antoine-444/aqua_rat_dataset huggingface dataset:
Question: The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 15. The larger of the two numbers is:
Choices:
299
322
345
355
Answer: C
Question: A painting 2 inches wide is placed around a rectangular board with dimensions 8 inches by 12 inches. What is the area of the painting, in square inches?
Choices:
196
96
144
128
Answer: B
Question: A can do a work in 10days and B can do the same work in 8 days. They work together for 3days and then A goes away. In how many days will B finish the work?
Choices:
21/40days
31/40days
14/21days
15/31days
Answer: B
Question: Ron has a cycle worth $ 1800 and he wants to sell it at a profit of $ 220. What should cycles selling price be?
Choices:
1790
1890
2020
2300
Answer: C
Question: Of the six-digit positive integers that have no digits equal to zero, how many have two digits that are equal to each other and the remaining digit different from the other two?
Choices:
3643200
5443200
1443200
2163200
Answer: B
Question: A certain sum of money at simple interest amounted Rs.980 in 3 years at 5% per annum, find the sum?
Choices:
855
299
852
903
Answer: C
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?
Choices:
2000
2400
2600
1500
Answer: A
Question: If 6^e is a factor of (10!)^2, What is the greatest possible value of e ?
Choices:
4
6
8
10
Answer: C
Question: A salt manufacturing company produced a total of 2500 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its ave66rage daily production for that year?
Choices:
100
109
120
90
Answer: A
Question: Each of the 11 letters A, H, I, M, O, T, U, V, W, X and Z appears same when looked at in a mirror. They are called symmetric letters. Other letters in the alphabet are asymmetric letters. How many two letter computer passwords can be formed (no repetition allowed) with at least one symmetric letter?
Choices:
2,420
12,100
12,870
25,740
Answer: A
Question: A certain kind of necklace is made from 9 gold, 6 blue, and 3 white beads. What is the maximum number of these necklaces that can be made from 36 beads of each color ?
Choices:
4
6
5
4
Answer: D
Question: A ladies hostel had provision of food for 200 women for 35 days. After 10 days, 25 women left the hostel. The number of days for which the remaining food will last is:
Choices:
28.0
28.47
27.47
29.47
Answer: B
Question: A toy train produces at least 10 different tunes when it moves around a circular toy track of radius 5 meters, at 10 meters per minute. However, the toy train is defective and it now produces only two different tunes at random. What is the probability that the toy train produces 3 music tunes of the same type (1 in _____ ) ?
Choices:
9
8
4
5
Answer: C
Question: Average of 10 matches is 34, How many runs one should should score to increase his average by 5 runs.
Choices:
B)76
C)78
D)89
E)88
Answer: C
Question: If x and y are integers, then xy(x + y) is
Choices:
Always negative
Positive when x is positive
Negative when x is negative
It cannot be determined by the information given
Answer: D
Question: How many seconds will a 400 metre long train take to cross a man running with a speed of 6 km/hr in the direction of the moving train if the speed of the train is 30 km/hr?
Choices:
30
45
64
60
Answer: D
Question: Let x be a positive integer, what is the remainder when 4^(2x+5)+3 is divided by 5?
Choices:
3
4
1
5
Answer: B
Question: Find the L.C.M of 36,90,210
Choices:
2520
1260
1360
1460
Answer: B
Question: On average, activated yeast cells divide once every 120 minutes; that is, each individual cell divides into two individual cells over that time span. Given that a certain yeast colony consisted of 150,000 cells two hours ago, approximately how many cells will be populating the colony six hours from now?
Choices:
1,860,000
2,400,000
3,720,000
4,960,000
Answer: B
Question: The value of y^2+2y-(2yy) when y=3 is:
Choices:
-3
4
-1
2
Answer: A
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
Choices:
5.7
5.76
5.71
5.74
Answer: B
Question: The cost of 16 pens and 8 pencils is Rs.352 and the cost of 4 pens and 4 pencils is Rs.96. Find the cost of each pen?
Choices:
27
21
92
20
Answer: D
Question: list of salaries of 7 employees are listed below. What is the median salary?
$40,000, $29,000, $35,500, $31,000, $30,000, $27,000, $32,000
Choices:
$28,500
$30,200
$31,000
$31,500
Answer: C
Question: The flying acrobatic team is made up of 120 airplanes. The team wants to form a rectangular formation with X planes in a row and Y planes in a column. If the
number of airplanes in a row is no less than 4 and no more than 30, how many different combinations of rectangular shapes are possible?
Choices:
5.
6.
8.
10.
Answer: D
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Choices:
140 sq.units
287 sq.units
216 sq.units
289 sq.units
Answer: A
Question: Tammy climbed a mountain in two days. She spent a total of 14 hours climbing the mountain. On the second day, she walked at an average speed that was half a kilometer per hour faster, but 2 hours less than what she walked on the first day. If the total distance she climbed during the two days is 52 kilometers, how many T kilometers per hour did Tammy walk on the second day?
Choices:
3.5
4
4.5
6
Answer: B
Question: Three cannons are firing at a target. If their individual probabilities to hit the target are 0.5, 0.2, and 0.3 respectively, what is the probability that none of the cannons will hit the target after one round of fire?
prob. that all the cannons will hit the target = .06
prob. that none of the cannons will hit = 1 - .06 = .94
Choices:
0.12
0.21
0.29
0.28
Answer: D
Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Choices:
2234
2540
2560
5184
Answer: D
Question: If x and y are both prime numbers greater than 10, which of the following CANNOT be true?
I. xy is an even number.
II. The difference between x and y equals 117.
III. The sum of x and y is even.
Choices:
II and III only
I and III only
I and II only
I, II and III
Answer: C
Question: What is the difference between the compound interest on Rs.12000 at 20% p.a. for one year when compounded yearly and half yearly?
Choices:
383
120
288
133
Answer: B
Question: Two cars cover the same distance at the speed of 50 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.
Choices:
214 km
224 km
216 km
204 km
Answer: A
Question: 1 barrel of gas is enough to power the lawnmower to mow both you and your neighbor's lawn 15 times before refilling. You're son decided he's going take over mowing these lawns and also mow 6 more neighbor's lawns. How many times will he be able to mow your lawn and the neighbor's lawns before refilling the barrel of gas?
Choices:
2.75
1.875
3.75
5
Answer: C
Question: In a public show 60 % of the seats were filled. If there were 600 seats in the hall, how many seats were vacant?
Choices:
110
120
140
240
Answer: D
Question: 5,9,18,30,50,__
Choices:
80
81
82
83
Answer: D
Question: How many words can be formed from the letters of the word ‘EXTRA’ so that the vowels are never together?
Choices:
72
14
65
18
Answer: A
Question: A cistern which could be filled in 9 hours takes one hour more to be filled owing to a leak in its bottom. If the cistern is full in what time will the leak empty it?
Choices:
77
28
90
28
Answer: C
Question: Amy, Bob, Cindy, and Daniel all have the same birthday, but they are all different ages. Today is their birthday. Cindy's age is divisible by Bob's age, and Amy's age is divisible by Cindy's age. If A is Amy's age in years, B is Bob's age, and C is Cindy's age, which of the following CANNOT be Daniel's age?
Choices:
(A+C)/B
(A+B)/C
AB/C
(A-C)/B
Answer: B
Question: Some of the 68% solution of acid was removed and this was replaced with an equal amount of 11% solution of acid. As a result, a 35% solution of acid was obtained. What fraction of the original solution was replaced?
Choices:
7/17
8/17
8/19
11/19
Answer: D
Question: A and B go around a circular track of length 600 m on a cycle at speeds of 30 kmph and 60 kmph. After how much time will they meet for the first time at the starting point?
Choices:
176 sec
178 sec
72 sec
189 sec
Answer: C
Question: J and M were each paid x dollars in advance to do a certain job together. J worked on the job for 10 hours and M worked for 4 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:
a)4y
c)6y
d)8y
e)9y
Answer: A
Question: In a certain sequence , the first term is 1, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term of the sequence?
Choices:
5/8
8/5
5/3
9/2
Answer: B
Question: An error 2% in excess is made while measuring the side ofa square. The % of error in the calculated area of the square is?
Choices:
4.04%
4.12%
4.17%
4.18%
Answer: A
Question: A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 5 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
Choices:
287
289
270
600
Answer: D
Question: Mayank, Mirza, Little and Jaspal bought a motorbike for $60. Mayank paid one-half of the sum of the amounts paid by the other boys. Mirza pad one-third of the sum of the amounts paid by the other boys. Little paid one-fourth of the sum of the amounts paid by the other boys. How much did Jaspal have to pay?
Choices:
$13
$17
None of these
Cannot be determined
Answer: A
Question: Fry ship’s pirates have obtained 100 gold coins and have to divide up the loot. The pirates are all extremely intelligent, treacherous and selfish (especially the captain).
The captain always proposes a distribution of the loot. All pirates vote on the proposal, and if half the crew or more go “Aye”, the loot is divided as proposed, as no pirate would be willing to take on the captain without superior force on their side.
If the captain fails to obtain support of at least half his crew (which includes himself), he faces a mutiny, and all pirates will turn against him and make him walk the plank. The pirates start over again with the next senior pirate as captain.
What is the maximum number of coins the captain can keep without risking his life?
Choices:
98
55
39
82
Answer: A
Question: Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
Choices:
4.5
5.6 percent
6.5
None
Answer: B
Question: 9log9(6) = ?
Choices:
6
3
4
5
Answer: A
Question: What is the probability of rolling five six-sided dice, and getting a different number on each die?
Choices:
1/3
4/9
5/54
7/18
Answer: C
Question: Mary's income is 60% more Than Tim's income and Tim's income is 20% less than Juan's income.What % of Juan's income is Mary's income.
Choices:
128%
96%
80%
64%
Answer: A
Question: A bag of P peanuts can be divided into 9 smaller bags with 6 peanuts left over. Another bag of M peanuts can be divided into 12 smaller bags with 4 peanuts left over. Which of the following is the remainder when PM is divided by 18?
Choices:
6
3
2
1
Answer: A
Question: Martin bought 10 concert tickets, some at the full price of $2.00 per ticket, and some at a discounted price of $1.60 per ticket. If he spent a total of $18.40, how many discounted tickets did he buy?
Choices:
4
5
6
7
Answer: A
Question: A farm has only chickens and pigs. When the manager of the farm counted the heads of the animals on the farm, the number totaled up to 70. When the number of legs was counted, the number totaled up to 204. How many more chickens than pigs are there on the farm? Note: Each pig has 4 legs and each chicken had 2 legs.
Choices:
5
6
7
8
Answer: B
Question: The average height of 50 pupils in a class is 155 cm. Five of them whose height is 146 cm, leave the class and five others whose average height is 156 cm, join. The new average height of the pupils of the class (in cm) is ?
Choices:
156 cm
276 cm
287 cm
297 cm
Answer: A
Question: There are 2 available positions and 50 candidates, one half of whom are democrats and another half are republicans. If it was decided that the positions would be filled at random, then what is the probability R that the both positions will be taken by members of just one party?
Choices:
12/49
1/4
24/49
1/2
Answer: C
Question: A can do a work in 60 days. He works for 15 days and later B alone completes the work in 30 days. In what time will they together complete the work?
Choices:
24 days
30 days
32 days
None of these
Answer: A
Question: If P represents the product of the first 14 positive integers, then P is not a
multiple of:
Choices:
b) 84
c) 51
d) 65
e) 57
Answer: B
Question: A batsman makes a score of 90 runs in the 11th inning and thus increases his average by 5. Find his average after 11th inning.
Choices:
40
62
45
56
Answer: A
Question: What is the remainder when 2990990900032 is divided by 32 ?
Choices:
8
4
0
2
Answer: C
Question: A certain drink of type A is prepared by mixing 4 parts milk with 3 parts fruit juice. Another drink of type B is prepared by mixing 4 parts of fruit juice and 3 parts of milk. How many liters of fruit juice must be added to 84 liters of drink A to convert it to drink B?
Choices:
28
32
36
40
Answer: A
Question: What is (16^7+16) / 16?
Choices:
16777217
17827343
18047455
19357579
Answer: A
Question: If an integer n is to be selected at random from 1 to 100, inclusive, what is probability n(n+1) will be divisible by 16?
Choices:
1/8
1/2
2/3
3/4
Answer: A
Question: If A=x^4 + y^4 = 100, then the greatest possible value of x is between
Choices:
3 and 6
6 and 9
9 and 12
12 and 15
Answer: A
Question: What is the 4 digit number in which the 1st digit is 1/3 of the second, the 3rd is the sum of the 1st and 2nd, and the last is three times the second?
Choices:
1345
1349
1456
2467
Answer: B
Question: What is the ratio between perimeters of two squares one having 3 times the diagonal then the other?
Choices:
3:9
3:2
3:1
3:5
Answer: C
Question: A can do a work in 6 days. B can do the same work in 12 days. If both A & B are working together in how many days they will finish the work?
Choices:
5
4
2
6
Answer: B
Question: If 10 ounces of a strong vinegar solution are diluted with 50 ounces of water to form a five-percent vinegar solution, what was the concentration of the original solution?
Choices:
28%
30%
32%
36%
Answer: B
Question: If y is 40% greater than x, than x is what % less than y?
Choices:
28.6%
32.3%
36.5%
40.9%
Answer: A
Question: Lionel left his house and walked towards Walt's house, 48 miles away. Four hours later, Walt left his house and ran towards Lionel's house. If Lionel's speed was 2 miles per hour and Walt's 6 miles per hour, how many miles had Lionel walked when he met Walt?
Choices:
18
20
24
28
Answer: A
Question: At what price must an article costing Rs.38 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:
50
62.3
62.1
62.4
Answer: A
Question: If x = 3k, where k is a prime number greater than 2, how many different positive even divisors does x have, including x?
Choices:
0
2
3
It cannot be determined from the information given
Answer: A
Question: Look at this series: 1.5, 2.3, 3.1, 3.9, ... What number should come next?
Choices:
4.4
4.7
5.1
None
Answer: B
Question: How many words, with or without meaning, can be formed using all letters of the word RED using each letter exactly once?
Choices:
6
8
9
10
Answer: A
Question: Mary’s annual income is $15,000 and John’s annual income is $18,000. By how much must Mary’s annual income increase so that it constitutes 50% of Mary and John’s combined income?
Choices:
$3,000
$7,000
$11,000
$25,000
Answer: A
Question: The price of an item is discounted 10 percent on day 1 of a sale. On day 2, the item is discounted another 20 percent, and on day 3, it is discounted an additional 40 percent. The price of the item on day 3 is what percentage of the sale price on day 1?
Choices:
48%
64.8%
70%
72%
Answer: A
Question: At a certain conference, 150 students spoke one or more of the following languages: Spanish, English, and French. If 43 students spoke Spanish, 90 spoke English, 65 spoke French, and 32 spoke only 2 languages, how many students spoke three different languages?
Choices:
8
12
15
18
Answer: A
Question: A man can row upstream at 10kmph and downstream at 18 kmph. The speed of the stream is
Choices:
4 km/hr
5 km/hr
10.5 km/hr
None
Answer: A
Question: If x and y are positive integers, which of the following CANNOT be the greatest common divisor of 45x and 20y?
Choices:
5(x-y)
20x
20y
35x
Answer: B
Question: Of the two-digit positive integers that have no digits equal to zero, how many have two digits that are equal to each other and the remaining digit different from the other two?
Choices:
9
72
144
216
Answer: A
Question: A certain company retirement plan has arule of 70provision that allows an employee to retire when the employee's age plus years of employment with the company total at least 70. In what year could a female employee hired in 1986 on her 30nd birthday first be eligible to retire under this provision?
Choices:
2004
2005
2006
2007
Answer: C
Question: 5/6 of the lights bulbs on a string of all red christmas lights will light up. Then Fred replaced 1/2 of the dead bulbs with green bulbs. What fraction of the lights that light up are green?
Choices:
1/11
2/11
1/12
1/8
Answer: A
Question: If there are 30 red and blue marbles in a jar, and the ratio of red to blue marbles is 6:4, what is the probability that, drawing twice, you will select two red marbles if you return the marbles after each draw?
Choices:
2/25
3/25
4/25
21/25
Answer: A
Question: The purchase price of an article is $48. In order to include 10% of cost for overhead and to provide $12 of net profit, the markup should be
Choices:
25%
35%
40%
45%
Answer: B
Question: A and B invests Rs.4000 and Rs.4000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
Choices:
3:8
3:2
9:9
3:1
Answer: B
Question: When 1/10 percent of 7,000 is subtracted from 1/10 of 7,000, the difference is
Choices:
50
450
693
500
Answer: C
Question: In a triangle if the length of sides are as given below which one will not form triangle?
Choices:
(5,4,5)
(4,4,9)
(3,4,5)
(3,4,8)
Answer: B
Question: The tax on a commodity is diminished by 24% but its consumption is increased by 12%. Find the decrease percent in the revenue derived from it?
Choices:
18%
15%
12%
14%
Answer: B
Question: If the average (arithmetic mean) of (2a+16) and (3a-8) is 79, what is the value of a?
Choices:
30
28
36
42
Answer: A
Question: At an election 2 candidates are participated and a candidate got 20% of votes and defeated by 500. and 10 votes are invalid. Find the total polled votes?
Choices:
843
965
413
1245
Answer: A
Question: If a certain sample of data has a mean of 24.0 and a standard deviation of 3.0, which of the following values is more than 2.5 standard deviations from the mean?
Choices:
13.5
17.0
23.5
26.5
Answer: B
Question: The H.C.F of two numbers is 17 and their L.C.M is 5134. If one of the numbers is 289, then the other is?
Choices:
302
306
308
310
Answer: A
Question: The speed at which a girl can row a boat in still water is 75 kmph. If he rows downstream, where the speed of current is 15 kmph, what time will he take to cover 300 metres?
Choices:
16
18
19
20
Answer: A
Question: A man can do a piece of work in 6 days, but with the help of his son he can do it in 3 days. In what time can the son do it alone ?
Choices:
6 days
5 days
4 days
None of these
Answer: A
Question: 6/7 of a certain number is 96. Find quarter of that number.
Choices:
32
56
28
30
Answer: C
Question: Two trains of equal length, running with the speeds of 60 and 40 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions?
Choices:
10 sec
99 sec
90 sec
12 sec
Answer: A
Question: Using all the letters of the word "HEAD", how many words can be formed, which begin with H and end with D?
Choices:
4
2
7
9
Answer: B
Question: One side of a rectangular field is 13 m and one of its diagonal is 17 m. Find the area of the field.
Choices:
141.7
150
180
None
Answer: A
Question: How many positive integers of three different digits, each less than 400 can be formed from the digits 1, 2, 3, 4, 5 and 6?
Choices:
60
90
120
150
Answer: A
Question: rahul played weel in this season.his current batting averagge is 51.if he score 69 runs in today match.his batting average will become 54.how many matches had he played in this season.
Choices:
10
9
6
5
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 240 m long?
Choices:
99
48
77
21
Answer: B
Question: The cross-section of a cannel is a trapezium in shape. If the cannel is 10 m wide at the top and 6 m wide at the bottom and the area of cross-section is 640 sq m, the depth of cannel is?
Choices:
27
27
80
26
Answer: C
Question: Elena purchased Brand X pens for $5.00 apiece and brand Y for $2.80 apiece. If Elena purchased a total of 12 of these pens for $42.00, how many brand X pens did she purchase?
Choices:
5
6
7
8
Answer: B
Question: A reduction of 40% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
Choices:
72
64
56
48
Answer: B
Question: How many figures are required to number the pages the pages of a book containing 365 pages?
Choices:
987
286
126
181
Answer: A
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 90 kmph and 126 kmph. In how much time will the trains cross each other?
Choices:
80/7 sec
80/9 sec
80/5 sec
20/3 sec
Answer: D
Question: The average (arithmetic mean) of a normal distribution of a school's test scores is 65, and standard deviation of the distribution is 6.5. A student scoring a 72 on the exam is in what percentile of the school?
Choices
Choices:
68th percentile
84th percentile
96th percentile
98th percentile
Answer: A
Question: Two trains 140 m and 170 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choices:
10.1 sec
10.6 sec
10.8 sec
11.16 sec
Answer: D
Question: Question: What is the remainder when T=(1!)!^3 + (2!)^3 + (3!)^3 + … + (432!)^3 is divided by 144?
Choices:
25
49
81
100
Answer: C
Question: Billy lives in a town in which 75% of pets are dogs. Of the non-dog pets, 50% are cats. If there are 50 pets in town that are not cats or dogs, how many pets are there in town?
Choices:
350
400
450
500
Answer: B
Question: What is the dividend? The divisor is 800, the Quotient is 594, and the Remainder is -968.
Choices:
43036
51515
474232
2025
Answer: C
Question: A reduction of 24% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
Choices:
s.2.4
s.2.5
s.2.2
s.3.16
Answer: D
Question: A certain sum of money at simple interest amounted Rs.800 in 12 years at 3% per annum, find the sum?
Choices:
268
198
588
168
Answer: C
Question: Priya takes a trip and drives 5 hours from Town X to Town Z at a rate of 50 miles per hour. On her way back, Priya drives 60 miles per hour and stops in Town Y which is midway between Town X and Town Z. How many hours does it take Scott to drive from Town Z to Town Y?
Choices:
2.25
2.08
1.75
2.0
Answer: B
Question: Tough and Tricky questions: Word Problems.
Operation # is defined as: a # b = 4a^2 + 4b^2 + 8ab for all non-negative integers. What is the value of (a + b) + 7, when a # b = 100?
Choices:
8
10
12
17
Answer: C
Question: A number when divided by a divisor leaves a remainder of 27. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?
Choices:
13
35
40
59
Answer: C
Question: Find the L.C.M of 6, 15, 24 and 20.
Choices:
160
120
150
250
Answer: B
Question: Solve the equation for time, "t" : 9(t + m) + 1 = 9(-t + m) + 19
Choices:
1
2
-2
3
Answer: A
Question: Of the 4 numbers, whose average is 60, the first is one-fourth of the sum of the last three. The first number is?
Choices:
40
48
52
56
Answer: B
Question: Set X consists of 10 integers and has median of 30 and a range of 30. What is the value of the greatest possible integer that can be present in the set?
Choices:
37
C.40
43
50
Answer: D
Question: If 0 < x ≤ 5, then which one of the following is the maximum value of (x – 1)^2 + x ?
Choices:
–1
0
1
21
Answer: D
Question: A train covers a distance of 16 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
Choices:
m
m
m
m
Answer: B
Question: The simple interest on a sum of money will be Rs.600 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
Choices:
1201
1200
1209
1216
Answer: B
Question: The salaries of A and B together amount to $3000. A spends 95% of his salary and B, 85% of his. If now, their savings are the same, what is A's salary?
Choices:
$1250
$2500
$2250
$1200
Answer: C
Question: A car takes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Choices:
50 Kmph
52 Kmph
56 Kmph
60 Kmph
Answer: D
Question: If an object travels at 9 feet per second, how many feet does it travel in one hour?
Choices:
32400
32000
1800
22000
Answer: A
Question: Two trains A and B starting from two points and travelling in opposite directions, reach their destinations 9 hours and 4 hours respectively after meeting each other. If the train A travels at 90kmph, find the rate at which the train B runs.
Choices:
60
120
80
135
Answer: D
Question: A used-book dealer sells paperback books at 3 times dealer's cost and hardback books at 4 times the dealer's cost. Last week, the dealer sold a total of 140 books, each of which had cost the dealer $1. If the gross profit (sales revenue minus the dealer's cost) on the sale of all of these books was $300, how many of the books sold were paperbacks?
Choices:
110
120
130
140
Answer: B
Question: A certain taxi company charges $3.00 for the first 1/5 of a mile plus $0.40 for each additional 1/5 of a mile. What would this company charge for a taxi ride that was 8 miles long?
Choices:
16.0
17.5
18.6
19.1
Answer: C
Question: Ten persons in an organization including A and B were to be divided in two groups of 5 members each. The total number of groups containing both A and B is what fraction of the total number of groups which can be formed?
Choices:
1/189
3/14
1/10
28/189
Answer: D
Question: In a mixture of 45 litres the ratio of milk to water is 4:1. Additional 11 litres of water is added to the mixture. Find the ratio of milk to water in the resulting mixture.
Choices:
4/1
2/3
9/5
3/2
Answer: C
Question: The ratio 5:20 expressed as percent equals to
Choices:
125 %
25 %
75 %
None of above
Answer: B
Question: Kate and Danny each have $10. Together, they flip a fair coin 5 times. Every time the coin lands on heads, Kate gives Danny $1. Every time the coin lands on tails, Danny gives Kate $1. After the five coin flips, what is the probability E that Kate has more than $10 but less than $15?
Choices:
1/2
12/30
E=15/32
E=3/8
Answer: C
Question: A tailor has 37.5 metres of cloth and he has to make 8 pieces out of a metre of cloth. How many pieces can be make out of this cloth?
Choices:
300
400
None of these
cannot be determined
Answer: A
Question: Find 96 ×× 97
Choices:
91/12
91/13
91/10
91/11
Answer: A
Question: The average (arithmetic mean) of 4 positive integers is 50. If the average of 2 of these integers is 40, what is the greatest possible value that one of the other 2 integers can have?
Choices:
65
119
109
115
Answer: B
Question: If a and b are the roots of the equation x2 - 9x + 20 = 0, find the value of a2 + b2 + ab?
Choices:
25
36
61
87
Answer: C
Question: In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100?
Choices:
27
25
11
65
Answer: B
Question: The ratio of the age of a man and his women is 4:3. At the time of first meet theratio was 5:3 and After 4 years this ratio will become 9:7. How many yrs ago were they met?
Choices:
12
15
16
20
Answer: A
Question: When a 80 meters long rod is cut down into small pieces of length 3.2 meters each. Then how many pieces are available ?
Choices:
68
25
67
69
Answer: B
Question: Find the average of first 30 natural numbers.
Choices:
15.5
15.2
15.8
65.2
Answer: A
Question: In how many ways can three consonants and two vowels be selected from the letters of the word "TRIANGLE"?
Choices:
61
15
72
30
Answer: D
Question: How many four letter combinations can be formed using the letters of the word HEART?
Choices:
25
60
120
200
Answer: C
Question: Working independently, Tina can do a certain job in 12 hours. Working independently, Ann can do
the same job in 9 hours. If Tina Works independently at the job for 8 hours and then Ann works
independently, how many hours will it take Ann to complete the remainder of the jobs?
Choices:
3/4
1
2
3
Answer: D
Question: Dhoni weighs twice as much as Nameetha. Nameetha's weight is 75% of Bima's weight. Dravid weighs 20% of Leela's weight. Leela weighs 40% of Dhoni's weight. Who among these 5 persons weighs the least?
Choices:
Leela
Dravid
Nameetha
Dhoni
Answer: B
Question: Number of prime numbers between 10 and 20 is
Choices:
4
6
7
9
Answer: A
Question: The line Q represented by which of the following equation does not intersect with the line represented by y = 3x^2+5x+1
Choices:
y = x^2+5x+2
y = 3x^2+5x+2
y = 3x^2+7x+2
y = x^2+7x+1
Answer: B
Question: What is the sum of all even integers between 99 and 301?
Choices:
20000
40400
20200
20400
Answer: C
Question: A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 8 km in stationary water?
Choices:
2 hours
1 hour 15 min
1 hour 30 min
1 hour 10 min
Answer: A
Question: A man sells a car to his friend at 15% loss. If the friend sells it for Rs.54000 and gains 20%, the original C.P.of the car was :
Choices:
Rs.32941.18
Rs.52941.18
Rs.62941.18
None of these
Answer: B
Question: If (4x + y)/(x + 4y) = 2/3, then find the value of (x + 4y)/(4x + y).
Choices:
3/4
3/2
3/6
3/8
Answer: B
Question: A jar contains only red, yellow, and orange marbles. If there are 3 red, 3 yellow, and 4 orange marbles, and 3 marbles are chosen from the jar at random without replacing any of them, what is the probability that 2 yellow, 1 red, and no orange marbles will be chosen?
Choices:
1/45
2/45
3/22
5/22
Answer: B
Question: If the President and Vice President must sit next to each other in a row with 6 other members of the Board, how many different seating arrangements are possible?
Choices:
10080
10228
11080
72000
Answer: A
Question: 0.35 represents what percent of 0.005?
Choices:
0.5%
5%
500%
7000%
Answer: D
Question: A train passes a station platform in 60 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choices:
420 m
168 m
197 m
691 m
Answer: A
Question: An empty pool being filled with water at a constant rate takes 8hours to fill to 3/7 of its capacity.how much more time will it take to finish filling the pool?
Choices:
5hr 20min
4hr 48min
3 hr 12min
2hr 40 min
Answer: B
Question: There are 12 slate rocks, 16 pumice rocks, and 8 granite rocks randomly distributed in a certain field. If 2 rocks are chosen at random and without replacement, what is the probability that both rocks will be slate rocks?
Choices:
7/64
11/105
15/127
19/134
Answer: B
Question: If a quarter kg of potato costs 60 yen, how many paise will 200 gm cost?
Choices:
yen 40
yen 50
yen 48
yen 41
Answer: C
Question: After decreasing 24% in the price of an article costs Rs.912. Find the actual cost of an article?
Choices:
1300
1200
1100
1500
Answer: B
Question: There are 50 doors marked with numbers 1 to 50. And there are 50 individuals marked 1 to 50.
An operation on a door is defined as changing the status of the door from open to closed or vice versa. All doors are closed to start with.
Now one at a time one randomly picked individual goes and operates the doors. The individual however operates only those doors which are a multiple of the number he/she is carrying. For e.g. individual marked with number 5 operates the doors marked with the following numbers: 5, 10, 15 ... 50.
If every individual in the group get one turn then how many doors are open at the end?
Choices:
1
2
4
7
Answer: D
Question: A hiker walked for 3 days. She walked 18 miles on the first day, walking 3 miles per hour. On the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. On the third day 5 miles per hour for 6 hours. How many miles in total did she walk?
Choices:
68
58
60
62
Answer: A
Question: A cat leaps 6 leaps for every 5 leaps of a dog, but 2 leaps of the dog are equal to 3 leaps of the cat. What is the ratio of the speed of the cat to that of the dog?
Choices:
4:5
4:1
1:9
3:2
Answer: A
Question: If 20% of certain quantity of work is done by A and the rest 80% by B, the work is completed in 20 days. If 80% of the work is done by A and the remaining 20% by B, then the work is completed in 30 days. How many days are required to complete the work , if A and B work together.
Choices:
11 1/9
12
15
Source: TIME material.
Answer: A
Question: Kate and Danny each have $10. Together, they flip a fair coin 5 times. Every time the coin lands on heads, Kate gives Danny $1. Every time the coin lands on tails, Danny gives Kate $1. After the five coin flips, what is the probability that Kate has more than $10 but less than $15?
Choices:
1/2
12/30
15/32
3/8
Answer: C
Question: How many quarters are equal to 2 dollars?
Choices:
8
12
9
7
Answer: A
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:
19mins
5mins
4mins
12mins
Answer: A
Question: A shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 20% while buying and by 20% while selling. What is his percentage profit?
Choices:
20.22%
21.22%
50%
Can't be calculated
Answer: C
Question: If a quarter kg of potato costs 60 paise, how many paise will 200 gm cost?
Choices:
48 paise
72 paise
28 paise
36 paise
Answer: A
Question: A rectangular plot measuring 90 metres by 60 metres is to be enclosed by wire fencing. If the poles of the fence are kept 5 metres apart, how many poles will be needed ?
Choices:
56
60
58
None of these
Answer: B
Question: A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Choices:
600
700
350
500
Answer: C
Question: A football field is 10800 square yards. If 1200 pounds of fertilizer are spread evenly across the entire field, how many pounds of fertilizer were spread over an area of the field totaling 3600 square yards?
Choices:
400
750
2400
3200
Answer: A
Question: A man took some money for borrowed, for 3 years the total will be Rs.4500 and 5 years it will be Rs.5500/-. Then how much amount he borrowed?
Choices:
s.2500/-
s.2770/-
s.2800/-
s.3000/-
Answer: D
Question: In the following sum, “?”, stands for which digit?
? + 1? + 2? + ?3 + ?1 = 21?
Choices:
5
6
7
8
Answer: D
Question: A circle is circumscribed around a quadrilateral, and the quadrilateral is ABCD, What is the value of w when angle C is 125 degrees?
Choices:
55
65
75
85
Answer: A
Question: If (10^4 * 3.456789)^11 is written as a single term, how many digits would be to the right of the decimal place?
Choices:
18
22
28
36
Answer: B
Question: The average of six numbers is 3.95. The average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two numbers ?
Choices:
4.6
6.5
7.3
None of these
Answer: A
Question: If 6 yrs are subtracted from the present age of John & the remainder is divided by 18, then the presentage of his grandson Anup is obtained. If Anup is 2 years younger to Madan whose age is 5 yrs, then whatis John’s present age?
Choices:
30
60
70
80
Answer: B
Question: A person saved $10 in buying an item on sale. If he spent $200 for the item, approximately how much percent he saved in the transaction?
Choices:
10%
2%
5%
6%
Answer: C
Question: The respective ages of father and his son are 42 and 16 years. In how many years will the father be twice as old as his son ?
Choices:
9 years
10 years
15 years
12 years
Answer: B
Question: At a certain hospital, 75% of the interns receive fewer than 6 hours of sleep and report feeling tired during their shifts. At the same time, 70% of the interns who receive 6 or more hours of sleep report no feelings of tiredness. If 80% of the interns receive fewer than 6 hours of sleep, what percent W of the interns report no feelings of tiredness during their shifts?
Choices:
14
19
20
81
Answer: B
Question: If $100 is invested at x percent simple annual interest for n years, which of the following represents the total amount of interest, in dollars, that will be earned by this investment in the n years?
Choices:
10,000(x/100)^n
100n(x/100)
10,000(1+x/100)^n
10,000n(1+x/100)
Answer: B
Question: A cylindrical container of radius 6 cm and height 15 cm is filled with ice-cream. The whole icecream has to be distributed to 10 children in equal cones with hemispherical tops. If the height of the conical portion is four times the radius of its base, find the radius of the ice-cream cone.
Choices:
2
3
4
5
Answer: B
Question: In Net's hair salon 48% of the customers dye their hair blond, 36% dye their eyebrows blond and 35% straighten their hair. 20% of the customers have none of these three procedures, while 12% take all of these three procedures. What percent of the customers come for exactly 2 of these 3 procedures?
Choices:
9%
12%
15%
21%
Answer: C
Question: A shop owner sells 60mtr of cloth and gains SP of 10 mtrs. Find the gain %?
Choices:
20%
50%
60%
70%
Answer: A
Question: One hour before John started walking from P to Q, a distance of 28 miles, Ann had started walking along the same road from Q to P. Ann walked at a constant speed of 3 miles per hour and John at 2 miles per hour. How many miles had Ann walked when they met?
Choices:
8,4 miles
9 miles
9,6 miles
18 miles
Answer: D
Question: If a fair die is rolled two times, what is the probability that a 3 occurs on at least one roll?
Choices:
125/216
91/216
11/36
36/216
Answer: C
Question: In 1937, the ship of the great sailor SINBAD left an Egyptian port heading Ivory coast at R mile/month .
One month later another ship of the greatest pirate ever CHENG I SAO was 5000 miles due south of the same Egyptian port and heading due north at Y miles/month. Six months later after the leaving of Sinbad’s ship from Egyptian port, how far apart were the ships? [Ivory coast is in the west of Egypt]
Choices:
{ (6R)^2 + (5000-5y)^2 }^1/2
{ (16x)^2 + (5000-7y)^2 }^1/2
{ (7x)^2 + (5200-7y)^2 }^1/2
{ (2x)^2 + (300-7y)^2 }^1/2
Answer: A
Question: The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. What is the period (in years)?
Choices:
2
3
3.5
5
Answer: A
Question: A sum of money becomes 7/6 of itself in 7 years at a certain rate of simple interest. The rate per annum is?
Choices:
50/17
50/19
50/21
50/23
Answer: C
Question: Ashok secured average of 77 marks in 6 subjects. If the average of marks in 5 subjects is 74, how many marks did he secure in the 6th subject?
Choices:
27
92
17
80
Answer: B
Question: In the x-y plane, the area of the region bounded by the graph of |x+y| + |x-y| = 10 is
Choices:
625
16
20
24
Answer: A
Question: On a baseball team, 11 players including Alice want to play 1st base, 2nd base, or 3rd base. Before every game, the coach chooses a name randomly from a bag and this person plays 1st base. Then the coach chooses the next name randomly and this person plays 2nd base. The coach then chooses a third name randomly and this person plays 3rd base. What is the probability that Alice plays 1st, 2nd, or 3rd base?
Choices:
3/8
1/11
2/11
3/11
Answer: D
Question: A can do a piece of work in 6 days and B can do it in 6 days how long will they both work together to complete the work?
Choices:
1/2
3/4
9/11
10/11
Answer: A
Question: The average of first five multiples of 2 is :
Choices:
9
12
15
E
Answer: D
Question: Three gentlemen and three ladies are candidates for two vacancies. A voter has to vote for two candidates. In how many ways can one cast his vote?
Choices:
30
36
15
None
Answer: C
Question: There were two candidates in an election. Winner candidate received 58% of votes and won the election by 288 votes. Find the number of votes casted to the winning candidate?
Choices:
1044
299
257
125
Answer: A
Question: A school has 4 section of Chemistry in Class X having 55, 35, 45 and 42 students. The mean marks obtained in Chemistry test are 50, 60, 55 and 45 respectively for the 4 sections. Determine the overall average of marks per student.
Choices:
52.06
51.25
53.06
None of the above
Answer: A
Question: The tax on a commodity is diminished by 15% and its consumption increased by 10%. The effect on revenue is?
Choices:
6.5
5.5
5.6
4.4
Answer: A
Question: From the set of numbers x, y, t, z, s and w, how many different combinations can we have without the t in them? Ex:. (x,y), (x), (w,z,y,x,s), etc and (x,y)=(y,x)
Choices:
14
15
16
31
Answer: D
Question: A takes twice as much time as B & C takes thrice as much time as B to finish a piece of work. Working together they can finish the work in 18 days. The no. of days need for B to do the work alone is?
Choices:
31 days
33 days
41 days
52 days
Answer: B
Question: A fort had provision of food for 150 men for 45 days. After 15 days, 10 men left the fort. The number of days for which the remaining food will last, is:
Choices:
32
42
54
45
Answer: A
Question: The simple interest on a sum of money will be Rs.600 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
Choices:
6677
1200
3356
3235
Answer: B
Question: Train A and Train B began traveling towards each other from opposite ends of a 500-mile long track at 1:00 PM. If Train A traveled at 35 miles per hour and Train B traveled at 15 miles per hour, at what time did the trains meet?
Choices:
6:00 PM
7:20 PM
11:00 PM
9:20 PM
Answer: C
Question: Five Siblings are to be seated in a round table for lunch. If Daniel and David are among the five siblings, what is the probability that they sit next to each other
Choices:
10%
15%
20%
25%
Answer: A
Question: During a sale, the price of a pair of shoes is marked down 10% from the regular price. After the sale ends, the price goes back to the original price. What is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes?
Choices:
10%
11%
15%
90%
Answer: B
Question: Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.76800?
Choices:
97200
27772
29889
22312
Answer: A
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 6 boys when a boy gets any no. of prizes?
Choices:
216
289
240
200
Answer: A
Question: What distance will be covered by a bus moving at 72 kmph in 30 seconds?
Choices:
516.66 m
250 m
616.66 m
716.66 m
Answer: A
Question: A certain team has 9 members, including Joey. A three-member relay team will be selected as follows: one of the 9 members is to be chosen at random to run first, one of the remaining 8 members is to be chosen at random to run second, and one of the remaining 7 members is to be chosen at random to run third. What is the probability that Joey will be chosen to run second or third?
Choices:
1/132
1/110
2/9
1/9
Answer: C
Question: Stephanie, Regine, and Brian ran a 20 mile race. Stephanie and Regine's combined times exceeded Brian's time by exactly 2 hours. If nobody ran faster than 8 miles per hour, who could have won the race?
I. Stephanie, Brian
II. Regine
III.Stephanie
Choices:
II only
III only
I or II only
II, or III only
Answer: D
Question: Gretzky Street begins at Orr Street and runs directly east for 5.6 kilometers until it ends when it meets Howe Street. Gretzky Street is intersected every 350 meters by a perpendicular street, and each of those streets other than Orr Street and Howe Street is given a number beginning at 1st Street (one block east of Orr Street) and continuing consecutively (2nd Street, 3rd Street, etc...) until the highest-numbered street one block west of Howe Street. What is the highest-numbered street that intersects Gretzky Street?
Choices:
13th
14th
15th
16th
Answer: C
Question: The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is:
Choices:
258
750
693
896
Answer: B
Question: Ten years ago, P was half of Q in age. If the ratio of their present ages is 3:4, what will be the total of their present ages
Choices:
35
45
25
26
Answer: A
Question: If the magician is not using a trick deck of cards, what is the possibility that he will draw a Jack or Diamond from a very well-shuffled deck of cards?
Choices:
4 in 13
1 in 4
4 in 52
4 in 12
Answer: A
Question: A number is said to be prime saturated if the product of all the different positive prime factors of q is less than the square root of q. What is the greatest two digit prime saturated integer ?
Choices:
98
97
96
95
Answer: C
Question: Income and expenditure of a person are in the ratio 5 : 4. If the income of the person is Rs. 20000, then find his savings?
Choices:
Rs.4000
Rs.3639
Rs.3632
Rs.3602
Answer: A
Question: The bus uses 80 gallons of fuel to fly 320 miles. At this rate, how many gallons of fuel are needed for a 800 mile bus?
Choices:
300
150
200
50
Answer: C
Question: A dish of Babette’s mango surprise consists entirely of mangoes, sunflower seeds, agave nectar, and assorted other fruits. If a serving of the dish contains 8 oz. of mango, 6 oz. of sunflower seeds, and 9 oz. of agave nectar, and the ratio of mangoes to sunflower seeds is halved, what is the ratio of mangoes to the rest of the ingredients in the new serving of the dish?
Choices:
13 : 24
3 : 6
5 : 13
It cannot be determined from the information given here.
Answer: D
Question: The cost of 2 chairs and 3 tables is Rs.1300. The cost of 3 chairs and 2 tables is Rs.1200. The cost of each table is more than that of each chair by?
Choices:
287
277
188
100
Answer: D
Question: The average age of applicants for a new job is 30, with a standard deviation of 7. The hiring manager is only willing to accept applications whose age is within one standard deviation of the average age. What is the maximum number of different ages of the applicants?
Choices:
14
15
18
30
Answer: B
Question: Two trains of length 160 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. In how much time will the trains cross each other?
Choices:
80/7 sec
112/7 sec
120/7 sec
50/7 sec
Answer: B
Question: If -3 < x < 0, which of the following must be true?
I. x^5 < x^2
II. x^5 < 2 – x
III. x^4 < x^2
Choices:
I and II only
II and III only
I and III only
I, II and III
Answer: A
Question: In Orange County, one sixth of the people are gathering mushrooms and one seventh of the people are collecting apples. What can be the number of people in Orange County?
Choices:
155
160
168
175
Answer: C
Question: A man can row his boat with the stream at 6 km/h and against the stream in 2 km/h. The man's rate is?
Choices:
2 kmph
5 kmph
7 kmph
8 kmph
Answer: A
Question: If M and N are positive integers that have remainders of 1 and 3, respectively, when divided by 9, which of the following could NOT be a possible value of M+N?
Choices:
86
31
22
13
Answer: A