antoine-444/aqua_rat_dataset huggingface dataset:
Question: The average of 17 numbers is 10.9. If the average of first nine numbers is 10.5 and that of the last nine numbers is 11.4, the middle number is
Choices:
11.8
10.9
11.7
11.9
Answer: A
Question: Envelopes can be purchased for $1.50 per pack of 100, $1.00 per pack of 50, or $0.03 each. What is the greatest number of envelopes that can be purchased for $7.60?
Choices:
430
443
470
486
Answer: C
Question: If 3a + 1 < 2a < 9 - a, which of the following must be true?
I. -1 < a < 3
II. a < -1
III. a < 3
Choices:
II only
I and II only
II and III only
I, II and III
Answer: A
Question: In the rectangular coordinate system Point O has coordinates (0,0) and Point B has coordinates (4,3) and if point A is equidistant from points O and B and the area of the triangle OAB is 16, which of the following are the possible coordinates of point A.
Choices:
(0,4)
(2,-6)
(2,6)
(4,0)
Answer: B
Question: A firm has 5 senior partners and 4 junior partners. How many different groups of 3 partners can be formed in which at least one member of the group is a senior partner. (2 groups are considered different if at least one group member is different)
Choices:
75
80
85
90
Answer: B
Question: A car is running at a speed of 110kmph. What distance will it cover in 9sec?
Choices:
279m
180m
200m
250m
Answer: A
Question: If 34 men do a work in 40 days, in how many days will 20 men do it?
Choices:
68
61
55
74
Answer: A
Question: A grocer is storing soap boxes in cartons that measure 25 inches by 42 inches by 60 inches. If the measurement of each soap box is 7 inches by 6 inches by 5 inches, then what is the maximum number of soap boxes that can be placed in each carton?
Choices:
252
280
300
420
Answer: C
Question: Vijay went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
19.7
21.4
21.7
21.8
Answer: A
Question: A pharmaceutical company made 3000 strips of tablets at a cost of Rs. 4800. The company gave away 1000 strips of tablets to doctors as free samples. A discount of 25% was allowed on the printed price. Find the ratio profit if the price is raised from Rs. 3.25 to Rs. 4.25 per strip and if at the latter price, samples to doctors were done away with. (New profit / Old profit).
Choices:
63.5
75
99.25
80
Answer: A
Question: In shop contains 500 articles each of a cost of $10. He sold them at a price of $20. If the shop keeper has a order of 200 articles, how much profit he will get?
Choices:
B)4000
C)1500
D)2000
E)600
Answer: C
Question: 7 points are marked on a straight line and another 8 points are marked on a second straight line with no points in common. How many triangles can be constructed with vertices from among the above points?
Choices:
91
168
196
364
Answer: D
Question: During a sale, the price of a pair of shoes is marked down 13% from the regular price. After the sale ends, the price goes back to the original price. What is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes?
Choices:
10%
11%
15%
90%
Answer: C
Question: Working alone, A can complete a certain kind of job in 3 hours. A and D, working together at their respective rates, can complete one of these jobs in 2 hours. In how many hours can D, working alone, complete one of these jobs?
Choices:
4
6
8
10
Answer: B
Question: There are 8 students. 4 of them are men and 4 of them are women. If 4 students are selected from the 8 students. What is the probability that the number of men is equal to that of women?
Choices:
18/35
14/35
13/35
12/35
Answer: A
Question: The diagonals of a rhombus are 15 cm and 12 cm. Find its area?
Choices:
90
60
80
292
Answer: A
Question: The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is?
Choices:
6
4
9
3
Answer: A
Question: If 45-[28-{37-(15-*)}]= 59, then * is equal to:
Choices:
-19
20
29
39
Answer: B
Question: A sum of money lent out at S.I. amounts to Rs. 820 after 2 years and to Rs. 1020 after a further period of 5 years. The sum is?
Choices:
Rs. 500
Rs. 540
Rs. 740
Rs. 840
Answer: C
Question: At a contest with 2000 participants, 1/2 of the people are aged 16 to 18. Next year, the number of people aged 16 to 18 will increase by 1/4. After this change, what percentage of the total 2000 people will the 16- to 18- year-olds represent?
Choices:
62.50%
70%
65%
66/3%
Answer: A
Question: Four milkmen rented a pasture. A grazed 24 cows for 3 months, B 10 cows for 5 months, C 35 cows for 4 months and D 21 cows for 3 months. If A’s share of rent is Rs.720, find the total rent of the field.
Choices:
Rs.3250
Rs.3450
Rs.3550
Rs.3650
Answer: A
Question: Sandy purchased 20 dozen toys at the rate of $144 per dozen. Sandy sold each toy at the rate of $15. What was the percentage profit?
Choices:
25%
35%
45%
55%
Answer: A
Question: The total number of digits used in numbering the pages of a book having 366 pages is
Choices:
990
1098
1305
1605
Answer: A
Question: If x is odd and y is odd, then x + y is
Choices:
Odd whenever xy is even
Even whenever xy is odd
Even
It cannot be determined
Answer: C
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow?
Choices:
2/29
2/21
2/22
2/27
Answer: B
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 55 hrs and a machine of type S does the same job in 22 hours. If the company used the same number of each type of machine to do the job in 5 hours, how many machines of type R were used?
Choices:
28/7
23/7
25/7
22/7
Answer: D
Question: A highway is to be divided into four lanes. For this purpose, three yellow stripes are painted so that stripes divide the highway into four lanes. If 3 gallons of paint cover an area of 5P square feet of highway, how many gallons of paint are needed to paint two stripes x inches wide on a stretch of highway m miles long? (1 mile = 5280 feet and 1 feet = 12 inches)
Choices:
792mx/P
792P/mx
264P/mx
880mx/P
Answer: A
Question: In how many years, Rs. 75 will produce the same interest at 6% as Rs. 800 produce in 2 years at 4½% ?
Choices:
16 years
8 years
9 years
12 years
Answer: A
Question: Three 6 faced dice are thrown together. The probability that all the three show the same number on them is ?
Choices:
1/36
1/39
1/31
1/29
Answer: A
Question: If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is ?
Choices:
1/2
1/9
1/1
1/5
Answer: A
Question: If S is a positive integer, which of the following must be odd?
Choices:
S^2+S
S^2+S+1
x^2−1
3x^2−3
Answer: B
Question: Present birth rate is 32 per thousand while death rate is 11 per thousand. What will be the percentage increase in the rate of population?
Choices:
21%
0.021%
2.1%
None of these
Answer: C
Question: What will be the output of the following code statements?
Integer a = 13, b = 39, c = 10 print (a × b / c) – c
Choices:
26
29
26
41
Answer: D
Question: The instructions state that Cheryl needs 2/9 square yards of one type of material and 1/8 square yards of another type of material for a project. She buys exactly that amount. After finishing the project, however, she has 4/18 square yards left that she did not use. What is the total amount of square yards of material Cheryl used?
Choices:
1/9
1/8
1 1/9
2 1/9
Answer: B
Question: The concentration of spirit in three different vessels A, B and C are 30%, 30% and 25% respectively. If 4 litres from vessel A, 5 litres from vessel B and 6 litres from vessel C are mixed, find the concentration of spirit in the resultant solution.
Choices:
33%
34%
35%
28%
Answer: D
Question: Arnold wanted to create a perfect shade of pink for his new canvas painting. He started out replacing 25% of a 100% red colored paint with white. He then further replaced 15% of this shade with white. Finally, he repeated the process by replacing 10% of the shade with white. What was the final percentage of red in Arnold's pink paint?
Choices:
51%
68.21%
57.37%
70%
Answer: C
Question: If an item costs Rs.3 in '99 and Rs.203 in '00.What is the % increase in price?
Choices:
200/6 %
100%
200%
none of these
Answer: D
Question: In a certain random experiment, exactly one of the outcomes A, B, and M will occur. In each random experiment, the probability that outcome A will occur is 1/3 , and the probability that outcome B will occur is 1/3. What is the probability that when the random experiment is conducted 6 independent times, each of outcomes A, B, and M will occur twice?
Choices:
1/12
10/81
1/6
16/81
Answer: B
Question: A man buys a cycle for Rs. 1600 and sells it at a loss of 15%. What is the selling price of the cycle?
Choices:
s. 1360
s. 1190
s. 1202
s. 1256
Answer: A
Question: Which of the following data sets has the largest standard deviation?
Choices:
{2, 3, 3, 3, 4}
{2, 2, 2, 4, 5}
{0, 2, 3, 4, 6}
{-1, 1, 3, 5, 7}
Answer: D
Question: At present, the ratio between the ages of Arun and Deepak is 5:4. After 5 years, Arun's age will be 40 years. What is the age of Deepak at present?
Choices:
28
24
22
20
Answer: A
Question: Twenty four men can do a work in 35 days. How many men are required to complete the work in 21 days?
Choices:
40
99
77
21
Answer: A
Question: An express traveled at an average speed of 100 km/hr, stopping for 3 min after every 75 kn. How long did it take to reach its destination 600 km from the starting point?
Choices:
4 hrs 21 min
6 hrs 41 min
6 hrs 21 min
4 hrs 34 min
Answer: C
Question: In a kilometer race, A beats B by 20 meters or 10 seconds. What time does A take to complete the race?
Choices:
490 sec
176 sec
716 sec
123 sec
Answer: A
Question: A group of 4 students bought movie tickets in one row next to each other. If Bob and Lisa are in this group, what is the probability that Bob and Lisa will each sit next to only one of the three other students from the group?
Choices:
16.67%
15.75%
20.45%
25%
Answer: A
Question: AB
+BA
___
141
In the addition problem above, A and B represent digits in two different two-digit numbers. What is the sum of A and B?
Choices:
8
9
11
12
Answer: D
Question: If 6 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is:
Choices:
20:15:11
20:15:12
20:15:18
20:19:19
Answer: B
Question: Find the invalid no.from the following series 3, 7, 15, 27, 63, 127, 255
Choices:
7
27
63
127
Answer: B
Question: (1.00001)(0.99999) - (1.00006)(0.99994) =
Choices:
35(10^-10)
3(10^-10)
10^-5
3(10^-5)
Answer: A
Question: Find ? x 11 = 555555
Choices:
5050
50505
5005
None of these
Answer: B
Question: In 1982 and 1983, Company B’s operating expenses were $12.0 million and $13.0 million, respectively, and its revenues were $15.6 million and $18.8 million, respectively. What was the percent increase in Company B’s profit (revenues minus operating expenses) from 1982 to 1983 ?
Choices:
61 1/9%
25%
33 1/3%
60%
Answer: A
Question: Avg cost of 3 sharpners and 6 erasers is Rs.72. The avg cost of 6 sharpners and 8 erasers is Rs.112. Find the total cost of 20 sharpners and 20 erasers?
Choices:
160
130
200
180
Answer: A
Question: Sachin is younger than Rahul by 4 years. If their ages are in the respective ratio of 7:9, how old is Sachin?
Choices:
24.6
24.2
24.8
24.5
Answer: D
Question: A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained?
Choices:
9:1
9:8
2:1
1:1
Answer: A
Question: Simplify
80âˆ’[5âˆ’(6+2(7âˆ’8âˆ’5Â¯Â¯Â¯Â¯Â¯Â¯Â¯Â¯Â¯Â¯Â¯))]
Choices:
25
89
30
32
Answer: B
Question: In a game of 90 points, A can give B 5 points and C 15 points. then how many points B can give C in a game of 60?
Choices:
7.82
5.82
12.82
8.82
Answer: D
Question: ABCD is a square where AB =âˆš6016. Let X be a point on AB and Y be a point on CD such
that AX = CY . Compute the area of trapezoid AXYD.
Choices:
3008
1008
2016
3000
Answer: A
Question: 12 is what % of 80?
Choices:
6.67
12
13
15
Answer: D
Question: 33
a3
+4b
___
88
If a and b represent positive single digits in the correctly worked computation above, what is the value of the two digit integer ab?
Choices:
12
13
24
34
Answer: A
Question: A train running at 1/4 of its own speed reached a place in 12 hours. How much time could be saved if the train would have run at its own speed?
Choices:
9 hrs
12hrs
15hrs
6hrs
Answer: A
Question: A collector collects stamps from foreign countries. In June, she gave 20 percent of her stamps to her friend. In July, she gave 35 percent of her remaining stamps to another friend. If these were the only changes in the number of stamps in the stamp collection during those two months, what percent of her collection at the beginning of June did she give to away in June and July?
Choices:
36%
40%
44%
48%
Answer: D
Question: How much pure alcohol should be added to 400ml of a 15% solution to make the strength of solution 32%?
Choices:
100 ml
120 ml
130 ml
150 ml
Answer: A
Question: The tailor has a 10 meter long piece of fabric for which to sew a ball room dress.
She has to cuts this fabric into strips of 200 centimeters each.
How long will it take the tailor to complete this tasks if each 200 centimeter took 5 minutes to cut ?
Choices:
200
188
245
123
Answer: C
Question: Find the largest number of four digits which is exactly divisible by 26,18,12,15
Choices:
9710
9360
9130
9140
Answer: B
Question: Set R has a mean of 15 and a standard deviation of 1.5. We are going to add two additional numbers to Set S. Which pair of numbers would decrease the standard deviation the most?
Choices:
{18,19}
{16,18}
{16,16}
{14,16}
Answer: D
Question: Eggs are sold in packages of six or eleven only. If Doris bought 78 eggs exactly, what could be the number of large packs Doris bought?
Choices:
6.
3.
5.
4.
Answer: A
Question: There 3 kinds of books in the library physics, chemistry and biology. Ratio of physics to chemistry is 3 to 2; ratio of chemistry to biology is 4 to 3, and the total of the books is more than 3000. Which one of following can be the total W of the book?
Choices:
3003
3024
3021
3018
Answer: A
Question: The sum of squares of two numbers is 80 and the square of their difference is 36. The product of the two numbers is.
Choices:
22
58
116
None
Answer: A
Question: A salesperson receives a base salary of $900 per month and a commission of 7.5% of the selling price of each item sold above the first 50 item. If this month she sold 210 items for $150 each, what will her monthly salary be?
Choices:
$1,800
$2,100
$2,700
$2,800
Answer: C
Question: If both 112 and 33 are factors of the number a * 43 * 62 * 1311, then what is the smallest possible value of a?
Choices:
3267
363
33
None of the above
Answer: B
Question: Of the students at a certain high school, 90 percent took a course in algebra or geometry and 10 percent took courses in both. If the percent of students who took a course in algebra was 3 times the percent of students who took a course in geometry, what percent of the students took a course in algebra but not geometry?
Choices:
45%
55%
65%
70%
Answer: C
Question: If a certain sample of data has a mean of 25.0 and a standard deviation of 3.0, which of the following values is more than 2.5 standard deviations from the mean?
Choices:
13.5
17.5
23.5
26.5
Answer: B
Question: At the time of marriage, a man was 7 years elder to his wife. 10 years after their marriage, his age is 4/3 times the age of his wife. What was wife's age at the time of marriage ? Choose one answer.
Choices:
30 years
26 years
24 years
11 years
Answer: D
Question: 45 x ? = 60% of 900
Choices:
12
5
500
None
Answer: A
Question: A 500 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
Choices:
4 min 48 sec
4 min 38 sec
4 min 18 sec
4 min 8 sec
Answer: A
Question: If an amount of Rs 42,460 is distributed equally
amongst 22 persons, how much amount would each
person get?
Choices:
Rs 2000
Rs 1930
Rs 765
None
Answer: B
Question: What is the average of four tenths and two thousandths
Choices:
0.3325
0.201
0.2012
0.2114
Answer: B
Question: If x^2 - 1 = 0 and x < 0, which of the following must be equal to 0 ?
Choices:
x^2 - 9x + 20
x^2 - 2x + 3
x^2 + 2x + 1
x^2 + 5x + 6
Answer: C
Question: A factory has 500 workers, 18 percent of whom are women. If 50 additional workers are to be hired and all of the present workers remain, how many of the additional workers must be women in order to raise the percent of women employees to 20 percent?
Choices:
10
20
30
35
Answer: B
Question: An airplane flies along the four sides of a square field at the speeds of 200, 400, 600 and 800 km/h. The average speed of the plane around the field in km/h is
Choices:
384
500
284
None of these
Answer: A
Question: If N = 2^0.1 and N^b = 16, b must equal
Choices:
3/5
40
5/3
80/3
Answer: B
Question: A can run 4 times as fast as B and gives B a start of 63 m. How long should the race course be so that A and B might reach in the same time?
Choices:
60 m
80 m
65 m
84 m
Answer: D
Question: Find the amount on Rs.5000 in 2 years, the rate of interest being 4% per first year and 5% for the second year?
Choices:
2678
5460
1976
1671
Answer: B
Question: A straight fence is to be constructed from posts 6 inches wide and separated by lengths of chain 9 feet long. If a certain fence begins and ends with a post, which of the following could not be the length of the fence in feet? (12 inches = 1 foot)
Choices:
48
55
67
86
Answer: B
Question: In how many ways can the letters of the word ED456 be rearranged such that the numbers always appear together?
Choices:
16
36
9
29
Answer: B
Question: A, B, C, D and E play a game of cards. A says to B, "If you give me 3 cards, you will have as many as I have at this moment while if D takes 5 cards from you, he will have as many as E has." A and C together have twice as many cards as E has. B and D together also have the same number of cards as A and C taken together. If together they have 150 cards, how many cards has C got ?
Choices:
28
31
35
37
Answer: A
Question: Two employees X and Y are paid a total of Rs. 330 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Choices:
s.150
s.250
s.350
s.400
Answer: A
Question: A certain car increased its average speed by 4 miles per hour in each successive 5-minute interval after the first interval. If in the first 5-minute interval its average speed was 20 miles per hour, how many miles did the car travel in the third 5-minute interval?
Choices:
1.5
2.0
2.5
3.0
Answer: C
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 24 kmph and 48 kmph. After how much time will the trains meet?
Choices:
20/4 sec
20/7 sec
22/7 sec
5 sec
Answer: D
Question: A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
Choices:
869
865
860
861
Answer: C
Question: Find the lowest common multiple of 24, 36 and 40.
Choices:
360
510
320
280
Answer: A
Question: The measurement of a rectangular box with lid is 25cmx4cmx18cm. Find the volume of the largest sphere that can be inscribed in the box (in terms of πcm3). (Hint: The lowest measure of rectangular box represents the diameter of the largest sphere)
Choices:
10.11
72
10.66
9.2
Answer: C
Question: Length of a rectangular plot is 10 mtr more than its breadth. If the cost of fencing the plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?
Choices:
55 m
80 m
82 m
84 m
Answer: A
Question: The concentration of spirit in three different vessels A, B and C are 30%, 50% and 25% respectively. If 4 litres from vessel A, 5 litres from vessel B and 6 litres from vessel C are mixed, find the concentration of spirit in the resultant solution.
Choices:
33%
34.67%
35%
36.62%
Answer: B
Question: The side of a rhombus is 24 m and length of one of its diagonals is 18 m. The area of the rhombus is?
Choices:
403.47
420.47
400.47
300.47
Answer: C
Question: If the C.I. on a sum for 2 years at 12 1/2 % per annum is Rs. 510, the S.I. on the same sum at the same rate for the same period of time is?
Choices:
278
299
480
276
Answer: C
Question: If the number a60,858,61b is evenly divisible by 88, what are the values of a and b?
Choices:
b = 6, a = 6
b = 2, a = 1
b = 4, a = 6
b = 4, a = 3
Answer: A
Question: From a pack of cards, two cards are drawn one after the other, with replacement. What is the probability that the first card is a club and the second card is a king or queen?
Choices:
3/13
1/26
1/52
3/52
Answer: B
Question: Select the non termination decimal among the following.
Choices:
22/3
4/5
7/8
9/10
Answer: A
Question: Two pipes A and B can fill a cistern in 9 and 18 minutes respectively, and a third pipe C can empty it in 24 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Choices:
7 min
8 min
10 min
17 min
Answer: B
Question: How many liters of water must be evaporated from 50 liters of a 8-percent sugar solution to get a 10-percent solution?
Choices:
10
12
14
16
Answer: A
Question: The salary of a worker is first increased by 20% and afterwards reduced by 20%. What is the net change in the worker's salary?
Choices:
4% decrease
4% increase
8% increase
no change
Answer: A
Question: A family consists of grandparents, parents and three grand children. The average age of the grandparents is 67 years, that of the parents is 36 years and that of the grandchildren is 6 years. What is the average age of the family?
Choices:
31 5â„7 years
32 years
27 1â„2 years
None of these
Answer: B
Question: How many digits to the right of the decimal point are there in the product of .32655 * 65.01?
Choices:
5
4
6
7
Answer: D
Question: Laura has a deck of standard playing cards with 18 of the 54 cards designated as aheart.If Laura shuffles the deck thoroughly and then deals 10 cards off the top of the deck, what is the probability that the 10th card dealt is a heart?
Choices:
1/3
5/26
12/42
13/42
Answer: A
Question: A man who goes to work long before sunrise every morning gets dressed in the dark. In his sock drawer he has 6 black and 8 blue socks. What is the probability that his first pick was a black sock, but his second pick was a blue sock?
Choices:
24/91
24/97
24/95
24/93
Answer: A
Question: If y exceeds x by 20%, then x is less than y by?
Choices:
16 8/3%
16 2/3%
76 2/3%
17 2/3%
Answer: B
Question: 1600 men have provisions for 28 days in the temple. If after 4 days, 400 men leave the temple, how long will the food last now?
Choices:
26 days
32 days
34 days
25 days
Answer: B
Question: A positive integer is divisible by 3 if and only if the sum of its digits is divisible by 3. If the six-digit integer is divisible by 3, and n is of the form 4k2,k21, where k represents a digit that occurs twice, how many values could n have?
Choices:
3
6
5
4
Answer: D
Question: One root of the quadratic equation x2 - 12x + a = 0, is thrice the other. Find the value of a?
Choices:
-27
28
7
None of these
Answer: D
Question: Find the angle between the hour hand and the minute hand of a clock when 3.25.
Choices:
47 1/2°
48 1/2°
46 1/2°
42 1/2°
Answer: A
Question: A rectangular rug with side lengths of 2 feet and 6 feet is placed on a square floor that has an area of 65 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
53/65
7/8
Answer: C
Question: The cross-section of a cannel is a trapezium in shape. If the cannel is 10 m wide at the top and 6 m wide at the bottom and the area of cross-section is 640 sq m, the depth of cannel is?
Choices:
97
37
80
22
Answer: C
Question: 2 hours after train A leaves Lucknow a train B leaves the same stationtraveling in the same direction at an average speed of 16 km/hr. After traveling 6 hrsthe train B overtakes the train A. What is the average speed of the train A?
Choices:
12 km/hr
17 km/hr
18 km/hr
None of these
Answer: A
Question: A trader sells 85 meters of cloth for Rs. 8500 at the profit of Rs. 15 per metre of cloth. What is the cost price of one metre of cloth?
Choices:
Rs. 85
Rs. 90
Rs. 95
None of these
Answer: A
Question: How much more would Rs.15000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
Choices:
A)Rs.3,961.50
C)Rs.3,963.50
D)Rs.3,964.50
E)Rs.3,965.50
Answer: A
Question: Tough and Tricky questions: Word Problems.
A salesman's income consists of commission and base salary. His weekly income totals over the past 7 weeks have been $406, $413, $420, $436, $395, $410, $360. What must his average (arithmetic mean) income over the next two weeks be to increase his average weekly income to $500 over the 9-week period?
Choices:
$790
$630
$830
$715
Answer: C
Question: A student was asked to find the arithmetic mean of the numbers 13,31,78,92,115,103,68,10,57,21,34 and a. He found the mean to be 60. What should be the remainder in the place of a?
Choices:
98
120
165
132
Answer: A
Question: How many 5 letter combinations can be made from the letters of the word VERMONT if the first letter has to be a vowel and the last letter has to be a vowel, and each letter can be used only once?
Choices:
42
120
600
720
Answer: B
Question: Average of 80 numbers are 42. When 5 more numbers are included, the average of 85 numbers become 45. Find the average of 5 numbers.
Choices:
89
93
98
69
Answer: B
Question: A man sells an article at a profit of 25%. If he had bought it at 20% less and sold it for Rs.10.50 less, he would have gained 30%. Find the cost of the article.
Choices:
40
50
60
70
Answer: B
Question: if abcd is four digit highest number that is divisible by 10.9.22 give remainder 4,9,10. find bc
Choices:
89
95
98
97
Answer: B
Question: Which of the following numbers completes
the sequence 3, 8, 14, 21, 29, 38, 48, 59, 71, 84, ___?
Choices:
36
37
98
109
Answer: C
Question: Birbal is a witty trader who trade of a mystical fruit grown far in north. He travels from one place to another with three sacks which can hold 30 fruits each. None of the sack can hold more than 30 fruits. On his way, he has to pass through thirty check points and at each check point, he has to give one fruit for each sack to the authorities.
How many mystical fruits remain after he goes through all the thirty check points?
Choices:
25 Fruits
23 Fruits
21 Fruits
27 Fr5uits
Answer: A
Question: If it is 6:27 in the evening on a certain day, what time in the morning was it exactly 2,876,397 minutes earlier? (Assume standard time in one location.)
Choices:
6:30
6:17
6:12
6:08
Answer: A
Question: If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance traveled by him is?
Choices:
50 km
18 km
29 km
19 km
Answer: A
Question: Which of the following is not a leap year?
Choices:
700
900
1000
1200
Answer: A
Question: Two trains of equal length are running on parallel lines in the same directions at 46km/hr. and 36km/hr. The faster trains pass the slower train in 144 seconds. The length of each train is:
Choices:
150m
172m
200m
None of these
Answer: C
Question: 21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement.
Choices:
9/31
9/42
7/31
9/41
Answer: B
Question: An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
Choices:
33 1/2%
33 1/3%
33 6/3%
32 1/3%
Answer: B
Question: Simplify: 5793405 x 9999
Choices:
57928256595
57989252865
57568226348
None of them
Answer: A
Question: A man buys a cycle for Rs. 1600 and sells it at a loss of 12%. What is the selling price of the cycle?
Choices:
1420
1430
1408
1540
Answer: C
Question: Angela, Bernie, and Colleen can complete a job, all working together, in 3 hours. Angela and Bernie, working together at their respective rates, can complete the same job in 4 hours. How long would it take Colleen, working alone, to complete the entire job?
Choices:
10 hours
12 hours
16 hours
20 hours
Answer: B
Question: A shopkeeper sold an article offering a discount of 5% and earned a profit of 23.5%. What would have been the percentage of profit earned if no discount was offered?
Choices:
28.5
30
Data inadequate
None of these
Answer: B
Question: The average number of shirts with Salman, Ambani and Dalmiya is 40, if all of them reached a shopping mall in Delhi and purchased 8 shirts each of them then average number of shirt each of them now has
Choices:
63
48
can't be determined
None of these
Answer: B
Question: Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 50 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Choices:
28 1/7 min
17 1/7 min
17 1/8 min
15 15/19 min
Answer: D
Question: If I walk at 3 kmph, I miss the train by 2 min, if however, I walk at 4 kmph. I reach the station 2 min before the arrival of the train. How far do I walk to reach the station?
Choices:
3/5 km
5/5 km
4/4 km
4/5 km
Answer: D
Question: A positive whole number has factors of 2 and 4. The number MUST be divisible by: I. 16 II. 8 III. 4
Choices:
II & III
III
I
II
Answer: C
Question: What is the probability of a/b will be an integer when a=2x3y and b=2l3m and all of x, y, I, m are positive integers?
Choices:
2/3
1/2
1/4
3/4
Answer: C
Question: A Fruit Seller buys lemons at 2 for a rupee and sells them at 5 for three rupee. His profit percentage is
Choices:
50%
60%
20%
None
Answer: C
Question: 8 3/4 + 7 2/17 - 9 1/15=?
Choices:
9 817/1020
9 719/1020
6 817/1020
None of them
Answer: C
Question: A hiker walking at a constant rate of 4 miles per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 32 miles per hour. the cyclist stopswaits for the hiker 5 min 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
35
Answer: D
Question: 10^(600) Ã· 10^(580) = ?
Choices:
10^20
10^22
10^23
10^24
Answer: A
Question: What decimal fraction is 30 ml of a litre ?
Choices:
.0003
.003
0.03
None of these
Answer: C
Question: Simplify: 896 x 896 - 204 x 204
Choices:
761200
761800
761500
None of them
Answer: A
Question: The sum of digits of a two digit number is 10,The difference between the digits is 6. Find the number
Choices:
94
82
72
None
Answer: B
Question: In a certain supermarket, a triangular display of cans is arranged in 10 rows, numbered 1 through 10 from top to bottom. Each successively numbered row contains 3 more cans than the row immediately above it. If there are fewer than 150 cans in the entire display, how many cans are in the fifth row?
Choices:
11
13
14
16
Answer: B
Question: Consider a right triangle EBC with length of sides being x,y and z where y represents the hypotenuse , Which of these represent the radius of the circle which is inscribed in triangle EBC
Choices:
[B] x-y+z/3
[C] x-y+z/2
[D] (x^2 + y^2 + z^2)/3
[E] cannot be determined
Answer: B
Question: A person goes to his office at 1/3rd of the speed at which he returns from his office. If the avg speed during the whole trip is 6m/h. what is the speedof the person while he was going to his office?
Choices:
4km/h
10km/h
11km/h
13km/h
Answer: A
Question: Two trains, A and B, started simultaneously from opposite ends of a 75-mile route and traveled toward each other on parallel tracks. Train A, traveling at a constant rate, completed the 75-mile trip in 3 hours; Train B, traveling at a constant rate, completed the 75-mile trip in 2 hours. How many miles had train A traveled when it met train B?
Choices:
22.5
30
37.5
45
Answer: B
Question: A certain auto manufacturer sold 5% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.1 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007?
Choices:
2,000,000
2,030,000
2,040,000
2,300,000
Answer: A
Question: The ratio of the present ages of Giri and Hari is 5:8. 12 years hence, the ratio of their ages will be 11:14. Find the difference in their present ages?
Choices:
6
9
2
5
Answer: A
Question: How many times are the hands of a clock at right angle in a day?
Choices:
44
48
50
52
Answer: A
Question: Gold is 10 times as heavy as water and copper is 6 times as heavy as water. In what ratio should these be mixed to get an alloy 8 times as heavy as water?
Choices:
1:1
3:1
5:2
4:3
Answer: A
Question: Which of the following data sets has the smallest standard deviation?
Choices:
{2, 3, 3, 3, 4}
{2, 2, 2, 4, 5}
{0, 2, 3, 4, 6}
{-1, 1, 3, 5, 7}
Answer: A
Question: A store owner estimates that the average price of type A products will increase by 20% next year and that the price of type B products will increase by 11% next year. This year, the total amount paid for type A products was $3500 and the total price paid for type B products was $8600. According to the store owner's estimate, and assuming the number of products purchased next year remains the same as that of this year, how much will be spent for both products next year?
Choices:
$13,746
$16,000
$16,225
$17,155
Answer: A
Question: Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
Choices:
10
12
17
14
Answer: A
Question: How many of the following numbers are divisible by 132?
264, 396, 462, 792, 968, 2178, 5184, 6336,528,1320,660
Choices:
5
6
7
8
Answer: C
Question: Two trains of equal are running on parallel lines in the same direction at 44 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
Choices:
40
66
55
22
Answer: A
Question: What is the unit digit in (4137)754?
Choices:
5
9
13
15
Answer: B
Question: A husband wants to share of x% of his savings of total $10,0000 to his wife. After home expenses, the husband reduce this amount by (x − 9)%. In terms of x, how much $ amount will the wife get?
Choices:
(x)(1009 – x)
(1000)(1009 – x)
(1000)(91– x)
(x-9)/1000
Answer: A
Question: Find the missing figures :
?% of 70 = 2.125
Choices:
3.04
8.7
7.7
4.05
Answer: A
Question: What is the sum of natural numbers between 90 and 100
Choices:
1045
5000
5500
5550
Answer: A
Question: The compound and the simple interests on a certain sum at the same rate of interest for two years are Rs.11730 and Rs.10200 respectively. Find the sum.
Choices:
17000
2665
28876
313
Answer: A
Question: Find the expenditure on digging a well 14m deep and of 3m diameter at Rs.15 per cubic meter?
Choices:
2799
2890
1485
2780
Answer: C
Question: The banker's discount on Rs.1800 at 12% per annum is equal to the true discount on Rs.1872 for the same time at the same rate. Find the time?
Choices:
4 months
5 months
6 months
7 months
Answer: A
Question: Which of the following is a prime number?
Choices:
2
25
9
27
Answer: A
Question: How many multiples of 5 are there between 50 and 500 ?
Choices:
91
89
61
60
Answer: B
Question: What is the remainder when 14,451 × 15,651 × 16,788 is divided by 5?
Choices:
2
4
3
5
Answer: C
Question: If P represents the product of the first 14 positive integers, then P is NOT a multiple of
Choices:
84
72
65
85
Answer: D
Question: Six persons standing in queue with different age group, after two years their average age will be 43 and seventh person joined with them. Hence the current average age has become 45. Find the age of the 7th person.
Choices:
69
71
72
73
Answer: A
Question: 15 men and 12 boys finish a job in 11 days, 13 men and 13 boys finish it in 10 days. 10 men and 10 boys shall finish it in how many days?
Choices:
17
12
11
12
Answer: C
Question: A grocer is storing soap boxes in cartons that measure 30 inches by 42 inches by 60 inches. If the measurement of each soap box is 7 inches by 6 inches by 5 inches, then what is the maximum number of soap boxes that can be placed in each carton?
Choices:
360
280
300
420
Answer: A
Question: A, B and C rent a pasture. If A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing and the rent of the pasture is Rs. 210, then how much amount should C pay as his share of rent?
Choices:
54
25
15
55
Answer: A
Question: What should come in place of the question mark (?) in the following number series?
15 19 ? 27 31
Choices:
23
20
25
None of these
Answer: A
Question: In May, the groundskeeper at Spring Lake Golf Club built a circular green with an area of 65π square feet. In August, the groundskeeper doubled the distance from the center of the green to the edge of the green. What is the total area of the renovated green?
Choices:
130π
200π
260π
320π
Answer: C
Question: A basketball is dropped from a height of 20 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 2 full bounces.
Choices:
55
60
75
100
Answer: D
Question: At a certain zoo, the ratio of sea horse to penguins is 5 to 11. If there are 85 more penguins than sea horses at the zoo, how many sea horses are there?
Choices:
36
48
70
132
Answer: C
Question: How many liters of water must be evaporated from 50 liters of a 3-percent sugar solution to get a 10-percent solution?
Choices:
35
27
16 2/3
15
Answer: A
Question: Shannon and Maxine work in the same building and leave work at the same time. Shannon lives due north of work and Maxine lives due south. The distance between Maxine's house and Shannon's house is 50 miles. If they both drive home at the rate 2R miles per hour, Maxine arrives home 40 minutes after Shannon. If Maxine rider her bike home at the rate of R per hour and Shannon still drives at a rate of 2R miles per hour, Shannon arrives home 2 hours before Maxine. How far does maxine live from work?
Choices:
34
38
40
46
Answer: D
Question: A squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 3 feet . How many feet does the squirrel travels if the post is 27 feet tall and 3 feet in circumference?
Choices:
12 feet
27 feet
15 feet
18 feet
Answer: B
Question: 7 people average age is 30. youngest person age is 8. find average of the people when youngest was born.
Choices:
24
25
22
27
Answer: C
Question: The ratio of two numbers is 3:4 and their sum is 28. The greater of the two numbers is?
Choices:
14
16
17
19
Answer: B
Question: At the time of marriage, a man was 10 years elder to his wife. 16 years after their marriage, his age is 6/5 times the age of his wife. What was wife's age at the time of marriage ? Choose one answer.
Choices:
16 years
14 years
24 years
10 years
Answer: B
Question: A man is 22 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
Choices:
18 years
20 years
22 years
16 years
Answer: B
Question: Two pipes P and Q can fill a cistern in 12 and 14 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?
Choices:
11 1/4 min
11 2/4 min
11 1/5 min
10 1/2 min
Answer: D
Question: For a race a distance of 224 meters can be covered by P in 16 seconds and Q in 32 seconds. By what distance does P defeat Q eventually?
Choices:
238m
224m
331m
236m
Answer: B
Question: If two dice are thrown simultaneously, then find the probability that the sum of numbers appeared on the dice is 12?
Choices:
7/36
5/36
1/36
12/36
Answer: C
Question: If P(32, 6) = kC (32, 6), then what is the value of k?
Choices:
32
120
720
820
Answer: C
Question: On a certain planet where people usually tend to live for more than a century, the ratio of present ages of father and son is 7:4. 10 years later, the ratio of their ages will be 5:3. What is the sum of their present ages?
Choices:
220
140
80
60
Answer: A
Question: Venkat purchased twenty dozens of toys at the rate of 375 per dozen. He sold each one of them at the rate of 33. What was his percentage profit?
Choices:
5.6
3.5
4.5
None of these
Answer: A
Question: For one toss of a certain coin, the probability that the outcome is heads is 0.7. If this coin is tossed 5 times, which of the following is the probability that the outcome will be heads at least 4 times?
Choices:
2(0.7)^4
3(0.7)^4
4(0.7)^4(0.3) + (0.7)^5
5(0.7)^4(0.3) + (0.7)^5
Answer: D
Question: 1/3 of certain journey is covered at the rate of 25kmph,one-fourth at the rate of 30kmph and the rest at 50 kmph.Find the avg speed for the whole journey.
Choices:
28.675 kmph
33.333 kmph
40.134 kmph
50.254 kmph
Answer: B
Question: In a basketball game, Dhoni scored 10 points more than Dravid, but only half as many points as Shewag. If the three players scored a combined total of 130 points, how many points did Dhoni score?
Choices:
55
35
65
70
Answer: B
Question: If P is a prime number greater than 10, what is the remainder when P^2 is divided by 2.
Choices:
1
2
3
4
Answer: A
Question: In the coordinate plane, a circle centered on point (-3, -3) passes through point (1, 1). What is the area of the circle?
Choices:
32π
25π
37π
41π
Answer: A
Question: Rahul can done a work in 5 days and meena can done a work in 10 days.In how many days that both are work together?
Choices:
10/3
1/3
5
6/3
Answer: A
Question: P and Q started a business with respective investments of Rs. 4 lakhs and Rs. 10 lakhs. As P runs the business, his salary is Rs. 5000 per month. If they earned a profit of Rs. 2 lakhs at the end of the year, then find the ratio of their earnings?
Choices:
1:3
1:1
1:2
1:9
Answer: C
Question: At Joel’s bookstore, the current inventory is 40% historical fiction. Of the historical fiction books, 40% are new releases, while 40% of the other books are new releases. What fraction of all new releases are the historical fiction new releases?
Choices:
8/23
2/5
8/15
2/5
Answer: D
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.18000. A's share is?
Choices:
Rs.7200
Rs.6000
Rs.5750
Rs.6750
Answer: B
Question: In how much time will a train of length 140 m, moving at 36 kmph cross an electric pole?
Choices:
sec
sec
sec
sec
Answer: C
Question: There is a sequence ni such, in which i is a positive integer, ni+1=2ni.
If n1=1, n2=2, n3=4, n4=8, what is the scope including n41?
Choices:
1,000~10,000
10,000~100,000
100,000~1,000,000
1,000,000,000,000~
Answer: D
Question: The ratio between the speeds of two persons is 7:8.If the second main runs 400 km in 4 hours,then find the speed of the another person?
Choices:
87.5km/hr
80.5 km/hr
92 km/hr
120.1 km/hr
Answer: A
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:
09 a.m.
12 a.m.
10 a.m.
07 a.m.
Answer: C
Question: In a certain group of 10 members, 4 members teach only French and the rest teach only Spanish or German. If the group is to choose 4-member committee, which must have at least 1 member who teaches French, how many different committee can be chosen ?
Choices:
171
186
196
200
Answer: A
Question: Rectangular tile each of size 80cm by 40cm must be laid horizontally on a rectangular floor of size 130cm by 230cm,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:
2
8
9
7
Answer: C
Question: There are two numbers. If 60% 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:
5/12
5/3
5/8
5/1
Answer: A
Question: At what rate percent per annum will a sum of money double in 9 years.
Choices:
13.5%
11.5%
11.1%
21.5%
Answer: C
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 600 grams per kg, what is his percent?
Choices:
25
66
88
11
Answer: B
Question: A certain car dealership offers its newest model in ten exterior and nine interior colors. If the ten interior colors are identical to the nine exterior colors, and the dealership sells every pair of colors except those that would result in a car with an identically colored interior and exterior, how many different color combinations are possible?
Choices:
81
90
10!/2!
10!
Answer: A
Question: Sum of the squares of three numbers is 363 and the sum of their products taken two at a time is 131. Find the sum?
Choices:
22
25
27
29
Answer: B
Question: If a is a positive number and 1/4 the square root of a is equal to 2a, then a =
Choices:
1/64
1/2
4
16
Answer: A
Question: In March, Bill ran an average of 1 mile an hour. If by June he had increased his pace by 10 seconds per mile, then which of the following expresses the number of hours it would take Bill to complete one mile in June?
Choices:
3590/60^2
2390/60^2
3586/60
60^2/3590
Answer: A
Question: If positive integers x is even and y is odd, which of the following must be odd?
Choices:
3x+y-1
x+y
x + y -1
3(x + y) - 3
Answer: B
Question: A car crosses a 600 m long bridge in 5 minutes. Whatis the speed of car in km per hour?
Choices:
7.2 km/hr
8 km/hr
8.2 km/hr
8.3 km/hr
Answer: A
Question: Last year the price range (per kg) for 100 varieties of apples in wholesale market was $1,00. If the prices of each of the 100 varieties increased by 10 percent this year over what it was last year, what is the range of the wholesale prices of the 1000 varieties of apples this year?
Choices:
$ 100
$ 110
$600
$300
Answer: B
Question: A certain car's price decreased by 2.5% (from the original price) each year from 1996 to 2002, during that time the owner of the car invested in a new carburetor and a new audio system for the car, which increased car's price by $3,500. If the price of the car in 1996 was $22,000, what is the car's price in 2002?
Choices:
$19,500
$22,200
$20,400
$21,100
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)(0.0019)?
Choices:
20
21
18.81
22
Answer: C
Question: Two assembly line inspectors, smithy and glen, inspect widgets as they come off the assembly line. If smithy inspects every fifth widget, starting with the fifth, and glen inspects every third, starting with the third, how many of the 98 widgets produced in the first hour of operation are not inspected by either inspector?
Choices:
53
55
60
65
Answer: A
Question: A booster pump can be used for filling as well as for emptying a tank. The capacity of the tank is 2400 . The emptying capacity of the tank is 10 per minute heigher than its filling capacity and the pump needs 8 minutes lesser to empty the tank than it needs to fill it. What is the filling capacity of the pump?
Choices:
50 m^3/min
50 m^9/min
59 m^3/min
50 m^4/min
Answer: A
Question: The annual budget of a certain college is to be shown on a circle graph. If the size of each sector of the graph is to be proportional to the amount of the budget it represents, how many degrees of the circle should be used to represent an item that is 20 percent of the budget?
Choices:
36 °
54 °
72 °
150 °
Answer: C
Question: Marts income is 50 percent more than Tims income and Tims income is 40 percent less than Juans income. What percentage of Juans income is Marts income
Choices:
b) 120 %
c) 96 %
d) 90 %
e) 64 %
Answer: C
Question: Joe’s average (arithmetic mean) test score across 4 equally weighted tests was 60. He was allowed to drop his lowest score. After doing so, his average test score improved to 65. What is the lowest test score that was dropped?
Choices:
45
55
65
80
Answer: A
Question: A batsman makes a score of 87 runs in the 17th inning and thus increases his avg by 3. Find his average after 17th inning.
Choices:
39
43
52
34
Answer: A
Question: Pipes A and B can fill a cistern in 8 and 24 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?
Choices:
12
14
61
51
Answer: A