antoine-444/aqua_rat_dataset huggingface dataset:
Question: Average of money that group of 4 friends pay for rent each month is $800.After one persons rent is increased by 16% the new mean is $850.What was original rent of friend whose rent is increased?
Choices:
900
1000
1100
1250
Answer: D
Question: Find the one which does not belong to that group ?
Choices:
27
47
67
17
Answer: A
Question: 9 men and 12 boys finish a job in 12 days, 12 men and 12 boys finish it in 10 days. 10 men and 10 boys shall finish it in how many days?
Choices:
89
12
77
61
Answer: B
Question: If (8x)/(1 - 10y/z) = 3x then which of the following is true?
Choices:
z = -6y
z = y
z = -y
z = 6y
Answer: A
Question: If x^2 + y^2 = 13 and xy = 3, then (x − y)^2 =
Choices:
7
14
17
20
Answer: A
Question: If A(k)=(k+1)^k, and k=1, what is the value of A(A(A(k-1)))?
Choices:
2
1
6
9
Answer: B
Question: In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
Choices:
580
720
5040
None of these
Answer: B
Question: (?) - 19657 - 33994 = 9999
Choices:
63645
63650
63652
63656
Answer: B
Question: A man rows to a place 48 km distant and come back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is:
Choices:
1 km/hr
1.5 km/hr
2.5 km/hr
3.5 km/hr
Answer: A
Question: 8 speakers gathered to deliver speeches on two topics. Even though 8 speeches were initially planned to be delivered, due to lack of time only 2 speeches were finally decided to be delivered. Topics are to be spoken in a specific order and the speeches differ with respect to speaker or topic. How many such two speeches are possible?
Choices:
36
64
100
1024
Answer: B
Question: There are 35 students in a hostel. If the no. of students increases by 9, the expenses of the mess increase by Rs.42/day while the average expenditure per head diminishes by Rs1. Find the original expenditure of the mess?
Choices:
334.44
342.88
345.88
380
Answer: A
Question: In the xy plane line m has the equation 4x + y = t. Line n passes through the origin and is perpendicular to line m. If point p has the coordinates (r, r+1) and is on both line n and m what is the value of r?
Choices:
-4/3
-4
3/4
4/3
Answer: A
Question: A boat can move upstream at 25 kmph and downstream at 35 kmph, then the speed of the current is?
Choices:
5
7
82
43
Answer: A
Question: Three pounds of 05 grass seed contain 5 percent herbicide. A different type of grass seed, 20, which contains 20 percent herbicide, will be mixed with three pounds of 05 grass seed. How much grass seed of type 20 should be added to the three pounds of 05 grass seed so that the mixture contains 10 percent herbicide?
Choices:
3.75
1.5
6
9
Answer: B
Question: In order to fulfill a local school’s request for x cakes, B parents agreed to each bake an equal number of cakes. If y of the parents did not bake any cakes, which of the following represents the additional number of cakes that each of the other parents had to bake in order for the school’s request for x cakes to be fulfilled?
Choices:
xy/B
yx/(B(B-y))
yx/B-y
2xy
Answer: B
Question: subash can copy 50 pages in 10 hrs.subash and prakash together can copy 300 pages in 40 hours.in how much time prakash can copy 15 pages.
Choices:
10
12
14
6
Answer: D
Question: For a positive integer n, if 5^n is a factor of 20!, but 5^n+1 is not a factor of 20!, what is the value of n?
Choices:
4
7
8
9
Answer: A
Question: A tap can fill a tank in 8 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:
5 hr
2 hr 30 min
2 hr
4 hr
Answer: A
Question: A person travels equal distances with speeds of 2km/hr, 6km/hr, 6km/hr. and takes a total time of 11minutes. Find the total distance ?
Choices:
500mts
660mts
2km
250mts
Answer: B
Question: D is the set of all the multiples of 5 between 20 and 100. E is the set of all the factors of 999. Set D and Set E have how many numbers in common?
Choices:
1
3
0
12
Answer: C
Question: A 3-letter code word consists of letters A, B. If the code includes all the two letters, how many such codes are possible?
Choices:
48
6
24
18
Answer: B
Question: Find the remainder Q when 12^190 is divided by 1729 ?
Choices:
1
1728
1717
4
Answer: C
Question: Rahim bought 4 pillows with the average cost of $5. If Rahim also buys the fifth pillow with the price of $ 10, what is the average (arithmetic mean) price of those 5 pillows?
Choices:
$6
$5.5
$6.5
$7
Answer: A
Question: When Jack picks olives for two hours at three times his regular speed, he picks 10 pounds of olives more than Mac working for five hours at 70% of his regular speed. Therefore, if Mac picks olives for one hour at double his regular speeds, and Jack picks olives for four hours at 75% of his regular speed, then
Choices:
Mac picks 10 pounds more than Jack
Jack picks 10 pounds more than Mac
Mac picks 5 more pounds than Jack
Jack picks 5 more pounds than Mac
Answer: A
Question: 10 litres of water is added to 50 litres of a solution containing 20% of alcohol in water . What is the strength of alcohol in the solution now ?
Choices:
16 2/3 %
12 1/2 %
33 1/3 %
23 1/3 %
Answer: A
Question: A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present
Choices:
22
20
40
26
Answer: C
Question: Apple, orange, mango. Mango + apple=12. Mango + orange=10.
Mango +Apple + orange=38. Calculate the no of mango?
Choices:
-9
-10
-12
-16
Answer: C
Question: The value of x+2+xx -x(x+x) when x = 2 is:
Choices:
4
0
3
6
Answer: B
Question: A and B undertake to do a piece of work for Rs. 600. A alone can do it in 6 days while B alone can do it in 8 days. With the help of C, they finish it in 3 days. !find the share of B.
Choices:
225
75
800
None 0of them
Answer: A
Question: A wholesaler wishes to sell 100 pounds of mixed nuts at $2.50 a pound. She mixes peanuts worth $1.50 a pound with cashews worth $4.00 a pound. How many pounds of cashews must she use?
Choices:
40
50
55
60
Answer: A
Question: By selling 88 pens, a trader gains the cost of 22 pens. Find his gain percentage?
Choices:
25%
27%
28%
29%
Answer: A
Question: What is the value of x^2yz − xyz^2, if x = − 2, y = 1, and z = 4?
Choices:
24
30
32
48
Answer: D
Question: 10 women can complete a work in 8 days and 10 children take 12 days to complete the work. How many days will 6 women and 3 children together take to complete the work?
Choices:
10
8
9
11
Answer: A
Question: In a division sum, the remainder is 4 and the divisor is 2 times the quotient and is obtained by adding 2 to the thrice of the remainder. The dividend is:
Choices:
90
100
110
120
Answer: B
Question: A ladies hostel had provision of food for 150 women for 25 days. After 5 days, 25 women left the hostel. The number of days for which the remaining food will last is:
Choices:
50
28
26
24
Answer: D
Question: You collect baseball cards. Suppose you start out with 16. Since you're nice, you give John 2 baseball cards. How many baseball cards do you have at the end?
Choices:
12
13
14
15
Answer: C
Question: A certain rectangular window is (2/5) times as long as it is wide. If its perimeter is 28 feet, what are its dimensions in terms of length by width?
Choices:
11 by 3
10.5 by 3.5
10 by 4
9 by 3
Answer: C
Question: A certain fruit stand sold cherry for $0.70 each and guava for $0.50 each. If a customer purchased both apples and bananas from the stand for a total of $6.30, what total number of apples and bananas did the customer purchase ?
Choices:
11
13
14
15
Answer: A
Question: A train covers a distance of 9 km in 6 min. If it takes 5 sec to pass a telegraph post, then the length of the train is?
Choices:
105
110
120
125
Answer: D
Question: How many natural numbers that are less than 10,000 can be formed using the digits 0, 1, 2, 3, 4, 6, 7 & 8?
Choices:
4096
6560
4095
8000
Answer: C
Question: A woman has three blouses of different colors, three skirts of different colors, and two different pairs of shoes. She refuses to wear her pink blouse with her green skirt. How many different blouseskirt-shoe combinations could she wear?
Choices:
12
16
17
18
Answer: B
Question: Six cards numbered from 1 to 6 are placed in an empty bowl. First one card is drawn and then put back into the bowl; then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 8, what is the probability that one of the two cards drawn is numbered 4 ?
Choices:
1/2
1/6
1/5
1/4
Answer: C
Question: A man has Rs.10350 in the form of Rs.50 notes and Rs.500 notes. The total number of notes are 54.Find the number of notes of Rs.50 denomination.
Choices:
21
37
19
21
Answer: B
Question: On dividing 2272 as well as 875 by 3-digit number N, we get the same remainder. The sum of the digits of N is?
Choices:
10
12
16
18
Answer: A
Question: Sue's trail mix is 30% nuts and 70% dried fruit. Jane's trail mix is 60% nuts and 40% chocolate chips. If the combined mixture of Sue and Jane's trails mix contains 45% nuts, what percent of the combined mixture is dried fruit?
Choices:
30%
35%
40%
45%
Answer: B
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively . If they cross each other in 22 seconds, what is the ratio of their speeds?
Choices:
1:1
2:3
3:2
3:4
Answer: A
Question: Aamir saves 32% of his monthly salary. If he spends Rs. 27200, then find his savings?
Choices:
77827
26772
12800
21212
Answer: C
Question: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 3 years the amount to be paid is?
Choices:
8127
8618
8436
8128
Answer: C
Question: Jacob is now 12 years younger than Michael. If 5 years from now Michael will be twice as old as Jacob, how old will Jacob be in 4 years?
Choices:
7
11
21
25
Answer: B
Question: Three numbers are in the ratio 4:2:5 and their H.C.F is 12. The numbers are:
Choices:
5, 10, 15
10, 20, 30
48, 24, 60.
12, 24, 60
Answer: C
Question: Pencils, Pens and Exercise books in a shop are in the ratio of 14: 4 : 3. If there are 140 pencils, the number of exercise books in the shop is:
Choices:
30
35
33
37
Answer: A
Question: A money lender lends Rs.2000 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit?
Choices:
2205
2834
2827
2781
Answer: A
Question: The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Choices:
4
9
2
9
Answer: A
Question: The last time Meena bought Diwali cards, he found that the three types of cards that he liked were priced Rs.2.00, Rs.3.50, Rs.4.50 each. As Meena wanted 30 cards, she took ten each of three cards , putting down the exact number of 10 rupees notes on the counter payment. How many notes did Meena give?
Choices:
15
10
12
13
Answer: B
Question: A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 15 seconds. What is the length of the platform in meters?
Choices:
360 meters
300 meters
600 meters
Cannot be determined
Answer: B
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 2, what is the smallest possible total number of tokens in the jar?
Choices:
12
15
18
21
Answer: A
Question: Lottery balls numbered consecutively from one through one hundred are placed in a spinner. If one ball is drawn at random, what is the probability that it will have the number 5 on it exactly once?
Choices:
1/10
18/100
19/100
1/5
Answer: B
Question: Which of the following is the equation of the line in the xy-plane that has slope 0
(I) x = 2
(II) y = 6
(III) x + y = 0
Choices:
III
I and II only
I
II
Answer: D
Question: Ravi and Kavi start a business by investing ₹ 8000 and ₹ 72000, respectively. Find the ratio of their profits at the end of year.
Choices:
5 : 9
7 : 9
1 : 9
3 : 9
Answer: C
Question: 33 1/3% OF 360?
Choices:
90
110
120
130
Answer: C
Question: Find the average of first 97 natural numbers.
Choices:
37
48
49
49.5
Answer: C
Question: Here 10 programmers, type 10 lines within 10 minutes then 60 lines can type within 60 minutes. How many programmers are needed?
Choices:
10
6
60
50
Answer: C
Question: A dog takes 3 leaps for every 8 leaps of a hare. If one leap of the dog is equal to 3 leaps of the hare, the ratio of the speed of the dog to that of the hare is :
Choices:
9:8
9:6
9:1
9:2
Answer: A
Question: If rupee one produces rupees nine over a period of 54 years, find the rate of simple interest?
Choices:
22 3/2 %
22 1/8 %
22 1/2 %
16 2/3 %
Answer: D
Question: A soft drink company had 5000 small and 12000 big bottles in storage. If 15% of small 18% of big bottles have been sold, then the total bottles remaining in storage is
Choices:
14090
15060
14930
16075
Answer: A
Question: A housewife saved Rs. 2.50 in buying an item on sale. If she spent Rs. 25 for the item, approximately how much percent she saved in the transaction ?
Choices:
9%
7%
6%
None of these
Answer: A
Question: The sum of five consecutive even numbers of set x is 440. Find the sum of a different set of five consecutive integers whose second least number is 121 less than double the least number of set x?
Choices:
240
872
2667
712
Answer: A
Question: The weights of one liter vegetable ghee packet of two brands ‘A’ and ‘B’ are 950 gm and 850 gm respectively. If they are mixed in the ratio of 3 : 2 by volumes to form a mixture of 4 liters, what is the weight (in kg) of the mixture?
Choices:
3.64
3.52
2.72
None of these
Answer: A
Question: Judges will select 4 finalists from the 7 contestants entered in a singing competition. The judges will then rank the contestants and award prizes to the 3 highest ranked contestants: a blue ribbon for first place, a red ribbon for second place, and a yellow ribbon for third place. How many different arrangements of prize-winners are possible?
Choices:
140
210
420
1,260
Answer: A
Question: A circle is circumscribed around a quadrilateral, and the quadrilateral is ABCD, What is the value of arc ADC when angle D is 155 degrees?
Choices:
100
75
50
25
Answer: C
Question: what are the number of solutions for x+y+z=12, if x,y & z can take values from 1 to 7 ?
Choices:
35
36
37
38
Answer: C
Question: An error 5% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is
Choices:
10.25%
10.23%
10.26%
10.5%
Answer: A
Question: A pupil's marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half (1/2). The number of pupils in the class is:
Choices:
20
30
40
50
Answer: C
Question: Train A and Train B began traveling towards each other from opposite ends of a 500-mile long track at 1:00 PM. If Train A traveled at 25 miles per hour and Train B traveled at 25 miles per hour, at what time did the trains meet?
Choices:
11:00 PM
7:20 PM
8:00 PM
9:20 PM
Answer: A
Question: A bag contains 13 wool scarves, exactly one of which is red and exactly one of which is green. If Deborah reaches in and draws three scarves, simultaneously and at random, what is the probability that she selects the red scarf but not the green scarf?
Choices:
4/23
5/26
7/34
9/47
Answer: B
Question: The speed of a boat in still water is 36 kmph. What is the speed of the stream if the boat can cover 80 km downstream or 40 km upstream in the same time?
Choices:
14 kmph
12 kmph
16 kmph
15 kmph
Answer: B
Question: Find the largest 4 digit number which isexactly divisible by 88?
Choices:
4356
9944
7939
4674
Answer: B
Question: Working together, A and B can do a job in 6 days. B and C can do the same job in 10 days, while C and A can do it in 7.5 days. How long will it take if all A, B and C work together to complete the job?
Choices:
5 days
8 days
9 days
10 days
Answer: A
Question: A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 24 hrs and a machine of type S does the same job in 12 hours. If the company used the same number of each type of machine to do the job in 4 hours, how many machines of type R were used?
Choices:
2
6
9
12
Answer: A
Question: A 160 meter long train crosses a man standing on the platform in 16 sec. What is the speed of the train?
Choices:
36 kmph
92 kmph
86 kmph
76 kmph
Answer: A
Question: There are 32 people in a party. If everyone is to shake hands with one another, how many hand shakes are possible?
Choices:
496
361
297
261
Answer: A
Question: 40% of the population of a village is 23040. The total population of the village is ?
Choices:
57600
34936
25640
None
Answer: A
Question: One side of a rectangular field is 15 m and one of its diagonals is 17 m. Find the area of the field.
Choices:
120 m^2
130 m^2
124 m^2
131 m^2
Answer: A
Question: Three friends are buying a gift for a friend. Declan contributes 3 dollars more than 1/4 the cost of the gift, Ed contributes 1 dollar less than 1/3 the cost of the gift, and Frank contributes the remaining 22 dollars. What is the cost of the gift?
Choices:
57.6
60
66
72
Answer: A
Question: The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).
Choices:
16, 28, 36
16, 28, 35
16, 28, 34
16, 28, 33
Answer: A
Question: Find the value of 658217 x 99999 = m?
Choices:
65839570421
65821141683
66821785904
65821041783
Answer: D
Question: The largest 4 digit number exactly divisible by 88 is?
Choices:
9936
9944
9952
9960
Answer: B
Question: A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?
Choices:
3000
3018
3019
3012
Answer: A
Question: Four men and three women can do a job in 6 days. When five men and six women work on the same job, the work gets completed in 4 days. How long will a woman take to do the job, if she works alone on it?
Choices:
54 days
52 days
44 days
50 days
Answer: A
Question: Given 2 negative numbers, the lesser is 5 less than twice the greater number. What is the greater number if the product of both numbers is 228?
Choices:
-14
-12
-18
-11
Answer: B
Question: The tax on a commodity is diminished by 10% and its consumption increases by 10%. Find the effects on revenue ?
Choices:
1% decrease
3% decrease
4% decrease
none of these
Answer: A
Question: A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 33820. What percentage of profit did he make?
Choices:
49%
40%
52%
90%
Answer: C
Question: If 0.75 : x :: 5 : 8, then x is equal to:
Choices:
1.43
1.2
1.45
1.56
Answer: B
Question: The average age of three boys is 40 years and their ages are in proportion 8:10:22. What is the age in years of the youngest boy?
Choices:
8
7
6
5
Answer: A
Question: From 5 positive numbers and 5 negative numbers, how many groups of 4 numbers, yielding a positive product, can be formed?
Choices:
110
30
960
255
Answer: A
Question: X and Y are both integers. If X/Y = 59.60, then what is the sum of all the possible two digit remainders of X/Y?
Choices:
315
672
900
1024
Answer: A
Question: Which of the following numbers is the biggest => [-1/7 , -7/8 , -9/10 , -12/13 , -34/35]
Choices:
A)-1/7
C)-9/10
D)-12/13
E)-34/35
Answer: A
Question: In how many ways can four members be selected from a group of eight members?
Choices:
10C8
8C4
8C3
10C1
Answer: B
Question: There were 36,000 hardback copies of a certain novel sold before the paperback version was issued. From the time the first paperback copy was sold until the last copy of the novel was sold 9 times as many paperback copies as hardback copies were sold. If a total of 439,000 copies of the novel were sold in all, how many paperback copies were sold?
Choices:
360,000
362,700
392,000
396,900
Answer: B
Question: To furnish a room in a model home an interior decorator is to select 2 chairs and 2 tables from the collection of chairs and tables in a warehouse that are all different from each other. If there are 5 chairs in the warehouse and if 150 different combinations are possible, how many tables y are there in the warehouse?
Choices:
6
10
15
30
Answer: A
Question: What least number must be added to 1049, so that the sum is completely divisible by 25 ?
Choices:
4
6
8
1
Answer: D
Question: A is a working partner and B is a sleeping partner in the business. A puts in Rs.2000 and B Rs.3000, A receives 10% of the profit for managing the business the rest being divided in proportion of their capitals. Out of a total profit of Rs.9600, money received by A is?
Choices:
2707
7728
4416
7291
Answer: C
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 3000 resolutions?
Choices:
3704 m
4179 m
4224 m
4297 m
Answer: C
Question: In a maths test, students were asked to find 5/16 of a certain number. One of the students by mistake found 5/6th of that number and his answer was 200 more than the correct answer. Find the number.
Choices:
384
26
28
11
Answer: A
Question: Two men, 3 women working full time and 3 part times can complete a job in 20 days. Four men and 9 women working full time can complete the same job in 10 days. Find the ratio of the times taken by a woman (full-timer) and a part timer to complete the job.
Choices:
2:1
1:3
3:1
1:4
Answer: A
Question: Griffin has a bag of marbles that contains 7 black marbles and 4 red marbles. If he removes 3 marbles at random without replacing any of the marbles, what is the probability that all 3 marbles selected will be black?
Choices:
5/22
7/33
8/55
9/77
Answer: B
Question: How many two-digit numbers are there whose remainder when divided by 12 is 1, and whose remainder when divided by 6 is 5?
Choices:
4
5
6
7
Answer: B
Question: A and B invest money in the ratio 5:4 and they has loss of Rs.7200 at the end of year. what is the share of loss of B?
Choices:
Rs.3200
Rs.3000
Rs.2900
None of the above
Answer: A
Question: If 3d + 1 < 2d < 9 - d, which of the following must be true?
I. -1 < d < 3
II. d < -1
III. d < 3
Choices:
II only
I and II only
II and III only
I, II and III
Answer: A
Question: A child must place 2 different toys in 4 different bins. If any of the toys can go in any of the bins, in how many ways can the child place the toys into the bins?
Choices:
6^4
4^6
4^4
4^2
Answer: D
Question: The market value of a 10.5% stock, in which an income of Rs. 756 is derived by investing Rs. 6500, brokerage being 1/4%, is:
Choices:
90.03
114.75
124
124.75
Answer: A
Question: In how many different ways can the letters of the word "CLAIM" be rearrangement?
Choices:
120
140
145
150
Answer: A
Question: In one day, Juan sends Keith three times as many messages as he sends Laurence, and Laurence sends Missy 2 times as many messages as he receives from Juan. If Missy received 18 messages from Laurence, how many messages does Keith receive from Juan?
Choices:
12
16
27
56
Answer: C
Question: A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 12 cm. What is the length of the wire?
Choices:
14 cm
16 cm
23 cm
29 cm
Answer: B
Question: In a six-sided polygon ZQRSTV ∠Z measures 48° less than the average (arithmetic mean) of the remaining five angles. What does ∠Z equal to, in degrees?
Choices:
80
88
96
104
Answer: A
Question: 45 girls and 60 boys are present at a party. There are 17 girl-boy are in relationship among them. If a girl and a boy is selected at random, what is the probability that they will be a couple?
Choices:
1/100
90/2900
17/2700
1/20
Answer: C
Question: In the equation 2x â€“ cy = 18, c is a constant. If the value of y is 2 when x is 6, what is the value of x when y is 7 ?
Choices:
-4
-3/2
4
9/2
Answer: B
Question: Janice has divided her department of 12 employees into 4 teams of 3 employees each to work on a new project. Four new employees are to be added to Janice’s department, but the number of teams is to remain the same. If every employee must be on exactly 1 team, then the total number of different teams into which Janice can divide the enlarged department is approximately how many times the number of different teams into which Janice could have divided the original department?
Choices:
170
340
1820
43,680
Answer: A
Question: In how many different number of ways a Committee of 4person of can be selected from 4boys and 4girls such that at least 1 girl is included in the committe
Choices:
69
67
68
65
Answer: A
Question: If r and k are integers whose product is 400, which of the following statements must be true?
Choices:
n is not equal to k.
Either n or k is a multiple of 10.
If n is even, then k is odd.
If r is odd, then k is even.
Answer: D
Question: The area of a sector of a circle of radius 4 cm formed by an arc of length 3.5 cm is?
Choices:
7
8.75
8.98
8.28
Answer: A
Question: What is the smallest no. which must be added to 53403977 so as to obtain a sum which is divisible by 11?
Choices:
4
0
1
2
Answer: B
Question: A, B and C start swimming in a pool simultaneously from the same end. To complete 10 laps, A takes 10 minutes, B takes 8 minutes and C takes 9 minutes. What is the ratio of speeds A:B:C?
Choices:
12:15:20
5:4:3
4:6:5
36:45:40
Answer: D
Question: Of 67 players on a cricket team, 37 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total?
Choices:
55
57
71
92
Answer: B
Question: Average of 17 results is 71. If the average of first eight results is 72 and average of last eight results is 69 Then find the ninth result?
Choices:
79
77
72
85
Answer: A
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:
8
10
12
14
Answer: C
Question: A and B started a business investing Rs. 50,000 and Rs 20,000 respectively. In what ratio the profit earned after 2 years be divided between A and B respectively?
Choices:
5:2
18:20
1:4
18:4
Answer: A
Question: There are two numbers. If 40% of the first number is added to the second number, then the second number increases to its five-fourth. Find the ratio of the first number to the second number?
Choices:
5/7
5/3
5/8
5/1
Answer: C
Question: The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?
Choices:
46
265
276
256
Answer: A
Question: __2A
x__B
____
CC
In the multiplication problem above, A, B, and C represent distinct digits. If the sum of A and B is equal to 2, what is the value of C?
Choices:
5
0
3
2
Answer: B
Question: The positive value of x that satisfies the equation (1 + 2x)^5 = (1 + 3x)^6 is between
Bunuel, can you please explain this one?
Choices:
0.5 and 1
1 and 1.5
1.5 and 2
2 and 2.5
Answer: D
Question: A contractor undertakes to do a job within 100 days and hires 10 people to do it. After 20 days, he realizes that one fourth of the work is done so he fires 2 people. In how many more days W will the work get over?
Choices:
W=70
W=75
W=80
W=100
Answer: B
Question: If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in cm2) is?
Choices:
100
267
898
771
Answer: A
Question: A salesperson received a commission of 3 percent of the sale price for each of the first 100 machines that she sold and 4 percent of the sale price for each machine that she sold after the first 100. If the sale price of each machine was $10,000 and the salesperson received a $45,000 commission, how many machines did she sell?
Choices:
140
105
115
120
Answer: A
Question: Amar takes as much time in running 21 meters as a car takes in covering 54 meters. What will be the distance covered by Amar during the time the car covers 1.8 km?
Choices:
500 m
670 m
700 m
640 m
Answer: C
Question: How many of the positive factors of 25 , 15 and how many common factors are there in numbers?
Choices:
2
3
4
5
Answer: A
Question: In a game of billiards, A can give B 20 points in 70 and he can give C 30 points in 70. How many points can B give C in a game of 100?
Choices:
27
25
20
17
Answer: C
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:
28 sec
30 sec
35 sec
45 sec
Answer: B
Question: The area of a circle is increased by 1500%. By what percent has the radius of the circle increased?
Choices:
200%
300%
600%
800%
Answer: B
Question: The sides of a cube are in the ratio 1:2 the ratio of their volume is?
Choices:
1:5
1:8
1:1
1:2
Answer: B
Question: If 10,000 microns = 1 decimeter, and 10,000,000angstroms = 1 decimeter, how many angstroms equal 1 micron?
Choices:
1.0e-05
100,000
10,000
1,000
Answer: D
Question: A student got twice as many sums wrong as he got right. If he attempted 24 sums in all, how many did he solve correctly ?
Choices:
16
8
24
26
Answer: B
Question: At Joes Steakhouse the hourly wage for a chef is 20% greater than that of a dishwasher, and the hourly wage of a dishwasher is half as much as the hourly wage of a manager. If a managers wage is $6.50 per hour, how much less than a manager does a chef earn each hour?
Choices:
$2.6
$3.40
$4.40
$5.40
Answer: A
Question: If four students are made to sit in a row, then 7 don't have seats. If 7 students are made to sit in a row, then two rows are empty. How many students have to sit a row such that each row has equal number of students and all students are seated?
Choices:
1
4
5
9
Answer: C
Question: Find the odd man out. 1, 9, 16, 51, 121, 169, 225
Choices:
51
16
1
2
Answer: A
Question: A train passes a station platform in 36 sec and a man standing on the platform in 21 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choices:
225
881
1277
121
Answer: A
Question: The area of the house of a hall is 20 m2 that of a longer wall 10 m2 and of the shorter wall 8 m2, find the edge of the new cube?
Choices:
40 m3
60 m3
600 m3
300 m3
Answer: A
Question: A boat can move upstream at 40 kmph and downstream at 56 kmph, then the speed of the current is?
Choices:
6
8
4
2
Answer: B
Question: A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?
Choices:
8 kmph
16 kmph
4 kmph
6 kmph
Answer: A
Question: What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years?
Choices:
1 : 4
2 : 3
Data inadequate
None of these
Answer: B
Question: A bar over a sequence of digits in a decimal indicates that the sequence repeats indefinitely. What is the value of (10^4 -10^2)(0.0016)?
Choices:
15.84
17
18.5
19
Answer: A
Question: For any number y, y* is defined as the greatest positive even integer less than or equal to y. What is the value of 8.2 – 8.2*?
Choices:
1.2
1.8
2.2
4.0
Answer: C
Question: A bakery opened yesterday with its daily supply of 40 dozen rolls. Half of the rolls were sold by noon, and 65 percent of the remaining rolls were sold between noon and closing time. How many dozen rolls had not been sold when the bakery closed yesterday?
Choices:
6
7
8
9
Answer: B
Question: A candy company sells premium chocolate at $5 per pound and regular chocolate at $2 per pound in increment of whole pound only.If Barrett buys a pack of candies which costs him $31, how many pounds of premium chocolates are in the box?
Choices:
[B] 2
[C] 3
[D] 4
[E] 5
Answer: A
Question: A company, Chauncy Co., has an annual travel budget of $50,000. 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
$5,725
$10,725
Answer: D
Question: The cost of an item is Rs 12.60. If the profit is 10% over selling price what is the selling price ?
Choices:
17 rupees
16 rupees
15 rupees
14 rupees
Answer: D
Question: Two cars start at the same time from opposite ends of a highway that is 105 miles long. One car is riding at 15 mph and the second car is riding at 20 mph. How long after they begin will they meet?
Choices:
2
3
4
5
Answer: B
Question: A vendor bough toffees at 6 for a rupee. how many for a rupee must he sell to gain 20%?
Choices:
8
5
9
1
Answer: B
Question: Each month a retailer sells 100 identical items. On each item he makes a profit of $30 that constitutes 10% of the item's price to the retailer. If the retailer contemplates giving a 5% discount on the items he sells, what is the least number of items he will have to sell each month to justify the policy of the discount?
Choices:
213
221
223
226
Answer: C
Question: A fruit vendor purchased 20 dozens of bananas at Rs. 15 per dozen. But one-fourth of the bananas were rotten and had to be thrown away. He sold two-third of the remaining bananas at Rs. 22.50 per dozen. At what price per dozen should he sell the remaining bananas to make neither a profit nor a loss?
Choices:
Rs. 15
Rs. 22.50
Rs. 7.50
None of these
Answer: A
Question: A water tank, having the shape of a rectangular prism of base 100 square centimeters, is being filled at the rate of 1 liter per minute. Find the rate at which the height of the water in the water tank increases. Express your answer in centimeters per minute.
Choices:
15 cm/m
10 cm/m
35 cm/m
20 cm/m
Answer: B
Question: An error 4% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is
Choices:
8.14%
8.23%
8.16%
8.5%
Answer: C
Question: How much 60% of 50 is greater than 30% of 30?
Choices:
21
11
17
12
Answer: A
Question: The length of the bridge, which a train 140 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
16 m
245 m
19 m
235 m
Answer: D
Question: 2a
33
+ b9
____
99
If a and b represent positive single digits in the correctly worked computation above, what is the value of a + 3b ?
Choices:
7
9
11
12
Answer: C
Question: A goat is tied to one corner of a square plot of side 12m by a rope 7m long. Find the area it can graze?
Choices:
36.5
38.5
39
39.5
Answer: B
Question: Find the constant k so that : -x2 - (k + 8)x - 8 = -(x - 2)(x - 4)
Choices:
12
14
19
15
Answer: B
Question: Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is?
Choices:
5 5/11%
7%
8%
9%
Answer: A
Question: There are two concentric circles such that the area of the outer circle is four times the area of the inner circle. Let A, B and C be three distinct points on the perimeter of the outer circle such that AB and AC are tangents to the inner circle. If the area of the outer circle is 12 square centimetres then the area (in square centimetres) of the triangle ABC would be
Choices:
9/π
9√3/π
6√3/π
None of these
Answer: B
Question: Capacity of a cylindrical vessel is 25,872 litres. If the height of the cylinder is 200% more than the radius of its base, what is the area of the base in square cms?
Choices:
1232
616
926
cannot be determined
Answer: B
Question: Visitors to show were charged Rs.15 each on the first day. Rs.7.50 on the second day, Rs.2.50 on the third day and total attendance on the three days were in ratio 2:5:13 respectively. The average charge per person for the whole show is?
Choices:
4
5
6
7
Answer: B
Question: A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
Choices:
22 1/4
22 1/2
22 1/1
22 1/3
Answer: B
Question: The price of a bushel of corn is currently $3.20, and the price of a peck of wheat is $9.80. The price of corn is increasing at a constant rate of 5x cents per day while the price of wheat is decreasing at a constant rate of x(2^1/2) - x cents per day. What is the approximate price when a bushel of corn costs the same amount as a peck of wheat?
Choices:
$5.10
$9.30
$5.50
$5.60
Answer: B
Question: Anna left for city A from city B at 5.20 a.m. She traveled at the speed of 80 km/hr for 2 hrs 15 min. After that the speed was reduced to 60 km/hr. If the distance between two cities is 350 kms, at what time did Anna reach city A?Anna left for city A from city B at 5.20 a.m. She traveled at the speed of 80 km/hr for 2 hrs 15 min. After that the speed was reduced to 60 km/hr. If the distance between two cities is 350 kms, at what time did Anna reach city A?
Choices:
10.15 a.m
10.27 a.m
10.55 a.m
10.25 a.m
Answer: D
Question: The marks obtained by Vijay and Amith are in the ratio 4:7 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of?
Choices:
6:1
6:5
6:7
6:3
Answer: C
Question: If each of 4 subsidiaries of Corporation R has been granted a line of credit of $791,000 and each of the other 3 subsidiaries of Corporation R has been granted a line of credit of $112,000, what is the average (arithmetic mean) line of credit granted to a subsidiary of Corporation R?
Choices:
$500,000
$406,000
$313,600
$116,000
Answer: A
Question: A sporting goods store sold 64 Frisbees in one week, some for $3 and the rest for $4 each. If receipts from Frisbee sales for the week totaled $200, what is the fewest number of $4 Frisbees that could have been sold?
Choices:
8
12
4
2
Answer: A
Question: If x is an integer and 2.13 × 10^x is less than 2100, what is the greatest possible value for x?
Choices:
2
5
4
3
Answer: A
Question: k = 2^n + 8, where n is an integer greater than 1. If k is divisible by 9, which of the following MUST be divisible by 9?
Choices:
2^n - 2
2^n
2^n + 4
2^n + 5
Answer: C
Question: How many positive integers less than 30 have no common prime factor with 30?
Choices:
6
7
8
9
Answer: C
Question: Derek throws three dice in a special game. If he knows that he needs 15 or higher in this throw to win, then find the chance of his winning the game.
Choices:
5/54
20/145
6/54
90/155
Answer: A
Question: A person travelled from his house to office at 30km/hr and office to house at 70km/hr. Then find the average speed?
Choices:
40km/hr
42km/hr
50km/hr
62km/hr
Answer: B
Question: The mass of 1 cubic meter of a substance is 200 kg under certain conditions. What is the volume in cubic centimeters of 1 gram of this substance under these conditions? (1 kg =1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters)
Choices:
2
3
4
5
Answer: D
Question: What fraction is equivalent to 0.8% ?
Choices:
1/125
1/121
1/122
1/124
Answer: A
Question: A basketball is dropped from a height of 30 feet. If it bounces back up to a height that is exactly half of its previous height, and it stops bouncing after hitting the ground for the fourth time, then how many total feet will the ball have traveled after 3 full bounces.
Choices:
82.5
60
75
80
Answer: A
Question: The product of three consecutive numbers is 990. Then the sum of the smallest two numbers is ?
Choices:
15
19
38
56
Answer: B
Question: During a certain season, a team won 75 percent of its first 100 games and 50 percent of its remaining games. If the team won 70 percent of its games for the entire season, what was the total number of games that the team played?
Choices:
170
156
150
125
Answer: D
Question: Set Q consists of the following five numbers: Q = {5, 8, 13, 21, 34}. Which of the following sets has the same standard deviation as Set Q?
I. {35, 38, 43, 51, 64},
II. {10, 16, 26, 42, 68},
III. {46, 59, 67, 72, 75}
Choices:
I & II
I & III
II & III
I, II, & III
Answer: B
Question: A train speeds past a pole in 10 seconds and a platform 100 m long in 30 seconds. Its length is?
Choices:
876 m
251 m
50 m
45 m
Answer: C
Question: In how many ways a committee consisting of 4 men and 2 women can be formed from 7 men and 3 women?
Choices:
A)105
C)20
D)18
E)21
Answer: A
Question: There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:
Choices:
80
100
200
220
Answer: B
Question: In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1/10. For a group of 500 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?
Choices:
346
352
365
370
Answer: C
Question: 90, 180, 12, 50, 100, 200, ?, 3, 50, 4, 25, 2, 6, 30, 3
Choices:
150
180
200
220
Answer: A
Question: In the graduating class of a certain college, 48 percent of the students are male and 52 percent are female. In this class 40 percent of the male and 40 percent of the female students are 25 years old or older. If one student in the class is randomly selected, approximately what is the probability that he or she will be less than 25 years old?
Choices:
B)0.6
C)0.45
D)0.3
E)0.25
Answer: A
Question: If a number p is prime, and 2p+5= q, where q is also prime, then the decimal expansion of 1/q will produce a decimal with q-1 digits. If this method produces a decimal with 166 digits, what is the units digit of the product of p and q?
Choices:
2
5
7
9
Answer: A
Question: A worker can load one truck in 6 hours. A second worker can load the same truck in 5 hours. If both workers load one truck simultaneously while maintaining their constant rates, approximately how long, in hours, will it take them to fill one truck?
Choices:
2.7
3.1
3.3
3.5
Answer: A
Question: Which of the following equivalent to (1/27)^2?
Choices:
(0.11)^3
(0.12)^3
(0.13)^3
(0.14)^3
Answer: A
Question: In a LAB experiment, a 100 ml compound of element X and element Y needs to be increased to 210 ml by adding some quantity of element X, and some quantity of element Y. If the original compound contains 30% of element X, how much (in ml) of element Y must be added so that element X will be exactly one third of the resulting mixture ?
Choices:
70 ml
20 ml
20/3 ml
10 ml
Answer: A
Question: The sum of two consecutive integers is 51. Find the numbers.
Choices:
7, 8
5, 6
1, 2
25,26
Answer: D
Question: An investment of $2000 was made in a certain account and earned interest that was compounded annually. The annual interest rate was fixed for the duration of the investment, and after 12 years the $1000 increased to $8000 by earning interest. In how many years after the initial investment was made the $1000 have increased to $16000 by earning interest at that rate?
Choices:
18
20
24
30
Answer: A
Question: There are some pigeons and hares in a zoo. If heads are counted, there are 200. If legs are counted, there are 580. The number of hares in the zoo is?
Choices:
120
90
95
80
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:
12/429
12/455
12/927
12/292
Answer: B
Question: A certain account pays 1.5 percent compound interest every 3 months. A person invested an initial amount and did not invest any more money in the account after that. If after exactly 5 years, the amount of money in the account was T dollars, which of the following is an expression for the original number of dollars invested in the account?
Choices:
[(1.015)^15]T
[(1.015)^20]T
[T/{(1.015)^15}]
[T/{(1.015)^20}]
Answer: D
Question: A, B and C enter into a partnership and their shares are in the ratio 1/2 : 1/3 : 1/4. After 2 months, A withdraws half of his capital and after 10 months, a profit of Rs. 378 is divided among them. What is B's share ?
Choices:
145
140
144
None of these
Answer: C
Question: What is the greatest prime factor of 10!9! + 9!8! ?
Choices:
11
13
17
19
Answer: B
Question: A test has 150 questions. Each question has 5 options, but only 1 option is correct. If test-takers mark the correct option, they are awarded 1 point. However, if an answer is incorrectly marked, the test-taker loses 0.25 points. No points are awarded or deducted if a question is not attempted. A certain group of test-takers attempted different numbers of questions, but each test-taker still received the same net score of 40. What is the maximum possible number of such test-takers?
Choices:
21
23
25
27
Answer: B
Question: A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:
Choices:
15
66
77
81
Answer: A
Question: the present worth of a sum due sometimes hence is Rs. 5760 and the banker's gain is Rs.10 . what is the true discount?
Choices:
420
240
120
380
Answer: B
Question: David gets on the elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time, Albert gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross ?
Choices:
28
37
53
30
Answer: D
Question: Rectangular tile each of size 70cm by 30cm must be laid horizontally on a rectangular floor of size 900cm by 600cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is:
Choices:
70
80
90
100
Answer: D
Question: Calculate 1307 x 1307 =?
Choices:
1607249
1701249
1708249
none
Answer: C
Question: A train 960 m long passed a pole in 96 sec. How long will it take to pass a platform 2600 m long?
Choices:
352
354
356
358
Answer: C
Question: A trained covered x km at 40 kmph and another 4x km at 20 kmph. Find the average speed of the train in covering the entire 3x km.
Choices:
12.33 kmph
13.33 kmph
14.33 kmph
23.33 kmph
Answer: B
Question: In how many ways the letters of the word REDUCTION be arranged?
Choices:
325479
226478
362880
344900
Answer: C
Question: An engineer undertakes a project to build a road 10 km long in 30 days and employs 30 men for the purpose. After 10 days, he finds only 2 km of the road has been completed. Find the (approximate) number of extra men he must employ to finish the work in time.
Choices:
30
50
60
70
Answer: A
Question: r = number of flags;n = number of poles;Any number of flags can be accommodated on any single pole.r= 5 n = 3 . If first pole has 2 flags ,third pole has 1 flag, how many ways the remaining can be arranged?
Choices:
5 ways
7 ways
8 ways
6 ways
Answer: D
Question: 7528:5306::4673:?
Choices:
2451
2551
2651
2751
Answer: A
Question: There are two positive numbers in the ratio 5:8. If the larger number exceeds the smaller by 15, then find the smaller number?
Choices:
25
86
16
27
Answer: A
Question: A can do a piece of work in 4 days. B can do it in 6 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
Choices:
12 days
67 days
17 days
18 days
Answer: A
Question: There are certain number of hats and gloves in a box.They are of 41 red,23 green,11 orange.Power gone but a woman can differentiate between hats and gloves.How many draws are required to obtain a pair of each color?
Choices:
66
68
69
70
Answer: A
Question: A car started running at a speed of 30 km/hr and the speed of the car was increased by 2 km/hr at the end of every hour. Find the total distance covered by the car in the first 10 hours of the journey.
Choices:
390
287
2771
0212
Answer: A
Question: A bag contains a certain number of 50 paise coins, 20 paise coins and 10 paise coins inthe ratio 3:4:5. If the total value of all the coins in the bag is Rs.280, find the number of 50 paise coins ?
Choices:
488
300
528
418
Answer: B
Question: Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell for $18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $8.82 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discount rates is 22 percent, what is the discount rate on Pony jeans?
Choices:
10%
11%
12%
15%
Answer: C