antoine-444/aqua_rat_dataset huggingface dataset:
Question: A circle graph shows how the MegaTech corporation allocates its Research and Development budget: 10% microphotonics; 24% home electronics; 15% food additives; 29% genetically modified microorganisms; 8% industrial lubricants; and the remainder for basic astrophysics. If the arc of each sector of the graph is proportional to the percentage of the budget it represents, how many degrees of the circle are used to represent basic astrophysics research?
Choices:
10°
18°
36°
50°
Answer: D
Question: Find the area of a parallelogram with base 24 cm and height 16 cm?
Choices:
384 cm2
187 cm2
167 cm2
158 cm2
Answer: A
Question: The cost of type 1 rice is Rs 15 per Kg and type 2 rice
is Rs 20 per Kg. If both type1 and type 2 are mixed in the
ratio of 2:3,then the price per Kg of the mixed variety
of rice is?
Choices:
18
20
25
30
Answer: A
Question: The total age of A and B is 12 years more than the total age of B and C.C is how many years younger than A ?
Choices:
12
C is elder than A
Data inadequate
None of these
Answer: A
Question: At present, the ratio between the ages of Arun and Deepak is 4:5. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present?
Choices:
15 years
18 years
12 years
25 years
Answer: D
Question: If a sample of data has mean of 20 and SD of 3, which of the following values is more than 2.3 SDs from the mean?
Choices:
13
15
18
19
Answer: A
Question: To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of bucket is reduced to two-fifth of its present ?
Choices:
62.5
72.5
82.5
81.5
Answer: A
Question: A man can row a boat at 15 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
Choices:
80/13 hours
30/73 hours
30/13 hours
20/7 hours
Answer: D
Question: Can you find the missing number in the sequence below
14 -20 34 -54 ? -144
Choices:
88
66
55
44
Answer: A
Question: A man can row downstream at 18 kmph and upstream at 8 kmph. Find the speed of the man in still water and the speed of stream respectively?
Choices:
5
6
4
9
Answer: A
Question: In February Wilson’s earnings were 40 percent of his family’s total income. In March Wilson earned 25 percent less than in February. If the rest of his family’s income was the same in both months, then, in March, Wilson’s earnings were approximately what percent Z of his family’s total income?
Choices:
17%
24%
30%
33%
Answer: D
Question: In filling a fish tank with water that is 50 m * 10 m * 1 m the volumes of water filled will be?
Choices:
500 cu.m
50000 cu.m
3000 cu.m
4000 cu.m
Answer: A
Question: If a1 = 1 and an+1= 2an + 5, n = 1, 2 .. , then a10 is equal to ?
Choices:
a. 6*2^9 -5
c. 6*2^99+5
d. 6*2^99-5
e. 6*2^99-6
Answer: A
Question: 5 identical snow plows can clear an iced parking lot in 18 hours. How long would it take 6 such snow plows to clear the same parking lot?
Choices:
2 hours, 30 minutes
3 hours
7 hours, 30 minutes
15 hourss
Answer: D
Question: if v is a positive integer greater than 8, which of the following must be divisible by 4?
Choices:
v(v-1)(v+3)(v+4)
v(v-3)(v+2)(v+4)
v(v-3)(v+2)(v+3)
v(v+1)(v+3)(v+4)
Answer: C
Question: If a bank account has $1000 with an interest rate of 5% compounded annually, how much money will the account have after 10 years?
Choices:
1629
1834
1912
2012
Answer: A
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 16 cm
Choices:
304 cm2
285 cm2
167 cm2
197 cm2
Answer: A
Question: A man engaged a servant on the condition that he would pay him Rs.800 and a uniform after one year service. He served only for 9 months and received uniform and Rs.400, find the price of the uniform?
Choices:
s.800
s.90
s.100
s.120
Answer: A
Question: Two identical cubes if one of them is painted pink on its 4 sides and blue on the remaining two side then how many faces painted pink to other cube so that probability of getting the same color is 1/3 when we roll both the cubes.
Choices:
0
8
7
1
Answer: A
Question: The ratio of two cow A,B milk is 5:3.3kg milk of cow A get distributed and 1kg milk of cow B get distributed.now,8kg milk of cow B left.Now what is the ratio of cow A and B left milk?
Choices:
3:2
5:4
6:5
5:3
Answer: A
Question: The number which exceeds 16% of it by 105 is :
Choices:
125
58
60
62
Answer: A
Question: A student divided a number by 2/3 when he required to multiply by 3/2. Calculate the percentage of error in his result.
Choices:
0
18
1
120
Answer: A
Question: A popular website requires users to create a password consisting of the digits {1,2,3,4,5,6}. If no digit may be repeated and each password must be at least 5 digits long, how many passwords are possible?
Choices:
2 x 6!
5! x 6!
11!
12!
Answer: A
Question: If x = (y)(y + 1) and y is a prime number less than 7, which of the following could not be the product of 2 consecutive integers?
Choices:
b) 11x
c) 13x
d) 30x
e) 57x
Answer: D
Question: The average age of three boys is 15 years and their ages are in proportion 3:5:7. What is the age in years of the youngest boy?
Choices:
9
11
12
13
Answer: A
Question: Joe drives 240 miles at 60 miles per hour, and then he drives the next 120 miles at 40 miles per hour. What is his average speed for the entire trip in miles per hour?
Choices:
51
50
54
56
Answer: A
Question: In a shop 50% of the articles are sold at a profit of 20% and the remaining at a loss of 30%.what is the overall profit/loss?
Choices:
8% loss
no profit, no loss
20% profit
5% loss
Answer: D
Question: Each week, Harry is paid x dollars per hour for the first 30 hours and 2x dollars for each additional hour worked that week. Each week, James is paid x dollars per per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 41 hours If Harry and James were paid the same amount last week, how many hours did Harry work last week ?
Choices:
36
37
38
39
Answer: A
Question: A certain sum of money doubles itself in 10 years in how much many years will it trible itself at the same rate?
Choices:
20
77
66
21
Answer: A
Question: How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5 % per annum of simple interest ?
Choices:
4 years
4.5 years
5 years
None
Answer: A
Question: Three partners A,B and C shared the profit in a software business in the ratio 5:7:8. They had partnered for 14 months, 8 months and 7 months respectively. Find the ratio of their investments?
Choices:
20:49:64
20:49:65
20:50:64
None of these
Answer: A
Question: A basketball team scored x points per game in its first n games of the season, and in all the following games it scored an average (arithmetic mean) of y points per game. What was the average number of points per game in its first n + 2 games?
Choices:
x + y/(n + 3)
(x + 3y)/(n + 3)
(nx + 3y)/(n + 2)
(3x + ny)/(n + 3)
Answer: C
Question: Indu gave Bindu Rs.5000 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
Choices:
8
9
5
1
Answer: A
Question: The average weight of 25 boys sitting in a class had some value. A new boy added to them whose weight was 46 kg only. Due to his arrival, the average weight of all the boys decreased by 5 kg. Find the average weight of first 25 boys?
Choices:
152
176
180
182
Answer: B
Question: A baker filled with a measuring cup with 3/5 cup water. He poured 1/2 of the water into the batter, and then spilled 1/8 of the water on the floor. How much water will the baker needed to add what is left in the cup to have 50% more than what he started with?
Choices:
3/8 cup
1/4 cup
1/2 cup
29/40 cup
Answer: D
Question: Find the number of bricks, each measuring 24 cm x 12 cm x 8 cm, required to construct a wall 24 m long, 8m high and 60 cm thick, if 10% of the wall is filled with mortar?
Choices:
45000
55000
65000
None of these
Answer: A
Question: Excluding stoppages, the speed of a bus is 84 kmph and including stoppages, it is 70 kmph. For how many minutes does the bus stop per hour?
Choices:
10 min
15 min
14 min
13 min
Answer: A
Question: When x is multiplied by 3, the result is 18 more than the result of subtracting x from 70. What is the value of x?
Choices:
-2
11
13
22
Answer: D
Question: An express traveled at an average speed of 80 km/hr, stopping for 3 min after every 45 kn. How long did it take to reach its destination 480 km from the starting point?
Choices:
4 hrs 21 min
6 hrs 41 min
6 hrs 27 min
4 hrs 34 min
Answer: C
Question: What would be the compound interest on Rs.7700/- at 15 ¼% per year for 2 years compounded annually
Choices:
2527.57
2572.57
2752.57
2725.57
Answer: A
Question: Two letters from the word BARKHINT are selected at random. What is the probability that at least one of the selected letters is a consonant?
Choices:
40/28
25/28
27/28
32/28
Answer: C
Question: James purchased n items from a catalog for $12 each. Postage and handling charges consisted of $5 for the first item and $2 for each additional item. Which of the following gives the total dollar amount for Kim’s purchase, including postage and handling, in terms of n ?
Choices:
13n + 3
13n + 2
13n + 6
13n + 5
Answer: A
Question: A bag contains 26 purple jellybeans, 15 green jellybeans, and 9 yellow jellybeans; these jellybeans are the only items in the bag. If a person picks a jellybean at random out of the bag, what is the probability that the jellybean will be green?
Choices:
20%
25%
30%
35%
Answer: C
Question: If x is a positive integer, then the least value of x for which x! is divisible by 100 is?
Can someone please explain intuitively what the question is asking?
Choices:
9
10
15
30
Answer: B
Question: A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
Choices:
876 m
868 m
100 m
862 m
Answer: C
Question: If 2/3rd of the contents of a container evaporated on the 1st day. And 1/4th of the remaining evaporated on the second day. What part of the contents of the container is left at the end of the second day?
Choices:
1/12
1/18
1/6
1/2
Answer: C
Question: A sum fetched a total simple interest of 4052.25 at the rate of 9 %.p.a. in 5 years. What is the sum?
Choices:
9005
2345
6474
8723
Answer: A
Question: Every day a certain bank calculates its average daily deposit for that calendar month up to and including that day. If on a randomly chosen day in June the sum of all deposits up to and including that day is a prime integer greater than 100, what is the probability that the average daily deposit up to and including that day contains fewer than 5 decimal places?
(A)
(B)
(C)
(D)
(E)
Choices:
2/15
4/15
3/10
11/30
Answer: C
Question: (3 x 10^4) + (2 x 10^3) + (4 x 10^2) =
Choices:
32400
30240
3240
324
Answer: A
Question: The ratio of the cost price and the selling price is 4:5. The profit percent is:
Choices:
31%
25%
30%
29%
Answer: B
Question: The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 6 years ago was 20 years. The present age of the husband is:
Choices:
30 years
60 years
38 years
35 years
Answer: C
Question: A and B together finish a wor in 20 days.They worked together for 15 days and then B left. Afer another 10 days,A finished the remaining work. In how many days A alone can finish the job?
Choices:
40
50
60
70
Answer: A
Question: If n 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 n is odd, then k is even.
Answer: D
Question: In a camp,there is a meal for 140 men or 200 children.If 150 children have taken the meal,how many men will be catered to with the remaining meal ?
Choices:
35
40
50
60
Answer: A
Question: The average of 65 numbers is 40. If two numbers, 40 and 60 are discarded, then the average of the remaining numbers is nearly
Choices:
39
38.78
39.68
30
Answer: C
Question: If you roll one fair six-sided die, what is the probability that the number is odd or greater than 3?
Choices:
2/3
3/4
4/5
5/6
Answer: D
Question: If a man buys 10 lollipops for $80 and sold them for $5 dollars determine his loss.
Choices:
60
70
80
30
Answer: D
Question: Tough and Tricky questions: Statistics.
Set X consists of prime numbers {3, 11, 7, K, 17, 19}. If integer W represents the product of all elements in set X and if 11W is an even number, what is the range of set X?
Choices:
16
17
20
26
Answer: B
Question: If D is the least common multiple of 90,196, and 300, which of the following is NOT a factor of D?
Choices:
600
900
2,100
4,900
Answer: A
Question: A train 330 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Choices:
18 sec
4 sec
16 sec
12 sec
Answer: A
Question: The cost of 20 kgs. of sugar is Rs.400. What is the cost of 12.5 kgs. of sugar?
Choices:
Rs.150
Rs.250
Rs.125
Rs.225
Answer: B
Question: If a(a - 4) = 5 and b(b -4) = 5, where a ≠ b, then a + b =
Choices:
−4
4
9
48
Answer: B
Question: A disease has infected an ant colony that consists ofworkersandsoldiers: 30% of the soldiers and 14% of theworkerswere infected. If that colony is inhabited by 7000 ants, out of which 1660 are infected, how manyworkersinhabit the colony?
Choices:
2500
2750
3000
3250
Answer: B
Question: What is the unit digit in 7^105
Choices:
7
2
3
5
Answer: A
Question: How many factors does 34^2 have?
Choices:
8
20
25
26
Answer: B
Question: In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
Choices:
124
145
116
209
Answer: D
Question: The factorial expression 10!/2! is not divisible by which of the following integers?
Choices:
5
6
7
None of these
Answer: D
Question: If f(f(n)) + f(n) = 2n+3, f(0) = 1 then f(2013) = ?
Choices:
2014
270
1881
1781
Answer: A
Question: An equity analyst needs to select 4 stocks for the upcoming year and rank these securities in terms of their investment potential. If the analyst has narrowed down the list of potential stocks to 5, in how many ways can she choose and rank her top 4 picks?
Choices:
350
110
120
840
Answer: C
Question: The first half of a 600-mile trip was travelled in x hours and the second half in y hours. Which of the following is equal	to the average speed, in miles per hour, for the entire trip?
Choices:
600/(x + y)
150/x + 150/y
300/x + 300/y
600/x + 600/y
Answer: A
Question: Chris age after 20 years will be 5 times his age 5 years back. what is the present age of Chris?
Choices:
B)25
C)15
D)22
E)5
Answer: D
Question: A sum of money becomes triple itself in 5 years at simple interest. How many years will it become seven times at the same rate?
Choices:
62 Â½ years
18 Â½ years
72 Â½ years
14 Â½ years
Answer: D
Question: A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 12 minutes. How long will it take to go 5 km in stationary water?
Choices:
1 hour
1 hour 25 min
1 hour 30 min
1 hour 10 min
Answer: B
Question: Three students appear at an examination of Mathematics. The probability of their success are 1/3, 1/4, 1/5 respectively. Find the probability of success of at least two.
Choices:
1/6
3/4
3/5
4/5
Answer: A
Question: In how many ways can a group of 7 men and 5 women be made out of a total of 10 men and 7 women?
Choices:
2520
2689
2540
2680
Answer: A
Question: A certain barrel, which is a right circular cylinder, is filled to capacity with 40 gallons of oil. The first barrel is poured into a second barrel, also a right circular cylinder, which is empty. The second barrel is twice as tall as the first barrel and has twice the diameter of the first barrel. If all of the oil in the first barrel is poured into the second barrel, how much empty capacity, in gallons, is left in the second barrel?
Choices:
100 gallons
280 gallons
700 gallons
800 gallons
Answer: B
Question: A can give B 100 meters start and C 300 meters start in a kilometer race. How much start can B give C in a kilometer race?
Choices:
111.22 meters
222.22 meters
333.22 meters
None of these
Answer: B
Question: A man can reach certain place in 50hours. If he reduces his speed by 1/10th, he goes 500km less in time. Find his speed?
Choices:
130km/hr
140km/hr
150km/hr
100km/hr
Answer: D
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 25 hours respectively. The ratio of their speeds is?
Choices:
5:3
4:4
4:8
4:1
Answer: A
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good?
Choices:
20/63
20/62
20/61
20/67
Answer: A
Question: The cost of the paint is rs.40.00 per kg. if 1kg of paint covers 20sq.ft, how much will it cost to paint outside of a cube having 10 feet each side
Choices:
Rs.1200
Rs.546
Rs.876
None of these
Answer: A
Question: When tossed, a certain six-sided die has an equal probability of landing on any of the six sides. If the die is tossed 3 times, what is the probability that it will land on the same side each time?
Choices:
1/12
1/36
1/72
1/216
Answer: B
Question: In a certain sequence of 10 numbers, each number after the first is 1 more than the previous number. If the first number is −5, how many of the numbers in the sequence are positive?
Choices:
One
Two
Three
Four
Answer: D
Question: A cube of edge 16cm is immersed completely in a rectangular vessel containing water. If the dimensions of the base of vessel are 20cm * 15cm , find the rise in water level?
Choices:
8.25cm
13.65cm
15.12cm
20.62cm
Answer: B
Question: Walking at 8KMPH From Point Q to Point railway station, mike will miss the train by 5 minutes. If he walks at 10KMPH he will reach the station by 5 minutes early.What is the distance between Point Q to Railway station?
Choices:
B)6.66KM
C)7.25KM
D)12.40KM
E)13KM
Answer: A
Question: 1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 -5/6=
Choices:
2/15
2/5
9/20
5/6
Answer: D
Question: Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
Choices:
1/2
8/15
9/20
9/24
Answer: C
Question: A box contains nine bulbs out of which 3 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.
Choices:
125/186
83/84
125/186
125/128
Answer: B
Question: If you roll a fair-sided die twice, what is the probability of getting a (3,3 ) double?
Choices:
1/4!
1/3!
1/5!
1/6!
Answer: B
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions
Choices:
704
704
706
707
Answer: A
Question: How many times are the hands of a clock at right angle in a day?
Choices:
11
33
55
44
Answer: D
Question: Howmany three digits odd numbers can be formed using the digits 4,5,6,7,8,9 (repetition of digits not allowed)
Choices:
60
65
55
45
Answer: A
Question: If the quantity 6^2+ 6^4 + 6^6 is written as (a + b)(a – b), in which both a and b are integers, which of the following could be the value of b?
Choices:
15
36
22
25
Answer: B
Question: What does RBI regulate through Open Market Operation Transactions?
Choices:
What does RBI regulate through Open Market Operation Transactions?
Borrowing powers of the banks
Liquidity in economy
. Inflation
Answer: C
Question: A company has 12 equally qualified applicants for 4 open positions. How many different groups of 4 applicants can be chosen by the company to fill the positions if the order of selection does not matter?
Choices:
480
485
490
495
Answer: D
Question: A candidate got 25% of the votes polled and he lost to his rival by 4000 votes. How many votes were cast?
Choices:
2028
2775
5496
8000
Answer: D
Question: Which of the following correctly lists the data sets in order of least to greatest standard deviation?
I. 12, 13, 15, 12, 14, 14
II. 32, 32, 32, 32, 32, 32
III. 37, 48, 59, 40, 41, 42
Choices:
I, III, II
II, I, III
II, III, I
III, II, I
Answer: B
Question: A train 210 metres long is moving at a speed of 25 kmph. It will cross a man coming from the opposite direction at a speed of 2 km per hour in :
Choices:
28 sec
36 sec
38 sec
40 sec
Answer: A
Question: A jogger running at 9 km/hr along side a railway track is 150 m ahead of the engine of a 100 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Choices:
27
36
80
25
Answer: D
Question: Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
Choices:
14 : 5
16 : 7
19 : 5
24:8
Answer: C
Question: A pipe can fill a cistern in 7 minutes whereas the cistern when fill can be emptied by a leak in 14 minutes. When both pipes are opened, find when the cistern will be full?
Choices:
16
70
14
12
Answer: C
Question: Due to an increase in 30% in the price of eggs, 3 eggs less are available for Rs. 7.80. Find the present rate of eggs per dozen.
Choices:
Rs. 9.36
Rs. 11.36
Rs. 12.36
Rs. 14.36
Answer: A
Question: If the average (arithmetic mean) of three consecutive integers is 21, then the product of the greatest and least integer is
Choices:
442
440
444
441
Answer: B
Question: In expressing a length 81.469 km as nearly as possible with three significant digits, find the percentage error?
Choices:
0.156%
0.034%
0.038%
0.152%
Answer: C
Question: In how many ways can the letters of the word BUTTER be arranged in a row so that the vowels appear in alphabetic order?
Choices:
420
360
400
320
Answer: B
Question: If there are 4 seats and two students, in how many ways can they be seated?
Choices:
12
8
16
10
Answer: A
Question: The greatest number that divides 3560 and 3450 leaving remainder 4 and 6 respectively is:
Choices:
25
26
28
30
Answer: C
Question: If '+' denotes ÷ , '–' denotes ×, ‘×’ denotes – and ‘÷’ denotes +, then
35 + 7 – 5 ¸5 × 6 = ?
Choices:
26
24
28
29
Answer: B
Question: A train 410 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Choices:
50 sec
44 sec
49 sec
60 sec
Answer: B
Question: The average age of 9 men increases by 4 years when two women are included in place of two men of ages 36 and 32 years. Find the average age of the women?
Choices:
26
52
54
56
Answer: B
Question: Excluding stoppages, the speed of a bus is 52 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
Choices:
6 min
9 min
8 min
11 min
Answer: C
Question: A garrison of 1850 men has provisions for 28 days. At the end of 12 days, a reinforcement arrives, and it is now found that the provisions will last only for 10 days more. What is the reinforcement?
Choices:
2960
3000
1110
1712
Answer: C
Question: The Hat Company makes hats of different colors, some plain and some with printing. For a particular order of hats, 2 out of every 3 hats are blue. If 1 out of every 3 blue hats has printing, and there are 200 blue hats with printing in the shipment, how many hats total are there in the shipment?
Choices:
900
1,000
5,000
520
Answer: A
Question: Arya starts cycling along the boundaries of the squares. She starts from a point A and after 90 minutes she reached to point C diagonally opposite to A. If she is travelling with 30km/hr, then find the area of square field.
Choices:
225
325
425
None of these
Answer: D
Question: A cistern 6m long and 5 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:
Choices:
50 m2
53.5 m2
55 m2
57.5 m2
Answer: D
Question: A rectangular cube has a volume of 7 cubic feet. If a similar cube is twice as long, twice as wide, and twice as high, then the volume, in cubic feet of such cube is?
Choices
Choices:
48
56
80
100
Answer: B
Question: If d=1/(2^3*5^9) is expressed as a terminating decimal, how many nonzero digits will d have?
Choices:
Two
Three
Seven
Ten
Answer: A
Question: If the side of a square is increased by 55%, its area is increased by?
Choices:
140%
150%
160%
none of these
Answer: A
Question: The average of 5 consecutive integers starting with m as the first integer is n. What is the average of 15 consecutive integers that start with (m + 2)?
Choices:
n + 6
n + 7
m + 5
n + 4
Answer: B
Question: A woman invested $1,000, part at 5% and the rest at 6%. Her total investment with interest at the end of the year was $1,055. How much did she invest at 5%?
Choices:
$500
$700
$900
$950
Answer: A
Question: What is the perimeter of a square field whose diagonal is 8âˆš2?
Choices:
32 m
30 m
16 m
18 m
Answer: A
Question: The product of the squares of two positive integers is 1600. How many pairs of positive integers satisfy this condition?
Choices:
1
2
3
4
Answer: D
Question: The sum of first five prime numbers is:
Choices:
28
24
22
43
Answer: A
Question: Find the fourth proportional to 5.1, 3.6 and 2.3?
Choices:
1.22
3.12
2.62
1.62
Answer: D
Question: In a workshop there are 4 kinds of beds, 3 kinds of closets, 3 kinds of shelves and 7 kinds of chairs. In how many ways can a person decorate his room if he wants to buy in the workshop one shelf, one bed and one of the following: a chair or a closet?
Choices:
B)80.
C)56.
D)48.
E)120.
Answer: D
Question: ((1^7m)/(5^7m))((1^18)/(4^18)) = 1/(2(10)^35)
What is m?
Choices:
5
34
35
36
Answer: A
Question: If b < 2 and 4x - 8b = 0, which of the following must be true?
Choices:
x < 5
x = 4
x < 4
D. x > 3
Answer: C
Question: David is a trail runner who decides to take a day off work to run up and down a local mountain. He runs uphill at an average speed of 3 miles per hour and returns along the same route at an average speed of 8 miles per hour. Of the following, which is the closest to his average speed, in miles per hour, for the trip up and down the mountain?
Choices:
4.3
6.0
6.3
6.5
Answer: A
Question: A boat goes 100 km downstream in 10 hours, and 90 km upstream in 15 hours. The speed of the stream is?
Choices:
4km/h
2km/h
(1/2) km/h
E)None
Answer: B
Question: Rovert traveled a distance of 30 km, covering the first 10 km in x minutes, the next 10 km in y minutes and the last 10 km in z minutes. If he totally took 3y minutes to cover the whole distance, then which of the following cannot be true? Assume x , y and z are different.
Choices:
x=3z
y=2x
x=2y
y=3x
Answer: C
Question: (1/2) of a number is 3 more than the (1/6) of the same number?
Choices:
7
8
9
5
Answer: C
Question: One side of a rectangle is 3 cm shorter than the other side. If we increase the length of each side by 1 cm, then the area of the rectangle will increase by 20 cm2. Find the lengths of all sides.
Choices:
7 and 10
11 and 8
3 and 10
10 and 10
Answer: B
Question: What will be the remainder when 17^200 is divided by 18 ?
Choices:
8
5
1
7
Answer: C
Question: Water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2:16. Approximately how many grams of oxygen are there in 108 grams of water?
Choices:
96
112
128
142
Answer: A
Question: In a staircase, there ar 10 steps. A child is attempting to climb the staircase. Each time she can either make 1 step or 2 steps. In how many different ways can she climb the staricase?
Choices:
277
18
178
181
Answer: A
Question: If 1.5 cm of a pencil is purple, 0.5 cm of the remaining is black and the remaining 2 cm is blue, what is the total length of the pencil?
Choices:
3 cm
1 cm
4 cm
2 cm
Answer: C
Question: Pipe A can fill a tank in 16 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes?
Choices:
25
27
23
21
Answer: D
Question: A certain sum becomes four times itself at simple interest in eight years. In how many years does it become ten times itself?
Choices:
24
77
99
01
Answer: A
Question: The sume of the ages of 5 children born at the intervals of 3 years each is 50 years.What is the age of the youngest child ?
Choices:
4 years
10 years
None of these
11 years
Answer: A
Question: A small, rectangular park has a perimeter of 560 feet and a diagonal measurement of 400 feet. What is its area, in square feet?
Choices:
76,800
20,000
20,400
20,800
Answer: A
Question: A man cycles at a rate of 4 kmph. He cycles for 45 minutes and then takes a 15 minute break. Determine the total time taken to cover 12 kms by him.
Choices:
4 hours
3 hours
3 hours 45 minutes
4 hours 45 minutes
Answer: C
Question: An article is sold at certain price. By selling it at 2/3 of its price one losses 10%, find the gain at original price?
Choices:
35
10
20
30
Answer: A
Question: Eight machines, each working at the same constant rate, together can complete a certain job in 20 days. How many additional machines, each working at the same constant rate, will be needed to complete the job in 16 days?
Choices:
6
8
10
2
Answer: D
Question: A local bank that has 11 branches uses a two-digit code to represent each of its branches. The same integer can be used for both digits of a code, and a pair of two-digit numbers that are the reverse of each other (such as 17 and 71) are considered as two separate codes. What is the fewest number of different integers required for the 11 codes?
Choices:
11 ( 2 integers 4 codes)
5
6
7
Answer: A
Question: The price of a coat in a certain store is $500. If the price of the coat is to be reduced by $400, by what percent is the price to be reduced?
Choices:
15%
20%
25%
80%
Answer: D
Question: On the first of the year, James invested x dollars at Proudstar bank in an account that yields 4% in interest every quarter year. At the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. If James had invested the same amount in an account which pays interest on a yearly basis, what must the interest rate be for James to have y dollars at the end of the year?
Choices:
26.12%
28%
16.25%
30%
Answer: C
Question: If the selling price of 50 articles is equal to the cost price of 40 articles, then the loss or gain percent is?
Choices:
20%
90%
22%
24%
Answer: A
Question: The marks obtained by Vijay and Amith are in the ratio 8:5 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:
12:5
6:5
12:2
6:3
Answer: A
Question: Solution P is 20 percent lemonade and 80 percent carbonated water by volume; solution Q is 45 percent lemonade and 55 percent carbonated water by volume. If a mixture of PQ contains 60 percent carbonated water, what percent of the volume of the mixture is P?
Choices:
20%
40%
50%
60%
Answer: A
Question: A cistern has three pipes, A, B and C. The pipes A and B can fill it in 4 and 5 hours respectively and C can empty it in 2 hours. If the pipes are opened in order at 1, 2 and 3 A.M. When will the cistern be empty?
Choices:
1 PM
7 PM
5 PM
8 PM
Answer: C
Question: The average age of twenty four boys in a class and the teacher is 15. If the teacher age is excluded, the average reduces to 14. What is the techer's age?
Choices:
36
32
39
38
Answer: C
Question: Three candidates contested in an election and received 4136, 7636, 11628 votes respectively. What is the percentage of the total votes did the winning candidate get?
Choices:
49%
50%
51%
62%
Answer: B
Question: A student has 7 trousers and 11 shirts. In how many different ways can the student select a trouser and a shirt?
Choices:
77
86
95
104
Answer: A
Question: If it is a 3x3 matrix, for which elements in first row are (V, 50, W), second row (196,X, Y)and in third row are (269, Z, 123).It is given that the sum of the numbers in each row, column, diagonal are same. Then find the value of (Y + Z).
Choices:
1011
1212
1122
1021
Answer: C
Question: Ross has 320 shirts, 3/4 of the shirts are green and 1/10 is without buttons. Therefore Ross has between ___ and ___ shirts with buttons that are not green.
Choices:
48 ; 80.
50 ; 80.
51 ; 80.
52 ; 80.
Answer: A
Question: If 1^3 + 2^3 + 3^3 +......+ 10^3 = 516 then the value of 2^3 + 4^3 + 6^3 + ..... + 20^3 is
Choices:
1032
1048
1050
1052
Answer: A
Question: If ‘+’ means ‘×’, ‘-‘ means ‘+’, ‘×’ means ‘÷’ and ‘÷’ means ‘-‘ then find the value of;
6 – 9 + 8 × 3 ÷ 20 =
Choices:
10
12
-2
8
Answer: A
Question: Two pillars are standing side-by-side. One pillar, which is 6 feets tall, casts a shadow that is 12 feets long. The other pillar is 4 feets tall. Compute, in feets, the length of the shadow that
the shorter pillar casts.
Choices:
8
12
16
20
Answer: A
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:
43
35
45
50
Answer: A
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is?
Choices:
3/4
3/5
3/9
3/1
Answer: A
Question: A family made a down payment of $20 and borrowed the balance on a set of encyclopedias that cost $500. The balance with interest was paid in 24 monthly payments of $25 each. The amount of interest paid was what percent of the amount borrowed?
Choices:
25%
24%
26%
20%
Answer: A
Question: 20 throws of a die produces following results
SCORE -- NUMBER OF OCCURRENCES
---1-------------------4
---2-------------------3
---3-------------------5
---4-------------------2
---5-------------------2
---6-------------------4
What is the probability K that one more throw to this series will increase the mean score?
Choices:
1/3
1/2
2/3
5/6
Answer: B
Question: Define e* by the equation e* = π-e. Then ((−π)*)* =
Choices:
-1
−π
2π
4π
Answer: B
Question: A group of 13 people plan to rent a van and agree to share equally the total cost of the rental, which is E dollars. If n of the people decide not to participate at the last minute, by how many dollars will each remaining person's share of the total cost increase?
Choices:
(12 - n)/E
E/[12(12-n)]
(12-n)E/(12n)
nE / [13(13-n)]
Answer: D
Question: Which of the following fractions can be written as the difference of reciprocals of two consecutive integers
Choices:
7/30
1/42
13/56
1/73
Answer: B
Question: A gardener grows cabbages in her garden that is in the shape of a square. Each cabbage takes 1 square feet of area in her garden. This year, she has increased her output by 197 cabbages as compared to last year. The shape of the area used for growing the cabbages has remained a square in both these years. How many cabbages did she produce this year?
Choices:
9801
14,400
12,696
can not be determined
Answer: A
Question: A man has Rs. 440 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choices:
82.5
75
90
105
Answer: A
Question: Seven people went to a restaurant for dinner. Six of them spent $9 each on their meals and the seventh person spent $12 more than the average expenditure of all seven people. What was the total amount of money that the seven people spent?
Choices:
$73
$75
$77
$79
Answer: C
Question: A printer numbers the pages of a book starting with 1 and uses 3189 digits in all. How many pages does the book have ?
Choices:
1074
1075
1080
1090
Answer: A
Question: If x = 1- 5t and y = 2t - 1, then for what value of t does x = y?
Choices:
3/2
2/3
2/7
0
Answer: C
Question: In the biology lab of "Jefferson" High School there are 4.32*10^6 germs, equally divided among 10,800 Petri dishes. How many germs live happily in a single dish?
Choices:
200
400
1000
5000
Answer: B
Question: A train 300 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Choices:
268 m
500 m
267 m
1000 m
Answer: D
Question: A shop produces sarongs. The daily average production is given by 5n + 20, where n is the number of workers aside from the owner. In the first k days, 500 units are produced, and then 5 workers are added to the team. After another k days, the cumulative total is 1100. How many workers were part of the latter production run?
Choices:
26
C)11
D)15
E)23.5
Answer: A
Question: A piece of ribbon 4 yards long is used to make bows requiring 15 inches of ribbon for each. What is the maximum number of bows that can be made?
Choices:
9
10
11
12
Answer: A
Question: If BURNER is coded as CASOIS then how will ALIMENT be coded?
Choices:
EKOLIMS
EMONIOU
BRJSFTU
EROSITU
Answer: A
Question: The total of a company's assets in 1994 was 50% greater than the total in 1993, which in turn was 400% greater than the total in 1992. If the total of the company's assets in 1992 was N dollars, what were the company's assets in 1994?
Choices:
7.5N
9.5N
11.5N
13.5N
Answer: A
Question: If the set S is composed of the following numbers {99, 100, 100, 105, 106, 112, 127}, which of the following is largest?
Choices:
The average (arithmetic mean) of set S
The mode of set S
The range of set S
The standard deviation of set S
Answer: A
Question: What is the dividend. divisor 13, the quotient is 17 and the remainder is 1
Choices:
222
226
228
230
Answer: A
Question: if the price of a book is first decreased by 15% and then increased by 10%, then the net change in the price will be :
Choices:
388
6.5
29
22
Answer: B
Question: A truck covers a distance of 360 km at a certain speed in 8 hours. How much time would a car take at an average speed which is 18 kmph more than that of the speed of the truck to cover a distance which is 14 km more than that travelled by the truck ?
Choices:
5 hours
7 hours
8 hours
None
Answer: C
Question: A car crosses a 600m long bridge in 5 mins. What is the speed of car in km per hr?
Choices:
7.2 km/hr
7.5 km/hr
8 km/hr
8.5 km/hr
Answer: A
Question: A can contains a mixture of liquids A and B is the ratio 7:5. When 12 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many liter of liquid A was contained by the can initially?
Choices:
27
29
28
31
Answer: C
Question: 10% of the inhabitants of village having died of cholera.,a panic set in , during which 25% of the remaining inhabitants left the village. The population is then reduced to 4050. Find the number of original inhabitants.
Choices:
6500
6000
6500
7000
Answer: B
Question: John found that the average of 15 numbers is 40. If 12 is added to each number then the mean of number is?
Choices:
52
65
78
64
Answer: A
Question: Two numbers are respectively 20% and 60% more than a third number. The percentage that is first of the second is?
Choices:
68%
51%
75%
83%
Answer: C
Question: If a train runs at 40 kmph ,it reach its destination late by 11 minutes but if it runs at 50kmph it is late by 5 minutes only . the correct time for a train to complete its journey is?
let the correct time to complete the journey be x min
distance covered in(x+11)min. at 40 kmph
distance covered in(x+5)min. at 50 kmph
(x+11)/60*40=(x+5)/60*50
x=19min
Choices:
19 min
52min
126min
52min
Answer: A
Question: The traffic lights at 3 different roads change after every 14 sec, 72 sec, 108 sec respectively. If they all change simultaneously at 9:15 AM then at what time will they again change simultaneously.
Choices:
9:42:15
10:15:24
9:40:12
10:01:20
Answer: C
Question: How many positive 5-digit integers have the odd sum Q of their digits?
Choices:
9*10^3
10^4
45*10^3
9*10^4
Answer: C
Question: How many inches are in 2000 millimeters? (round your answer to the nearest hundredth of of an inch).
Choices:
58.74 inches
78.74 inches
28.74 inches
88.74 inches
Answer: B
Question: What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 4?
Choices:
123,750
164,749
149,700
156,720
Answer: A
Question: A bag contains 3 white balls, 3 black balls & 2 red balls. One by one three balls are drawn out without replacement. What is the probability that the third ball is red?
Choices:
0.25
0.35
0.45
0.4
Answer: A
Question: If x is an integer such that 0 < x < 12, 1 < x < 15, 10 > x > 5, 11 > x > 8, and x + 2 < 12, then x is
Choices:
5
7
9
11
Answer: C
Question: At an elementary school, 60% of the faculty members are women and 60% of the faculty members are married. If 3/4 of the men are single, what fraction of the men are married?
Choices:
2/5
4/5
2/3
1/4
Answer: D
Question: If the Average of 10 consecutive integers is 24.5 then the 10th integer is :-
Choices:
20
23
29
25
Answer: C
Question: In a certain company, the ratio of the number of managers to the number of non-managers in any department must always be greater than 7 : 37. In the company, what is the maximum number of non-managers in a department that has 9 managers?
Choices:
45
46
47
48
Answer: C
Question: A certain list of 300 test scores has an arithmetic mean of 74 and a standard deviation of d, where d is positive. Which of the following two test scores, when added to the list, must result in a list of 302 test scores with a standard deviation less than d?
Choices:
80 and 85
74 and 74
75 and 75
70 and 80
Answer: B
Question: A cube has a volume of 125 cubic feet. If a similar cube is twice as long, twice as wide, and twice as high, then the volume, in cubic feet of such cube is?
Choices:
48
64
80
1000
Answer: D
Question: If m is a positive integer greater than 1, what is the sum of the multiples of m from m to m^2, inclusive?
Choices:
m^2(m + 1)/2
m^2(m-1)
(x^3 + 2x)/2
x(x-1)^2
Answer: A
Question: A can do a piece of work in 15 days. A does the work for 5 days only and leaves the job. B does the remaining work in 6 days.In how many days B alone can do the work?
Choices:
7 days
12 days
9 days
10 days
Answer: C
Question: If f(b)=b^2 and b is a positive integer, which of the following CANNOT be the value of f(f(b))?
Choices:
81
200
256
625
Answer: B
Question: I walk a certain distance and ride back taking a total time of 37 minutes. I could walk both ways in 55 minutes. How long would it take me to ride both ways?
Choices:
10 mins
19 mins
15 mins
20 mins
Answer: B
Question: An investor receives a total combined return of 10% on his two different investments. On his $10,000 investment he receives a return of 6%. What is the return on his $20,000 investment?
Choices:
12%
8%
8.5%
9%
Answer: A
Question: Drum X is 1/2 full of oil and drum Y, which has twice the capacity of drum X, is 1/2 full of oil. If all of the oil in drum X is poured into drum Y, then drum Y will be filled to what capacity?
Choices:
3/4
4/5
5/6
7/8
Answer: A
Question: Thomas's age and Matt's age are in the ratio 2:3. Two years ago the ratio of their ages was 1:2. Find the ratio of their ages four years hence?
Choices:
2:3
3:4
4:5
5:6
Answer: C
Question: The function f is defined for all positive integers u by the following rule. f(u) is the number of positive integers each of which is less than u and has no positive factor in common with u other than 1. If s is any prime, number then f(s)=
Choices:
s-2
(s+1)/2
(s-1)/2
S-1
Answer: D
Question: The charge for a single room at Hotel P is 30 percent less than the charge for a single room at Hotel R and 10 percent less than the charge for a single room at Hotel G. The charge for a single room at Hotel R is what percent greater than the charge for a single room at Hotel G ?
Choices:
28%
40%
50%
150%
Answer: A
Question: Two stations P and Q are 290 km apart on a straight track. One train starts from P at 7 a.m. and travels towards Q at 20 kmph. Another train starts from Q at 8 a.m. and travels towards P at a speed of 25 kmph. At what time will they meet?
Choices:
12 am
10.30 am
12.30 pm
2 pm
Answer: D
Question: In an exam, A scored 75 percent, B scored 25 percent and C scored 32 percent. The maximum score awarded in the exam is 500. Find the average mark scored by all the three candidates?
Choices:
200
210
220
230
Answer: C
Question: It is well known that a triangle’s area is √(p(p-a)(p-b)(p-c)),
when p=(a+b+c)/2, such that a, b, c are the lengths of sides of the triangle. If the triangle has 300, 300, and 300 as the side’s lengths, what is the triangle’s area?
Choices:
36,200
38,200
42,200
38,971
Answer: D
Question: In a kilometer race, A beats B by 40 meters or 10 seconds. What time does A take to complete the race?
Choices:
190 sec
199 sec
192 sec
240 sec
Answer: D
Question: A candidate appearing for an examination has to secure 52% marks to pass paper I. But he secured only 45 marks and failed by 35 marks. What is the maximum mark for paper I?
Choices:
154
130
140
150
Answer: A
Question: A certain kind of necklace is made from 9 green, 6 white, and 3 orange beads. What is the maximum number of these necklaces that can be made from 45 beads of each color ?
Choices:
8
5
6
2
Answer: B
Question: A factory that employs 1000 assembly line workers pays each of these workers $5 per hour for the first 40 hours worked during a week and 1½ times that rate for hours worked in excess of 40. What was the total payroll for the assembly-line workers for a week in which 30 percent of them worked 10 hours, 50 percent worked 40 hours, and the rest worked 50 hours?
Choices:
$185,000
$170,000
$200,000
$205,000
Answer: B
Question: COMPLETE THE SERIES..
1, 3, 7, 11, 13,... ?
Choices:
17
18
19
20
Answer: C
Question: Pipes A and B can fill a tank in 2 and 3 hours. Pipe C can empty it in 15 hours. If all pipes are opened together, then the tank will be filled in?
Choices:
13/12 hr
42/11 hr
6 hr
30/23 hr
Answer: D
Question: The average of ten numbers is 7 .If each number is multiplied by 12 , then the average of new set of numbers is
Choices:
236
288
84
26
Answer: C
Question: The closest approximation of (69.28 × 0.004)/0.03 is
Choices:
0.92
9.2
92
920
Answer: B
Question: A sum of Rs. 2665 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?
Choices:
1640
2768
2976
2691
Answer: A
Question: Two trains starting at the same time from two stations 200 km apart and going in opposite directions cross each other at a distance of 110 km from one of the stations. What is the ratio of their speeds?
Choices:
11 : 9
71 : 9
91 : 9
21 : 2
Answer: A
Question: If 0 < x ≤ 3, then which one of the following is the maximum value of (x – 1)^2 + x ?
Choices:
–1
7
1
2
Answer: B
Question: If 42/330 = 0.1272, what is the 32nd digit to the right of the decimal point of the fraction?
Choices:
4
5
7
2
Answer: D
Question: In Township K, 1/5 of the housing units are equiped with cable Tv. If 1/10 of the housing units, including 1/6 of those that are equiped with cable tv, are equipped with videocassette recorders, what fraction of the housing units have neither cable tv nor videocassette recorders?
Choices:
11/15
7/10
1/6
2/15
Answer: A
Question: A sock drawer contains seven socks, each one a different solid color. The colors of the socks are orange, yellow, green, blue, indigo, and violet. A person reaches into the drawer, pulls out two socks, and puts a single sock on each foot. If each sock can fit either the left or the right foot, and if it matters whether a particular sock is on the left or the right foot, how many different sock fashion combinations could the person make from the six socks?
Choices:
15
21
36
30
Answer: D
Question: In how many ways can a Chief Minister and a Vice Minister be elected from a team of 14 members?
Choices:
144
158
170
182
Answer: D
Question: A room has both an entrance and an exit door. The room can fill up with people in 5 hours. The room can be empty of people in 15 hours. If it is desired that the room should be filled, from empty, exactly 6 hours after people begin entering the room at 9:30am, then at what time should people begin exiting the room?
Choices:
10:45am
12:00pm
12:30pm
1:30pm
Answer: C
Question: The dimensions of each book in an encyclopedia set measures 8 in x 4 in x 12 in. (l x w x h). Each shelf (i.e. each divider) has a surface area of 848 sq in., where the thickness is 1 in and the width is 16 in. Assuming there is enough space in between shelves, how many shelves are needed to fit all of the books?
Choices:
12
13
5
26
Answer: C
Question: From a Group of 8 People, Including Timo and Gary, 3 people are to be selected at random to work on a certain project. What is the probability that 3 people selected will include Timo but not Gary
Choices:
9/56
15/56
21/56
25/56
Answer: B
Question: The price of a car and AC are in the ratio 3:2. If the scooter costs $500 more than the AC. then the price of the AC?
Choices:
1500
1700
2000
2500
Answer: A