antoine-444/aqua_rat_dataset huggingface dataset:
Question: If 20 percent of the members of a certain organization are women and 2/8 of the members of the organization are married men, which of the following statements concerning the membership must be true? I. The number of women in the organization is greater than the number of married men in the organization. II. The number of women in the organization is greater than the number of unmarried men in the organization. III. The number of unmarried men in the organization is greater than the number of married men in the organization.
Choices:
III
I
I,II
II,III
Answer: A
Question: A and B are two stations 125km apart. A train starts from A at 6a.m. and travels towards B at 50kmph. Another train starts from B at 7a.m. and travels towards A at 25kmph. At what time do they meet?
Choices:
8a.m.
9a.m.
9.30a.m.
10a.m.
Answer: A
Question: In the x-y plane, point (x, y) is a lattice point if both x and y are integers. A rectangle has a center at (1, 2) and width (x), length (y), 6", 4", respectively. Some points, such as the center (1, 2), are inside the rectangle, but a point such as (4, 2) is on the rectangle, but not in the rectangle. How many lattice points are in the rectangle?
Choices:
71
72
17
27
Answer: C
Question: A password of a computer used three digits where they are from 0 and 9. What is the probability that the password solely consists of prime numbers and zero?
Choices:
1/16
1/8
2/5
1/2
Answer: B
Question: A boy can reach a certain place in 30 hours. If he reduces his speed by 1/30th, he goes 3 km less in that time. Find his speed.
Choices:
3 km/hr.
8 km/hr
14 km/hr
None of these
Answer: A
Question: A money lender lent a total of $1400 to two of his customers. He charged at the rate of 5%p.a. to one of them and 6% p.a. to the other. If he earned an average of 5.67% on $1400, how much did he lend to each of the two customers?
Choices:
938; 462
1000; 800
1200; 800
None of the above
Answer: A
Question: A man can row with a speed of 20 kmph in still water. If the stream flows at 11 kmph, then the speed in downstream is?
Choices:
26
31
87
24
Answer: B
Question: A three digit number consists of 9,5 and one more number . When these digits are reversed and then subtracted from the original number the answer yielded will be consisting of the same digits arranged yet in a different order. What is the other digit
Choices:
4
5
6
7
Answer: A
Question: Arun borrowed a certain sum from Manish at a certain rate of simple interest for 2 years. He lent this sum to Sunil at the same rate of interest compounded annually for the same period. At the end of two years, he received Rs. 2400 as compound interest but paid Rs. 2000 only as simple interest. Find the rate of interest.
Choices:
40%
20%
10%
15%
Answer: A
Question: The 100-milliliter solution of sugar and water is 21% sugar. How much water (in milliliters) must be added to make a solution that is 12% sugar?
Choices:
60
65
70
75
Answer: D
Question: In a coconut grove, (x + 2) trees yield 60 nuts per year, x trees yield 120 nuts per year and (x – 2) trees yield 180 nuts per year. If the average yield per year per tree be 100, find x.
Choices:
4
5
6
7
Answer: D
Question: Reena took a loan of 1200 with simple interest for as many years as the rate of interest. If she paid 432 as interest at the end of the loan period, what was the rate of interest?
Choices:
6
18
Cannot be determined
None
Answer: A
Question: Three candidates contested an election and received 1136, 7636 and 12628 votes respectively. What percentage of the total votes did the winning candidate got?
Choices:
56%
57%
58%
59%
Answer: D
Question: Tough and Tricky questions: Exponents.
If 3^(x+1)*5^(y-1) = 9^x*125^y, then 2x + y =
Choices:
-2/5
-5/2
2/5
5/2
Answer: B
Question: Mixture A is 20 percent alcohol, and mixture B is 50 percent alcohol. If the two are poured together to create a 15 gallon mixture that contains 30 percent alcohol, approximately how many gallons of mixture A are in the mixture?
Choices:
4 gallons
5 gallons
10 gallons
12 gallons
Answer: C
Question: A dishonest dealer professes to sell his goods at Cost Price but still gets 20% profit by using a false weight. What weight does he substitute for a kilogram?
Choices:
833 1/3 grams
833 1/9 grams
836 1/3 grams
843 1/3 grams
Answer: A
Question: Calculate 56581 ÷ ? = 137
Choices:
213
413
417
414
Answer: B
Question: If 60 honey bees make 60 grams of honey in 60 days, then 1 honey bee will make 1 gram of honey in how many days?
Choices:
3.5
20
49
60
Answer: D
Question: The average earning of a mechanic for the first-four days of a week is Rs. 16 and for the last four days is Rs. 24. If he earns Rs . 27 on the fourth day, his average earning for the whole week is ?
Choices:
Rs 16
Rs. 19
Rs. 25.71
None of these
Answer: B
Question: A can do a piece of work in 3 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?
Choices:
9
8
6
5
Answer: C
Question: Ten cards numbered 1 to 10 are placed in a box, mixed up thoroughly and then one card is drawn
randomly. If it is known that the number on the drawn card is more than 3, what is the probability
that it is an even number?
Choices:
4/7
1/3
1/7
2/7
Answer: A
Question: A pair of prime numbers that can be expressed in the form W{p, (p + 6)} is deﬁned as a pair of “sexy primes.” A “sexy triplet” is a group of three primes that can be expressed in the form {p, (p + 6), (p + 12)}. All of the following prime numbers are the middle term of a sexy triplet EXCEPT
Choices:
13
17
19
23
Answer: C
Question: If the radius of a circle is decreased 30%, what happens to the area?
Choices:
51% decrease
36% decrease
40% decrease
50% decrease
Answer: A
Question: Lucy is traveling from one end of a forest to the other. In order to find her way back, she is leaving morsels of bread in the following pattern: 2 morsels of wheat, 3 morsels of rye, and 1 morsel of white. The pattern repeats after she leaves the morsel of rye. If Lucy drops 2,000 morsels of bread, what are the last 3 morsels of bread that she drops?
Choices:
white − wheat − wheat
rye − white− wheat
rye − rye − rye
rye − rye − white
Answer: A
Question: The angles of a triangle have ratios 3:4:5 relative to each other. Determine which angle below corresponds to one of the angles of this triangle.
Choices:
60Â°
80Â°
100Â°
120Â°
Answer: A
Question: What is the sum of the greatest common factor and the lowest common multiple of 16 and 72?
Choices:
152
124
160
184
Answer: A
Question: Fred and Sam are standing 35 miles apart and they start walking in a straight line toward each other at the same time. If Fred walks at a constant speed of 2 miles per hour and Sam walks at a constant speed of 5 miles per hour, how many miles has Sam walked when they meet?
Choices:
9
25
30
45
Answer: B
Question: At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price?
Choices:
62.5
62.1
62.9
32.5
Answer: A
Question: In how many ways, a committee of 6 members can be selected from 7 men and 4 ladies, consisting of 4 men and 2 ladies?
Choices:
210
200
310
250
Answer: A
Question: A Table is bought for Rs.1600/- and sold at a loss of 20% find its selling price?
Choices:
s.1280/-
s.1580/-
s.1250/-
s.1300/-
Answer: A
Question: What sum of money put at C.I amounts in 2 years to Rs.8820 and in 3 years to Rs.9261?
Choices:
Rs.8000
Rs.7500
Rs.7800
None of these
Answer: A
Question: The ratio of two numbers is 2:3 and the sum of their cubes is 945. The difference of number is?
Choices:
3
5
6
8
Answer: A
Question: The diagonal of a rectangle is 41 cm and its area is 20 sq. cm. The perimeter of the rectangle must be:
Choices:
18 cm
30 cm
38 cm
42 cm
Answer: A
Question: At the starting of 2012, 60% of the population of Town Y lived in the north and the rest lived in the south. During the year 2012, the population of Town Y grew by 5.5%. If the population in the north grew by 4.5%, by how much did the population in the south grow?
Choices:
7%
1%
1.5%
3.8%
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
1/32
1/31
1/30
Answer: A
Question: A started a business with Rs.25000 and is joined afterwards by B with Rs.30,000. After how many months did B join, if profit per annum is divieded equally?
Choices:
2 months
5 months
7 months
9 months
Answer: A
Question: If k is a non-negative integer and 15^k is a divisor of 759,325 then 3^k - k^3 =
Choices:
1
37
118
513
Answer: A
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 10 hours and 8 hours respectively. The ratio of their speeds is
Choices:
4 : 3
4 : 12
4 : 8
4 : 5
Answer: D
Question: J and M were each paid x dollars in advance to do a certain job together. J worked on the job for 12 hours and M worked for 2 hours less than J. If M gave J y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that J was paid in advance?
Choices:
b)5y
c)6y
d)11y
e)10y
Answer: C
Question: A bowl contains pecans, cashews, and almonds in a ratio of 7 : 12 : 18, respectively. If some of the nuts of one of the three types are removed, which of the following could be the ratio of pecans to cashews to almonds remaining in the bowl? i. 1 : 2 : 3 ii. 2 : 3 : 4 iii. 4 : 7 : 10
Choices:
I only
I,II only
II only
II,III only
Answer: A
Question: Current ages of Rahim and Thomas are in the ratio of 5 : 4 correspondingly. 0.2 decades hence, the ratio of their ages will become 11 : 9 correspondingly, What is Thomasâ€™s current age in years?
Choices:
44 years
34 years
64 years
16 years
Answer: D
Question: Four milkmen rented a pasture. A grazed 24 cows for 3 months; B 10 for 5 months; C 35 cows for 4 months and D 21 cows for 3 months. If A's share of rent is Rs. 2160, find the total rent of the field.
Choices:
3550
4250
9750
3250
Answer: C
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is ?
Choices:
25 kmph
30 kmph
50 kmph
None of these
Answer: C
Question: Sreedhar and Sravan together can do a work in 25 days. With the help of Pavan, they completed the work in 8 days and earned Rs. 225. What is the share of Sravan, if Sreedhar alone can do the work in 75 days?
Choices:
26
48
77
12
Answer: B
Question: An examiner rejects 0.16% of the meters as defective. How many will be examine to reject 4?
Choices:
4000
2500
5500
None of these
Answer: B
Question: An object thrown directly upward is at a height of h feet after t seconds, where h = -14 (t-3)^2 + 150. At what height, in feet, is the object 2 seconds after it reaches its maximum height?
Choices:
88
94
112
124
Answer: B
Question: In a forest 150 deer were caught, tagged with electronic markers, then released. A week later, 50 deer were captured in the same forest. Of these 50 deer, it was found that 10 had been tagged with the electronic markers. If the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest, and if no deer had either left or entered the forest over the preceding week, what is the approximate number of deer in the forest?
Choices:
750
3,000
1,500
2,500
Answer: B
Question: There are 15 points in a given plane, no three of which are on the same line. If one of the points is represented as 'Y', then how many triangles can be determined with the 15 points that contain the point Y?
Choices:
105
182
210
455
Answer: B
Question: if 70% of (x-y) = 30% of (x+y) then what percent of x is y?
Choices:
40%
5%
15%
25%
Answer: A
Question: A and B can do a work in 8 hours and 12 hours respectively. A starts the work at 6AM and they work alternately for one hour each. When will the work be completed?
Choices:
9.6 days
4 days
8.6 days
6.6 days
Answer: A
Question: If KING is coded as 17 and DON is coded as 18 Then MASS is coded as
Choices:
20
19
29
None
Answer: C
Question: Judges will select 5 finalists from the 7 contestants entered in a singing competition. The judges will then rank the contestants and award prizes to the 3 highest ranked contestants: a blue ribbon for first place, a red ribbon for second place, and a yellow ribbon for third place. How many different arrangements of prize-winners are possible?
Choices:
21
210
420
1,260
Answer: B
Question: A student took five papers in an examination, where the full marks were the same for each paper. His marks in these papers were in the proportion of 6 : 7 : 8 : 9 : 10. In all papers together, the candidate obtained 60% of the total marks. Then the number of papers in which he got more than 40% marks is
Choices:
5
3
2
1
Answer: A
Question: If 7^w is a factor of the product of the integers from 1 to 100, inclusive, what is the largest value of w?
Choices:
13
14
15
16
Answer: D
Question: 24 oz of juice P and 25 oz of juice V are mixed to make smothies A and Y . The ratio of p to V in smothie A is 4 is to 1 and that in Y is 1is to 5.How many ounces of juice P are contained in the smothie A?
Choices:
10
15
20
25
Answer: C
Question: Lucy bought a 1-year,10000 certificate of deposit that paid interest at an annual rate of 8 percent compunded semiannually. What was the total amount of interest paid on this certificate at maturity ?
Choices:
864
816
800
480
Answer: C
Question: A shop owner sells 30mtr of cloth and gains SP of 10 mtrs. Find the gain %?
Choices:
40%
50%
60%
70%
Answer: B
Question: For some integer x, x^2 - 5 is divisible by all of the following EXCEPT
Choices:
38
29
31
30
Answer: D
Question: The number x of cars sold each week varies with the price y in dollars according to the equation x = 800,000 – 50y. What would be the total weekly revenue W, in dollars, from the sale of cars priced at $ 15,000?
Choices:
750,000
850,000
7,500,000
W=750,000,000
Answer: D
Question: In an election between two candidates, 75% of the voters cast thierthier votes, out of which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. Find the total number of votes enrolled in that election.
Choices:
16000
16800
1680
16870
Answer: B
Question: KODAK bank offers an interest of 5% per annum compounded annually on all its deposits. If $10,000 is deposited, what will be the ratio of the interest earned in the 4th year to the interest earned in the 5th year?
Choices:
625:3125
100:105
100^4:105^4
725:3225
Answer: B
Question: Virat buys an old car for Rs. 60000 and spends Rs. 4000 on its repairs. If he sells the scooter for Rs. 65000, his gain percent is:
Choices:
11 (1/9) %
12 (2/3) %
1.6%
None of these
Answer: C
Question: Of the 800 employees of Company X, 30 percent have been with the company for at least ten years. If y of theselong-termmembers were to retire and no other employee changes were to occur, what value of y would reduce the percent oflong-termemployees in the company to 20 percent ?
Choices:
160
112
80
100
Answer: D
Question: A solution of 90 litres contains milk and water in the ratio 7:x. If ten litres of water is added to the solution, the ratio becomes 3:2, find the value of x?
Choices:
1.5
3.5
2.5
3
Answer: B
Question: A rectangular-shaped carpet remnant that measures x feet by y feet is priced at $70. What is the cost of the carpet, in dollars per square yard? (9 square feet = 1 square yard)
Choices:
630xy
xy/9
xy/70
630/(xy)
Answer: D
Question: A man in a train notices that he can count 41 telephone posts in one minute. If they are known to be 50 metres apart, then at what speed is the train travelling?
Choices:
220 km/hr
220 km/hr
120 km/hr
203 km/hr
Answer: C
Question: An investor deposited $10,000 to open a new savings account that earned 8 percent annual interest, compounded quarterly. If there were no other transactions in the account, what was the amount of money in the account 6 months after the account was opened?
Choices:
$10,202
$10,400
$10,404
$10,800
Answer: C
Question: Find the odd man out. 30, -5, -45, -90, -145, -195, -255
Choices:
-145
-30
-90
-5
Answer: A
Question: How many positive integers less than 8,000 are there in which the sum of the digits equals 5?
Choices:
56
55
54
53
Answer: A
Question: If 204 ÷ 12.75 = 16, then 2.04 ÷ 1.275 = ?
Choices:
1.6
0.16
0.016
None of these
Answer: A
Question: In a deck of cards there are 50 cards numbered from 1 to 13. There are 4 cards of each number in the deck. If you insert 12 more cards with the number 10 on them and you shuffle the deck really good, what is the probability to pull out a card with a number 10 on it?
Choices:
4/17.
5/29.
8/31.
1/3.
Answer: C
Question: If x is a whole number, then x²(x² - 1) is always divisible by
Choices:
Multiple of 12
12
24
48
Answer: B
Question: The average of 6 no.'s is 3.95. The average of 2of them is 3.4, while the average of theother 2 is 3.85. What is the average of the remaining 2 no's?
Choices:
2.5
3.5
3.6
4.6
Answer: D
Question: AB
+BA
___
121
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
14
Answer: C
Question: Calculate the average mark scored by Adam if he had the following scores in an examination: 86, 75, 72, 63 and 65 marks (out of 100) in French Language, Geography, Art and design, History and Physical Education respectively?
Choices:
79.2
72.2
71.2
76.2
Answer: B
Question: Light glows for every 15 seconds . How many max. times did it glow between 1:57:58 and 3:20:47 am.
Choices:
381 times
382 times
392 times
331 times
Answer: D
Question: If both 5^3 and 3^4 are factors of n x (2^5) x (12^2) x (7^3) x (10^2), what is the smallest possible positive value of n?
Choices:
45
75
125
150
Answer: A
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 46, the dividend is?
Choices:
5325
5330
5334
5336
Answer: D
Question: Suppose, the speed of any positive integer n is defined as follows:
seed(n) = n, if n < 10
= seed(s(n)), otherwise,
where s(n) indicates the sum of digits of n.For example, seed(7) = 7, seed(248) = seed(2 + 4 + 8) = seed(14) = seed(1 + 4) = seed(5) = 5 etc. How many positive integers n, such that n < 500, will have seed (n) = 9?
Choices:
72
81
108
55
Answer: D
Question: What is the smallest integer that satisfies the inequality ((x - 3)/ (x^2 - 8x - 20)) > 0?
Choices:
10
-1
3
0
Answer: B
Question: Eight children — A, B, C, D, E, F, G and H — are going to sit in eight chairs in a row. The children C & F have to sit next to each other, and the others can sit in any order in any remaining chairs. How many possible configurations are there for the children?
Choices:
720
10080
14320
14800
Answer: B
Question: Students at a school were on average 180 cm tall. The average female height was 170 cm, and the average male height was 184 cms. What was the ratio D of men to women?
Choices:
5:2
4:3
4:1
3:1
Answer: A
Question: A student has to obtain 33% of the total marks to pass. He got 125 marks and failed by 73 marks. The maximum marks are?
Choices:
300
500
600
175
Answer: C
Question: Roberto has three children: two girls and a boy. All were born on the same date in different years. The sum of the ages of the two girls today is smaller than the age of the boy today, but a year from now the sum of the ages of the girls will equal the age of the boy. five years from today, the difference between the age of the boy and the combined ages of the girls will be
Choices:
2
-4
–2
–1
Answer: B
Question: Two trains are traveling towards the same direction. First train is moving at speed of 100 km/hour and second train 200 km/hour.When will the head of first train start overtaking the second train.
Choices:
1 hour
2.5 hour
3.5 hour
4 hour
Answer: B
Question: If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in cm2) is?
Choices:
100
287
189
289
Answer: A
Question: Jim is now twice as old as Fred, who is nine years older than Sam. Six years ago, Jim was five times as old as Sam. How old is Jim now?
Choices:
46
50
54
58
Answer: A
Question: A man goes from A to B at a speed of 20 kmph and comes back to A at a speed of 30 kmph. Find his average speed for the entire journey?
Choices:
24
55
66
71
Answer: A
Question: 12 : 8 seconds :: ? : 4 minutes
Choices:
15
6
8
7
Answer: B
Question: ) A cube is painted blue on all of its surfaces. It is then cut in to 27 smaller cubes of equal size. Find how many smaller cubes have no color?
Choices:
1
8
5
7
Answer: A
Question: A train 700 m long can cross an electric pole in 40 sec and then find the speed of the train?
Choices:
271
72
27
63
Answer: D
Question: Find the least number must be subtracted from 964807 so that remaining no.is divisible by 8?
Choices:
7
5
4
3
Answer: A
Question: In 1995 a certain store had 1,800 tools in stock that had been purchased for $30 each. If 1,000 of these tools were sold in 1995 for $50 each and the remaining 800 were sold in 1996 for $60 each, how many greater was the gross profit on the tools sold in 1996 than the gross profit on those sold in 1995?
Choices:
$4,000
$8,000
$32,000
$40,000
Answer: A
Question: What is the exact probability that, when rolling six fair dice, at least one of the dice shows a 6?
Choices:
31031/46656
5/6
35625/46656
1/6
Answer: A
Question: A family pays $900 per year for an insurance plan that pays 60 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter. In any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total how much?
Choices:
$1,200
$1,400
$1,500
$1,700
Answer: D
Question: The sum of ages of 5 children born 3 years different each is 50 yrs. What is the age of the Elder child?
Choices:
12
16
19
20
Answer: B
Question: 65% of the employees in a multinational corporation have VCD players, 75 percent have microwave ovens, 80 percent have ACs and 85 percent have washing machines. At least what percentage of employees has all four gadgets?
Choices:
(b) 5%
(c) 10%
(d) 20%
(e) 25%
Answer: A
Question: Insert the missing number.
2, 6, 12, 20, 30, 42, (....)
Choices:
56
72
66
19
Answer: A
Question: A person traveled 3 equal distances 20km/hr, 30km/hr, 60km/hr then find its avg speed?
Choices:
30km/hr
22km/hr
19km/hr
31km/hr
Answer: A
Question: How many minutes will be used to cover distance of 520m, if a man running at the speed of 15km/hr?
Choices:
125 sec
114 sec
115 sec
117 sec
Answer: A
Question: A bus covered a distance of 250 km, partly at an average speed of 40 kmph and partly at 60 kmph. If the total time taken is 6 hours, then the distance covered at 40 kmph is
Choices:
220 km
100km
140km
none of these
Answer: A
Question: A and B can do a piece of work in 30 days and 30 days respectively. They work together for 10 days and B leaves. In how many days the whole work is completed?
Choices:
30days
40days
45days
50days
Answer: A
Question: A and B together have Rs. 1210. If 4/15 of A's amount is equal to 2/5 of B's amount. How much amount B have.
Choices:
87.5%
88.5%
89.5%
Rs 484
Answer: D
Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Choices:
40
77
66
32
Answer: A
Question: What are the last two digits of 36*28*61*83*73*62?
Choices:
09
07
05
04
Answer: D
Question: The overall age of X and Y is 11 year greater than the overall age of Y and Z. Z is how many decades younger that X?
Choices:
11
12
17
19
Answer: A
Question: If x = 2^8 and x^x = 2^k, what is k?
Choices:
2^14
2^13
2^12
2^11
Answer: D
Question: A man has Rs. 480 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:
90
63
87
10
Answer: A
Question: The averge score of a cricketer for ten matches is 66 runs. If the average for the first six matches is 54. Then find the average for the last four matches?
Choices:
83.5
84
95
76
Answer: B
Question: Two persons starting from the same place walk at a rate of 8kmph and 15kmph respectively. What time will they take to be 14 km apart, if they walk in the same direction?
Choices:
2 hrs
5 hrs
12 hrs
6 hrs
Answer: A
Question: 17 times a positive integer is more than its square by 70, then the positive integer is
Choices:
10
11
12
14
Answer: A
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Choices:
350
889
276
234
Answer: A
Question: If log 2 = 0.3010 and log 3 = 0.4771, the values of log5 512 is
Choices:
3.875
3.872
3.828
3.192
Answer: A
Question: A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other at?
Choices:
12 min
18 min
15 min
19 min
Answer: A
Question: If .005^4 is represented in its shortest possible decimal form, how many 0’s to the right of the decimal point does it contain?
Choices:
8
9
10
11
Answer: B
Question: A man has $ 10,000 to invest. He invests $ 4000 at 5 % and $ 3500 at 4 %. In order to have a yearly income of $ 500, he must invest the remainder at:
Choices:
3.6%
6.4%
7.8%
8.9%
Answer: B
Question: If three distinct positive divisors of 64 are randomly selected, what is the probability that their sum will be less than 32?
Choices:
1/2
2/7
10/21
15/28
Answer: B
Question: A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 27 m * 2 m * 0.75 m?
Choices:
27908
78902
25000
27000
Answer: D
Question: A train speeds past a pole in 15 sec and a platform 140 m long in 25 sec, its length is?
Choices:
150
988
210
171
Answer: C
Question: A certain number of machines can do a work in 100days. If there were 10 machines more it could be finished in 10days less. How many machines are there?
Choices:
40
90
100
60
Answer: B
Question: For which of the following functions f is f(y) = f(1-y) for all y?
Choices:
f (x) = 1 - x^2
f (y) = y^2 - (1 - y)^2
f (y) = y^2*(1 - y)^2
f (y) = y/(1 - y)
Answer: C
Question: The expression x#y denotes the product of the consecutive multiples of 3 between x and y, inclusive. What is the sum of the exponents in the prime factorization of 21#27?
Choices:
7
8
9
10
Answer: C
Question: A rectangular floor is covered by a rug except for a strip 3 meters wide along each of the four edge. If the floor is 12 meters by 10 meters, what is the area of the rug in square meters?
Choices:
28
36
42
24
Answer: D
Question: Of the diplomats attending a summit conference, 14 speak French, 32 do not speak Russian, and 20% of the diplomats speak neither French nor Russian. If 10% of the diplomats speak both languages, then how many diplomats attended the conference?
Choices:
96
108
120
180
Answer: D
Question: Two dice are tossed once. What is the probability of getting an even number on the first die or a total sum of 9 on the two dice?
Choices:
5/9
7/18
11/18
7/36
Answer: A
Question: The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream?
Choices:
18 kmph
14 kmph
79 kmph
27 kmph
Answer: B
Question: A's salary is 40% of B's salary which is 25% of C's salary. What percentage of C's salary is A's salary ?
Choices:
10
30
40
50
Answer: A
Question: An article is bought for Rs.560 and sold for Rs.340, find the loss percent?
Choices:
38%
16%
39%
12%
Answer: C
Question: Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into a hat. If 4 of the slips are the drawn, without replacement, what is the probability that all 4 have a odd number written on it?
Choices:
1/10
1/8
1/42
5/9
Answer: C
Question: A chemical tank of capacity 2000m3 which is 65% full is found to be leaking. The chemical in the tank needs to be transported to a new destination using tanker trucks. If the capacity of a truck is 16m3 which can be filled upto 93% full. How many truck loads would be needed to transport the chemical?
Choices:
71
85
92
97
Answer: B
Question: The average of 65 numbers is 40. If two numbers, 79 and 60 are discarded, then the average of the remaining numbers is nearly
Choices:
39
38.78
39.06
30
Answer: C
Question: If x+y=10z, then which of the following represents the average (arithmetic mean) of x, y, and z, in terms of z?
Choices:
4z-1
5z
z/3
3z/2
Answer: A
Question: In a bag containing 3balls, a white ball was placed and then 1ball was taken out at random. What is theprobability that the extracted ball would turn onto be white, if all possible hypothesisconcerning the color of the balls that initially in the bag were equally possible ?
Choices:
5/8
6/7
7/8
6/7
Answer: A
Question: A train 125 m long passes a man, running at 10 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Choices:
17 km/hr
55 km/hr
50 km/hr
15 km/hr
Answer: B
Question: Factor | Percent of Respondents |
User-friendly | 56% |
Fast response time | 48% |
Bargain prices | 42% |
The table gives three factors to be considered when choosing an Internet service provider and the percent of the 1,400 respondents to a survey who cited that factor as important. If 30 percent of the respondents cited both “user-friendly” and “fast response time,” what is the maximum possible number of respondents who cited “bargain prices,” but neither “user-friendly” nor “fast response time?”
Choices:
336
364
384
420
Answer: B
Question: A man is trying to climb over a frozen mountain that is sixty feet high. Every minute, he can climb 3 feet, but due to the slippery ice, he slips back 2 feet.
How long will it take him to reach the top of the mountain?
Choices:
58 minutes
59 minutes
53 minutes
54 minutes
Answer: A
Question: The decimal d is formed by writing in succession all the positive, odd integers in increasing order after the decimal point; that is d = 0.1357911131517...
What is the 100th digit of d to the right of decimal point?
Choices:
1
0
9
7
Answer: B
Question: There is 60 lit of milk and water in which milk forms 84%.Howmuch water must be added to this solution to make it solution in which milk forms 68%
Choices:
14.11
20.75
21.75
22.75
Answer: A
Question: A sum of money lent out at S.I. amounts to a total of $520 after 2 years and to $820 after a further period of 5 years. What was the initial sum of money that was invested?
Choices:
$360
$380
$400
$420
Answer: C
Question: A cricket bat is sold for $850, making a profit of $215. The profit percentage would be
Choices:
25%
34%
36%
40%
Answer: B
Question: 2.2,5.5,8,36,40.5,263.25,?
Choices:
269.75
289.75
299.75
259.75
Answer: A
Question: A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
Choices:
18:11
18:10
18:14
14:11
Answer: A
Question: You are gifted a coin that is dated 378 B.C. How much worth the coin is as per your assumption?
Choices:
0
2
5
6
Answer: A
Question: Dustin's Pizza Shop sells 3 sizes of pizza: Small, Medium, and Large. A Small pizza contains 4 slices, A Medium Pizza contains 6 slices and a Large pizza contains 10 slices. Lisa, a customer having a birthday party, visits the shop with her 2 daughters and 9 friends. To ensure each of the visitors receive an equal amount of pizza with none leftover, which of the following combinations are possible?
Choices:
4 Small and 1 Medium
2 Small and 4 Medium
4 Medium and 1 Large
1 Medium and 3 Large
Answer: D
Question: If s,u, and v are positive integers and 2s=2u+2v, which of the following must be true?
i. s=0
ii. u is not equal to v
iii.u > v
Choices:
None
II only
III only
II and III
Answer: A
Question: Which of the following equations describes a line that is perpendicular to y = x/2 + 6?
Choices:
y = −1 − 2x
y = -3x
y = 6x-1
y = 1/x + 6
Answer: A
Question: Three friends had dinner at a restaurant. When the bill was received, Amita paid 2/3 as much as Veena paid and Veena paid 1/2 as much as Tanya paid. What faction of the bill did Veena pay ?
Choices:
3/11
12/13
5/8
9/8
Answer: A
Question: 40% of Ram's marks is equal to 20% of Rahim's marks which percent is equal to 30% of Robert's marks. If Robert's marks is 80, then find the average marks of Ram and Rahim?
Choices:
70
80
90
100
Answer: C
Question: An Olympic diver received the following scores: 7, 4, 8, 10, and 6. The standard deviation of her scores is in which of the following ranges?
Choices:
2-3.9
4 – 6.9
7 – 7.9
8 – 9.9
Answer: A
Question: A 10-by-7 inch piece of paper is used to form the lateral surface of a cylinder. If the entire piece of paper is used to make the lateral surface, which of the following must be true of the two possible cylinders that can be formed?
Choices:
The volume of the cylinder with height 7 is 70/pi cubic inches greater than the volume of the cylinder with height 10.
The volume of the cylinder with height 10 is 70pi cubic inches greater than the volume of the cylinder with height 6.
The volume of the cylinder with height 7 is 70pi cubic inches greater than the volume of the cylinder with height 10.
The volume of the cylinder with height 6 is 240/pi cubic inches greater than the volume of the cylinder with height 10.
Answer: A
Question: In how many different ways can 7 girls and 7 boys form a circle such that the boys and the girls alternate?
Choices:
3628800
120000
36286200
None of these
Answer: A
Question: On 8th march,2005,Wednesday falls. What day of the week was it on 8th march,2004?
Choices:
00
27
01
8
Answer: C
Question: Two employees X and Y are paid a total of Rs. 638 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.280
s.290
s.299
s.300
Answer: B
Question: If the number is decreased by 5 and divided by 7 the result is 7. What would be the result if 2 is subtracted and divided by 13?
Choices:
4
8
5
3
Answer: A
Question: An outlet pipe empties a tank which is full in 5 hours. If the inlet pipe is kept open, which lets water in at the rate of 8 litres/min then outlet pipe would take 3 hours longer. Find the capacity of the tank.
Choices:
200 litres
12800 litres
6400 litres
13200 litres
Answer: C
Question: If the simple interest on a sum of money for 3 years at 7% per annum is Rs. 570, what is the compound interest on the same sum at the rate and for the same time?
Choices:
Rs. 810.83
Rs. 617
Rs. 618
Rs. 610.83
Answer: D
Question: While working alone at their constant rates, computer X can process 240 files in 12 hours, and computer Y can process 240 files in 4 hours. If all files processed by these computers are the same size, how many hours would it take the two computers, working at the same time at their respective constant rates, to process a total of 240 files?
Choices:
2.4
2.7
3
3.5
Answer: C
Question: A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Choices:
150m
267m
268m
287m
Answer: A
Question: A group of 10 representatives is to be selected out of 15 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors?
Choices:
15C₇ * 10
15C10 * ¹⁰C₅
12 * ¹⁰C₅
None of these
Answer: B
Question: Michelle deposited a certain sum of money in a savings account on July 1st, 2007. She earns an 10% interest compounded semiannually. The sum of money in the account on December 31st, 2009 is approximately what percent of the initial deposit?
Choices:
127%
121%
135%
140%
Answer: A
Question: 4.036 divided by 0.04 gives
Choices:
1.009
10.9
None of these
cannot be determined
Answer: A
Question: What will come in place of the x in the following Number series? 18, 22, 30, 46 ,X, 142
Choices:
56
78
87
98
Answer: B
Question: One thief entered a cave where he found a pile of diamonds. At first he thought of taking all. But listening to his conscience he thought of taking only half of them. But while returning he picked up two more from the pile. After that Second thief entered the cave and bagged half of remaining diamonds and picked up two more while returning. Later third thief entered and did the same. Even the fourth thief did the same. When the fifth thief entered he found only one diamond in the cave. How many diamonds are there in the cave at first.
Choices:
94
80
96
55
Answer: C
Question: A train overtakes 2 girls who are walking inthe opposite direction in which the train is going at the rate of 3 km/hour & 6km/hour and passes them completely in 36sec & 30 sec respectively. Find the length of the train is?
Choices:
120 m
150 m
190 m
210 m
Answer: B
Question: If 4x + y = 8 and −2x + y = 13, then what is the value of 2x + 2y?
Choices:
3
15
21
60/7
Answer: C
Question: In a 500 m race, the ratio of the speeds of two contestants A and B is 2 : 4. A has a start of 300 m. Then, A wins by:
Choices:
20m
43m
20m
100 m
Answer: D
Question: The sum of the present ages of a son and his father is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, what will be son's age?
Choices:
20
22
25
18
Answer: A
Question: A person incures loss for by selling a watch for rs1140.at what price should the watch be sold to earn a 5% profit ?
Choices:
Rs.1260
Rs.1200
Rs.1250
Rs.1280
Answer: A
Question: In a apartment, 20% of the people speak English, 60% speak Hindi and 60% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi?
Choices:
1/5
2/5
2/7
2/9
Answer: A
Question: The difference between the length and breadth of a rectangle is 30 m. If its perimeter is 240 m, then its area is:
Choices:
2420 m2
3375 m2
2520 m2
None
Answer: B
Question: A straight line in the xy- plane has slope 4 . On this line the x-coordinate of the point is 50 and y-coordinate is 300 then what is the y intercept of the plane?
Choices:
110
100
200
50
Answer: B
Question: If a truck is travelling at a speed of 54 kmph, crosses a pole in 1 sec, then the length of train is?
Choices:
14 m
15 m
16 m
17 m
Answer: B
Question: What is the sum of all the prime factors of 220 and 330?
Choices:
21
35
41
64
Answer: C
Question: Two twins sisters Sita and Geeta were standing back to back and suddenly they started running in opposite direction for 4 miles and then turn to left and run for another 3 miles.
what is the distance between the the two twins when they stop ?
Choices:
10 miles
18 miles
16 miles
13 miles
Answer: A
Question: If x and y are positive integers, then xy - y is
Choices:
Odd whenever y is odd
Odd whenever x+y is even
Even whenever y is odd
It cannot be determined
Answer: A
Question: If x, y, and z are all factors of 21, which of the following must be true?
Choices:
Either x = y, y = z, or x = z
x – y – z = even
The product xyz is odd
yz/x is an integer
Answer: C
Question: Ratio of the ages of Mahesh and Nilesh is 5 : x. Mahesh is 18 years younger to Ramesh. After nine years Ramesh will be 47 years old. If the difference between the ages of Mahesh and Nilesh is same as the age of Ramesh, what is the value of x?
Choices:
62.2
14.2
13.7
14.5
Answer: D
Question: Which one of the following can't be the square of natural number ?
Choices:
128242
131044
130321
130322
Answer: A
Question: Every digit of a number written in binary is either 0 or 1. To translate a number from binary, multiply the nth digit (reading from right to left) by 2^(n-1)
What is the largest prime number (written in binary) that is a factor of both 10110000 and 101100000 ?
Choices:
11
101
1011
10001
Answer: C
Question: If x = - |x| , then which one of the following statements could be true?
I. x <1
II. x < 0
III. x > 0
Choices:
I only
II only
I and II
II and III
Answer: B
Question: Of the 14,210 employees of the anvil factory, 3/7 are journeymen. If half of the journeymen were laid off, what percentage of the total remaining employees would be journeymen?
Choices:
14.3%
33%
28.6%
49.67%
Answer: A
Question: If a and b are positive numbers, and a^3 + b^3 = 140, then the greatest possible value of a is between:
Choices:
2 and 3
3 and 4
4 and 5
5 and 8
Answer: D
Question: Set A {3,3,3,4,5,5,5} has a standard deviation of 1. What will the standard deviation be if every number in the set is multiplied by 3?
Choices:
B)2
C)4
D)3
E)16
Answer: C
Question: Two trains of length 100 meters and 200 meters are 630 meters apart. They are moving towards each other on parallel tracks, at speeds of 90 km/h and 72 km/h. After how many seconds will the trains meet?
Choices:
14
16
18
20
Answer: A
Question: Becky sets up a hot dog stand in her busy neighborhood and purchases x pounds of hot dogs for q dollars per pound. If she has to throw away s pounds of hot dogs due to spoilage and she sells the rest of the hot dogs for d dollars per pound, which of the following represents the net profit on the sale of the hot dogs?
Choices:
xq – (xd – sd)
xd – sq
(x – s)d – xq
(s – q)d – xq
Answer: C
Question: Allen walks at an average speed of 4km/h, to the park and then return to the home he walks at an average speed of 8km/h. Which of the following is the closest approximation of Allen's average speed, in kilometers per hour, for the trip?
Choices:
32
25
16
4
Answer: C
Question: Each child has 8 crayons and 15 apples. If there are 7 children, how many crayons are there in total?
Choices:
56
12
36
10
Answer: A
Question: A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choices:
28 Kmph
72 Kmph
18 Kmph
29 Kmph
Answer: B
Question: Two sets A and B consists only of positive integers such that mean of set A is 40 . If set R consist of all the elements of both A and B such that mean of R is 80 then the mean of set B is =>
Choices:
[B] 60
[C 70
[D] 55
[E] cannot be determined
Answer: D
Question: A train 280 m long passed a pole in 28 sec. How long will it take to pass a platform 660 m long?
Choices:
94
71
68
88
Answer: A
Question: A baker makes chocolate cookies and peanut cookies. His recipes allow him to make chocolate cookie in batches of 7 and peanut cookies in batches of 6. If he makes exactly 97 cookies, what is the minimum number of chocolate chip cookies he makes?
Choices:
7
21
35
49
Answer: A
Question: A paper is in a square form whose one side is 20 cm. Two semi circles are drawn on its opposites as diameters. If these semi circles are cut down what is the area of the remaining paper?
Choices:
8.79
8.75
8.74
8.72
Answer: B
Question: 9 persons a, b, c, ... and i are to be lined up in a row. If a, b, and c adhere always together, how many possible cases are there?
Choices:
36
48
72
144
Answer: D
Question: Of the 13 employees in a certain department, 1 has an annual salary of 38,000, 2 have an annual salary of 45,600 each, 2 have an annual salary of 42,500 each, 3 have an annual salary of 40,000 each and 5 have an annual salary of 48,500 each. What is the median annual salary for the 13 employees?
Choices:
40,000
42,600
45,600
48,500
Answer: C
Question: The botanic garden is planting bulbs for the spring flower show. The head gardener is trying to decide how to place three Tulips bulbs, three Daffodil bulbs, and three Crocus bulbs along the front row. How many different arrangements can he make of these bulbs in the front row?
Choices:
108
216
512
1,680
Answer: D
Question: What sum of money put at C.I amounts in 2 years to Rs.8880 and in 3 years to Rs.9261?
Choices:
8164
2877
2678
1011
Answer: A
Question: Find the area of a parallelogram with base 24 cm and height 16 cm?
Choices:
384 cm2
279 cm2
297 cm2
278 cm2
Answer: A
Question: A fresh water aquarium contains Molly fish and Guppy fish at a ratio of 15:16. If 35 additional Guppy fish were put in the aquarium, the ratio of Molly fish to Guppy fish would be 15:21. How many Molly fish does the aquarium contain?
Choices:
105
120
135
150
Answer: A
Question: After M students took a test, the average score was 65%. If the test has 50 questions, what is the least number of questions that the next student has to get right to bring the average score up to 70%?
Choices:
2.5M + 35
0.65M + 70
70 - 0.65M
35+0.65M
Answer: A
Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Choices:
2560
2650
3500
5184
Answer: D
Question: Jim bought edging to go around a circular garden with a radius of 4 feet. Later he decided to
double the diameter of the garden. How many more feet of edging must he buy?
Choices:
48.84' additional edging
38.84' additional edging
18.84' additional edging
25.12' additional edging
Answer: D
Question: There are 50 players in a chess group, and each player plays each of the others once. Given that each game is played by two players, how many total games will be played?
Choices:
3000
1225
6000
9000
Answer: B
Question: The diameter of a cylindrical tin is 14 cm and height is 2 cm. Find the volume of the cylinder?
Choices:
45
66
77
98
Answer: D
Question: What approximate value should come in place of the question mark (?) in the following equation?
16√524 + 1492 - 250.0521?
Choices:
1600
1900
2400
1400
Answer: A
Question: A retail item is offered at a discount of b percent (where b > 10), with a 5% state sales tax assessed on the discounted purchase price. If the state sales tax were not assessed, what percent discount from the item’s original retail price, in terms of b, would result in the same final price?
Choices:
b/1.05 +5
1.05b-5
b-5/1.05
1.05(p – 5)
Answer: B
Question: A train 1600 m long passes a man, running at 6 km/hr in the same direction in which the train is going, in 60 sec. The speed of the train is?
Choices:
42 km/hr
46 km/hr
48 km/hr
50 km/hr
Answer: A
Question: In a company of 16 employees, 8 employees earn $38,000, 4 employees earn $42,000, and the 4 highest-paid employees earn the same amount. If the average annual salary for the 16 employees is $44,000, what is the annual salary for each of the highest-paid employees?
Choices:
$55,000
$56,000
$57,000
$58,000
Answer: D
Question: What is the area of a square field whose diagonal of length 20 m?
Choices:
289
200
112
178
Answer: B
Question: How many times are the hands of a clock at right angle in a day?
Choices:
24
44
48
None
Answer: B
Question: Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is
Choices:
5/9
5/5
5/2
5/1
Answer: A
Question: If 0.5% of A =70 paise, then the value of A is ?
Choices:
Rs. 140
Rs. 1.70
Rs. 4.25
None
Answer: A
Question: Two brothers took the GMAT exam, the higher score is X and the lower one is Y. If the difference between the two scores is 1/5, what is the value of X/Y ?
Choices:
5
1/2.
1/3.
There isn't enough data to answer the question.
Answer: A
Question: The distance from City A to City B is 120 miles. While driving from City A to City B, Cara drives at a constant speed of 30 miles per hour. Dan leaves City A 60 minutes after Cara. What is the minimum constant speed in miles per hour that Dan must exceed in order to arrive in City B before Cara?
Choices:
44
46
48
40
Answer: D
Question: Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.
Choices:
277
960
872
121
Answer: B
Question: An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
Choices:
33 9/3%
33 1/3%
93 1/3%
33 2/3%
Answer: B
Question: |x+3| – |4-x| = |9+x| How many solutions will this equation have?
Choices:
1
2
3
4
Answer: A