antoine-444/aqua_rat_dataset huggingface dataset:
Question: At what price must an article costing Rs.47.50 be marked in order that after deducting 8% from the list price. It may be sold at a profit of 25% on the cost price?
Choices:
64.54
62.1
62.7
62.2
Answer: A
Question: Ten boys picked up 30 mangoes .In how many ways can they divide them if all mangoes be identical?
Choices:
A)10^30
C)1^30
D)3^30
E)6^30
Answer: A
Question: Solve for x the equation log9(x3) = log2(8)
Choices:
9
7
6
5
Answer: A
Question: A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is:
Choices:
5120
6420
8960
None
Answer: A
Question: A sequence contains an alternation of positive and negative numbers. The sequence contains x numbers, and begins with a positive number. How many positive numbers are in it If x is an odd number?
Choices:
(x+1)/2
x/(2-1)
x/(2+1)
(x-1)/2
Answer: A
Question: The average length of 6 ropes is 80 cm. If the average length of one third of the ropes measure to 70 cm, what is the average of the other ropes?
Choices:
85.
90.
94.
100.
Answer: A
Question: If x and y are even integers, which of the following is an odd integer?
Choices:
x(y − 1)
x(x + 5)
3x + 4y
(x + 3)(y − 1)
Answer: D
Question: If the complement of a certain angle is five times the measure of that certain angle, then what is the measure of that certain angle?
Choices:
30°
22.5°
18°
15°
Answer: D
Question: Of the three numbers, the first is twice as second and three times the third. The average of the three numbers is 55, and the three numbers in order are?
Choices:
90,45,30
126,63,36
108,54,36
None of these
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
6
2
10
Answer: A
Question: In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 5:6:2. If there are in all Rs.42, the number of 25 paisa coins is?
Choices:
42
78
26
92
Answer: A
Question: A group of 8 employees book a full row at a movie theater. There are 2 best buddies and a couple and the 2 people in both those cases must always sit together. in how many arrangements can the students sit?
Choices:
B.2880
C.1850
D.3546
E.4200
Answer: A
Question: In seventeen given numbers, the average of first 9 numbers is 4 and that of the last 9 numbers is also 4. If the average of these 17 numbers is 3, the 9th number is
Choices:
4
17
21
28
Answer: C
Question: A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.200 when the rate to profit rises from 5 to 7 percent. Find the Capital of B?
Choices:
2778
2500
2818
2871
Answer: B
Question: The average of 6 no.'s is 3.95. The average of 2of them is 4.4, while the average of theother 2 is 3.85. What is the average of the remaining 2 no's?
Choices:
4.4
3.6
5.6
5.7
Answer: B
Question: A and B started a business in partnership investing Rs.20,000 and Rs.15,000 respectively. After 6months, C joined them with Rs.20,000. Whatwill be B's share in total profit of Rs.20,000 earned at the end of 2years from the startingof the business?
Choices:
s. 5,500
s. 5,700
s. 6,000
s. 7,500
Answer: C
Question: Diesel costs Rs.4 per lit and petrol costs 7.23 per litre. If the price of diesel rise by 10% a month and the price of petrol is unchanged.How many months will it take until a litre of Diesel costs more than a litre of petrol.
Choices:
5 months
7 months
3 months
2 months
Answer: B
Question: The ratio, by volume, of bleach to detergent to water in a certain solution is 2 : 25 : 100. The solution will be altered so that the ratio of bleach to detergent is tripled while the ratio of detergent to water is halved. If the altered solution will contain 300 liters of water, how many liters of detergent will it contain?
Choices:
45
50
75/2
35
Answer: C
Question: In digging a pond 20 m * 12 m * 5 m the volumes of the soil extracted will be?
Choices:
1000
1200
2787
1121
Answer: B
Question: The average of 45 results is 10. The average of first 22 of them is 15 and that of last 22 is 20. Find the 23 result?
Choices:
480
750
650
560
Answer: D
Question: Two trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?
Choices:
12 sec
15 sec
10 sec
11 sec
Answer: A
Question: The average of a couple was 23Yrs when they were married 5Yrs ago.The avg age of
the couple and a child, who was born during the interval, is 20Yrs now. How old is the
child now ?
Choices:
4 Yrs
3 Yrs
1 Yrs
None of these
Answer: A
Question: By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?
Choices:
38000
38028
38019
38192
Answer: A
Question: A and B can do a work in 4 hours and 12 hours respectively. A starts the work at 6AM and they work alternately for one hour each. When will the work be completed?
Choices:
9 days
4 days
6 days
2 days
Answer: C
Question: What approximate value should come in place of the question mark (?) in the following equation?
95.245 + 25.912 × 7.2 + ? = 905.293
Choices:
936.6
996.6
995.6
998.6
Answer: B
Question: If a number between 10 and 30 (inclusive) at random. What is the probability that the tens digit is greater than ones digit?
Choices:
4/21
14/41
27/41
11/41
Answer: A
Question: Find the ones digit of 73^351
Choices:
5
6
7
9
Answer: C
Question: A shopkeeper loses 15%,if an article is sold for Rs. 102. What should be the selling price of the article to gain 20%?
Choices:
Rs.144
Rs.129
Rs.123
Rs.128
Answer: A
Question: A man took some money for borrowed, for 2 years the total will be Rs.9000/- and 5 years it will be13, Rs.500/-. Then how much amount he borrowed?
Choices:
Rs.5200/-
Rs.5500/-
Rs.5800/-
Rs.6000/-
Answer: D
Question: A car travels at a speed of 10 miles per hour. How far will it travel in 5 hours?
Choices:
50 miles
325 miles
70 miles
20 miles
Answer: A
Question: Anup start a bike at 6am. and rides it at 60kmph. Raghu started at 7pm with his car at 90kmph. When will Raghu overtake Anup?
Choices:
9:00am
10:00am
12:00pm
11:10am
Answer: A
Question: A shopkeeper buys mangoes at the rate of 7 a rupee and sells them at 3 a rupee. Find his net profit or loss percent?
Choices:
33 1/7 %
400/7 %
32 1/3 %
33 2/3 %
Answer: B
Question: An apple tree has 30 apples. 10 apples have fallen off of the tree. How many apples remain on the tree?
Choices:
20
0
5
100
Answer: A
Question: In a fort, there are 1200 soldiers. If each soldier consumes 3 kg per day, the provisions available in the fort will last for 30 days. If some more soldiers join, the provisions available will last for 25 days given each soldier consumes 2.5 kg per day. Find the number of soldiers joining the fort in that case?
Choices:
528
645
538
538
Answer: A
Question: What approximate value should come in place of question mark (?) in the following equation?
33 1⁄3% of 768.9 + 25% of 161.2 – 67.12 = ?
Choices:
231
235
220
240
Answer: A
Question: Find the least number by which (59)(36)(17) has to be multiplied to obtain a perfect square?
Choices:
17
85
221
223
Answer: B
Question: What is the least value of x. So that 43x87 is divisible by 3?
Choices:
5
2
6
7
Answer: B
Question: The average salary per head of the entire staff of an office including the officers and clerks is Rs.90. The average salary of officers is Rs.600 and that of the clerks is Rs.84. If the number of officers is 2, find the number of officers in the office?
Choices:
1
7
6
2
Answer: A
Question: (1+0.0001)/(0.00004+1)
The value of the expression above is closet to which of the following?
Choices:
0.001
0.1
1
10
Answer: C
Question: 49 * 49 * 49 * 49 = 7?
Choices:
5
7
9
8
Answer: C
Question: One fourth of a solution that was 10% salt by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight. The second solution was what percent salt by weight?
Choices:
34%
22%
18%
8.5%
Answer: A
Question: If a, b, c are consecutive positive integers and b<a<c, which of the following must be true?
I. c-b=2
II. abc is an even integer
III. (a+b+c)/3 is an integer
Choices:
II
I and II
II and III
I, II and III
Answer: B
Question: A tank has both an inlet pipe and an outlet pipe. Working alone, the inlet pipe can fill up the tank in 5 hours. Working alone, the outlet pipe can empty out the tank in 15 hours. If it is desired that the tank should be filled, from empty, exactly 7 hours after the inlet pipe is turned on at 9:30am, then at what time should the outlet pipe be opened ?
Choices:
10:30am
11:30am
10:40am
10:50am
Answer: A
Question: The largest 4 digit number exactly divisible by 88 is?
Choices:
9750
9468
9568
9944
Answer: D
Question: An entrance exam question paper consists of five problems, each problem having three choices. In how many ways can a student attempt one or more problems?
Choices:
1023
1024
1035
1300
Answer: A
Question: A man can hit a target once in 5 shots. If he fires 4 shots in succession, how many ways that he will hit his target?
Choices:
81/133
81/343
34/83
91/324
Answer: C
Question: One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in
Choices:
144 mins
136 mins
132 mins
130 mins
Answer: A
Question: Average age of 9 members of a club is 29 years. If 2 more persons with the average age of 40 years have become the members of the club, find average age of all the 11 members.
Choices:
31
77
99
22
Answer: A
Question: A city had 600 migrants in the year 2000. Since then, The number of migrants in a countrythe city has doubled every 3 years. If there were 600 migrants in the country in the year 2000, What was the increase in the population of migrants during the period from 2009 to 2012?
Choices:
4800
6600
8200
16400
Answer: A
Question: how many 3 digit numbers can be formed by using 2,4 and 5 such that product of the digits of numbers become even...
Choices:
26
25
24
23
Answer: A
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when a boy gets any no. of prizes?
Choices:
70
64
56
67
Answer: B
Question: 4,5,9,18,34,?
Choices:
59
48
50
52
Answer: A
Question: Pipe A can fill a tank in 8 hours, pipe B in 16 hours and pipe C in 48 hours. If all the pipes are open,in how many hours will the tank be filled ?
Choices:
4.5
4.6
4.8
5
Answer: C
Question: A certain amount earns simple interest of 1750 after 7 years Had the interest been 2% more, how much more interest would it have earned?
Choices:
245
350
Cannot be determined
None of these
Answer: C
Question: A car runs at the speed of 30 km per hour when not serviced and runs at 120 kmph when serviced. After servicing the car covers a certain distance in 8 hours. How much time will the car take to cover the same distance when not serviced?
Choices:
32 hours
28 hours 15 minutes
17 hours 12 minutes
None
Answer: A
Question: For any numbers a and b, a#b = ab(4 − b). If a and a#b both represent positive numbers, which of the following could be a value of b?
Choices:
3.2.1
5
6
7
Answer: A
Question: A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
Choices:
111.12
111.64
111.11
101.12
Answer: A
Question: 10% of (50% of $500) is?
Choices:
$20
$25
$30
$22
Answer: B
Question: Let's say in a lottery John have a 4% chance of winning the jackpot.
All lined up and 1st four people on the line lose. John is 5th in the row.
What's the chance of John winning now?
Choices:
4%
6%
3%
7%
Answer: A
Question: A,B,C invested some money such that capital of C is half of B and capital of B is half of A. If they get a profit of Rs.7000 then profit share of B is
Choices:
Rs.2000
Rs.2500
Rs.3500
Rs.3600
Answer: A
Question: The average monthly salary of 24 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 400. What is the manager's monthly salary ?
Choices:
Rs. 11,500
Rs. 11,128
Rs. 11,228
Rs. 11,129
Answer: A
Question: If x is a positive integer such that x3 + 8x2 + 12x-385 = 0, then x is
Choices:
less than 6
between 12 and 20
between 22 and 34
larger than 50
Answer: A
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
Choices:
12/456
12/455
12/453
12/451
Answer: B
Question: A bicycle wheel has a diameter of 0.81m. How many complete revolutions does it make in 1km?
Choices:
448
393
710
223
Answer: B
Question: We have 8 people and 5 chairs. In how many ways chairs can be occupy?
Choices:
1450
1680
1912
900
Answer: B
Question: there r 5 papers Ratio of marks obtained in each subject is 6:7:8:9:10. Total marks obtained is 60%. 50% is pass marks. In how many subjects did he get above 50%.
Choices:
2
3
4
5
Answer: C
Question: Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is:
Choices:
Rs. 7200
Rs. 8400
Rs. 9600
None of these
Answer: B
Question: Dara ran on a treadmill that had a readout indicating the time remaining in her exercise session. When the readout indicated 24 min 18 sec, she had completed 10% of her exercise session. The readout indicated which of the following when she had completed 40% of her exercise session?
Choices:
14 min 52 sec
14 min 58 sec
16 min 6 sec
16 min 12 sec
Answer: D
Question: Mike weighs twice as much as Mary. Mike's weight is 150% of Michelle's weight. Alan weighs 20% more than Charlie. Charlie weighs 170% of Mary's weight. Which of these 5 people weighs the highest?
Choices:
Mike
Michelle
Alan
Charlie
Answer: C
Question: Rahim bought 65 books for Rs.1150 from one shop and 50 books for Rs.920 from another. What is the average price he paid per book ?
Choices:
18
99
787
12
Answer: A
Question: At what price must an article costing Rs.66.5 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:
87.5
82.3
82.1
92.4
Answer: A
Question: What is the CP of Rs 100 stock at 5 discount, with 1/5% brokerage?
Choices:
96.3
95.2
96.7
96.21
Answer: B
Question: A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in?
Choices:
12
11
19
114
Answer: A
Question: Of the 40 animals at the shelter, 20 percent are cats. How many dogs must be adopted in order to bring the number of cats up to 50 percent of the animals in the shelter?
Choices:
24
26
32
34
Answer: A
Question: A bus covers a certain distance at a speed of 54 kmph excluding stoppages and 45 kmph including stoppages.for how many minutes does the bus stop per hour?
Choices:
10 min.
15 min.
20 min.
30 min.
Answer: A
Question: In a lottery, there are 11 prizes and 55 blanks. A lottery is drawn at random. What is the probability of getting a prize?
Choices:
1/4
1/6
1/8
1/10
Answer: B
Question: Nitin's age was equal to square of some number last year and the following year it would be cube of a number. If again Nitin's age has to be equal to the cube of some number, then for how long he will have to wait?
Choices:
38 years
39 years
64 years
52 years
Answer: A
Question: The probability of a team winning a match given Matt is playing the match is 0.75. The probability of the team winning a match given Matt is not playing the match is 0.5. The probability of Matt playing any match is 0.8.
If it is known that the team has won the last match, what is the probability that Matt played the match?
Choices:
0.7
0.8571
0.7531
0.8213
Answer: B
Question: A trader marked the price of a car 20% above the cost price and allowed the purchaser 5% discount on the marked price there by gained $8400. Find the cost price of the Bike?
Choices:
60500
85000
60000
55000
Answer: C
Question: A solution of 66 litres contains milk and water in the ratio 7:x. If four litres of water is added to the solution, the ratio becomes 3:2, find the value of x?
Choices:
5
3
4
2
Answer: C
Question: Unit size cubes are stacked inside a big rectangular box having dimensions corresponding to three consecutive multiples of 5. Choose exact number of cubes that can completely fill the box.
Choices:
750
950
1050
None of the above
Answer: A
Question: The value of a machine depreciates at 20% per annum. If its present value is Rs. 1,50,000, at what price should it be sold after two years such that a profit of Rs. 28,000 is made?
Choices:
120000
877888
124000
188871
Answer: C
Question: The difference between the two digit number and the number obtained by interchanging its digits is 54. The difference between the digits is?
Choices:
6
1
7
8
Answer: A
Question: Thirty percent of the women in a college class are science majors, and the non-science majors make up 60% of the class. What percentage of the men are science majors if 40% of the class are men?
Choices:
45%
55%
65%
75%
Answer: B
Question: Two trains start simultaneously from opposite ends of a 150-km route and travel toward each other on parallel tracks. Train X, traveling at a constant rate, completes the 150-km trip in 4 hours. Train Y, travelling at a constant rate, completes the 150-km trip in 3.5 hours. How many kilometers had Train X traveled when it met Train Y?
Choices:
70
72
74
76
Answer: A
Question: Some items were bought at 6 items for Rs. 5 and sold at 5 items for Rs. 6. What is the gain percentage?
Choices:
44%
46%
48%
41%
Answer: A
Question: In how many different ways can the letters of the word 'DANCING' be arranged in such a way that the vowels always come together?
Choices:
B)480
C)720
D)1440
of these
Answer: C
Question: How many even number in the range between 20 to 100 inclusive are not divisible by 3
Choices:
28
31
33
46
Answer: A
Question: The area of a square field is 64816 sq m. How long will a lady take to cross the field diagonally at the rate of 7.2 km/hr?
Choices:
4 min
5 min
3 min
3.5 min
Answer: C
Question: What is the lowest possible common multiple of 2 distinct integers, each greater than 150?
Choices:
152
302
151*151
151*152
Answer: B
Question: From a group of 6boys&4girls a Committee of 4 persons is to be formed. In how many different ways can it be done, so that the committee has at least 2 boys?
Choices:
130
185
195
210
Answer: B
Question: A man sells an article at 5% profit. If he had bought it at 5% less and sold it for 1 less, he would have gained 10%. The cost price of the article is :
Choices:
200
240
280
None of these
Answer: A
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
Choices:
12/456
12/455
12/454
12/451
Answer: B
Question: A circle graph shows how the budget of a certain company was spent: 55 percent for salaries, 9 percent for research and development, 5 percent for utilities, 4 percent for equipment, 2 percent for supplies, and the remainder for transportation. If the area of each sector of the graph is proportional to the percent of the budget it represents, how many degrees of the circle are used to represent transportation?
Choices:
36°
54°
72°
90°
Answer: D
Question: In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Choices:
56%
70%
35%
20%
Answer: B
Question: The digits of a two-digit number differ by six. Find the difference of the number and the number formed by reversing its digits?
Choices:
54
87
78
95
Answer: A
Question: A 12% stock yielding 10% is quoted at:
Choices:
Rs. 110
Rs. 112
Rs. 120
Rs. 140
Answer: C
Question: A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:
Choices:
387
42
28
71
Answer: B
Question: The total car population in a Mumbai is 2,94,00 out of which 1,50,00 are made by Honda. Out of every 100 Honda cars, 98 are red in color, but only 53% of the total car population is red. Find the % of non-Honda cars that are red
Choices:
4.65%
6.125%
7.24%
7.45%
Answer: B
Question: A reduction of 20% in the price of salt enables a lady to obtain 25 kgs more for Rs.100, find the original price per kg?
Choices:
1
5
4
7
Answer: A
Question: At a loading dock, each worker on the night crew loaded 3/4 as many boxes as each worker on the day crew. If the night crew has 2/3 as many workers as the day crew, what fraction of all the boxes loaded by the two crews did the day crew load?
Choices:
2/3
3/5
4/5
5/8
Answer: A
Question: The cost to rent a small bus for a trip is x dollars, which is to be shared equally among the people taking the trip. If 10 people take the trip rather than 14, how many more dollars, in terms of x, will it cost per person?
Choices:
x/16
x/40
3x/40
3x/80
Answer: C
Question: If each side of a square is increased by 25%, find the percentage change in its area?
Choices:
56.25%
56.95%
53.25%
36.25%
Answer: A
Question: In how many ways can the letters of wordTREATMENTbe arranged such that all the Consonants always appear together?
Choices:
4!*6!
5!*5!
5!*4!*2!
6!*4!
Answer: A
Question: In right triangle ABC, AC is the hypotenuse. If AC is 40 and AB + BC = 60, what is the area of the triangle ABC?
Choices:
450
25√2
500
200√2
Answer: C
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:
11%
18%
218%
14%
Answer: B
Question: The apartment on King-Williams street is an asset that its value is tramping about. From the year 1973 to 1983 it's value decreased by 16% and from 1983 to 1993 it's value increased by 16%. What is the value of the asset in 1993 if in 1973 it was worth $50,000?
Choices:
$48,720.
$38,976.
$39,679.
$36,796.
Answer: A
Question: Two boys starts from the same place walking at the rate of
5 kmph and 5.5 kmph respectively in the same direction. What time will they take to be 8.5 km apart?
Choices:
17hr
12 hr
20 hr
22 hr
Answer: A
Question: A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choices:
72
28
26
27
Answer: A
Question: Rounded to three decimal places, 1.005^4 =
Choices:
1.006
1.008
1.012
1.02
Answer: D
Question: A solution of X pounds of water and sugar is boiled until 20% of the water content evaporates. Originally r% of sugar was present in the solution. After evaporation, what percentage of the solution is sugar?
Choices:
80r/(1-r)
75r/(1-r)
100r/(80-0.2r)
100r/(80+0.2r)
Answer: D
Question: In the coordinate plane a slope of the line K is 3/2 times the y-intercept of the line K. What is the x-intercept of the line K?
Choices:
2/3
-2/3
1/4
3/2
Answer: A
Question: Rahul went to a shop and bought things worth Rs. 30, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
24.7
23.7
22.7
26.7
Answer: A
Question: Today is Wednesday. After 36 days, it will be :
Choices:
Thursday
Monday
Sunday
Wednesday
Answer: A
Question: n May Mrs Lee's earnings were 60 percent of the Lee family's total income. In June Mrs Lee earned 20 percent more than in May. If the rest of the family's income was the same both months, then, in June, Mrs Lee's earnings were approximately what percent of the Lee family's total income ?
Choices:
64%
72%
76%
80%
Answer: A
Question: A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
Choices:
39/28 hours
30/32 hours
30/13 hours
32/34 hours
Answer: C
Question: A man rows down stream 32km and 14 km upstream. if he takes 6 hrs to covereach distance, then the velocity of the current is
Choices:
1.5kmph
1 3/2kmph
2kmph
4kmph
Answer: A
Question: A large box contains 20 small boxes and each small box contains 25 chocolate bars. How many chocolate bars are in the large box?
Choices:
500
450
550
650
Answer: A
Question: The average of 9 numbers is 8 and the average of 7 other numbers is 6. What is the average of all 16 numbers?
Choices:
8
7 1⁄8
7 1⁄2
7 1⁄4
Answer: B
Question: A trader sold an article on a certain price with 40% profit. If he sold double of previous selling price then find its profit %
Choices:
180%
120%
100%
150%
Answer: A
Question: length =9 feet
breadth =37−9/2=14 feet
Area =9×14=126 square feet
Choices:
126 sq. ft
216 sq. ft.
145 sq. ft.
122 sq. ft.
Answer: A
Question: A certain shade of gray paint is obtained by mixing 3 parts of white paint with 5 parts of black paint. If 2 gallons of the mixture is needed and the individual colors can be purchased only in one gallon or half gallon cans, what is the least amount Q of paint, in gallons, that must be purchased in order to measure out the portions needed for the mixture?
Choices:
2 1/2
3
3 1/2
4
Answer: A
Question: If log 27 = 1.497, then the value of log 9 is:
Choices:
0.945
0.954
0.958
0.998
Answer: D
Question: A man rides at the rate of 50km/hr. But stops 30minutes to change horses at the end of every 25th kilometer. How long will he take to go a distance of 250 kilometers?
Choices:
6hr 30min
8hr 10min
7hr 20min
8hr
Answer: D
Question: The average of marks obtained by 120candidates was 35. If the avg of marks of passed candidates was 39 and that of failed candidates was 39 and that of failed candidates was 15, the no.of candidates who passed the examination is?
Choices:
90
100
120
130
Answer: B
Question: Peter invests a sum of money and gets back an amount of $ 815 in 3 years . David invests an equal amount of money and gets an amount of $870 in 4 years. If both amounts were invested at the same rate (simple interest ) What was the sum of money invested ?
Choices:
650
698
744
700
Answer: A
Question: A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m cube) is:
Choices:
4140 m cube
5140 m cube
5120 m cube
None of these
Answer: C
Question: The average of first five multiples of 5 is
Choices:
6
9
12
15
Answer: D
Question: At what rate of CI per year will a sum of Rs. 1200 become Rs. 1348.32 in 2 years?
Choices:
6%
7%
8%
9%
Answer: A
Question: 40 percent of the ducks included in a certain side effects study were male. If some of the ducks had side effects during the study and 10 percent of the ducks who had side effects were male, what was the ratio of the side effect rate for the male ducks to the side effect rate for the female ducks?
Choices:
9/14
2/3
7/8
1/6
Answer: D
Question: John had a stock of 900 books in his bookshop. He sold 75 on Monday, 50 on Tuesday, 64 on Wednesday, 78 on Thursday and 135 on Friday. What percentage of the books were not sold?
Choices:
23.8%
66.5%
34.9%
55.3%
Answer: D
Question: If (x - 1)(x - 2) = x^2 + x, what is a possible value of x?
Choices:
2
-1
1
-2
Answer: A
Question: A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 1/6 hours to fill the tank. The leak can drain all the water of the tank in?
Choices:
19 hr
10 hr
24 hr
26 hr
Answer: D
Question: 6, 11, 21, 36, 56, 81, 111, 146, 186, ?
Choices:
711
811
231
911
Answer: C
Question: How many ways are there for 4 males and 3 females to sit (around a circular table) if no male should sit next to a male (and no female next to female) and Mary wants to sit with her back on the wall?
Choices:
48
72
100
720
Answer: A
Question: A completes a work in 12 days and B complete the same work in 18 days. If both of them work together, then the number of days required to complete the work will be
Choices:
9 days
10 days
12 days
7.2 days
Answer: D
Question: On Saturday morning, Malachi will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.4, what is the probability that Malachi will return home at the end of the day on the following Monday?
Choices:
0.144
0.488
0.512
0.64
Answer: A
Question: If "YELLOW" is given a color code of 92, what is the difference between "BROWN" and "RED"?
Choices:
52
119
45
32
Answer: C
Question: What is the sum of the integers from -170 to 171, inclusive?
Choices:
171
191
201
202
Answer: A
Question: The interior surfaces of a children's room (including ceiling, floor and 4 faces) are to be painted by 6 different colors. In how many ways can be this be done?
Choices:
A.720
C.1
D.12
E.36
Answer: A
Question: If the probability that the Detroit Lions win the Super Bowl is 1/20 and the probability that the Detroit Tigers win the World Series is 1/6, what is the probability that either the Bears win the Super Bowl or the Cub win the World Series (but not both)?
Choices:
2/7
1/3
1/4
1/5
Answer: D
Question: What is the difference between the biggest and the smallest fraction among 2/3 , 3/4 , 4/5 and 5/6?
Choices:
1/6
1/20
1/30
None of these
Answer: A
Question: The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?
Choices:
1:96
1:26
1:97
1:56
Answer: A
Question: The volume of a rectangular swimming pool is 840 cubic meters and water is flowing into the swimming pool. If the surface level of the water is rising at the rate of 0.5 meters per minute, what is the rate W, in cubic meters per minutes, at which the water is flowing into the swimming pool?
Choices:
0.25
0.5
0.75
Not enough information to determine the rate
Answer: D
Question: An alloy of copper and zinc contains copper and zinc in the ratio 6 : 4. Another alloy of copper and zinc contains copper and zinc in the ratio 3 : 7. In what ratio should the two alloys be mixed so that the resultant alloy contains equal proportions of copper and zinc?
Choices:
1 : 2
4 : 1
2 : 5
2 : 6
Answer: A
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good?
Choices:
125/178
125/126
125/129
125/122
Answer: B
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling alongthe oundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is?
Choices:
2334356 m
1536001 m
1232431 m
2435467 m
Answer: B
Question: A full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet. Oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck's tank is completely filled. If the truck's tank has a radius of 5 feet and a height of 10 feet, how far did the oil level drop in the stationary tank?
Choices:
1 ft
0.5 ft
0.25 ft
0.025 ft
Answer: D
Question: The average of seven numbers is 18. The average of first three numbers is 12 and the average of last three numbers is 19. What is the middle number?
Choices:
27
29
33
34
Answer: C
Question: A man saves 20% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 20%, he is only able to save Rs. 240 per month. What is his monthly salary?
Choices:
2999
6000
2990
2771
Answer: B
Question: Eric, Nick and Archi make contributions to the Society Of Nature Protection in the ratio of 5:3:2.5. If altogether they contribute 2688 Nis, how much more money does Nick contribute than Archi?
Choices:
128 Nis
234 Nis
245 Nis
288 Nis
Answer: A
Question: A die is thrown twice and the sum of the numbers appearing is observed to be 6.
find the conditional probability that the number 4 has appeared at least once?
Choices:
1/7
1/9
2/5
3/7
Answer: C
Question: Two pipes A and B can fill a cistern in 12 and 15 minutes respectively. Both are opened together but after 3 minutes A is turned off. After how much more time will the cistern be filled?
Choices:
8 1/9
8 1/4
8 1/2
8 1/1
Answer: B
Question: A man is 26 years older than his son. In two years, his age will be twice the age of his son. The present age of this son is
Choices:
22 years
23 years
24 years
26 years
Answer: C
Question: What is the sum of the greatest common factor and the lowest common multiple of 12 and 16?
Choices:
22
52
36
38
Answer: B
Question: The average age of a husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is?
Choices:
19 years
16 years
15 years
14 years
Answer: A
Question: If fy > 0 and yz < 0, which of the following must be negative:
Choices:
fy(z^2)
f(y^2)z
x(y^2)(z^2)
(x^2)(y^2)(z^2)
Answer: B
Question: The difference between the place values of two eights in the numerical 38140482 is
Choices:
7999920
7920
79920
None of them
Answer: A
Question: A policeman noticed a criminal from a distance of 200 km. The criminal starts running and the policeman chases him. The criminal and the policeman run at the rate of 8 km and 9 km per hour respectively. What is the distance between them after 3 minutes ?
Choices:
120 m
130 m
150 m
None of these
Answer: C
Question: What is the average of 1200, 1300, 1400, 1510, 1520, 1530, and 1200?
Choices:
1355.8
1380
1350
1333
Answer: B
Question: A jogger running at 9 km/hr along side a railway track is 250 m ahead of the engine of a 100 m long train running at 99 km/hr in the same direction. In how much time will the train pass the jogger?
Choices:
14 sec
98 sec
36 sec
23 sec
Answer: A
Question: In a Government institute 20 Nos. staffs are employed. In a Festival season their Boss give festival allowance to all. He says his accountant to calculate for 30 days @ 100. Also he says balance payment will give to driver and cleaning staff and to be adjust from petty cash. He had given Rs.65000/- to the accountant. How much amount will taken from Petty cash?
Choices:
A)1000
C)3500
D)2500
E)2250
Answer: A
Question: If money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 50/r years. If Luke's parents invested $14,500 in a long term bond that pays 12 percent interest compounded annually, what will be the approximate total amount of the investment 12 years later, when Luke is ready for college?
Choices:
85,500
95,500
120,500
100,000
Answer: C
Question: Can you find the largest possible number containing any 9 of the 10 digits. considering 0 also as a number that is divisible by 11, without a remainder?
Choices:
827652413
997652413
987652413
929052413
Answer: C
Question: A volunteer organization is recruiting new members. In the fall they manage to increase their number by 8%. By the spring however membership falls by 19%. What is the total change in percentage from fall to spring?
Choices:
15.15%
14.14%
13.33%
12.52%
Answer: D
Question: There are 840 male and female participants in a meeting. Half the female participants and one-quarterof the male participants are Democrats. One-third of all the participants are Democrats. How many of the Democrats are female?
Choices:
100
125
140
225
Answer: C
Question: If cement, gravel and sand are to be mixed in 7:10:13 and 9 tons of cement is available how many tons of mixture can be produced assuming that sufficient gravel and sand is readily available.
Choices:
36
34 2/7
34 5/7
38 4/7
Answer: D
Question: If a^2bc = b^3 , which of the following must be true?
I. ac = b^2
II. b = 0
III. ac = 1
Choices:
none
II
III
I&II
Answer: A
Question: Average age of students of an adult school is 52 years. 120 new students whose average age is 32 years joined the school. As a result the average age is decreased by 4 years. Find the number of students of the school after joining of the new students.
Choices:
150
360
240
None of these
Answer: A
Question: The arithmetic mean of the set S = {4, K, 3, 9, M, 4} is 5. If K and M are integers, and K ≠ M, what is the median of the numbers in the set?
Choices:
3.5
4
4.5
5
Answer: B
Question: By investing Rs. 1620 in 8% stock, Michael earns Rs. 135. The stock is then quoted at:
Choices:
Rs. 96
Rs. 106
Rs. 108
Rs. 128
Answer: A
Question: A man buys a cycle for Rs. 1200 and sells it at a loss of 15%. What is the selling price of the cycle?
Choices:
s. 1020
s. 1190
s. 1202
s. 1256
Answer: A
Question: Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?
Choices:
150 sq m
110 sq m
300 sq m
330 sq m
Answer: A
Question: The average (arithmetic mean) of the 5 positive integers k, m, r, s, and t is 12, and k < m < r < s < t. If t is 20, what is the greatest possible value of the median of the 5 integers?
Choices:
18
19
20
22
Answer: C
Question: A particular library has 150 books in a special collection, all of which were in the library at the beginning of the month. These book are occasionally loaned out through an inter-library program. If, by the end of the month, 65 percent of books that were loaned out are returned and there are 122 books in the special collection at that time, how many books of the special collection were loaned out during that month?
Choices:
60
80
100
120
Answer: B
Question: Of the 65 house in a development, 50 have a two-car garage, 40 have an in-the-ground swimming pool, and 35 have both a two-car garage and an in-the-ground swimming pool. How many houses in the development have neither a two-car garage nor an in-the-ground swimming pool?
Choices:
10
20
25
30
Answer: A
Question: Solve: 12.05*5.4+0.6
Choices:
108.45
106.45
109.45
None of them
Answer: A
Question: If a cistern has 3 pipes of 1 cm , 4/3 cm and 2 cm thickness ...where the pipe with 2 cm thickness can fill the cistern in 2 hrs and 2 min..then in how much time they can fill the tank?
Choices:
54.7min
55.7min
56.7min
57.7min
Answer: C
Question: A certain purse contains 30 coins, Each coin is either a nickel or a quarter. If the total value of all coins in the purse is 4.70$, how many nickels does the purse contain?
Choices:
14
16
20
22
Answer: A
Question: A technician makes a round-trip to and from a certain service center by the same route. If the technician completes the drive to the center and then completes 80 percent of the drive from the center, what percent of the round-trip has the technician completed?
Choices:
60
70
80
90
Answer: D
Question: The length of a room is 10 m and width is 4.75 m. What is the cost of paying the floor by slabs at the rate of Rs. 900 per sq. metre.
Choices:
25750
26550
42750
55725
Answer: C
Question: Every ten years, the Indian government counts all the people living in the country. Suppose that the director of the census has reported the following data on two neighbouring villages Chota Hazri and Mota Hazri :
Chota Hazri has 4,522 fewer males than MotaHazri.
Mota Hazri has 4,020 more females than males.
Chota klazri has twice as many females as males.
Chota Hazri has 2,910 fewer females than Mota Hazri.
What is the total number of males in Chota Hazri?
Choices:
14,174
5,632
10,154
None
Answer: B
Question: A and B start a business with Rs.7000 and Rs.9000 respectively. Hoe should they share their profits at the end of one year?
Choices:
7:9
3:9
3:1
3:2
Answer: A
Question: How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 140 m in length?
Choices:
16.0
15
16.8
16.1
Answer: B
Question: In a series of football matches, the probability that Team P wins a match against Team Q is 1/5 and the probability that the match ends in a draw is 1/2. If the two teams play five matches, what is the probability that all five matches end in a draw?
Choices:
1/32
1/16
1/8
1/4
Answer: A
Question: What is the 2532nd position of the number in the sequence
1,2,2,3,3,3,4,4,4,4,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,…..
Choices:
1
3
4
5
Answer: A
Question: If 4^(2x + 2) = 16^(3x − 1), what is the value of x ?
Choices:
1
2
3
4
Answer: A
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
Choices:
1/455
1/427
1/419
1/417
Answer: A
Question: If q is a positive integer, then 3^q + 3^(q +1) =
Choices:
3^a − 1
3^(2a) + 1
3^a*(a − 1)
4(3^q)
Answer: D
Question: In a building there are 5 rooms.Each having a equal area .The length of the room is 4m and breadht is 5 m.The height of the rooms are 2m. If 17 bricks are needed to make a square meter then how many bricks are needed to make the floor of a particular room ?
Choices:
340
300
330
360
Answer: A
Question: Working alone, machine X can manufacture 1,000 nails in 10 hours. Working together, machines X and Y can manufacture 1,000 nails in 5 hours. How many hours does it take machine Y to manufacture 1,000 nails working alone?
Choices:
5 1/3
10
11 1/5
18 4/7
Answer: B
Question: Two good train each 250 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km / hr and 30 km /hr respectively. Find the time taken by the slower train to pass the driver of the faster one.
Choices:
24 sec
48 sec
60 sec
None
Answer: A
Question: A train 360 m long is running at a speed of 36 km/hr. In what time will it pass a bridge 140 m long?
Choices:
50 sec
26 sec
27 sec
34 sec
Answer: A
Question: A train leaves Delhi at 9 a.m. at a speed of 30 kmph. Another train leaves at 2 p.m. at a speed of 40 kmph on the same day and in the same direction. How far from Delhi, will the two trains meet?
Choices:
849
600
849
940
Answer: B
Question: Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 45% took a marketing class last semester, and 50% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?
Choices:
50%
20%
15%
10%
Answer: B
Question: 10 distinct integers are arranged in ascending order. The range of the first 7 is 25 and that of last 7 is 30. What is the maximum range U of the 10 numbers?
Choices:
27
30
52
55
Answer: C
Question: Sequence F consists of 16 consecutive integers. If -6 is the least integer in sequence F, what is the range of the positive integers in sequence F?
Choices:
15
9
8
7
Answer: C
Question: A tourist purchased a total of $1,500 worth of traveler’s checks in $10 and $50 denominations, During the trip the tourist cashed 7 checks and then lost all of the rest. If the number of $10 checks cashed was three more or three less than the number of $50 checks cashed, what is the minimum possible value of the checks that were lost?
Choices:
$1,230
$1,290
$1,270
$1,150
Answer: A
Question: A man buys 100 lts of liquid which contains 25% of the liquid and the rest is water. He then mixes it with 90 lts of another mixture with 30% of liquid. What is the % of water in the new mixture?
Choices:
75
72.63
73
76
Answer: B
Question: What will be the next sequence in this series?
10,24,130,336,1342,_____?
Choices:
2184
2284
2884
2984
Answer: A
Question: A grocer has a sale of Rs. 6345, Rs. 6927, Rs.6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
Choices:
Rs. 4991
Rs. 5991
Rs. 6001
NOne
Answer: A
Question: The youngest of 4 children has siblings who are 3, 6, and 7 years older than she is. If the average (arithmetic mean) age of the 4 siblings is 30, what is the age of the youngest sibling?
Choices:
23
24
25
26
Answer: D
Question: People standing in a straight line are wearing alternating colored shirts. The pattern of shirts begins with red, followed by green, blue, white and yellow. This pattern continues (red, green, blue, white and yellow) until it ends with a white shirt. If there are more than 5 people in line, which of the following cannot be the number of people in the line?
Choices:
39
54
64
75
Answer: D
Question: What is the CP of Rs 100 stock at 9 discount, with 1/5% brokerage?
Choices:
96.3
91.2
96.7
96.21
Answer: B
Question: By travelling at 40 kmph, a person reaches his destination on time. He covered two-third the total distance in one-third of the total time. What speed should he maintain for the remaining distance to reach his destination on time?
Choices:
20 kmph
17 kmph
16 kmph
19 kmph
Answer: A
Question: If s, t, and p are consecutive integers such that s > t > p and the sum of s, t, and p is a multiple of 10, which of the following could be the value of s?
Choices:
1
9
10
12
Answer: A
Question: Divide Rs.32000 in the ratio 1:9?
Choices:
12000, 200098
12000, 20007
3200, 28800
12000, 20001
Answer: C
Question: In a certain game, you perform three tasks. You flip a quarter, and success would be heads. You roll a single die, and success would be a even. You pick a card from a full playing-card deck, and success would be picking a ten with red color card. If exactly one of these three tasks is successful, then you win the game. What is the probability of winning?
Choices:
51/104
25/52
1/52
51/52
Answer: A
Question: When tossing two coins once, what is the probability of heads on both the coins?
Choices:
1/4
3/4
None of these
2/5
Answer: A
Question: One night 20 percent of the female officers on a police force were on duty. If 100 officers were on duty that night and half of these were female officers, how many female officers were on the police force?
Choices:
180
250
500
1,000
Answer: B
Question: What is the greater of the two numbers whose product is 2496, given that the sum of the two numbers exceeds their difference by 64?
Choices:
B)108
C)110
D)78
of these
Answer: C
Question: On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004?
Choices:
Monday
Sunday
Wednesday
Friday
Answer: B
Question: The function f is defined for all positive integers n by the following rule: f(n) is the number of positive integers each of which is less than n and has no positive factor in common with n other than 1. If p is prime, then f(p) =
Choices:
P-1
(P+1)/2
(P-1)/2
2
Answer: A
Question: Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1680?
Choices:
1500
2889
27670
2771
Answer: A
Question: 21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement.
Choices:
3/37
9/42
5/41
7/43
Answer: B
Question: The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?
Choices:
7m
5m
2m
1m
Answer: C
Question: Find the value of 582964 x 99999 = m?
Choices:
58310607896
58295817036
58591650836
58310692816
Answer: B
Question: Maddie has 4 apples, if she give 2 to mike, how many does she have left?
Choices:
2
3
4
5
Answer: A
Question: The distance of the college and home of Rajeev is 80km. One day he was late by 1 hour than the normal time to leave for the college, so he increased his speed by 4km/h and thus he reached to college at the normal time. What is the changed (or increased) speed of Rajeev?
Choices:
10 km/h
60 km/h
20 km/h
90 km/h
Answer: C
Question: loga(ab)=x then logb(ab) is
Choices:
x/x-1
x(x-1)
x(x+1)
x+1
Answer: A
Question: The greatest possible length which can be used to measure exactly the length 9m, 4m 90cm, 11 m 20 cm is
Choices:
25 cm
10 cm
12 cm
43 cm
Answer: B
Question: For any positive number x, the function [x] denotes the greatest integer less than or equal to x. For example, [1] = 1, [1.367] = 1 and [1.999] = 1. If k is a positive integer such that k^2 is divisible by 45 and 80, what is the units digit of k^3/4000 ?
Choices:
1
27
54
Cannot be determined
Answer: C
Question: A 2-year certificate of deposit is purchased for W dollars. If the certificate earns interest at a n annual rate of 6 percent compound quarterly, which of the following represents the value, in dollars, of the certificate at the end of 2 years?
Choices:
k(1.06)^8
k(1.015)^2
W(1.015)^8
k(1.03)^4
Answer: C
Question: If difference between compound interest and simple interest on a sum at 10% P.a. for 2 years is Rs.65 then sum is
Choices:
s.6500
s.5800
s.6000
s.6200
Answer: A
Question: Find the number of zeroes in the expression 15*32*25*22*40*75*98*112*125
Choices:
9
7
6
5
Answer: A
Question: A trader marks his books 10% more than the cost price. If he allows 20% discount, then find his gain or loss percent?
Choices:
12% loss
4% loss
No profit No loss
None of these
Answer: A