (Assume standard time in one location.)
Choices:
6:24
6:27
6:36
6:32
Answer: C
Question: Anthony and Michael sit on the six-member board of directors for company E. If the board is to be split up into 2 three-person subcommittees, what percent of all the possible subcommittees that include Michael also include Anthony?
Choices:
30%
40%
50%
60%
Answer: B
Question: What is the remainder when 23415 is divided by 3?
Choices:
0
2
3
4
Answer: A
Question: 217 + 2.017 + 0.217 + 2.0017 = ?
Choices:
229.7563
229.6357
229.5637
221.2357
Answer: D
Question: If x/(11p) is an even prime number, where x is a positive integer and p is a prime number, what is the least value of x?
Choices:
33
44
66
99
Answer: B
Question: ? x 40 = 173 x 240
Choices:
685
1038
495
534
Answer: B
Question: Pick a team of 3 people from a group of 10 people.
Choices:
b) 40
c) 80
d) 120
e) 210
Answer: C
Question: If from a group of 5 people, an old member is replaced by a new one, the average age is same as it was 3 years ago. What is the difference between the ages of the old member and the new one?
Choices:
15
19
66
19
Answer: A
Question: a equilateral triangle having one side 5m.in this triangle there is a square of side 2m.calculate the percentage of area outside square in that triangle.
Choices:
54
63.04
62
60
Answer: B
Question: A palindrome is a number that reads the same forward and backward, such as 144. How many odd, 4-digit numbers are palindromes?
Choices:
45
50
62
2500
Answer: C
Question: In how many ways can you sit 8 people on a bench if 4 of them must sit together?
Choices:
2,160
2,880
4,320
40,320
Answer: B
Question: If two of the four expressions x+y, x+5y, x-y, 5x+y are chosen at random, what is the probability that their product will be of the form of x^2 - (by)^2, where b is an integer?
Choices:
1/3
1/4
1/5
1/6
Answer: D
Question: The average of marks obtained by 120candidates was 35. If the avg of marks of passed candidates was 39 & that of failed candidates was 39 and that of failed candidates was 15, the no.of candidates who passed the examination is?
Choices:
90
100
120
140
Answer: B
Question: A fair price shopkeeper takes 10% profit on his goods. He lost 20% goods during theft. His loss percent is:
Choices:
13
12
18
19
Answer: B
Question: If a is a positive integer, then 2^a + 2^(a + 1) =
Choices:
2^(a + 1)
2a
2a^(a + 1)
3(2^a)
Answer: D
Question: If x, y, and z are all factors of 33, which of the following must be true?
Choices:
Either x = y, y = z, or x = z
x – y – z = even
The product xyz is odd
yz/x is an integer
Answer: C
Question: If the average (arithmetic mean) of x, x + 2, and x + 4 is 63, what is the value of x?
Choices:
62
64
61
66
Answer: C
Question: A goods train runs at a speed of 72 kmph and crosses a 280 m long platform in 26 seconds.What is the length of the goods train?
Choices:
240 m
260 m
270 m
250 m
Answer: A
Question: If 6 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is:
Choices:
12:15:20
20:15:12
6:8:10
6:8:12
Answer: B
Question: If an amount of Rs 11,180 is divided equally among
52 students, approximately how much amount will
each student get?
Choices:
Rs 215
Rs 213
Rs 218
None
Answer: A
Question: Three years ago , the average age of A, B and C was 27 years and that of B and C 5 years ago was 20 years. A’s present age is :
Choices:
88
40
87
17
Answer: B
Question: Pipes A and B can fill a tank in 4 and 6 hours. Pipe C can empty it in 8 hours. If all pipes are opened together, then the tank will be filled in?
Choices:
22/7 hr
52/11 hr
6 hr
63/19 hr
Answer: A
Question: There are 4 boys and 2 girls. In how many ways can they be seated in a row so that all the two girls do not sit together?
Choices:
716
564
846
478
Answer: A
Question: What is the remainder when 4990990900032 is divided by 32 ?
Choices:
0
4
2
5
Answer: A
Question: Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D parked 16 cars for 15 days. If A paid Rs. 1125 as rent for parking his cars, what is the total rent paid by all the four agencies?
Choices:
6187
6128
6150
6113
Answer: C
Question: The base and height of a parallelogram are 12m and 6m respectively. Then its area is ======?
Choices:
126Sq.m
84Sq.m
18Sq.m
72Sq.m
Answer: D
Question: The length T of a rectangle is decreased by 15% and its width is increased by 40%. Does the area of the rectangle decrease or increase and by what percent?
Choices:
Decreases by 25%
Increases by 6%
Increases by 19%
Increases by 25%
Answer: C
Question: The floor of a rectangular room is 20 m long and 12 m wide. The room is surrounded by a veranda of width 2 m on all its sides. The area of the veranda is :
Choices:
144 m2
108 m2
158 m2
None of these
Answer: A
Question: Pumping alone at their respective constant rates, one inlet pipe fills an empty tank to 1/2 of capacity in 6 hours and a second inlet pipe fills the same empty tank to 2/3 of capacity in 6 hours. How many hours will it take both pipes, pumping simultaneously at their respective constant rates, to fill the empty tank to capacity?
Choices:
3.6
4.2
4.4
5.14
Answer: D
Question: Anup start a bike at 6am. and rides it at 60kmph. Raghu started at 7pm with his car at 70kmph. When will Raghu overtake Anup?
Choices:
9:40am
10:00am
01:00pm
11:10am
Answer: C
Question: The average of first thirteen prime numbers which are odd is?
Choices:
21.15
22.15
23.15
24.15
Answer: A
Question: A train passes a station platform in 48 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:
166
420
157
198
Answer: B
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%?
Choices:
20%
27%
40%
70%
Answer: A
Question: A Car comes with 7 different possible exterior colors and 6 different interior colors. How many different color combinations are there?
Choices:
42
7!6!/2!
7!6!
13!/2!
Answer: A
Question: Two goods trains each 750 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choices:
72
48
51
44
Answer: A
Question: Tough and Tricky questions: Combinations.
seven contestants representing four different countries advance to the finals of a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded?
Choices:
7
12
16
21
Answer: D
Question: Average of five numbers is -10, and the sum of three of the numbers is 16, wat is the average of the other 2 no's?
Choices:
-33
-34
-39
32
Answer: A
Question: A, B and C enter into a partnership. A initially invests Rs. 25 lakhs and adds another Rs. 10 lakhs after one year. B initially invests Rs. 35 lakhs and withdraws Rs. 10 lakhs after 2 years and C invests Rs. 30 lakhs. In what ratio should the profits be divided at the end of 3 years ?
Choices:
20:17:23
19:19:18
5:4:9
None of these
Answer: B
Question: A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is ?
Choices:
7/18
7/12
7/11
7/15
Answer: D
Question: If k^3 is divisible by 84, what is the least possible value of integer k?
Choices:
42
48
56
60
Answer: A
Question: The seating chart of an airplane shows 30 rows of seats. Each row has 3 seats on each side of the center aisle, and one of the seats on each side is a window saet. The view from the window seats in 20 of the rows is obscured by the wings of the airplane. If the first person to be assigned a seat is assigned a window seat and thw window seat is assigned randomly, what is the probability that the person will get a seat with an unobscured view?
Choices:
1/3
2/3
5/6
17/18
Answer: A
Question: A pool which was 1/5 full to begin with, was filled at a constant rate for 6/5 hours until it was until it was 8/9 full. At this rate, how much time would it take to completely fill this pool if it was empty to begin with?
Choices:
9 hrs.
9 hrs 30 mins.
1 hrs 45 mins.
15 hrs 30 mins
Answer: C
Question: The difference between the number and its three fifth is 40, what is the number?
Choices:
100
90
120
130
Answer: A
Question: The three digits of a number add up to 26. The number is divisible by 5. The leftmost digit is double the middle digit. What is the product of the three digits?
Choices:
460
500
520
490
Answer: D
Question: A trader sells 40 metres of cloth for Rs.8200 at a profit of Rs.25 per metre of cloth. How much profit will the trder earn on 40 metres of cloth?
Choices:
Rs.1500
Rs.1000
Rs.1200
None of these
Answer: B
Question: Three 6 faced dice are thrown together. The probability that all the three show the same number on them is
Choices:
1/36
1/18
1/76
1/10
Answer: A
Question: If the seventh day of a month is three days earlier than Friday, What day will it be on the nineteenth day of the month?
Choices:
Monday
Sunday
Wednesday
Friday
Answer: B
Question: A man buys two articles for Rs.1980 each and he gains 10% on the first and loses 10% on the next. Find his total gain or loss percent?
Choices:
9
4
8
3
Answer: A
Question: How many 4 digit even numbers do not use any digit more than once
Choices:
2160
2240
2460
2520
Answer: B
Question: 242 students represent x percent of the boys at a school. If the boys at the school make up 50% of the total school population of x students, what is x?
Choices:
150
180
200
220
Answer: D
Question: A water tank is two-fifth full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?
Choices:
6 min. to empty
9 min. to empty
9 min. to full
8 min. to full
Answer: A
Question: If 13 = 13w/(1-w) ,then (4w)2 =
Choices:
1/2
1
2
4
Answer: D
Question: The positive number a is w percent greater than the positive number b, which is p percent less than a itself. If a is increased by p percent, and the result is then decreased by w percent to produce a positive number c, which of the following could be true?
I. c > a
II. c = a
III. c < a
Choices:
II only
III only
I and II only
II and III only
Answer: B
Question: How many seconds will a 500 meter 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:
678 meters
500 meters
126 meters
107 meters
Answer: B
Question: The banker's discount on a bill due 4 months hence at 15% is Rs. 420. The true discount is:
Choices:
400
129
176
186
Answer: A
Question: Tom drives from town W to town B, driving at a constant speed of 60 miles per hour. From town B Tom immediately continues to town C. The distance between W and B is twice the distance between B and C. If the average speed of the whole journey was 36 mph, then what is Tom's speed driving from B to C in miles per hour?
Choices:
20
24
30
36
Answer: A
Question: If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is ?
Choices:
4/18
4/76
4/13
4/29
Answer: C
Question: If 36 men can do a piece of work in 25 hours, in how many hours will 10 men
do it ?
Choices:
90 hours
30 hours
62 hours
66 hours
Answer: A
Question: A box contains 100 balls, numbered from 1 to 100. If 3 balls are selected at random and with replacement from the box. If the 3 numbers on the balls selected contain two odd and one even. What is the probability R that the first ball picked up is odd numbered?
Choices:
1/3
1/2
2/3
1
Answer: C
Question: Find the odd man out? 3, 7, 15, 17, 22, 27, 29
Choices:
17
22
27
0
Answer: B
Question: To fill a tank, 20 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 one-fifth of its present ?
Choices:
100
300
400
500
Answer: A
Question: Priya and Ishita start a business with Rs.15000 each, and after 3 months, Ishita withdraws half of her capital . How should they share the profits at the end of the 15 months?
Choices:
12:7
4:3
3:2
12:5
Answer: A
Question: When a certain shoe store reduces the price of its best-selling style of shoe by 10 percent, the weekly sales of this style increase by 10 percent. Which of the following best describes the resulting change in the store's weekly revenue from sales of this style of shoe?
Choices:
Revenue decreases by 1%
There is no change in revenue
Revenue increases by 1%
Revenue increases by 10%
Answer: A
Question: Taylor is making a bracelet. He Starts with 4 blue knots, 6 red knots, and 1 yellow knots, in that order, and repeats the pattern until there is no more string. If the last Knot is yellow which of the following could be the total number of knots on the bracelet.
Choices:
90
95
87
102
Answer: C
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?
Choices:
190
277
288
261
Answer: A
Question: A cement mixture is composed of 3 elements. By weight, 1/3 of the mixture is sand, 1/2 of the mixture is water, and the remaining 8 pounds of the mixture is gravel. What is the weight of the entire mixture in pounds?
Choices:
36
42
46
48
Answer: D
Question: Out of 10 persons working on a project, 5 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
Choices:
5/3
5/1
5/6
11/12
Answer: D
Question: A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long?
Choices:
3 mins
7 mins
9 mins
4 mins
Answer: A
Question: A fruit seller had some oranges. He sells 20% oranges and still has 380 oranges. How many oranges he had originally?
Choices:
475
220
400
None of these
Answer: A
Question: Working at their respective constant rates, machine A makes 100 copies in 15 minutes and machine B makes 150 copies in 10 minutes. If these machines work simultaneously at their respective rates for 30 minutes, what is the total number of copies that they will produce?
Choices:
425
650
700
750
Answer: B
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
Choices:
12/451
12/455
22/455
12/459
Answer: B
Question: A man purchases an electric heater whose printed price is 160 if he received two successive discounts of 20% and 10% he paid:
Choices:
Rs. 115.20
Rs.450
Rs.120
Rs.140
Answer: A
Question: How many of the following numbers are divisible by 132 ?
264, 396, 462, 792, 968, 2178, 5184, 6336
Choices:
4
7
8
9
Answer: A
Question: A sum of money place at compound interest doubles itself in 2.5 years. In how many years will it amount to eight times itself?
Choices:
7.5 years
22.5 years
25 years
27.5 years
Answer: A
Question: There are 8 red, 7 blue and 6 green balls, 1 ball is picked up randomly thenwhat is the probability that neither blue nor green?
Choices:
3/13
4/15
2/13
8/21
Answer: D
Question: A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?
Choices:
8/3
3/5
5/8
5/3
Answer: A
Question: Jane can make a handcrafted drum in 4 weeks. Zane can make a similar handcrafted drum in 6 weeks. If they both work together, how many weeks will it take for them to produce 15 handcrafted drums?
Choices:
36
70
80
150
Answer: A
Question: The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.9500. If his salary for the month of May is Rs.6500, find his salary for the month of January?
Choices:
Rs.500
Rs.700
Rs.1500
Rs.2500
Answer: A
Question: In a contest, four fruits (an apple, a banana, an orange, and a pear) have been placed in four closed boxes (one fruit per box). People may guess which fruit is in which box. 123 people participate in the contest. When the boxes are opened, it turns out that 43 people have guessed none of the fruits correctly, 39 people have guessed one fruit correctly, and 31 people have guessed two fruits correctly.How many people have guessed three fruits correctly, and how many people have guessed four fruits correctly?
Choices:
5
8
10
6
Answer: C
Question: A certain sum of money is divided among A, B and C such that A gets one-third of what B and C together get and B gets two-seventh of what A and C together get. If the amount received by A is $20 more than that received by B, find the total amount shared by A, B and C.
Choices:
$420
$720
$220
$200
Answer: B
Question: Out of 7 constants and 4 vowels how many words of 3 consonants and 2 vowels can be formed?
Choices:
36512
45120
54120
25200
Answer: D
Question: Sony and Johnny caught 40 fishes. Sony caught four times as many as Johnny. How many fishes did Johnny catch?
Choices:
16
34
38
8
Answer: D
Question: plot ABCD is as shown in figure, where AF = 30 m, CE = 40 m, ED = 50 m, AE = 120 m. Find the area of the plot ABCD?
Choices:
7208 sq.m
8200 sq.m
7200 sq.m
7202 sq.m
Answer: C
Question: A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:
Choices:
Rs. 11,900
Rs. 13,600
Rs. 14,700
Rs. 15,000
Answer: C
Question: A jar contains 20 red, 20 blue, 6 yellow and 4 pink balls. If two balls are to be selected at random and without replacement, approximately what is the probability both of them to be the same colour?
Choices:
1/15
1/3
1/2
1
Answer: B
Question: The bankers discount and the true discount of a sum at 5% per annum simple interest for the same time are Rs.60 and Rs.40 respectively. What is the sum and the time?
Choices:
Sum = Rs.160 and Time = 10 years
Sum = Rs.140 and Time = 10 years
Sum = Rs.120 and Time = 10 years
None of these
Answer: C
Question: The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
Choices:
260
245
267
208
Answer: B
Question: A monkey climbs 30 feet at the beginning of each hour and rests for a while when he slips back 20 feet before he again starts climbing in the beginning of the next hour. If he begins his ascent at 9.00 a.m., at what time will he first touch a flag at 120 feet from the ground?
Choices:
5 p.m.
6 p.m.
7 p.m.
None of these
Answer: C
Question: How many even 3 digit integers greater than 700 with distinct non zero digits are there ?
Choices:
243
108
88
77
Answer: B
Question: Three machines operating independently, simultaneously, and at the same constant rate can fill a certain production order in 28 hours. If one additional machine were used under the same operating conditions, in how manyfewerhours of simultaneous operation could the production order be fulfilled?
Choices:
7
12
27
48
Answer: A
Question: Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number is?
Choices:
36
88
99
55
Answer: A
Question: The number of new words that can be formed by rearranging the letters of the word 'LIVE' is
Choices:
32
50
32
23
Answer: D
Question: By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?
Choices:
38000
27888
27288
28112
Answer: A
Question: In basket A there are 2 apples and 3 oranges, in basket B there are 2 apples and 5 oranges. A basket is chosen at random, what is the probability of picking up an orange in basket B?
Choices:
5/12.
3/10.
5/14.
2/3.
Answer: C
Question: The average (arithmetic mean) of y numbers is x. If 20 is added to the set of numbers, then the average will be x - 5. What is the value of y in terms of x ?
Choices:
x/6 - 5
x/7 - 5
x/5 - 5
x/5 - 6
Answer: C
Question: What is the sum of the greatest common factor and the lowest common multiple of 16 and 36?
Choices:
148
144
157
164
Answer: A
Question: The average age of students in section A of 100 students is 20 years and the average age of students in section B of 150 students is 30 years. Find the average age of students in both sections taken together?
Choices:
26 years
15years
25years
20years
Answer: A
Question: The letters of the word WOMAN are written in all possible orders and these words are written out as in a dictionary ,then the rank of the word 'WOMAN' is
Choices:
117
118
119
116
Answer: A
Question: In a mixed college 160 students are there in one class. Out of this 160 students 5/8 students are girls. How many boys are there ?
Choices:
B)60
C)80
D)120
E)140
Answer: A
Question: Which one the following fractions has the Lowest value?
Choices:
B)499/850
C)477/850
D)511/850
E)501/850
Answer: B
Question: The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years, The ratio of the number of boys to the number of girls in the class is
Choices:
2 : 3
9 : 3
6 : 3
2 : 5
Answer: A
Question: Find the area of circle whose radius is 7m?
Choices:
154
767
168
178
Answer: A
Question: The value of a car depreciates at the rate of 40% every year. It was purchased 3 years ago. If its present value is Rs. 864, its purchase price was
Choices:
4000
3500
3000
2500
Answer: A
Question: Find how many positive integers less than 10,000 are there suchthat the sum of the digits of the no. is divisible by 3?
Choices:
2346
5678
3334
4567
Answer: C
Question: Last year Manfred received 26 paychecks. Each of his first 6 paychecks was $750; each of his remaining paychecks was $60 more than each of his first 6 paychecks. To the nearest dollar, what was the average (arithmetic mean) amount of his pay checks for the year?
Choices:
$796
$765
$773
$775
Answer: A
Question: A coin is tossed live times. What is the probability that there is at the least one tail?
Choices:
31/32
31/39
31/12
31/39
Answer: A
Question: If ‘+’ means ‘×’, ‘-‘ means ‘+’, ‘×’ means ‘÷’ and ‘÷’ means ‘-‘ then find the value of;
10 – 9 + 8 × 3 ÷ 20 =
Choices:
10
14
-2
8
Answer: B
Question: In what time will a railway train 20 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Choices:
1 sec
9 sec
6 sec
2 sec
Answer: D
Question: A used car dealer sold one car at a profit of 25 percent of the dealers purchase price for that car and sold another car at a loss of 20 percent of the dealers purchase price for that car. If the dealer sold each car for $20,000 , what was the dealers total profit or loss, in dollars, for the two transactions combined?
.
Choices:
2000 profit
1000 loss
2000 loss
3334 loss
Answer: B
Question: Aaron will jog from home at 5 miles per hour and then walk back home by the same route at 10 miles per hour. How many miles from home can Aaron jog so that he spends a total of 3 hours jogging and walking?
Choices:
18
10
12
14
Answer: B
Question: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2430?
Choices:
s.810
s.820
s.900
s.920
Answer: A
Question: A man invested Rs. 4455 in Rs. 10 shares quoted at Rs. 8.25. If the rate of dividend be 12%, his annual income is:
Choices:
Rs. 534.60
Rs. 648
Rs. 655.60
Rs. 685.60
Answer: B
Question: Evaluate combination
15C5
Choices:
3003
10
1
0
Answer: A
Question: At what rate percent of simple interest will a sum of money double itself in 33 years?
Choices:
4.54 %
8 .2 %
3.03 %
5.54 %
Answer: C
Question: When a train travels at a speed of 70kmph,it reaches the destination on time.when the same train travels at a speed of 50kmph,it reaches its destination 15min late.what is the length of journey?
Choices:
37.5km
60km
85.5km
95km
Answer: A
Question: John makes $60 a week from his job. He earns a raise andnow makes $72 a week. What is the % increase?
Choices:
20%
16.56%
17.66%
18.1%
Answer: A
Question: At what time between 7 and 8 o'clock will the hands of a clock be in the same straight line but,not together?
Choices:
(5 + 5/11 )min past7
(5 + 5/11 )min past2
(5 + 5/11 )min past1
(5 + 5/11 )min past8
Answer: A
Question: There are 42 people in a certain community who belong to the local golf club, tennis club or both clubs. If twice as many people belong to the tennis club as belong to the golf club, what could be the number of people who belong to both clubs?
Choices:
2) 7
3) 12
4) 21
5) 27
Answer: B
Question: A fruit seller had some oranges. He sells 40% oranges and still has 300 oranges. How many oranges he had originally?
Choices:
700
220
500
None of these
Answer: C
Question: In May Mrs Lee's earnings were 50 percent of the Lee family's total income. In June Mrs Lee earned 20 percent more than in May. If the rest of the family's income was the same both months, then, in June, Mrs Lee's earnings were approximately what percent of the Lee family's total income ?
Choices:
55
34
78
23
Answer: A
Question: A dishonest dealer professes to sell goods at the cost price but uses a false weight and gains 25%. Find his false weight age?
Choices:
277
800
2878
211
Answer: B
Question: If a : b = 5 : 9 and b : c = 4: 7, find a : b : c
Choices:
36:20:63
20:63:36
20:36:63
None of them
Answer: C
Question: The ratio of the ages of Anil and his son at present is 7 : 3. Six years hence, the ratio of the ages of the Anil's wife and the son will be 2 : 1. Find the ratio of the present ages of Anil and his wife?
Choices:
4:1
3:2
Cannot be determined
None of these
Answer: C
Question: There are 50 girls in a dance group in a private school. 30% of them dance hip hop and 80% dance ballet. How many of them dance both hip hop or ballet?
Choices:
5
15
20
25
Answer: A
Question: If 40% of a number is 24, then the number is
Choices:
number is 60
number is 90
number is 80
None of these
Answer: A
Question: A worker makes a toy in every 3h. If he works for 150h, then how many toys will he make ?
Choices:
54
45
50
None
Answer: C
Question: If a tap could fill entire tank in 18 hrs due to leakage, then in how much time
tank can be emptied by leakage if tap can fill entire tank in 15 hrs without leakage
Choices:
24hrs
36hrs
48hrs
90hrs
Answer: D
Question: Before January, the price of a dress was D and the price of a matching pair of shoes was H. In January, the price of the dress increased by 40% and the price of the shoes increased by 50%. In March, Roberta bought both items with a 30% discount. If D = 2H, which of the following represents the amount that Roberta paid?
Choices:
D + H – 1
D + 2H
3.01H
1.21D
Answer: C
Question: The amount of an investment will double in approximately 70/ p years, where p is the percent interest, compounded annually. If Thelma invests $ 40,000 in a long-term CD that pays 5 percent interest, compounded annually, what will be the approximate total value of the investment when Thelma is ready to retire 56 years later?
Choices:
$ 320,000
$ 360,000
$ 450,000
$ 640,000
Answer: D
Question: Jar A has 6% more marbles than Jar B . What percent of marbles from Jar A need to be moved into Jar B so that both jars have equal marbles?
Choices:
2.8%
3.2%
3.4%
3.6%
Answer: A
Question: Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is:
Choices:
Rs 3000
Rs 5000
Rs 4500
Rs 6000
Answer: B
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:
169
245
178
119
Answer: B
Question: What should come in place of the question mark (?) in the following equation?
5978 + 6134 + 7014 = ?
Choices:
16226
19216
19126
None of these
Answer: C
Question: If the numbers 20,15,11,17,21,24,10,14 have average 16.5, then what is the average of the numbers if each given numbers is multiplied by 2?
Choices:
53
43
23
33
Answer: D
Question: A driver just filled the car's gas tank with 54 liters of gasohol, a mixture consisting of 5% ethanol and 95% gasoline. If the car runs best on a mixture consisting of 10% ethanol and 90% gasoline, how many liters of ethanol must be added into the gas tank for the car to achieve optimum performance?
Choices:
2
2.4
2.7
3
Answer: D
Question: Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 30 minutes. The waste pipe can empty the full cistern in?
Choices:
7.5 min
5 min
9 min
4 min
Answer: A
Question: A certain company employs 7 senior officers and 4 junior officers. If a committee is to be created, that is made up of 3 senior officers and 1 junior officer, how many different committee are possible?
Choices:
24
58
140
210
Answer: C
Question: Ajay can walk 10km in 1 hour. In how many hours he can walk 50km?
Choices:
5hrs
15hrs
20hrs
30hrs
Answer: A
Question: The radius of a semi circle is 6.5 cm then its perimeter is?
Choices:
32.4
33.4
32.8
32.1
Answer: B
Question: The average of 6 no.'s is 3.95. The average of 2 of them is 3.6, while the average of the other 2 is 3.85. What is the average of the remaining 2 no's?
Choices:
4.4
4.6
5.6
5.7
Answer: A
Question: A 300 meter long train crosses a platform in 30 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Choices:
266
230
288
200
Answer: D
Question: 657.987 - ? + 56.84 = 324.943
Choices:
B)752.804
C)389.884
D)629.906
of these
Answer: B
Question: The G.C.D. of 1.08, 0.36 and 0.7 is:
Choices:
0.02
0.18
0.108
0.118
Answer: A
Question: Find the odd man out. 2, 5, 10, 17, 26, 38, 50, 65
Choices:
38
26
65
50
Answer: A
Question: There are two taps, which are used to fill the tank and one tap to empty the tank. First tap fill the tank in 10 min., while the second takes quarter of an hour to fill the tank if both are operated independently.Third tap is capable of emptying the tank in seven and a half minutes. If all the taps are opened simultaneously how long (if ever) will it take for the tank to get filled completely?
Choices:
20 minutes
30 minutes
40 minutes
50 minutes
Answer: B
Question: How many numbers between 100 and 714 are divisible by 2, 3, and 7 together?
Choices:
77
267
15
99
Answer: C
Question: The population of Linterhast was 3,600 people in 1990 and 4,800 people in 1993. If the population growth rate per thousand is constant, then what will be the population in 1996?
Choices:
6400
7200
8000
9600
Answer: A
Question: A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
Choices:
110
120
121
123
Answer: B
Question: A certain office supply store stocks 2 sizes of self-stick notepads, each in 8 colors. The store packs the notepads in packages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible?
Choices:
8
16
124
128
Answer: D
Question: An investment yields an interest payment of $231 each month. If the simple annual interest rate is 9%, what is the amount of the investment?
Choices:
$30,800
$31,300
$32,500
$35,100
Answer: A
Question: A case contains C cartons. Each carton contains B boxes, and each box contains 200 paper clips. How many paper clips are contained in 2 cases?
Choices:
200B/C
400BC
400B/C
400/BC
Answer: B
Question: Which of the following data sets has the second largest standard deviation?
Choices:
{2, 3, 3, 3, 4}
{2, 2, 2, 4, 5}
{0, 2, 3, 4, 6}
{-1, 1, 3, 5, 7}
Answer: C
Question: If the number of boys in a class are 8 times the number of girls, which value can never be the total number of students?
Choices:
42
41
40
39
Answer: A
Question: A carpenter makes 5 bunk beds every day. A military school needs to organize a place to sleep for 143 soldiers. If there are 5 carpenters working on the job, how many whole days in advance should they receive the order and start working in order to finish the right number of beds assuming that each bunk- bed is used by two soldiers?
Choices:
4.
5.
6.
7.
Answer: B
Question: A dishonest dealer professes to sell his goods at Cost Price but still gets 20% profit by using a false weight. What weight does he substitute for a kilogram?
Choices:
833 1/3 grams
833 8/3 grams
933 1/3 grams
833 1/4 grams
Answer: A
Question: For how many integers pair (x,y) satisfies the result
(1/x)+((1/y)=1/14
Choices:
b) 6
c) 10
d) 16
e) 18
Answer: D
Question: The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 44 with him, what was the average amount with the group before his joining the group?
Choices:
s.16
s.15
s.22
s.12
Answer: A
Question: A student traveled 30 percent of the distance of the trip alone, continued another 40 miles with a friend, and then finished the last half of the trip alone. How many miles long was the trip?
Choices:
140
160
180
200
Answer: D
Question: Solution for 1.35+.123+.321
Choices:
1.794
1.338
1.986
1.999
Answer: A
Question: By selling 24 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
Choices:
16
6
4
9
Answer: A
Question: Solution X is 40% chemical A and 60% chemical B by volume. Solution Y is 50% chemical A and 50% chemical B by volume. If a mixture of X and Y is 47% chemical A, what percent of the mixture is Solution X?
Choices:
20%
25%
30%
35%
Answer: C
Question: A trader bought a car at 20% discount on its original price. He sold it at a 80% increase on the price he bought it. What percent of profit did he make on the original price?
Choices:
13%
12%
32%
44%
Answer: D
Question: For what value of â€œkâ€ will the equation (2kx2 + 3kx +2)=0 have equal roots?
Choices:
9/4
16/25
7/1
16/9
Answer: D
Question: The closest approximation of Q=(69.28 × 0.004)/0.03 is
Choices:
0.92
9.2
92
920
Answer: B
Question: 1,2,2,4,8,32,?(mult)
Choices:
2816
2812
2817
6816
Answer: A
Question: The elevator in an eleven-story office building travels at the rate of one floor per 1/4 minute, which allows time for picking up and discharging passengers. At the main floor and at the top floor, the operator stops for 1 minute. How many complete trips will an operator make during a 5-hour period?
Choices:
56
45
42
64
Answer: C
Question: man is 28 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
Choices:
26 years
17 years
18 years
22 years
Answer: A
Question: Crew A can build a complete car in 20 minutes and Crew B can build a complete car in 25 minutes. If both crews work independently and start at the same time, what is the shortest amount of time R it could take for 10 cars to be complete?
Choices:
115 2/5 minutes
116 minutes
120 minutes
125 minutes
Answer: C
Question: The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
Choices:
240
245
250
255
Answer: B
Question: R campers fished for 5 hours. If m of the campers caught 2 fish apiece and the rest caught a combined total of n fish, how many fish did the R campers catch per hour?
Choices:
(2m + n(R-m))/3
(2m + n(m-R))/3
(2m + n)/5
(2m + n)/R
Answer: C
Question: if the angles of an n sided polygon are in A.P and a>=20 and d>=20 then wat is the maximum possible value of n?
Choices:
14
21
25
cant determine
Answer: A
Question: In a class Students are seated in 15 rows. There are 15 students in the first row and 16 students in the second row. In each subsequent row there are 2 more students than in the previous row. Find the total number of students in the class?
Choices:
420
521
460
421
Answer: D
Question: By how much is three-fifth of 350 greater than four-seventh of 210 ?
Choices:
90
110
120
130
Answer: A
Question: Each month, after Jill pays for rent, utilities, food, and other necessary expenses, she has one fifth of her net monthly salary left as discretionary income. Of this discretionary income, she puts 30% into a vacation fund, 20% into savings, and spends 35% on eating out and socializing. This leaves her with $111 dollar, which she typically uses for gifts and charitable causes. What is Jill’s net monthly salary?
Choices:
$3200
$6000
$6400
$3700
Answer: D
Question: If the number 517*324 is completely divisible by 3, then the smallest whole number in the place of * will be:
Choices:
2
3
4
5
Answer: A
Question: In a division, divident is 690, divisior is 36 and quotient is 19. Find the remainder.
Choices:
B)3
C)2
D)5
E)6
Answer: D
Question: A present value of a machine is $900. Its value depletiation rate is 25% per annum then find the machine value before 2 years?
Choices:
$1200
$1600
$1000
$1350
Answer: B
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 30, the dividend is:
Choices:
B)5330
C)2280
D)5340
E)5342
Answer: B
Question: The length of the bridge, which a train 200 metres long and travelling at 60 km/hr can cross in 30 seconds, is?
Choices:
470
270
370 m.
570
Answer: C
Question: 4000 was divided into two parts such a way that when first part was invested at 3% and the second at 5%, the whole annual interest from both the investments is Rs.144, how much was put at 3%?
Choices:
2690
2800
2692
2981
Answer: B
Question: There are 30 students in a certain geometry class. If two thirds of the students are boys and three fourths of the boys are under six feet tall, how many boys in the class are under six feet tall?
Choices:
12
15
24
27
Answer: B
Question: 96% of the population of a village is 23040. The total population of the village is?
Choices:
1689
6795
24000
12654
Answer: C
Question: Value of
(256)5/4
Choices:
1024
1048
525
None of these
Answer: A
Question: A car traveled 281 miles in 4 hours 41 minutes. What was the average speed of the car in miles per hour?
Choices:
90 miles / hour
70 miles / hour
60 miles / hour
30 miles / hour
Answer: C
Question: The average score in an examination of 10 students of a class is 60. If the scores of the top five students are not considered, the average score of the remaining students falls by 5. The pass mark was 50 and the maximum mark was 100. It is also known that none of the students failed. If each of the top five scorers had distinct integral scores, the maximum possible score of the topper is
Choices:
99
92
94
97
Answer: A
Question: A student is ranked 21th from right and 11th from left. How many students are there in totality ?
Choices:
19
20
31
22
Answer: C
Question: In the formula V = 1/(3r)^4, if r is halved, then V is multiplied by
Choices:
8
16
1/8
1/64
Answer: B
Question: A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
Choices:
18 seconds
40 seconds
19 seconds
45 seconds
Answer: B
Question: In the Hillside summer camp there are 50 children. 90% of the children are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of children in the camp. How many more boys must she bring to make that happen?
Choices:
50
40.
30.
25.
Answer: A
Question: At the end of year X, automobile installment credit accounted for 43% of all outstanding consumer installment credit. At that time automobile finance companies extended $50 billion of credit, or 1/4 of the automobile installment credit. How many billion dollars of consumer installment credit was outstanding at that time?
Choices:
465.12
475
500.15
200
Answer: A
Question: Circular gears P and Q start rotating at the same time at constant speeds. Gear P makes 10 revolutions per minute and Gear Q makes 40 revolutions per minute. How many seconds after the gears start rotating will gear Q have made exactly 45 more revolutions than gear P?
Choices:
80
90
100
120
Answer: B
Question: A cistern is filled by pipe A in 12 hours and the full cistern can be leaked out by an exhaust pipe B in 18 hours. If both the pipes are opened, in what time the cistern is full?
Choices:
60hrs
36hrs
80hrs
90hrs
Answer: B
Question: A 72 gallon solution of salt and water is 10% salt. How many gallons of water must be added to the solution in order to decrease the salt to 8% of the volume?
Choices:
12
18
14
16
Answer: B
Question: A pet shop sells 50 rabbits for Rs. 2000 at a profit of Rs. 12 per rabbit. Find the cost price for one rabbit?
Choices:
52
28
40
15
Answer: B
Question: A computer system uses alphanumeric case sensitive characters for its passwords. When the system was created it required users to create passwords having 4 characters in length. This year, it added the option of creating passwords having 5 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 62 unique alphanumeric case sensitive characters.
Choices:
62^5
62(62^4)
63(62^4)
63(62^6)
Answer: C
Question: A can do a work in 20 days. B is 30% more efficient than A. How many days does B alone take to do the same job?
Choices:
129/12
198/13
200/13
199/18
Answer: C
Question: Harry is a trail runner who decides to take a day off work to run up and down a local mountain. He runs uphill at an average speed of 5 miles per hour and returns along the same route at an average speed of 10 miles per hour. Of the following, which is the closest to his average speed, in miles per hour, for the trip up and down the mountain?
Choices:
5.8
6.0
6.3
6.6
Answer: D
Question: P and Q started a business with respective investments of Rs. 4 lakhs and Rs. 10 lakhs. As P runs the business, his salary is Rs. 5000 per month. If they earned a profit of Rs. 2 lakhs at the end of the year, then find the ratio of their earnings?
Choices:
1 : 0
1 : 2
1 : 1
1 : 5
Answer: C
Question: When 2/9 of the votes on a certain resolution have been counted, 3/4 of those counted are in favor of the resolution. What fraction f of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution?
Choices:
11/14
4/7
3/7
3/14
Answer: A
Question: Twelve participants are participating in a competition. In how many ways can the first three prizes be won?
Choices:
1320
820
720
620
Answer: A
Question: X,Y and Z can complete a piece of work in 24,6 and 12 days respectively.Working together, they will complete the same work in:
Choices:
24/7days
35/7days
12/24days
45/35days
Answer: A
Question: The last day of the century cannot be:
Choices:
Wednesday
Friday
Saturday
Tuesday
Answer: C
Question: The average of seven numbers is 9. The average of first three numbers is 7 and the average of last three numbers is 11. What is the middle number?
Choices:
8
9
11
10
Answer: B
Question: The first train leaves the station at 6:00 am with a speed of 60 km/hr. The second train leaves at 7:00 am, in the same direction from the same station, with a speed of 80 km/hr. What time will the second train catch the first train?
Choices:
10:00 am
11:00 am
12:00 noon
1:00 pm
Answer: A
Question: A family consists of two grandparents, two parents, and four grandchildren. The average age of the grandparents is 66 years, the average age of the parents is 40 years, and the average age of the grandchildren is 7 years. What is the average age (in years) of the family?
Choices:
28
30
32
34
Answer: B
Question: At a baseball game, 10% of the fans did not wear ball caps, 60% of the remaining fans wore ball caps for the home team. What percentage of the fans wore ball caps for the visiting team?
Choices:
36% of the attendees wore ball caps for the visiting team.
44% of the attendees wore ball caps for the visiting team.
54% of the attendees wore ball caps for the visiting team.
None of these.
Answer: A
Question: Two trains 180 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choices:
18.8 sec
14.24 sec
12.24 sec
11.84 sec
Answer: C
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
Choices:
12/487
12/455
12/416
12/419
Answer: B
Question: A 10-meter long wire is cut into two pieces. If the longer piece is then used to form a perimeter of a square, what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point?
Choices:
3/4
1/5
2/5
3/5
Answer: C
Question: 5 - [5 - {5 - 5(5 + 5)}] = ?
Choices:
-45
45
50
60
Answer: A
Question: A class consists of 5 boys and 5 girls. Given that one kid can only hold one title, in how many ways can you pick 2 boys to be the class clown and the teacher's pet or 2 girls to be the most beautiful girl in class and the smartest kid on the block?
Choices:
18
32
40
240
Answer: C
Question: There are three vessels of equal capacity .Vessel A contains Milk and water in the ratio 7:3 ;Vessel B contains Milk and water in the ratio 2:1 and Vessel C contains Milk and water in the ratio 3:2 .If the mixture in all the three vessels is mixed up.What will be the ratio of milk and water ?
Choices:
59:31
118:126
193:122
201:132
Answer: A