antoine-444/aqua_rat_dataset huggingface dataset:
Question: The banker's discount on a sum of money for 3/2 years is Rs. 120. The true discount on the same sum for 2 years is Rs.150. What is the rate per cent?
Choices:
3(1/3)%
3(2/3)%
4(2/3)%
None of these
Answer: A
Question: The average of 7 consecutive numbers is 20. The largest of these numbers is :
Choices:
22
23
24
25
Answer: B
Question: X can do a piece of work in 40days. He works at it for 8days and then Y finished it in 20 days. How long will Y take to complete the work?
Choices:
12
25
18
20
Answer: B
Question: Which of the following are divisible by both 2 and 3?
I. 234,124,422
II. 88,865,544,264
III. 5,555,554,674
Choices:
I, II​ & III
II and III
II Only
I​ and III
Answer: A
Question: How many of the positive factors of 75 are not factors of 95?
Choices:
1
2
3
4
Answer: D
Question: In a room filled with 7 people, 4 people have exactly 1 sibling in the room and 3 people have exactly 1 siblings in the room. If two individuals are selected from the room at random, what is the probability that those two individuals are NOT siblings?
Choices:
3/7
4/7
5/7
2/7
Answer: D
Question: Which value of x does statisfy the inequality 2x2 + x – 3 < 0?
Choices:
-3⁄2 < x < 1
x > 1
x < -2⁄5
None of these
Answer: A
Question: One half of a two digit number exceeds its one third by 4. What is the sum of the digits of the number?
Choices:
B)6
C)7
D)9
E)11
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:
1532
1349
1423
1543
Answer: B
Question: If the sum of the 4th term and the 12th term of an arithmetic progression is 16, what is the sum of the first 15 terms of the progression?
Choices:
100
105
120
110
Answer: C
Question: A can complete a project in 20 days and B can complete the same project in 30 days. If A and B start working on the project together and B quits 5 days before the project is completed, in how many days total will the project be completed?
Choices:
12
14
16
18
Answer: B
Question: Compound interest earned on a sum for the second and the third years are Rs.12000 and Rs.13800 respectively. Find the rate of interest?
Choices:
15% p.a.
20% p.a.
24% p.a.
None of these.
Answer: A
Question: If a population of women in a town is 70% of men . What is the population of men as a % of population of women ?
Choices:
B)144%
C)50%
D)65%
E)110%
Answer: A
Question: S is the set of all fractions defined by the formula n/(n + 1), where n is a positive integer less than 20. What is the product Z of all the fractions that are in S?
Choices:
1) 1/20
3) 1/2
4) 19/40
5) 19/20
Answer: A
Question: Median T of price of the car is 52,000. which could be the median of the other two.
35000, 44000, x, y, 57000.
Choices:
47000
48000
51,000
56,000
Answer: D
Question: The area of the party hall of the kitchen is 50 m2 that of a longer wall 10 m2 and of the shorter wall 5 m2, find the edge of the new cube?
Choices:
150 m2
90 m3
40 m3
50 m3
Answer: D
Question: If x is an integer and 6.1 × 10^x is less than 620 what is the greatest possible value for x?
Choices:
2
5
4
3
Answer: A
Question: The game of blackjack is played with a deck consisting of 13 cards (one of each of the numbers 2-10, one jack, one queen, one king, and one of ace) in each of four suits: clubs, diamonds, hearts, and spades.
In a game of blackjack, if your first card is a spade, what are the E odds that it is an ace?
Choices:
1/26
1/13
1/4
5/13
Answer: B
Question: A bag contains 5 red, 4 blue and M green
balls if the probability of getting both the balls
green, when two balls are selected at
random is 1/7, find M
Choices:
2
3
4
5
Answer: A
Question: At a conference table, 7 employees gather around a table. One of the employees is the manager and he sits at the head of the table. Two of the employees sit on either side of the table. How many different seating arrangements can be made with these 7 employees?
Choices:
750
720
760
790
Answer: B
Question: How much interest can a person get on Rs. 8200 at 17.5% p.a. simple interest for a period of two years and six months?
Choices:
3587.98
3587.5
3587.29
3572.5
Answer: B
Question: In a barrel of juice there is 50 liters; in a barrel of beer there are 80 liters. If the price ratio between barrels of juice to a barrel of beer is 3:4, what is the price ratio between one liter of juice and one liter of beer?
Choices:
2:1.
3:1.
4:3.
6:5
Answer: D
Question: A single discount equivalent to the discount series of 20%, 10% and 25% is?
Choices:
31.7
31.6
31.5
46
Answer: D
Question: If a copier makes 2 copies every 4 seconds, then continues at this rate, how many minutes will it take to make 8,000 copies?
Choices:
266.67
140
135
141
Answer: A
Question: There are 32 students in a certain geometry class. If two thirds of the students are boys and three fourths of the boys are under six feet tall, how many boys in the class are under six feet tall?
Choices:
12
16
24
27
Answer: B
Question: Given the equation e=-g^4, which of the following must be true?
I. If g is negative then e is negative.
II. e is negative.
III. g is non-negative.
Choices:
I only
II and III only
III only
I and II only
Answer: A
Question: A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors?
Choices:
¹²C₇ * 10
¹²C₇ * ¹⁰C₅
12 * ¹⁰C₅
None of these
Answer: B
Question: The difference between compound interest and simple interest on a certain amount of money at 5% per annum for 2 years is 16. Find the sum :
Choices:
7500
5000
6400
None of these
Answer: C
Question: Stacy has a 12 page history paper due in 12 days. How many pages per day would she have to write to finish on time?
Choices:
8
10
1
6
Answer: C
Question: Look at this series: VI, 10, V, 11, __, 12, III, ... What number should fill the blank?
Choices:
IV
IX
14
None
Answer: A
Question: Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
Choices:
7
8
6
10
Answer: D
Question: The sum of two numbers is 50. Their difference is 10. The bigger number is
Choices:
25
30
35
45
Answer: B
Question: A bowl was filled with 10 ounces of water, and 0.08 ounce of the water evaporated each day during a 50-day period. What percent of the original amount of water evaporated during this period?
Choices:
0.04%
40%
4%
40%
Answer: B
Question: There are 3 department available in XYZ company,namely Finance, Marketing, HR.The total expenditure of the company $69700.the ratio of department expenditure are 11:14:16.Then find out the total expenditure of marketing department?
Choices:
$28900
$27250
$15600
$23800
Answer: D
Question: Barbata invests $2400 in the National Bank at 5%. How much additional money must she invest at 8% so that the total annual income will be equal to 6% of her entire investment?
Choices:
1200
1000
3600
2400
Answer: A
Question: Ramu bought an old car for Rs. 45000. He spent Rs. 12000 on repairs and sold it for Rs. 80000. What is his profit percent?
Choices:
17%
40%
58%
13%
Answer: B
Question: A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?
Choices:
1 kmph
98 kmph
6 kmph
4 kmph
Answer: A
Question: A hall 36m long and 15m broad is to be paved with stones, each measuring 5dm by 5 dm. The number of stones required is:
Choices:
1800
18
2160
1.8
Answer: C
Question: Using all the letters of the word "LETTERS", how many words can be formed, which begin with L and end with S?
Choices:
120
160
100
124
Answer: A
Question: Find the invalid no.from the following series 2,3,12,37,86,166,288
Choices:
3
166
288
37
Answer: B
Question: How many numbers amongst the numbers 8 to 52 are there which are exactly divisible by 5 but not by 3?
Choices:
1
2
3
More than 3
Answer: D
Question: In one hour a boat goes 14 km long the stream and 6 km against the stream.The speed of the boat in still water is?
Choices:
10
12
11
13
Answer: A
Question: In the infinite sequence 27, 36, 45, 54, 63, . . . , where each term is 9 greater than the previous term, the 55th term is
Choices:
513
198
963
741
Answer: A
Question: If the positive integer y is divisible by 3, 8, and 16, then which of the following must y be divisible by?
I. 21
II. 32
III. 48
Choices:
III only
I and II only
II and III only
I, II, and III
Answer: A
Question: An article is bought for Rs.700 and sold for Rs.900, find the gain percent?
Choices:
33 8/3%
28 4/7%
35 1/3%
32 1/3%
Answer: B
Question: What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 57?
Choices:
s.3876
s.3942
s.3965
s.3929
Answer: A
Question: The paragraph can start only with the sentence E. The opening words of the sentence of ‘B’ – ‘these two parties’ is a continuation of the last words of the sentence E– ‘two parties’. There are only two options with EB; in the option 4, D follows B; but whom the opening pronoun ‘he’ of D does refer to? F is the further explanation of B. Hence EBFCAD.
Choices:
77
26
99
171
Answer: A
Question: 1604 x 1604 = ?
Choices:
A)2572816
C)3624316
D)3625116
E)3625216
Answer: A
Question: Arrange 4boys and 4girls in a row such that all the 4 girls are together.
Choices:
1440
2880
3200
3260
Answer: B
Question: If s and t are positive integers such that s/t = 43.18, which of the following could be the remainder when s is divided by t ?
Choices:
17
54
20
47
Answer: B
Question: he number of sequences in which 8 players can throw a ball, so that the youngest player may not be the last is?
Choices:
23770
43200
35280
27820
Answer: C
Question: Find the number of square tiles to cover the floor of a room measuring 6 m * 11 m leaving 0.50 m space around the room. A side of square tile is given to be 50 cms?
Choices:
476
200
208
276
Answer: B
Question: The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
Choices:
299
322
345
354
Answer: B
Question: The sector of a circle has radius of 14 cm and central angle 108o. Find its perimeter?
Choices:
54.4cm
60cm
65cm
70cm
Answer: A
Question: A number increased by 25% gives 520. The number is?
Choices:
316
616
516
416
Answer: D
Question: What percent is 520 gm of 1 kg?
Choices:
40%
52%
8%
12%
Answer: B
Question: In 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older than B, the present age of B is :
Choices:
29
39
49
None of these
Answer: B
Question: Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?
Choices:
12
18
19
11
Answer: B
Question: An amount of Rs. 85000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/4 %, then the amount invested in each share was?
Choices:
s. 53125; Rs. 31875
s. 72500; Rs. 27500
s. 82500; Rs. 17500
s. 72500; Rs. 17500
Answer: A
Question: Of the three numbers, the sum of the sum of the first two is 45; the sum of the second and the third is 55 and the sum of the third and thrice the first is 90. the third number is :
Choices:
25
30
3
None of these
Answer: B
Question: In a two digit number, the digit in the units place is three times the digit in ten's place and sum of the digits is equal to 8. What is the number?
Choices:
26
32
36
38
Answer: A
Question: If 8m − n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m?
Choices:
3m
6m
m/5
6m/5
Answer: A
Question: Given 2 negative numbers, the greater of the two is quadrupled, the difference between it and the lesser number is 14. what is the greater number if the product of both numbers is 30?
Choices:
-8
-4
-1
-5
Answer: D
Question: A merchant marks goods up by 75% and then offers a discount on the marked price. The profit that the merchant makes after offering the discount is 22.5%. What % discount did the merchant offer?
Choices:
25%
30%
35%
40%
Answer: B
Question: A cube with its sides numbered 1 through 6 is rolled twice, first landing on a and then landing on b. If any roll of the cube yields an equal chance of landing on any of the numbers 1 through 6, what is the probability W that a + b is prime?
Choices:
1/12
5/12
7/18
4/9
Answer: B
Question: Calculate the value of 2.34 x 10^7 ?
Choices:
2340000
23400000
23400
234000
Answer: B
Question: A string of 30 light bulbs is wired in such a way that if any individual light bulb fails, the entire string fails. If for each individual light bulb the probability of failing during time period T is 0.1, what is the probability that the string of light bulbs will fail during the time period T?
Choices:
(0.1)^30
1 - (0.1)^30
(0.93)^30
1 - (0.90)^30
Answer: D
Question: In a class of 70 students, 10 did not opt for math. 5 did not opt for science and 3 did not opt for either. How many students of the class opted for both math and science?
Choices:
25
27
37
38
Answer: D
Question: A coin is tossed live times. What is the probability that there is at the least one tail?
Choices:
31/32
31/31
61/38
31/35
Answer: A
Question: John bought a shirt on sale for 25% off the original price and another 25 % off the discounted price. If the final price was $19, what was the price before the first discount?
Choices:
$34.31
$28.44
$67.54
$33.77
Answer: D
Question: What will be the ratio of simple interest earned by certain amount at the same rate of interest for 2 years and that for 12 years?
Choices:
1 : 3
1 : 6
3 : 1
2 : 1
Answer: B
Question: The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 18%, then the cost price of the article is:
Choices:
474.6
222
297
111
Answer: A
Question: A certain car traveled twice as many miles from Town A to Town B as it did from Town B to Town C. From Town A to Town B, the car averaged 40 miles per gallon, and from Town B to Town C, the car averaged 50 miles per gallon. What is the average miles per gallon that the car achieved on its trip from Town A through Town B to Town C?
Choices:
42.85
35
41
39
Answer: A
Question: The cost price of a Rs. 100 stock at 4 discount, when brokerage is 15% is
Choices:
Rs. 96.2
Rs. 97.25
Rs. 97.5
Rs. 97.75
Answer: A
Question: If a+b+c=13, a2+b2+c2=69, then find ab+bc+ca
Choices:
50
69
75
89
Answer: A
Question: Set S consists of integers {1,3,5,7}. If two numbers are chosen from set S at random, what is the probability that the product of 2 numbers is more than 15?
Choices:
1/3
1/5
1/6
2/3
Answer: A
Question: Which of the numbers below is the odd one out
1,65,190,406,749,950,1261.
Choices:
406
950
749
1261
Answer: B
Question: At a florist shop on a certain day, all corsages sold for either $25 or $40. If 8 of the corsages that sold for $30 had instead sold for $20, then the store's revenue from corsages that day would have been reduced by 40 percent. What was the store's actual revenue from corsages that day?
Choices:
$400
$600
$800
$300
Answer: D
Question: Solve the equation for x : 2x - 21 + 3x = 4 + 9 - x
Choices:
5
5.6
9.2
3.1
Answer: B
Question: Pipe A can fill a tank in 45 hrs and pipe B can fill it in 36 hrs. If both the pipes are opened in the empty tank. In how many hours will it be full?
Choices:
15 hr
20 hr
25 hr
28 hr
Answer: B
Question: Find a sum for first 6 prime numbers?
Choices:
28
29
32
41
Answer: D
Question: f(x) is a function such that f(2x + 1) = 2f(x) + 1 for all real numbers x and f(0) = 2. Find the value of f(3).
Choices:
10
11
12
15
Answer: B
Question: The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs.144. Find the principal?
Choices:
2997
3600
2799
7719
Answer: B
Question: A computer program generates a single digit by a random process, according to which the probability of generating any digit is directly proportional to the reciprocal of one more than that digit. If all digits are possible to generate, then the probability E of generating an odd prime digit is between
Choices:
1/6 and 1/3
1/3 and 1/2
1/2 and 2/3
2/3 and 5/6
Answer: A
Question: A rhombus has area 432 sq m, one diagonal is 36 cm. find other diagonal ?
Choices:
2400m
2600m
2700m
2900m
Answer: A
Question: In the Forestside summer camp there are 50 children. 90% of the children are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of children in the camp. How many more boys must she bring to make that happen?
Choices:
50.
40.
30.
25.
Answer: A
Question: Sandy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum. Sandy attempts 30 sums and obtains 65 marks. How many sums did Sandy get correct?
Choices:
21
23
25
27
Answer: C
Question: Length of a rectangular plot is 26 mtr more than its breadth. If the cost of fencin gthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?
Choices:
63 m
73 m
83 m
93 m
Answer: A
Question: A dress on sale in a shop is marked at $D. During the discount sale its price is reduced by 15%. Staff are allowed a further 10% reduction on the discounted price. If a staff member buys the dress what will she have to pay in terms of D ?
Choices:
0.76D
0.765D
0.775D
0.805D
Answer: B
Question: George is 8 years more than Christopher and Ford is 2 years younger than Christopher. The sum of their ages is 60. Find the ages of Christopher.
Choices:
18
20
21
22
Answer: A
Question: The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 7 months, find for how much time did Q invest the money?
Choices:
10
18
16
14
Answer: D
Question: How many 3-digit numerals end with a digit that represents a prime number?
Choices:
80
160
180
400
Answer: D
Question: A person was asked to state his age in years. His reply was , "Take my age 3 years hence, multiply it by 4 and subtract 4 times my age 3 years ago and you will know how old I am." What was the age of the person ?
Choices:
92
27
24
19
Answer: C
Question: A comittee of three people is to be chosen from four married couples. What is the number of different comittees that can be chosen if two people who are married to each other cannot both serve on the comittee.
Choices:
24
26
30
32
Answer: D
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 800 grams per kg, what is his percent?
Choices:
25
66
77
91
Answer: A
Question: A 250 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
Choices:
240 m
250 m
320 m
330 m
Answer: B
Question: In the x- y plane, there are 4 points (0,0), (0,4), (4,4), and (4,0). If these 4 points makes a rectangle, what is the probability that x+y<4?
Choices:
1/2
1/4
1/5
1/6
Answer: A
Question: If the area of circle is 684 sq cm then its circumference?
Choices:
88
93
266
12
Answer: B
Question: At a certain college there are three as many English majors as history majors and two times as many English majors as mathematics majors. What is the ratio of the number of history majors to the number of mathematics majors?
Choices:
3 to 2
1 to 3
1 to 5
2 to 3
Answer: D
Question: If the length of the diagonal of a square is 20cm,then its perimeter must be
Choices:
40
27
29
11
Answer: A
Question: The simple form of the ratio 5/8:3/2 is?
Choices:
5:8
5:9
5:3
5:1
Answer: A
Question: What is the tens' digit T of the sum of the first 40 terms of 1, 11, 111, 1111, 11111, 111111, ...?
Choices:
T=3
4
8
9
Answer: A
Question: The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
Choices:
4 years
11 years
15 years
22 years
Answer: A
Question: Jane makes toy bears. When she works with an assistant, she makes 80 percent more bears per week and works 20 percent fewer hours each week. Having an assistant increases Jane’s output of toy bears per hour by what percent?
Choices:
80%
100%
180%
200%
Answer: C
Question: What should come in place of the question-mark (?) in the following number series?
5690 5121 4552 3983 3414 2845?
Choices:
2276
2746
2356
None of these
Answer: A
Question: An old truck uses 16 gallons of diesel fuel in traveling 224 miles. In order for the truck to travel the same distance using 8 gallons of diesel fuel, by how many miles per gallon must the truck’s fuel mileage be increased?
Choices:
8
14
12
24
Answer: B
Question: Jamshid can paint a fence in 50 percent less time than Taimour can when each works alone. When they work together, they can paint the fence in 3 hours. How long would it take Taimour to paint the fence alone?
Choices:
9 hours
14 hours
24 hours
32 hours
Answer: A
Question: How many prime numbers K exist such that 90 < K < 106 and K is a factor of 99999919?
Choices:
2. One
3. Two
4. Three
5. More than three
Answer: B
Question: Twelve percent of the programmers in a startup company weigh 200 pounds or more. Twenty-five percent of the programmers that are under 200 pounds in that same company weigh 100 pounds or less. What percent of the programmers in the startup company weigh between 100 and 200 pounds?
Choices:
20%
25%
66%
75%
Answer: C
Question: Equal weights of two alloys containing tin, copper and lead in the ratio 5:2:7 and 8:11:9 are melted and mixed together. What is the ratio of tin, copper and lead in the resultant alloy?
Choices:
33:91:81
17:28:27
18:15: 23
20:15: 22
Answer: C
Question: Working simultaneously and independently at an identical constant rate, 10 machines of a certain type can produce a total of x units of product P in 4 days. How many of these machines, working simultaneously and independently at this constant rate, can produce a total of 3x units of product P in 6 days?
Choices:
15
18
20
22
Answer: C
Question: A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?
Choices:
2
3
4
5
Answer: B
Question: A trader sells 85 meters of cloth for $8925 at the profit of $15 per metre of cloth. What is the cost price of one metre of cloth?
Choices:
$78
$90
$86
$77
Answer: B
Question: If a and n are integers, and a^3=360n, then n must be divisible by which of the following?
Choices:
6
25
27
60
Answer: B
Question: Some persons can do a piece of work in 12 days. Two times the number of such persons will do half of that work in
Choices:
7 days
9 days
3 days
2 days
Answer: C
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is ?
Choices:
3 : 2
3 : 1
4 : 7
2 : 3
Answer: A
Question: Adam can do a job in 15days, John can do the same job in 20days. If they work together for 4days on this job. What fractionof job is incomplete ?
Choices:
4/11
13/13
8/15
9/11
Answer: C
Question: In how many ways Chief Minister and Minister be elected from a team of 6 members?
Choices:
20
36
30
32
Answer: C
Question: A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 2 min, then the length of the tunnel is?
Choices:
1800
500
297
435
Answer: A
Question: Otto and Han are driving at constant speeds in opposite directions on a straight highway. At a certain time they are driving toward each other and are 80 miles apart. One and a half hours later, they are again 80 miles apart, driving away from each other. If Otto drives at a speed of m miles per hour, then, in terms of m, Han drives at a speed of how many miles per hour?
Choices:
a) 106.67-m
c) 80-2m
d) 120-m
e) 40-m/2
Answer: A
Question: The no. of girls in a class are 7times the no. of boys, which value cannever be the of total students?
Choices:
35
30
40
42
Answer: B
Question: The ratio of boarders to day students at a school was originally 5 to 12. However, after a number of new boarders join the initial 150 boarders, the ratio changed to 1 to 2. If no boarders became day students and vice versa, and no students left the school, how many new boarders joined the school?
Choices:
30
70
80
90
Answer: A
Question: A certain number of horses and an equal number of men are going somewhere. Half of the owners are on their horses' back while the remaining ones are walking along leading their horses. If the number of legs walking on the ground is 70, how many horses are there ?
Choices:
12
14
16
18
Answer: B
Question: Look at this series: 544, 509, 474, 439, ... What number should come next?
Choices:
408
306
507
404
Answer: D
Question: In a rectangular axis system, what is the area of a parallelogram with the coordinates: (5,7), (12,7), (2,3), (9,3) ?
Choices:
21
35.
49.
52.
Answer: A
Question: A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
Choices:
7.2
6.1
7.2
8.2
Answer: A
Question: A photo-mat shop charges $0.50 for the first photo inside a film, and 40% cents less for each additional photo. How many photos can we develop with $24 if each film contains 36 photos?
Choices:
2 films and 6 photos
5 films and 14 photos
6 films and 4 photos
6 films and 28 photos
Answer: A
Question: In the Biotechnology class of 2000, there were Q graduates. 32 of the graduates found a job, 45 continued on to their second degree and 13 did both. If only 9 people didn't do both, What is Q equal to?
Choices:
71.
73.
75.
76.
Answer: B
Question: The least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is
Choices:
1683
2523
3363
None of these
Answer: A
Question: A train is running at a speed of 40 km/hr and it crosses a post in 18 seconds. What is the length of the train?
Choices:
400 m
200 m
100 m
700 m
Answer: B
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective.
Choices:
1/127
1/125
1/121
1/126
Answer: D
Question: The price of a book is increased from $300 to $330. What is the % of increase in its price?
Choices:
10%
40%
50%
60%
Answer: A
Question: Baseball's World Series matches 2 teams against each other in a best-of-seven series. The first team to win four games wins the series and no subsequent games are played. If you have no special information about either of the teams, what is the probability y that the World Series will consist of fewer than 7 games?
Choices:
25%
31.25%
68.75%
75%
Answer: C
Question: For a finite sequence of non zero numbers, the number of variations in the sign is defined as the number of pairs of consecutive terms of the sequence for which the product of the two consecutive terms is negative. What is the number of variations in sign for the sequence -1, -3, 2,-5, 4, -6,10,-3?
Choices:
6
3
4
5
Answer: A
Question: The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Choices:
4
6
7
8
Answer: A
Question: Elvin's monthly telephone bill is the sum of the charge for the calls he made during the month and a fixed monthly charge for Internet service. Elvin's total telephone bill for January was $40 and Elvin's total telephone bill for February was 76$. If Elvin's charge for the calls he made in February was twice the charge for the calls he made in January, what is Elvin's fixed monthly charge for Internet service?
Choices:
$10
$14
$4
$28
Answer: C
Question: On sport’s day, if 12 children were made to stand in each column, 98 columns could be formed. If 24 children were made to stand in a column, how many columns could be formed ? After a certain music being played the plan was that the children have to stand in concentric circles such that the innermost circle will have one student, the next circle will have two students, the third circle will have 3 students and so on. How many circles will be formed in this manner.
Choices:
48
50
29
19
Answer: A
Question: How many 5 no. digit no. can be formed with digits 1,2,3,4,5,6 which are divisible by 4 and digits not repeated
Choices:
168
192
186
none
Answer: B
Question: If log3N+log9Nlog3N+log9N is whole number, then how many numbers possible for N between 100 to 100?
Choices:
1, 9, 81
1, 9, 88
1, 9, 22
1, 9, 11
Answer: A
Question: The number of degrees that the hour hand of a clock moves through between noon and 2.30 in the afternoon of the same day is
Choices:
278
75
978
27
Answer: B
Question: 6000, 1200, 300, 60...
Choices:
15
20
36
46
Answer: A
Question: Which of the following describes all values of x for which 9-x^2 ≥ 0 ?
Choices:
x ≤ -1
0 ≤ x ≤ 1
x ≤ -1 or x ≥ 1
-3 ≤ x ≤ 3
Answer: D
Question: A walks with a speed of 6 km/hr and after 5 hr of his start, B starts running towards A at a speed of 8 km/hr. At what distance from start will B catch A.
Choices:
110
120
140
None of above
Answer: B
Question: The surface of a cube is 150sq cm. Find its volume?
Choices:
9cc
125cc
4cc
6cc
Answer: B
Question: The sum of four consecutive even numbers is 292. What would be the smallest number?
Choices:
27
70
28
11
Answer: B
Question: The present population of a town is 3456. Population increase rate is 20% p.a. Find the population of town before 2 years?
Choices:
2400
3500
3600
2050
Answer: A
Question: Average of 10 matches is 32, How many runs one should should score to increase his average by 3 runs.
Choices:
A)65
C)78
D)80
E)88
Answer: A
Question: Walking 4/3 of his usual rate, a boy reaches his school 4 min early. Find his usual time to reach the school?
Choices:
16
27
28
20
Answer: A
Question: The population of a town increases by 12% during first year and decreased by 10% during second year. If the present population is 50,400, what it was 2 years ago?
Choices:
35,000
50,000
60,000
none of these
Answer: B
Question: A bag contains 10 red jellybeans and 10 blue jellybeans. If 3 jellybeans are removed one at a time, at random and are not replaced, what is the probability Y that all 3 jellybeans removed from the bag are blue?
Choices:
2/19
1/8
3/20
3/10
Answer: A
Question: Rs.2500 is divided into two parts such that if one part be put out at 5% simple interest and the other at 6%, the yearly annual income may be Rs.140. How much was lent at 5%?
Choices:
1300
1200
1000
5000
Answer: C
Question: An express traveled at an average speed of 100 km/hr, stopping for 3 min after every 75 kn. How long did it take to reach its destination 600 km from the starting point?
Choices:
6 hrs 21 min
6 hrs 32 min
6 hrs 27 min
6 hrs 23 min
Answer: A
Question: Bert left the house with N dollars. He spent 1/3 of this at the hardware store, then $7 at the dry cleaners, and then half of what was left at the grocery store. When he got home, he had $10.50 left in his pocket. What was the value of N?
Choices:
$42
$52
$60
$68
Answer: A
Question: The average weight of 49 students in a class is 52 kg. 5 of them whose average weight is 48 kg leave the class and other 5 students whose average weight is 54 kg join the class. What is the new average weight (in kg) of the class ?
Choices:
52 30/49
52 1⁄49
43.42
None of these
Answer: A
Question: Seven children â€” A, B, C, D, E, F, and G â€” are going to sit in seven chairs in a row. Child A has to sit next to both B & G, with these two children immediately adjacent to here on either side. The other four children can sit in any order in any of the remaining seats. How many possible configurations are there for the children?
Choices:
240
720
1440
3600
Answer: A
Question: Four different objects 1, 2, 3, 4 are distributed at random in four places marked 1, 2, 3, 4. What is the probability that none of the objects occupy the place corresponding to its number?
Choices:
3/8
1/2
5/8
1/8
Answer: A
Question: In order to fulfill a local school’s request for x cakes, a parents agreed to each bake an equal number of cakes. If p of the parents did not bake any cakes, which of the following represents the additional number of cakes that each of the other parents had to bake in order for the school’s request for x cakes to be fulfilled?
Choices:
px/(a(a-p))
px
pxa
px(p-a)
Answer: A
Question: By selling a watch for Rs.720/-, a man loses 20% what is that watch cost price?
Choices:
s. 700/-
s. 800/-
s. 850/-
s. 900/-
Answer: D
Question: What is the difference between local value & face value of 6 in the numeral 65793?
Choices:
58956
58994
59894
59994
Answer: D
Question: Calculate the speed of a boat in still water (in km/hr) if in one hour, the boat goes 10 km/hr downstream and 4 km/hr upstream.
Choices:
7 kmph
9 kmph
7 kmph
6 kmph
Answer: A
Question: Let f(x) = x^2 + bx + c. If f(6) = 0 and f(-2) = 0, then b + c =
Choices:
15
-16
-21
-24
Answer: B
Question: If 9^y = 3^16, what is y?
Choices:
3
4
6
8
Answer: D
Question: A bus started its journey from Mumbai and reached Pune in 44min with its average speed of 50 km/hr. If the average speed of the bus is increased by 5km/hr, how much time will it take to cover the same distance?
Choices:
30 min
45 min
40 min
70 min
Answer: C
Question: The last time Rahul bought Diwali cards, he found that the four types of cards that he liked were priced Rs.9.00, Rs.7.00, Rs.4.50 and Rs.5.50 each. As Rahul wanted 30 cards, he took five each of two kinds and ten each of the other two, putting down the exact number of 20 rupees notes on the counter payment. How many notes did Rahul give?
Choices:
9
10
9
13
Answer: C
Question: A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.76 less, he could have gained 25%. What is the cost price?
Choices:
s.380
s.375
s.350
s.300
Answer: A
Question: If the price of petrol increases by 25% and Raj intends to spend only an additional 15% on petrol, by how much will he reduce the quantity of petrol purchased?
Choices:
12%
8%
16%
None of these
Answer: B
Question: In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
Choices:
209
212
211
200
Answer: A
Question: During one year, the population of town increased by 5% . If the total population is 9975 at the end of the second year , then what was the population size in the beginning of the first year ?
Choices:
7500
5000
20000
10000
Answer: D
Question: At Didymus Corporation, there are just two classes of employees: silver and gold. The average salary of gold employees is $50,000 higher than that of silver employees. If there are 120 silver employees and 160 gold employees, then the average salary for the company is how much higher than the average salary for the silver employees?
Choices:
$28,000
$32,000
$36,000
$40,000
Answer: A
Question: In how many ways can a Chief Minister and a Vice Minister be elected from a team of 10 members?
Choices:
90
100
110
120
Answer: A
Question: 250% of x is increased by 250% to become 30 . what is the value of x?
Choices:
3.42
4.6
4.8
6.6
Answer: A
Question: (565945 x 121) = ?
Choices:
68463813
68479345
68463814
68463814
Answer: B
Question: Company ABC imported 10,500 widgets made of either brass or aluminum. The widgets are painted blue, red or green. If 10 percent of the widgets are made of brass and of those 30 percent are painted green and 40 percent are painted red how many brass widgets painted blue were imported?
Choices:
840
315
1680
2100
Answer: B
Question: A, B and C enter into a partnership with a capital in which A's contribution is Rs. 10,000. If out of a total profit of Rs. 1000, A gets Rs. 500 and B gets Rs. 300, then C's capital is :
Choices:
4000
2667
2887
1899
Answer: A
Question: Find out the square of a number which when doubled exceeds its one fifth by 9 ?
Choices:
25
19
26
17
Answer: A
Question: If 5 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is?
Choices:
8:5:4
8:5:12
8:5:14
8:5:11
Answer: A
Question: Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D parked 16 cars for 15 days. If A paid Rs. 1125 as rent for parking his cars, what is the total rent paid by all the four agencies?
Choices:
Rs. 4800
Rs. 5250
Rs. 6150
None of these
Answer: C
Question: Anne bought doughnuts for a class breakfast party. She bought 5 chocolate doughnuts, 6 coconut doughnuts, and 11 jam-filled doughnuts. How many doughnuts did Anne buy in all?
Choices:
22
39
21
11
Answer: A
Question: Find the average of first 4 multiples of 15?
Choices:
12.6
22.5
31.3
37.5
Answer: D
Question: Two pipes A and B can fill a tank in 24 minutes and 32 minutes respectively. If both the pipes are
opened simultaneously, after how much time should B be closed so that the tank is full in 18
minutes?
Choices:
9 minute
10 minute
8 minute
11 minute
Answer: C
Question: The manufacturing cost of a shoe is Rs.230 and the transportation lost is Rs.500 for 100 shoes. What will be the selling price if it is sold at 20% gains
Choices:
s 282
s 220
s 210
s 217
Answer: A
Question: A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 7x km.
Choices:
56
24
19
12
Answer: A
Question: Right triangle ABC is to be drawn in the xy-plane so that the right angle is at A and AB is parallel to the y-axis. If the x- and y-coordinates of A, B, and C are to be integers that are consistent with the inequalities -6 ≤ x ≤ 2 and 4 ≤ y ≤ 9 , then how many different triangles can be drawn that will meet these conditions?
Choices:
432
2,160
2,916
148,824
Answer: B
Question: Reena took a loan of $. 1200 with simple interest for as many years as the rate of interest. If she paid $ 588 as interest at the end of the loan period, what was the rate of interest?
Choices:
7
18
Cannot be determined
None of these
Answer: A
Question: There are r red ball, b blue ball and w white ball in a bag. What is the ratio of the number of blue ball to the total no. of ball in terms of r, b and w.?
Choices:
r / (r + b + w)
(r + b + w)/r
r / (b + w)
r * (r + b + w)
Answer: A
Question: In how many ways Chief Minister and Minister be elected from a team of 10 members?
Choices:
90
120
100
165
Answer: A
Question: If 4 women can color 48 m long cloth in 2 days, then 6 women can color 36 m long cloth in
Choices:
1 day
4 days
3 days
2 1/5 days
Answer: A
Question: Each person who attended a company meeting was either a stockholder in the company, an employee of the company or both. If 62 percent of these who attended the meeting were stockholders and 49 percent were employees. What percent were stockholders, who were not employees?
Choices:
51
54
55
56
Answer: A
Question: One square garden has area of A square feet and the perimeter is p feet. If 3A=3(2p+9), what is the perimeter of the garden, in feet?
Choices:
36
40
56
74
Answer: A
Question: A retailer buys a radio for Rs 225. His overhead expenses are Rs 28. He sellis the radio for Rs 300. The profit percent of the retailer is
Choices:
50%
25%
52%
18.5%
Answer: D
Question: Which of the following is equivalent to the pair of inequalities x + 2 > 10 and x - 4 <= 5 ?
Choices:
2 <= x < 4
2 < x <= 8
8 < x <= 9
4 <= x <= 16
Answer: C
Question: One used-car salesperson receives a commission of $ 200 plus 4 percent of $ 1,000 less than the car’s final sale price. Another car salesperson earns a straight commission of 6 percent of the car’s final sale price. What is the final sale price of a car if both salespeople would earn the same commission for selling it?
Choices:
$ 6,000
$ 8,000
$ 10,000
$ 12,000
Answer: B
Question: Given that a is the average (arithmetic mean) of the first six positive multiples of six and b is the median of the first twelve positive multiples of six, what is the ratio of a to b?
Choices:
10:13
5:6
13:10
7:13
Answer: D
Question: The grade point average of the entire class is 90. If the average of one third of the class is 96, what is the average of the rest?
Choices:
89
88
87
86
Answer: C
Question: In how many ways can the letters of the word CAVED be arranged in a row so that the vowels appear in alphabetic order?
Choices:
60
120
240
180
Answer: A
Question: A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares?
Choices:
Rs.10000, Rs.15700
Rs.10000, Rs.15090
Rs.10000, Rs.15000
Rs.10000, Rs.15200
Answer: C
Question: Of the following values of n, the value of (-1/4)^(-n) will be greatest for n =
Choices:
0
2
-2
-3
Answer: B
Question: A is twice as fast as B. If B alone can do a piece of work in 18 days, in what time can A and B together complete the work?
Choices:
16
18
6
12
Answer: C
Question: A train does a journey without stoppage in 8 hours, if it had travelled 5 km/h faster, it would have done the journey in 6 hours 40 minutes. Find its original speed.
Choices:
25 km/h
45 km/h
36.5 km/h
None of these
Answer: A
Question: In how many ways can the letters of the word 'LEADER' be arranged ?
Choices:
360
144
760
280
Answer: A
Question: If n is the greatest positive integer for which 2^n is a factor of 8!, then n =?
Choices:
4
6
8
10
Answer: B
Question: In a class ,there are 15 boys and 10 girls .one student is selected at random. The probability that one girl is selected,is:
Choices:
2/5
15/25
3/25
1/25
Answer: A
Question: What is the tenth digit of (4!*3! + 4!*2!)/3?
Choices:
7
9
1
0
Answer: B
Question: The probability that A speaks truth is 15/23 and that of B speaking truth is 17/29. What is the probability that they agree in stating the same fact?
Choices:
129/289
197/353
479/667
None of these
Answer: C
Question: If x is a positive integer, what is the units digit of (24)^(2x+1)(33)^(x+1)(17)^(x+2)(9)^(2x)
Choices:
6
7
8
9
Answer: C
Question: In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Choices:
8 sec
3 sec
4 sec
6 sec
Answer: D
Question: A discount electronics store normally sells all merchandise at a discount of 10 percent to 30 percent off the suggested retail price. If, during a special sale, an additional 20 percent were to be deducted from the discount price, what would be the lowest possible price of an item costing $300 before any discount?
Choices:
$145.60
$168.80
$182.00
$210.00
Answer: B
Question: A man can row 9 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. How far is the place?
Choices:
4.42
4.52
4.62
4.72
Answer: A
Question: The area of a circle is increased by 300%. By what percent has the diameter of the circle increased?
Choices:
200%
300%
100%
800%
Answer: C
Question: 95,70,54,45, ?
Choices:
41
44
40
39
Answer: A
Question: At present, the ratio between the ages of Arun and Deepak is 4:3. After 2 years, Arun's age will be 26 years. What is the age of Deepak at present?
Choices:
17
10
18
15
Answer: C
Question: A batch of widgets costs p + 5 dollars for a company to produce and each batch sells for p(6 – p) dollars. For which of the following values of p does the company make a profit?
Choices:
3
5
6
7
Answer: A
Question: A professional athlete was offered a three-year contract to play with Team K that provided for an annual salary of $100,000 in the first year, an increase in annual salary of 20% over the previous year for the next two years, and a bonus of $75,000 on signing. Team L offered a three-year contract providing for an annual salary of $150,000 in the first year, an increase in annual salary of 10% over the previous year for the next two years, and no signing bonus. If he accepts the offer of Team L and fulfills the three-year contract terms, the athlete will receive how much more money by choosing Team L over Team K ?
Choices:
$57,500
$82,500
$92,000
$100,000
Answer: A
Question: The sum of four consecutive even integers is 1284. The greatest of them is:
Choices:
324
364
382
none
Answer: A
Question: The sum of the digits of a two-digit number is 12. The difference of the digits is 6. Find the number?
Choices:
39
88
66
51
Answer: A
Question: A bowl was filled with 10 ounces of water, and 0.0008 ounce of the water evaporated each day during a 50-day period. What percent of the original amount of water evaporated during this period?
Choices:
0.04%
0.40%
4%
40%
Answer: B
Question: Find the middle one when The sum of three consecutive even numbers is 36?
Choices:
12
15
17
18
Answer: A
Question: If the number 892,142,24x is divisible by 11, what must be the value of x?
Choices:
2
3
0
5
Answer: C
Question: When Professor Wang looked at the rosters for this term's classes, she saw that the roster for her economics class (E) had 24 names, the roster for her marketing class (M) had 28, and the roster for her statistics class (S) had 18. When she compared the rosters, she saw that E and M had 9 names in common, E and S had 7, and M and S had 10. She also saw that 4 names were on all 3 rosters. If the rosters for Professor Wang's 3 classes are combined with no student's name listed more than once, how many names will be on the combined roster?
Choices:
34
42
48
50
Answer: C
Question: The cost price of an article is 64% of the marked price. Calculate the gain percent after allowing a discount of 20%?
Choices:
48%
50.5%
52%
25%
Answer: D
Question: Find a a prime number from the options below.
Choices:
70
71
72
74
Answer: B
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 kmph
99 kmph
55 kmph
44 kmph
Answer: A
Question: What is the value of 11^x-11^(x+2), where x is the largest integer such that 11^x is a factor of 30,030?
Choices:
-1320
-121
-120
-1
Answer: A
Question: If a particular player is never chosen, in how many ways can 11 cricket players be chosen out of 16 players?
Choices:
1256
1365
1370
1390
Answer: B
Question: A 6-meter long wire is cut into two pieces. If the longer piece is then used to form a perimeter of a square, what is the probability that the area of the square will be more than 1 if the original wire was cut at an arbitrary point?
Choices:
2/3
4/5
5/6
6/7
Answer: A
Question: The average age of 15 students of a class is 15 years. Out of these, the average age of 7 students is 14 years and that of the other 7 students is 16 years, The age of the 15th student is
Choices:
12
13
14
15
Answer: D
Question: A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
Choices:
120 m
160 m
180 m
140 m
Answer: A
Question: A sells a bicycle to B at a profit of 30% and B sells it to C at a loss of 20%. Find the resultant profit or loss.
Choices:
4%
-4%
-12%
2%
Answer: A
Question: If x, y, and z are negative integers and 3x - 3y = -3z, then which of the following statements must be true?
I. x > y
II. x > y > z
III. x = z
Choices:
I only
II only
III only
None
Answer: A
Question: What is the value of the following expression?
(1/ (2^2 – 1)) + (1/ (4^2 – 1)) + (1/ (6^2 – 1)) + .... + (1/ (22^2 – 1))
Choices:
b. 10/19
c. 10/21
d. 11/23
e. 11/19
Answer: C
Question: Kamal started a business investing Rs. 9000. After five months, Sameer joined with a capital of Rs. 8000. If at the end of the year, they earn a profit of Rs. 8610, then what will be the share of Sameer in the profit?
Choices:
s.2940
s.2329
s.2329
s.2312
Answer: A
Question: An error 38% in excess is made while measuring the side of a square. Now What is the percentage of error in the calculated area of the square?
Choices:
16.64%
15.64%
26.64%
90.44%
Answer: D
Question: In how many different number of ways 4 men and 2 women can sit on a shopa which can accommodate persons?
Choices:
B)70
C)90
D)120
E)30
Answer: C
Question: When n is divided by 19 , the remainder is 6. When n is divided by 11, the quotient is equal to Z, and the remainder is equal to 6. Z must be divisible by which of the following numbers?
Choices:
7
10
13
nineteen
Answer: D
Question: Twenty four men can do a work in 42 days. How many men are required to complete the work in 36 days?
Choices:
28
50
40
60
Answer: A
Question: Find the value of x from (10)^2 x 7^3 Ã· 321 = x.
Choices:
106.8
103.8
126.8
236.8
Answer: A
Question: There are 6 red shoes, 2 green shoes. If one draw randomly a shoe what is the probability of getting a red shoe
Choices:
2/9
5/9
3/4
2/3
Answer: C
Question: In 1 kg mixture of sand and iron, 20% is iron. How much sand should be added so that the proportion of iron becomes 10%?
Choices:
1 kg
1.8kg
4.5kg
500gms
Answer: A