antoine-444/aqua_rat_dataset huggingface dataset:
Question: A $500 investment and a $1,500 investment have a combined yearly return of 10 percent of the total of the two investments. If the $500 investment has a yearly return of 7 percent, what percent yearly return does the $1,500 investment have?
Choices:
10%
105/8%
11%
12%
Answer: C
Question: What is the diffference between the place value and face value of 4 in the numeral 2694?
Choices:
0
5
3
1
Answer: A
Question: A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
Choices:
5/8
5/3
5/1
5/6
Answer: A
Question: Find the average of all prime numbers between 1 and 5.
Choices:
3.6
5.6
6.6
None
Answer: B
Question: Cars P and Q are approaching each other on the same highway. Car P is moving at 46 mph northbound and Car Q is moving at 54 mph southbound. At 2:00 pm, they are approaching each other and 190 miles apart. Eventually they pass each other. At what clock time are they moving away from each other and 35 miles apart?
Choices:
3:45 pm
4:00 pm
4:15 pm
4:30 pm
Answer: C
Question: Peeta asks Katniss, 'It is 6 am as per my watch right now.Do you know what will be the time 23, 999, 998 hours later?'
Katniss knows the answer. Do you ?
Choices:
6pm
4am
3am
8pm
Answer: C
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when a boy gets any no. of prizes?
Choices:
34
64
60
72
Answer: B
Question: Find (7x + 4y ) / (x-2y) if x/2y = 3/2 ?
Choices:
8
7
25
data insufficient
Answer: C
Question: What is the next number in this series?
4,12,84,3612....
Choices:
6526884
6626884
6527884
6526984
Answer: A
Question: In how many ways, a committee of 5 members can be selected from 4 men and 5 ladies, consisting of 3 men and 2 ladies?
Choices:
40
175
200
212
Answer: A
Question: Rs.360 contained in a box consists of one rupee, 50 paisa and 25 paisa coins in the ratio 4:5:6. What is the number of 25 paisa coins?
Choices:
266
120
299
270
Answer: D
Question: In a certain lottery, the probability that a number between 12 and 20, inclusive, is drawn is 1/5 . If the probability that a number 12 or larger is drawn is 2/3 , what is the probability that a number less than or equal to 20 is drawn?
Choices:
8/15
1/3
1/2
5/6
Answer: A
Question: Find the average of first 6 multiples of 5?
Choices:
15
12.5
13
17.5
Answer: D
Question: A car is purchased on hire-purchase. The cash price is $24 000 and the terms are a deposit of 10% of the price, then the balance to be paid off over 60 equal monthly installments. Interest is charged at 12% p.a. What is the monthly installment?
Choices:
$504
$555
$576
$587
Answer: C
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:
400
500
670
800
Answer: D
Question: cube of side one meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?
Choices:
2899
1000
2807
2800
Answer: B
Question: On a certain transatlantic crossing, 20 percent of a ship’s passengers held round-trip tickets and also took their cars abroad the ship. If 80 percent of the passengers with round-trip tickets did not take their cars abroad the ship, what percent of the ship’s passengers held round-trip tickets?
Choices:
40%
60%
80%
100%
Answer: D
Question: There are 15 boys and 10 girls in a class. If three students are selected at random, in how many ways that 1 girl and 2 boys are selected ?
Choices:
1050
2150
2050
1000
Answer: A
Question: consider the sequence 1,-2,3,-4,5,6.....what is the average of the first 200 terms of the sequence?
Choices:
-1/2
0
1/2
3/2
Answer: A
Question: 3 balls are drawn randomly from a bag contains 3 black, 5 red and 4 blue balls. What is the probability that the balls drawn contain balls of different colors?
Choices:
1/2
2/11
3/11
11/13
Answer: C
Question: Of the four numbers, whose average is 40, the first is one-fourth of the sum of the last three. The first number is ?
Choices:
29
11
32
10
Answer: C
Question: In a group of buffaloes and ducks, the number of legs are 24 more than twice the number of heads. What is the number of buffaloes in the group ?
Choices:
10
8
12
14
Answer: C
Question: A man has $ 10,000 to invest. He invests $ 4000 at 5 % and $ 3500 at 4 %. In order to have a yearly income of $ 500, he must invest the remainder at:
Choices:
6.1 %
6.2 %
6.3 %
6.4 %
Answer: D
Question: he average weight of 8 persons increases by 3.5 kg when a new person comes in place of one of them weighing 62 kg. What might be the weight of the new person ?
Choices:
55 kg
45 kg
85 kg
90 kg
Answer: D
Question: 7.51 8.22 7.86 8.36
8.09 7.83 8.30 8.01
7.73 8.25 7.96 8.53
A vending machine is designed to dispense 8 ounces of coffee into a cup. After a test that recorded the number of ounces of coffee in each of 1000 cups dispensed by the vending machine, the 12 listed amounts, in ounces, were selected from the data above. If the 1000 recorded amounts have a mean of 8.5 ounces and a standard deviation of 0.2 ounces, how many of the 12 listed amounts are within 1.5 standard deviation of the mean?
Choices:
Five
Nine
Ten
Eleven
Answer: A
Question: Vinoth can complete a painting work in 20 days. Prakash can do the same work in 25 days. They start the work together but Vinoth quit after 3 days of work. How many days are required to complete the remaining painting work by Prakash.
Choices:
16.25 days
17.25 days
18.25 days
19.25 days
Answer: C
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good
Choices:
125/126
125/128
125/124
125/121
Answer: A
Question: If 180/x is an integer and 108/x is an integer, which of the following must be true?
I. 9/x is an integer.
II. 12/x is an integer.
III. 36/x is an integer.
Choices:
III only
I and II only
II and III only
I only
Answer: A
Question: A train passes a station platform in 35 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:
225 m
300 m
360 m
280 m
Answer: A
Question: Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:
Choices:
4
6
8
9
Answer: A
Question: In a simultaneous throw of two coins, the probability of getting at least one head is
Choices:
1/3
2/3
3/4
3/5
Answer: C
Question: Narendra started a business, investing 30000. Six months later, Chandan joined him with 15000. If they make a profit of 20000 at the end of the year, what should be the share of Narendra?
Choices:
B)Rs.8000
C)Rs.8500
D)Rs.8600
E)Rs.16000
Answer: D
Question: A train 120 m long crosses a platform 120 m long in 6 sec; find the speed of the train?
Choices:
144 kmph
54 kmph
94 kmph
59 kmph
Answer: A
Question: Find the largest number of four digits which is exactly divisible by 27,18,12,15
Choices:
9710
9720
9730
None of these
Answer: B
Question: Jones covered a distance of 50 miles on his first trip. On a later trip he traveled 300 miles while going three times as fast. His new time compared with the old time was:
Choices:
twice as much
a third as much
half as much
the same
Answer: A
Question: The contents of a certain box consist of 24 oranges and 30 kiwis. How many kiwis must be added to the box so that exactly 30% of the pieces of fruit in the box will be oranges?
Choices:
26
30
46
50
Answer: A
Question: A train 250 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?
Choices:
28
29
44
21
Answer: C
Question: A side of an equilateral triangle is tripled. If the previous parameter is 3x, what is the length of one of the sides before it was tripled?
Choices:
3x
1x
2x
6x
Answer: B
Question: If 9 engines consume 24 metric tonnes of coal, when each is working 8 hoursday, bow much coal will be required for 8 engines, each running 13hours a day, it being given that 3 engines of former type consume as much as 4 engines of latter type?
Choices:
24
26
28
None of them
Answer: B
Question: An individual deposited 20% of 25% of 30% of what he had into his account with a bank. If he deposited Rs.750, how much was he having initially with him before depositing?
Choices:
Rs.50000
Rs.5000
Rs.15000
Rs.6000
Answer: A
Question: At what angle the hands of a clock are inclined at 15 minutes past 5?
Choices:
64Â°
135/2Â°
145/2Â°
155/2Â°
Answer: B
Question: A man walks a certain distance and rides back in 6 1⁄4h. He can walk both ways in 7 3⁄4h. How long it would take to ride both ways ?
Choices:
4 1⁄2 hours
4 3⁄4 hours
6 hours
None of these
Answer: B
Question: It is only in the second option we find the sentence A in continuation with the opening sentence D. Sentence A alone explains, why the fear has such enormous effect on the human beings.
Choices:
99
728
27
271
Answer: A
Question: What sum of money will produce Rs.70 as simple interest in 4 years at 3 1/2 percent?
Choices:
500
287
26
281
Answer: A
Question: If x > 1, which of the following decreases as x decreases?
I. x + x^2
II. 1/(2x^2 − x)
III. 1/(x + 1)
Choices:
I only
III only
I and II only
II and III only
Answer: A
Question: the hiker walking at a constant rate of 7 miles per hour is passed by a cyclist traveling in the same direction along the same path at 28 miles per hour. the cyclist stops to wait for the hiker 5 minutes after passing her, while the hiker continues to walk at her constant rate, how many minutes must the cyclist wait until the hiker catches up?
Choices:
15
20
25
30
Answer: A
Question: Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 10 meters and a circumference of 12 meters, and the interior of tank B has a height of 12 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B?
Choices:
90%
100%
110%
120%
Answer: D
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Choices:
140 sq.units
176 sq.units
865 sq.units
143 sq.units
Answer: A
Question: Which of the following is a prime number ?
Choices:
81
93
97
95
Answer: C
Question: A man buys an article for $10. and sells it for $30. Find the gain percent?
Choices:
50%
20%
150%
300%
Answer: D
Question: The average age of 19 persons in a office is 15 years. Out of these, the average age of 5 of them is 14 years and that of the other 9 persons is 16 years. The age of the 15th person is?
Choices:
71
85
92
90
Answer: A
Question: Pavan travelled for 11 hours. He covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph. Find the distance travelled by Pavan.
Choices:
637 km
342 km
300 kilometre
543 km
Answer: C
Question: What is the probability of getting a sum of 12 when rolling 3 dice simultaneously?
Choices:
12/216
21/216
23/216
25/216
Answer: D
Question: A sum of Rs.7000 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.
Choices:
B)4550
C)8383
D)8383
E)3284
Answer: A
Question: In how many ways can the letters of the word ASTERIX be arranged in a row so that the vowels appear in alphabetic order?
Choices:
820
880
960
840 eight hundred forty
Answer: D
Question: There are 3 numbers A, B and C. If A:B = 3/5, B:C = 5/4, C:D = 4/8, then A:D will be?
Choices:
3 : 5
5 : 7
6 : 11
3:8
Answer: D
Question: If y exceeds x by 28%, then x is less than y by?
Choices:
16 8/3%
21 7/8%
76 2/3%
17 2/3%
Answer: B
Question: If 14 men do a work in 80 days, in how many days will 20 men do it?
Choices:
38 days
42 days
48 days
56 days
Answer: D
Question: A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.1446 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum.
Choices:
41897
58799
60000
62782
Answer: C
Question: A soccer team played 160 games and won 65 percent of them. How many games did it win?
Choices:
94
104
114
124
Answer: B
Question: If the numerator of a fraction be increased by 15% and its denominator be diminished by 8%, the value of the fraction is 15/16. Find the original fraction ?
Choices:
3/5
5/7
9/11
3/4
Answer: D
Question: A driver goes on a trip of 50 kilometers, the first 25 kilometers at 66 kilometers per hour and the remaining distance at 33 kilometers per hour. What is the average speed of the entire trip in kilometers per hour?
Choices:
40
44
45
48
Answer: B
Question: The average (arithmetic mean) of the 5 positive integers k, m, r, s, and t is 10, and k < m < r < s < t. If t is 20, what is the greatest possible value of the median of the 5 integers?
Choices:
18
13
20
22
Answer: B
Question: It is given that 2^32 + 1 is exactly divisible by a certain number. Which one of the following is also divisible by the same number R?
Choices:
a. 2^96 + 1
c. 2^16 + 1
d. 7 * 2^33
e. 2^64 + 1
Answer: A
Question: If the product of 10 integers is negative, at most how many of the integers can be negative?
Choices:
3
4
9
6
Answer: C
Question: A cistern can be filled in 9 hours but due to a leak at its bottom it takes 10 hours. If the cistern is full, then the time that the leak will take to make it empty will be ?
Choices:
19 hours
90 hours
80 hours
None of these
Answer: B
Question: A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
Choices:
111.12 m
111.82 m
113.12 m
211.12 m
Answer: A
Question: If the perimeter of a rectangular garden is 600 m, its length when its breadth is 95 m is?
Choices:
899 m
200 m
205 m
187 m
Answer: C
Question: Of the 13 employees in a certain department, 1 has an annual salary of 38,000, 2 have an annual salary of 45,800 each, 2 have an annual salary of 42,500 each, 3 have an annual salary of 40,000 each and 5 have an annual salary of 48,500 each. What is the median annual salary for the 13 employees?
Choices:
40,000
42,500
45,800
48,500
Answer: C
Question: FOG + FOG + FOG + FOG = 1464.
If F,O and G are digits in a three-digit number in the preceding equation the F + O + G = ?
Choices:
12
13
14
15
Answer: D
Question: A rectangular photograph is surrounded by a border that is 1 inch wide on each side. The total area of the photograph and the border is M square inches. If the border had been 3 inches wide on each side, the total area would have been (M + 64) square inches. What is the perimeter of the photograph, in inches?
Choices:
16
32
40
48
Answer: A
Question: How many seconds will a 500 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:
30 sec
87 sec
88 sec
55 sec
Answer: A
Question: Katie has 9 employees that she must assign to 3 different projects. If 3 employees are assigned to each project and no one is assigned to multiple projects, how many different combinations X of project assignments are possible?
Choices:
1,680
2,340
362,880
592,704
Answer: A
Question: How many coins of 0.5 dollars each and 0.7 dollars each together make exactly 4.6 dollars?
Choices:
2,7
3,5
4,3
5,3
Answer: D
Question: An investment of d dollars at k percent simple annual interest yields $500 over a 2 year period. In terms of d, what dollar amount invested at the same rate will yield $2,000 over a 4 year period?
Choices:
2d
(4d)/3
(3d)/2
(8d)/3
Answer: A
Question: The price of a jacket is reduced by 35%. During a special sale the price of the jacket is reduced another 10%. By approximately what percent must the price of the jacket now be increased in order to restore it to its original amount?
Choices:
70.9
48
65
67.5
Answer: A
Question: (469 + 174)(power 2) - (469 - 174)(power 2) / (469 x 174) = ?
Choices:
6
4
8
10
Answer: C
Question: Yukou enjoys reading science-fiction. It is the New Year and he has made a resolution to read a book every week for this year. He has a collection of monster books and space travel books in the ratio of 4:5. He presently has 20 space travel books. How many more books (of each genre) does he need to buy to keep his resolution, without changing the ratio?
Choices:
8 monster, 10 space
8 monster, 9 space
4 monster, 10 space
7 monster, 12 space
Answer: A
Question: Sripad has scored average of 65 marks in three objects. In no subjects has he secured less than 58 marks. He has secured more marks in Maths than other two subjects. What could be his maximum score in Maths ?
Choices:
79
38
27
21
Answer: A
Question: How many odd 4-digit positive integers T that are multiples of 5 can be formed without using the digit 3?
Choices:
648
900
1296
3240
Answer: A
Question: In a certain mathematical activity, we have five cards with five different prime numbers on them. We will distribute these five cards among three envelope: all could go in any envelope, or they could be broken up in any way among the envelopes. Then in each envelop, we find the product of all the cards in that envelope: that is the “number” of the envelope. An envelope containing no cards has the number 1. We then put the three envelope numbers in order, from lowest to highest, and that is our set. How many different K sets can be produced by this process?
Choices:
41
125
243
512
Answer: A
Question: A cylindrical bucket of height 36 cm and radius 21 cm is filled with sand. The bucket is emptied on the ground and a conical heap of sand is formed, the height of the heap being 12 cm. The radius of the heap at the base is :
Choices:
63 cm
56 cm
66 cm
None of these
Answer: A
Question: Louie takes out a three-month loan of $1000. The lender charges him 10% interest per month compunded monthly. The terms of the loan state that Louie must repay the loan in three equal monthly payments. To the nearest dollar, how much does Louie have to pay each month?
Choices:
383
402
433
483
Answer: B
Question: 10x + 2y = -6
8x + y = 3
In the system of equations above, what is the value of x?
Choices:
-4
-2
2
4
Answer: C
Question: How many minutes are there in two right angles?
Choices:
22
17
2888
2880
Answer: D
Question: A cycle is bought for Rs.900 and sold for Rs.1150, find the gain percent?
Choices:
20
27.77
40
12
Answer: B
Question: If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
Choices:
8
9
4
3
Answer: A
Question: A rectangular rug with side lengths of 2 feet and 7 feet is placed on a square floor that has an area of 64 square feet. If the surface of the rug does not extend beyond the area of the floor, what fraction of the area of the floor is not covered by the rug?
Choices:
1/4
C.1/2
25/32
7/8
Answer: C
Question: The sequence x1, x2, x3,..., is such that Xn = 1/n - (1/(n+1)). What is the sum of the first 20 terms of the sequence?
Choices:
99/100
100/101
1/10000
20/21
Answer: D
Question: A car consumes 210 liters of petrol weekly. For how many days will 1470 liters of petrol be sufficient?
Choices:
20
28
49
10
Answer: C
Question: A larger cube has 343 cubic inch as a volume and in the cube there are 343 smaller cubes such that their volume is 1 cubic inch. What is the difference between the surface areas’ sum of the 343 smaller cubes and the surface area of the larger cube, in square inch?
Choices:
64
81
108
1764
Answer: D
Question: How many liters of water must be evaporated from 50 liters of a 3-percent sugar solution to get a 3-percent solution?
Choices:
33 1/3
27
16 2/3
19.5
Answer: D
Question: If s and t are positive integers such that s/t = 84.15, which of the following could be the remainder when s is divided by t ?
Choices:
4
8
20
9
Answer: D
Question: A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choices:
240
772
211
288
Answer: A
Question: Currently mangoes cost 60 cents/pound. Due to a disease affecting the mango trees it is expected that next month mangoes will cost 200% more than they do currently. How much are mangoes expected to cost next month?
Choices:
170 cents /pound
150 cents /pound
190 cents /pound
180 cents /pound
Answer: D
Question: A and B started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
Choices:
7500
2883
2790
2711
Answer: A
Question: One night 18 percent of the female officers on a police force were on duty. If 180 officers were on duty that night and half of these were female officers, how many female officers were on the police force?
Choices:
180
270
500
1,000
Answer: C
Question: By investing a 6% stock at 96 an income of Rs. 100 is obtained by making and investment of ?
Choices:
Rs. 1600
Rs. 1666
Rs. 2000
Rs. 5760
Answer: A
Question: I bought two books; for Rs.540. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
Choices:
280
189
278
315
Answer: D
Question: A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Choices:
786 m
500 m
865 m
796 m
Answer: B
Question: If a, b, and c are consecutive integers such that a < b < c and a is an even prime number, which of the following is true?
I. a + b + c > a^3
II. a × b × c < a^3
III. 5b > bc
Choices:
I only
III only
II and III
I, II, and III
Answer: A
Question: The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 10 years. Find the average age of the women?
Choices:
98
30
28
23
Answer: D
Question: An investor purchased 100 shares of stock X at 8 1/8 dollars per share and sold them all a year later at 24 dollars per share. If the investor paid a 2 percent brokerage fee on both the total purchase price and the total selling price, which of the following is closest to the investor's percent gain on this investment?
Choices:
240%
190%
300%
380%
Answer: B
Question: For the positive numbers, n, n + 1, n + 2, n + 3, and n + 4, the mean is how much greater than the median?
Choices:
0
n+l
n+2
n+3
Answer: A
Question: A football coach must choose 5freshers from a team of 12players. How many different ways can the coach choose the freshers?
Choices:
689
729
776
790
Answer: B
Question: Difference between the length &breadth of a rectangle is 10 m. If its perimeter is 206 m, then its area is?
Choices:
1500 m^2
2520 m^2
1200 m^2
2580 m^2
Answer: C
Question: Find the product of the local value and absolute value of 4 in 564823
Choices:
8000
16000
12000
18000
Answer: B
Question: A is twice as good a work man as B and together they finish the work in 14 days. In how many days A alone can finish the work?
Choices:
21 days
15 days
25 days
30 days
Answer: A
Question: A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Choices:
40
77
6
23
Answer: A
Question: Two brothers took the GMAT exam, the higher score is P and the lower one is Q. If the difference between the two scores is equal to their average, what is the value of Q/P ?
Choices:
2
1/2
1/3
There isn't enough data to answer the question.
Answer: C
Question: How many three digit number can be formed with the numbers 1,2,3,4,5.
Choices:
125 ways
175 ways
180 ways
115 ways
Answer: A
Question: A five-digit number divisible by 3 is to be formed using numerical 0, 1, 2, 3, 4 and 5 without repetition. The total number W of ways this can be done is:
Choices:
210
216
217
225
Answer: B
Question: If f(x) = x^4 - 4x^3 - 2x^2 + 5x , then f(-1) =
Choices:
-2
-1
1
2
Answer: A
Question: There are 5 Rock songs, 6 Pop songs, and 3 Jazz. How many different albums can be formed using the above repertoire if the albums should contain at least one Rock song and one Pop song?
Choices:
15,624
6,144
384
240
Answer: A
Question: Find the value of y from (12)^3 x 6^3 ÷ 432 = y?
Choices:
2234
2540
2560
864
Answer: D
Question: The table below shows how many coaches work with each of the major sports teams at Kristensen School. Although no single coach works with all three teams, 6 coaches work with both the Track and Tennis teams, 2 coaches work with both the Track and Baseball teams, and 1 coach works with both the Tennis and Baseball teams. How many different coaches work with these three teams?
Sports No of coaches
Track 8
Tennis 5
Baseball 4
Choices:
8
11
12
17
Answer: A
Question: A cube is painted red on all faces. It is then cut into 27 equal smaller cubes. How many J cubes are painted on only 2 faces?
Choices:
12
6
10
16
Answer: A
Question: A certain car can travel 20 minutes on a gallon of gasoline at 60 miles per hour. If the car had started with a full tank and had 8 gallons of gasoline left in its tank at the end, then what percent of the tank was used to travel 80 miles at 60 mph?
Choices:
33%
25%
30%
40%
Answer: A
Question: Two pipes A and B can fill a tank in 10 minutes and 20 minutes respectively. If both the taps are opened simultaneously, and the tap A is closed after 5 minutes, then how much more time will it take to fill the tank by tap B?
Choices:
5min
10min
7min
12min
Answer: A
Question: A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years ?
Choices:
1:3:5
3:4:7
4:5:9
None of these
Answer: B
Question: 5358 x 51 = ?
Choices:
273257
273258
273260
273262
Answer: B
Question: Jacob brought a scooter for a certain sum of money. He spent 10% of the cost on repairs and sold the scooter for a profit of Rs. 1100. How much did he spend on repairs if he made a profit of 20%?
Choices:
278
500
277
261
Answer: B
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.8600. If his salary for the month of May is Rs.6500, find his salary for the month of January?
Choices:
s.4100
s.4500
s.4550
s.2500
Answer: A
Question: How many integers between 100 and 600 are there such that their unit digit is odd?
Choices:
250
200
50
150
Answer: A
Question: Right now, Al and Eliot have bank accounts, and Al has more money than Eliot. The difference between their two accounts is 1/10 of the sum of their two accounts. If Al’s account were to increase by 10% and Eliot’s account were to increase by 20%, then Al would have exactly $22 more than Eliot in his account. How much money does Eliot have in his account right now?
Choices:
$152.3
$180
$220
$260
Answer: A
Question: A shopkeeper sells 300 metres of cloth for Rs. 18000 at a loss of Rs.5 per metre. Find his cost price for one metre of cloth?
Choices:
27
29
50
65
Answer: D
Question: Find the sum of prime numbers lying between 60 and 75?
Choices:
201
252
272
None
Answer: C
Question: The list price of an article is Rs.65. A customer pays Rs.57.33 for it. He was given two successive discounts, one of them being 10%. The other discount is?
Choices:
7%
10%
12%
2%
Answer: D
Question: In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
Choices:
209
211
213
215
Answer: A
Question: Set S contains points whose abscissa and ordinate are both natural numbers. Point P, an element in set S has the property that the sum of the distances from point P to the point (8, 0) and the point (0, 12) is the lowest among all elements in set S. How many such points P exist in set S?
Choices:
5
11
8
3
Answer: D
Question: When n is divided by 15, the remainder is 8. What is the remainder when 5n is divided by 6?
Choices:
6
3
4
1
Answer: C
Question: In an express train, the passengers travelling in A.C. sleeper class, First class and Sleeper class are in the ratio 1 : 2 : 7, and rate for each class is in the ratio 5 : 4 : 2. If the total income from this train is 54,000 , find the income of Indian Railways from A.C. sleeper class.
Choices:
20,000
22,000
10,000
None of these
Answer: C
Question: A garrison of 2000 men has provisions for 54 days. At the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement?
Choices:
1900
8888
1666
1878
Answer: A
Question: 1000 men have provisions for 20 days. If 650 more men join them, for how many days will the provisions last now?
Choices:
12.5
12.6
12.2
12.1
Answer: D
Question: Danny spends $360 buying his favorite dolls. If he buys only small LemonHead dolls, which are $1 cheaper than the large LemonHead dolls, he could buy 5 more dolls than if he were to buy only large LemonHead dolls. How much does a large LemonHead doll cost?
Choices:
$6
$7.2
$8
$9
Answer: D
Question: For what range of values of 'x ' will the inequality 15x - 2/x > 1?
Choices:
x < 1/3
-1/3 < x
-1/3 < x and x< 0, x > 2/5
x < -1/3 and x > 2/5
Answer: C
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 320 resolutions?
Choices:
704 m
287 m
450.6 m
927 m
Answer: C
Question: The distance between Delhi and Mathura is 110 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 25 kmph at 8 p.m. from Delhi. When will they meet?
Choices:
10a.m
19a.m
76a.m
37a.m
Answer: A
Question: In a partnership between A, B and C. A's capital is Rs.2000. If his share of a profit of Rs.600 is Rs.200 and C's share is Rs.130, what is B's capital?
Choices:
Rs.5600
Rs.5700
Rs.5300
Rs.5400
Answer: D
Question: A certain auto manufacturer sold 5% fewer vehicles in 2007 than in 2006. If the manufacturer sold 3.0 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007?
Choices:
25,00,000
28,50,000
29,50,000
29,70,000
Answer: B
Question: What is the probability of flipping a fair coin five times and the coin landing on heads on at least two flips?
Choices:
7/8
11/16
13/16
27/32
Answer: C
Question: The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:
Choices:
127
274
918
121
Answer: A
Question: A runner runs the 40 miles from Marathon to Athens at a constant speed. Halfway through the run she injures her foot, and continues to run at half her previous speed. If the second half takes her 8 hours longer than the first half, how many hours did it take the runner to run the second half?
Choices:
12
16
20
24
Answer: B
Question: How many multiples of 5 are there between 5 to 105?
Choices:
18
17
none of these
19
Answer: D
Question: A and B can together finish a work in 40days. They worked together for 10days and then B left. After another 12days, A finished the remaining work. In how many days A alone can finish the job?
Choices:
25
60
16
20
Answer: C
Question: If 60% of 3/5 of a number is 36, then the number is?
Choices:
100
75
90
None of these
Answer: A
Question: A man can do a piece of work in 15 days, but with the help of his son, he can do it in 6 days. In what time can the son do it alone?
Choices:
9
15
8
10
Answer: D
Question: What is the probability Q of randomly selecting an arrangement of the letters of the wordMEDITERRANEANin which the first letter is E and the last letter is R?
Choices:
1/20
1/26
1/50
1/100
Answer: B
Question: There r 4 prime numbers in ascending order. The multiplication of first 3 is 385 and that of last 3is 1001. what is the last number is
Choices:
10
11
13
14
Answer: C
Question: Charles’s and Sarah’s current ages are C years and S years, respectively. If 6 years from now, Charles will be at least as old as Sarah was 2 years ago, which of the following must be true?
Choices:
C + 6 ≤ S + 2
. C + 6 = S − 2
C + 6 > S − 2
C + 6 ≥ S − 2
Answer: D
Question: Real-estate salesman Z is selling a house at a 30 percent discount from its retail price. Real-estate salesman X vows to match this price, and then offers an additional 15 percent discount. Real-estate salesman Y decides to average the prices of salesmen Z and X, then offer an additional 40 percent discount. Salesman Y's final price is what fraction of salesman X's final price?
Choices:
39/6
11/61
21/61
20/61
Answer: A
Question: A jar is filled with red, white, and blue tokens that are equivalent except for their color. The chance of randomly selecting a red token, replacing it, then randomly selecting a white token is the same as the chance of randomly selecting a blue token. If the number of tokens of every color is a multiple of 8, what is the smallest possible total number of tokens in the jar?
Choices:
12
15
18
21
Answer: B
Question: A conical vessel, whose internal radius is 12 cm and height 50 cm, is full of liquid. The contents are emptied into a cylindrical vessel with internal radius 10 cm. Find the height to which the liquid rises in the cylindrical vessel.
Choices:
24 cm
20 cm
37 cm
17 cm
Answer: A
Question: When processing flower-nectar into honey bees' extract, a considerable amount of water gets reduced. How much flower-nectar must be processed to yield 1kg of honey, if nectar contains 50% water, and the honey obtained from this nectar contains 40% water?
Choices:
1.2 kg
1.7 kg
1.9 kg
None of these
Answer: A
Question: A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm3, then the weight of the pipe is:
Choices:
3.696 kg
36 kg
36.9 kg
None
Answer: A
Question: A bread merchant declares a 20% discount after 8 P.M. Each bread costs Rs.40 when it is not on sale. Sam goes before 8 P.M. to buy 4 pieces of bread. Max goes after 8 P.M. with the same amount of money that Sam had to buy bread. How many pieces did Max get over Sam?
Choices:
1
3
4
5
Answer: A
Question: A courtyard is 18 meter long and 12 meter board is to be paved with bricks of dimensions 12 cm by 6 cm. The total number of bricks required is :
Choices:
18000
20000
30000
None of these
Answer: C
Question: The cube root of .000216 is:
Choices:
.06
77
87
89
Answer: A
Question: Find k if 64 / k = 4.
Choices:
16
18
14
13
Answer: A
Question: A train 120 meter long passes an electric pole in 12 seconds and another train of same length traveling in opposite direction in 8 seconds. The speed of the second train is
Choices:
20m/s
30m/s
40m/s
50m/s
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:
240
772
281
213
Answer: A
Question: How many words with or without meaning, can be formed by using all the letters of the word, ‘ORANGE’, using each letter exactly once?
Choices:
720
750
800
820
Answer: A
Question: The average age of three boys is 12 years and their ages are in the proportion 2 : 6 : 8. The age of the youngest boy is:
Choices:
8.75 years
6.75 years
9 years
None of these
Answer: B
Question: Square RSTU shown above is rotated in a plane about its center in a clockwise direction the minimum number of degrees necessary for R to be in the position where T is now shown. The number of degrees through which RSTU is rotated is
Choices:
180 degree
225 degree
270 degree
315 degree
Answer: A
Question: Set M contains number that satisfy the condition that, if integer x is in the set then x + 6 will also be in the set M. If -4 is one value in the set, which of the following values must also be present in the set M? I) -10 II) 2 III) 8
Choices:
II only
I and II only
II and III only
I, II and III
Answer: C
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 18 minutes. The waste pipe can empty the full cistern in?
Choices:
5
7
9
2
Answer: C
Question: Cereal A is 10% sugar by weight, whereas healthier but less delicious Cereal B is 2% sugar by weight. To make a delicious and healthy mixture that is 6% sugar, what should be the ratio of Cereal A to Cereal B, by weight?
Choices:
2:7
1:6
1:4
1:1
Answer: D
Question: Every day a cyclist meets a car at the station.The road is straight and both are travelling in the same direction. The cyclist travels with a speed of 12 mph.One day the cyclist comes late by 20 min. and meets the car 5miles before the Station. What is the speed of the car?
Choices:
50 Kmph.
60 Kmph.
70 Kmph.
80 Kmph.
Answer: B
Question: What is the sum of all remainders obtained when the first 130 natural numbers are divided by 9?
Choices:
401
403
412
399
Answer: C
Question: A merchant marks his wares 40% more than the real price and allows 20% discount. His profit is:
Choices:
18%
16%
12%
None of these
Answer: C
Question: (161)^2 - (162)^2 =
Choices:
100
229
325
349
Answer: C
Question: The smallest fraction, which each of 6/7, 5/14, 10/21 will divide exactly is?
Choices:
30/7
30/2
30/3
30/6
Answer: A
Question: Rhoda tosses a coin 5 times. Find the probability of getting exactly 4 heads.
Choices:
5/32
5/16
4/32
8/32
Answer: A
Question: A trader sold two items for Rs.2500 each, if he made a profit of 28% from the first item and a loss of 20% from the second item, calculate his total gain or loss.
Choices:
12.6
3.6
7.6
5.6
Answer: D
Question: While working alone at their constant rates, computer X can process 240 files in 4 hours, and computer Y can process 240 files in 6 hours. If all files processed by these computers are the same size, how many hours would it take the two computers, working at the same time at their respective constant rates, to process a total of 240 files?
Choices:
2.2
2.4
2.6
2.8
Answer: B
Question: A sum of Rs. 1530 has been divided among A, B and C such that A gets of what B gets and B gets of what C gets. B’s share is:
Choices:
Rs. 160
Rs. 270
Rs. 300
None
Answer: B
Question: The average amount with a group of seven numbers is Rs. 30. If the newly joined member has Rs. 55 with him, what was the average amount with the group before his joining the group?
Choices:
s. 155/6
s. 16.6
s. 260/6
s. 25
Answer: A
Question: Three of the sides of a rectangular prism have areas of 91, 39, and 21. What is the volume of the rectangular prism?
Choices:
269
273
920
1911
Answer: B
Question: If a randomly selected positive single digit multiple of 3 is multiplied by a randomly selected prime number less than 20, what is the probability E that this product will be a multiple of 45?
Choices:
1/28
1/24
1/16
1/14
Answer: B
Question: At a conference, the only events scheduled for the day are seminars and breaks. All seminars are the same length and are 10 times as long as each break. A break must be between two consecutive seminars. If the first seminar begins at 9:00 a.m. and the third one ends at 11:00 a.m., how long will the conference last if there are a total of 6 seminars that day?
Choices:
hours and 20 minutes
hours and 25 minutes
hours and 30 minutes
hours and 35 minutes
Answer: D
Question: The average of 13 result is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th result?
Choices:
37
46
48
50
Answer: B
Question: What sum of money will produce Rs.60 as simple interest in 4 years at 3 1/2 percent?
Choices:
429
266
288
211
Answer: A
Question: The sum of ages of 5 children born at the intervals of 3 years each is 70 years. What is the age of the youngest child?
Choices:
4 years
6 years
7 years
8 years
Answer: D
Question: A and B go around a circular track of length 600 m on a cycle at speeds of 36 kmph and 54 kmph. After how much time will they meet for the first time at the starting point?
Choices:
120 sec
186 sec
167 sec
168 sec
Answer: A
Question: How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 170 m in length?
Choices:
16.0
16.4
16.8
16.1
Answer: C
Question: What are the last two digits of 55*34*86*47*23*51?
Choices:
20
23
25
57
Answer: A
Question: A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.482 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum.
Choices:
277
2877
2000
2711
Answer: C
Question: The daytime telephone rate between two cities is 60 cents for the first 3 minutes and c cents for each additional minute. The total charge is reduced 40 percent on calls made after 10:00 P.M. The cost, in dollars, of a 35-minute call made at 10:30 P.M. between these two cities is:
Choices:
0.4(0.60 + 0.32c)
0.4(0.60 + 9c)
0.6(0.60 + 32c)
0.6(0.60 + 0.35c)
Answer: C
Question: A cube of side 5cm is painted on all its side. If it is sliced into 1 cubic centimer cubes, how many 1 cubic centimeter cubes will have exactly one of their sides painted?
Choices:
61
98
54
64
Answer: C
Question: A mathematics teacher tabulated the marks secured by 35 students of 8th class. The average of their marks was 72. If the marks secured by Reema was written as 36 instead of 86 then find the correct average marks up to two decimal places.
Choices:
74.31
72.43
73.43
Cannot be determined
Answer: C
Question: A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
Choices:
Rs. 4991
Rs. 6991
Rs. 6001
None of these
Answer: A
Question: A machine P completes a certain amount of work in 12 hrs and machine Q completes the same work in x hrs if both machines works together to complete the same work in 8 hrs then what is x?
Choices:
18 hrs
24 hrs
32 hrs
34 hrs
Answer: B
Question: In the first 20 overs of a cricket game, the run rate was only 4.3. What should be the run rate in the remaining 30 overs to reach the target of 264 runs?
Choices:
5.93
6.75
7
8
Answer: A
Question: The difference between the two digit number and the number obtained by interchanging its digits is 54. The difference between the digits is?
Choices:
6
5
1
41
Answer: A
Question: If a 7 cm cube is cut into 1 cm cubes, then what is the percentage increase in the surface area of the resulting cubes?
Choices:
350%
450%
600%
700%
Answer: C
Question: Population of a city in 2004 was 1000000. If in 2005 there is an increment of 35% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city at the end of the year 2007
Choices:
977522
984424
997454
1272375
Answer: D
Question: Out of n consecutive natural numbers, four numbers are selected such that the differences of all the possible pairs are distinct. What is the least value of n for which this is possible?
Choices:
7
8
9
10
Answer: A
Question: A pipe takes a hours to fill the tank. But because of a leakage it took 5 times of its original time. Find the time taken by the leakage to empty the tank
Choices:
60 min
90 min
80 min
75 min
Answer: D
Question: A person is traveling at 65 km/hr and reached his destiny in 3 hr then find the distance?
Choices:
195 km
295 km
115 km
215 km
Answer: A
Question: The number of boys in the class is 8 more than the number of girls in the class, which is five times the difference between the number of girls and boys in the class.How many boys are there in the class?
Choices:
30
40
50
60
Answer: B
Question: If it is a 3x3 matrix, for which elements in first row are (V, 50, W), second row (196,X, Y)and in third row are (269, Z, 123).It is given that the sum of the numbers in each row, column, diagonal are same. Then find the value of (Y + Z).
Choices:
1119
1121
1122
1144
Answer: C
Question: Solve 8x – 4 = 4x + 11
Choices:
6(1/3)
7(1/3)
3(3/4)
9(1/3)
Answer: C
Question: 3,4,7,11,18,29,47,?
Choices:
76
75
78
79
Answer: A
Question: The greatest number of four digits which is divisible by 10, 20, 25 and 60 is:
Choices:
9000
9400
9600
9700
Answer: A
Question: A company, Chauncy Co., has an annual travel budget of $59,000. The accounting department estimates that transportation expenses will increase 5 percent in the coming year, and nontransportation travel expenses will increase by 15 percent in the coming year. Last year, Chauncy Co. spent $19,500 on transportation-related expenses, and $35,000 on nontransportation travel expenses. If the annual travel budget does not increase this year, and if the accounting department’s estimates are correct, how far over the annual travel budget will expenses be this year?
Choices:
$500
$4,225
$1,725
$60,725
Answer: C
Question: If each term in the sum a1+a2+a3+.....+an is either 7 or 77 and the sum equals 343, which of the following could be equal to n?
Choices:
39
40
41
42
Answer: A
Question: Company P had 15 percent more employees in December than it had in January. If Company P had 470 employees in December, how many employees did it have in January?
Choices:
408
410
423
445
Answer: A
Question: Two men and three women working 7 hours a day finish a work in 5 days. Four men and four women working 3 hours a day complete the work in 7 days. The number of days in which only 7 men working 4 hours a day will finish the work is?
Choices:
5
1
7
8
Answer: A
Question: If log 2= 0.030103, the number of digits in 264 is :
Choices:
19
20
21
22
Answer: B
Question: If air is called green , green is called blue, blue is called orange, sky is called yellow, yellow is called water and water is called pink, then what is the color of clear sky ?
Choices:
Orange
Water
Yellow
Black
Answer: A
Question: A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.12000. A's share is?
Choices:
2765
4000
1298
1261
Answer: B
Question: In a panel of 10 light bulbs, the odds of any light bulb to burn out are 0.7 at any given 10 minutes. Should a light bulb burn out, the whole panel would instantly turn off. What are the odds that the panel would be turned off within the first 10 minutes after it was switched on?
Choices:
1-0.3^10
(1-0.3)^10
0.06
1-10*0.06
Answer: A
Question: Winona can purchase a pencil and two pens for 250 cents, or two pencils and three pens for 425
cents. If the cost of a pencil and the cost of a pen does not change, compute the cost in cents
of FIve pencils and six pens.
Choices:
650 cents.
750 cents.
850 cents.
950 cents.
Answer: D
Question: A tap can fill a tank in 10 hours. After half the tank is filled three more similar taps are opened. What is the total time taken to fill the tank completely?
Choices:
11 hrs 15 mins
3 hrs 15 mins
6 hrs 15 mins
7 hrs 15 mins
Answer: A
Question: A sum of money deposited at C.I. amounts to Rs.2420 in 2 years and to Rs.2662 in 3 years. Find the rate percent?
Choices:
10%
20%
19%
50%
Answer: A
Question: In a card game, a combination of three kings beats all others. If Jose is the first to draw from a standard deck of 52 cards, what is the probability that he wins the game with the best possible combination?
Choices:
1/5600
1/5400
1/5525
1/5425
Answer: C
Question: Two trains travelling in the same direction at 40 and 22 kmph completely pass off another in 1 minute. If the length of the first train is 125 m, what is the length of the second train?
Choices:
266
175
99
171
Answer: B
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is?
Choices:
690
698
700
710
Answer: B
Question: A can do a particular work in 6 days . B can do the same work in 8 days. A and B signed to do it for Rs. 3200. They completed the work in 3 days with the help of C. How much is to be paid to C?
Choices:
400
300
500
700
Answer: A
Question: A man has Rs.355 in the denominations of one-rupee notes, 20-rupee notes and 50-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choices:
15
71
40
60
Answer: A
Question: If √10 = 3.16, find the value of If √5/2
Choices:
1.58
2.03
2.15
None of these
Answer: A
Question: What should come in place of the question mark (?) in the following equation?
6000 + 500 = 870+ ?
Choices:
3654
5630
6777
1298
Answer: B
Question: If daily wages of a man is double to that of a woman, how many men should work for 10 days to earn Rs.14400? Given that wages for 40 women for 30 days are Rs.21600.
Choices:
14
16
20
40
Answer: D
Question: A water tank is two-fifth full. Pipe A can fill a tank in 10 minutes and pipe B can empty 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
6 min to full
7 min to empty
None of these
Answer: A