antoine-444/aqua_rat_dataset huggingface dataset:
Question: A part-time employee’s hourly wage was increased by 25%. She decided to decrease the number of hours worked per week so that her total income did not change. By approximately what percent should the number of hours worked be decreased?
Choices:
15%
20%
50%
100%
Answer: B
Question: Find the median of the data 25, 37, 47, 18, 19, 26, 36.
Choices:
23
24
25
26
Answer: D
Question: Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother three years younger to her was born. What is the difference between the ages of her parents?
Choices:
4 years
5 years
7 years
8 years
Answer: B
Question: A batch of cookies was divided among three tins: 2/3 of all the cookies were placed in either the blue tin or the green tin, and the rest were placed in the red tin. If 1/4 of all the cookies were placed in the blue tin, what fraction E of the cookies that were placed in the other tins were placed in the green tin?
Choices:
9/4
5/9
7/5
9/7
Answer: B
Question: If the cost price is 96% of the selling price, then what is the profit percent?
Choices:
4.17%
6.12%
3.25%
5.75%
Answer: A
Question: It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the car is?
Choices:
3:1
3:4
3:9
3:6
Answer: B
Question: A train running at the speed of 48 km/hr crosses a pole in 9 seconds. Find the length of the train?
Choices:
120 meter
666 meter
155 meter
144 meter
Answer: A
Question: John distributes his pencil among his 4friends Rose, Mary, Ranjan, and Rohit in the ratio 1/2 : 1/3 :1/4:1/5 . What is the minimum no. of pencils that the person should have?
Choices:
65
70
77
98
Answer: C
Question: If the tens digit of positive integer x is 3 and the tens digit of positive integer y is 3, how many possible values of the tens digit of 2(x+y) can there be?
Choices:
3
4
5
6
Answer: B
Question: The editor of an anthology of short stories will select authors from a pool of 10 authors, of which 4 are female. If the anthology is to include the work of 6 authors of which at least 2 are female, in how many ways can the editor select the authors?
Choices:
165
175
185
195
Answer: C
Question: Three partners A,B,C starts a business. Twice A's capital is equal to thrice B's capital and B's capital is four times C's capital. Out of a total profit of Rs.15000 at the end of the year, B's share is
Choices:
Rs.5400
Rs.7500
Rs.6600
None
Answer: A
Question: I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
Choices:
280
287
115
191
Answer: A
Question: 82
a7
+ 6b
____
190
If a and b represent positive single digits in the correctly worked computation above, what is the value of a + 2b ?
Choices:
6
9
11
12
Answer: A
Question: Two persons Raj and Ramu started working for a company in similar jobs on January 1, 1991. Raj's initial monthly salary was Rs 400, which increases by Rs 40 after every year. Ramu's initial monthly salary was Rs 500 which increases by Rs 20 after every six months. If these arrangements continue till December 31, 200. Find the total salary they received during that period.
Choices:
Rs 144000
Rs 132000
Rs 152400
None of these
Answer: C
Question: A completes a work in 15 days and B complete the same work in 30 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
13 days
Answer: B
Question: Which of the following numbers is between 1⁄2 and 1⁄4?
Choices:
.55
.29
.22
.20
Answer: B
Question: if 2 pipes take an hour to fill a tank, then how long should 8 pipes take to fill the same tank?
Choices:
10 min
15 min
25 min
30 min
Answer: B
Question: Find √? /19 = 4 ?
Choices:
5776
304
1296
None
Answer: A
Question: Mr. Thomas invested an amount of 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be 3508, what was the amount invested in Scheme B?
Choices:
6300
6400
6500
6600
Answer: B
Question: How many numbers between 200 and 400 begin or end with 2?
Choices:
60
100
110
120
Answer: C
Question: A square and an equilateral triangle have the same perimeter. What is the ratio of the area of the circle circumscribing the square to the area of the circle inscribed in the triangle?
Choices:
15:8
27/8
8:9
8:15
Answer: B
Question: If 600y is a perfect square (the square of an integer) and y is a positive integer, then which of the following must also be an integer?
I y/6
II y/42
III y/30
Choices:
I only
I and II only
I and III only
I, II, and III
Answer: A
Question: If m times the mth series of an A.P. is equal to n times its nth series, what is the (m+n)th term of the A.P. ?
Choices:
m
n
0
2
Answer: C
Question: A fruit salad mixture consists of apples, peaches, and grapes. There are 2 times as many pounds of apples as grapes and 3 times as many pounds of peaches as grapes. If a mixture that has an average (arithmetic mean) of 24 pounds per fruit, how many more pounds of apples than grapes does the mixture have?
Choices:
12
8
6
5
Answer: B
Question: Kim finds a 5-meter tree branch and marks it off in thirds and fifths. She then breaks the branch along all the markings and removes one piece of every distinct length. What fraction of the original branch remains?
Choices:
1/2
7/5
3/5
7/5
Answer: C
Question: A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Choices:
277
350
882
121
Answer: B
Question: If log a/b + log b/a = log (a + b), then:
Choices:
a - b = 1
a + b = 1
15
22
Answer: B
Question: At Tea factory, each employee working the second shift produced 2/3 as many widgets as each employee working the first shift. If the first shift has 3/4 as many employees, what fraction of the total widgets did the second shift produce?
Choices:
8/17
8/9
9/8
17/8
Answer: A
Question: The mean of 50 observations was 36. It was found later that an observation 58 was wrongly taken as 43. The corrected new mean is?
Choices:
36.1
36.5
36.9
36.3
Answer: D
Question: In a class, the average age of 40 boys is 18 years and the average of 30 girls is 15 years. what is the average age of the whole class?
Choices:
12.3 Years
12.6 Years
16.7 Years
15 Years
Answer: C
Question: In a theater, the first row has 14 seats and each row has 2 more seats than previous row. If the last row has 56 seats, what is the total number of seats in the theater?
Choices:
770
790
800
810
Answer: A
Question: If the price of gold increases by 50%, find by how much the quantity of ornaments must be reduced, so that the expenditure may remain the same as before?
Choices:
33 1/3
35
25
20
Answer: A
Question: A motorcycle importer is planning on increasing the price of a certain model by $1000. At this new price 5 fewer motorcycles will be sold per month, but the total revenues will increase by $26,000 to $594,000. What is the number of motorcycles the manufacturer will sell at this new price?
Choices:
61
66
71
76
Answer: B
Question: Which of the following lines is perpendicular to y = − 2x + 3 and has the same y-intercept as y = 2x − 4?
Choices:
y = 1/2*x - 4
y = 1/2*x + 3
y = 2x + 3
y = 2x − 3
Answer: A
Question: For positive integers s and t, which of the following can be written as t^2?
Choices:
s^2+9
s^2+3
s^2-1
s^2-9
Answer: A
Question: If x is a number such that x^2 + 3x - 10 = 0 and x^2 + x - 20 = 0, then x =
Choices:
4
-4
5
-5
Answer: D
Question: Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 3 ½ hours if they are walking in the same direction?
Choices:
4 7/8 km
4 3/8 km
8 3/8 km
4 3/2 km
Answer: B
Question: Navjivan Express from Ahmedabad to Chennai leaves Ahmedabad at 6.30 a.m. and travels at 50 kmph towards Baroda situated 100 km away. At 7.00 a.m. Howrah-Ahmedabad Express leaves Baroda towards Ahmedabad and travels at 40 kmph. At 7.30 a.m. Mr Shah, the traffic controller at Baroda realizes that both the trains are running on the same track. How much time does he have to avert a head-on collision between the two trains?
Choices:
20 min
25 min
30 min
35 min
Answer: A
Question: A chemist mixes one liter of pure water with x liters of a 60% salt solution, and the resulting mixture is a 15% salt solution. What is the value of x?
Choices:
1/3
1/2
1
3
Answer: A
Question: There are 17 students in a certain class. On the day the test was given, Taqeesha was absent. The other 16 students took the test, and their average was 77. The next day, Taqeesha took the test, and with her grade included, the new average is 78. What is Taqeesha’s grade on the test?
Choices:
80
87
91
94
Answer: D
Question: A sum was put at simple interest at certain rate for 3 years. Had it been put at 1% higher rate it would have fetched Rs. 78 more. The sum is: A. Rs. 2,400 B. Rs. 2,100 C. Rs. 2,200 D.Rs. 2,480
Choices:
2600
2200
2300
2400
Answer: A
Question: Manoj borrowed Rs.3450 from Anwar at 6% p.a. simple interest for three years. He then added some more money to the borrowed sum and lent it to Ramu for the same time at 9% p.a. simple interest. If Manoj gains Rs.824.85 by way of interest on the borrowed sum as well as his own amount from the whole transaction, then what is the sum lent by him to Ramu?
Choices:
5355
2778
6787
1771
Answer: A
Question: On a certain date, Pat invested $8,000 at x percent annual interest, compounded annually. If the total value of the investment plus interest at the end of 10 years will be $32,000, in how many years total will the total value of the investment plus interest increase to $64,000?
Choices:
15
18
20
24
Answer: A
Question: 39x7 - 45x7 - 134x7 - 39x7 + 134x7 + 44x7 =
Choices:
-x7
2x7
3x7
None
Answer: A
Question: If a function f is defined by f(x)= -1/x for all non zero numbers x. If f(a) = -1/3 and f(ab) = 1/6 then b= ?
Choices:
1/2
-1/2
-2
-12
Answer: C
Question: 270 students appeared for an examination, of which 252 passed. What is the pass percentage?
Choices:
93(1/3)%
92(2/3)%
92%
None of these
Answer: A
Question: Nicky and Cristina are running a 100 meter race. Since Cristina is faster than Nicky, she gives him a 12 second head start. If Cristina runs at a pace of 5 meters per second and Nicky runs at a pace of only 3 meters per second, how many seconds will Nicky have run before Cristina catches up to him?
Choices:
30
40
25
60
Answer: A
Question: Initially, the men and women in a room were in the ratio of 4 : 5. Then, 2 men entered the room and 3 women left the room. Then, the number of women doubled. Now there are 14 men in the room. How many W women are currently in the room?
Choices:
14
15
24
36
Answer: C
Question: The average weight of a 30 students increases by 2 kg when the weight of their teacher was added. If average weight of the group after including the weight of the teacher is 32 kg, what is the weight of their football coach?
Choices:
60 kg
61 kg
124 kg
91 kg
Answer: C
Question: The number of timeshare condos available at Sunset Beach is 3/5 the number of timeshare condos available at Playa del Mar. If the total number of timeshare condos available at the two beaches combined is 320, what is the difference between the number of condos available at Sunset Beach and the number of condos available at Playa del Mar?
Choices:
80
120
150
240
Answer: A
Question: Truck A is 25 miles ahead of Truck B, which is traveling the same direction along the same route as Truck A. If Truck A is traveling at an average speed of 49 miles per hour and Truck B is traveling at an average speed of 54 miles per hour, how long will it take Truck B to overtake and drive 15 miles ahead of Truck A?
Choices:
6 hours
8 hours
5 hours 45 minutes
3 hours
Answer: B
Question: A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes?
Choices:
7
6
4
3
Answer: C
Question: A 260-metre-long train crosses a 120-metre-long wall in 19 seconds. What is the speed of the train?
Choices:
49 km/hr
72 km/hr
70 km/hr
None of these
Answer: B
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:
2688
1198
1000
2321
Answer: C
Question: If x^2=x-2, then x^3=?
Choices:
3x-2
2x+1
-x-2
3x+4
Answer: C
Question: If 8 people can eat a gallon of ice cream in 10 days, how long would it take 5 people to eat a gallon of ice cream?
Choices:
14 days
16 days
18 days
20 days
Answer: B
Question: Find the value of 3/11 × [(1 + 1/3) (1 + 1/4) …………. (1 + 1/120)] is
Choices:
10
11
13
14
Answer: B
Question: If -2<= x <= 2 and 3 <= y <= 4, which of the following represents the range of all possible values of y-x?
Choices:
1 <= y-x <= 6
1 <= y-x <= 6
5 <= y-x <= 10
1 <= y-x <= 10
Answer: A
Question: A chair is bought for Rs.600/- and sold at a loss of 50% find its selling price
Choices:
s.300/-
s.560/-
s.590/-
s.580/-
Answer: A
Question: 16 children are to be divided into two groups A and B of 10 and 6 children. The average percent marks obtained by the children of group A is 75 and the average percent marks of all the 16 children is 76. What is the average percent marks of children of group B ?
Choices:
233/3
533/3
293/3
433/3
Answer: A
Question: Three table runners have a combined area of 204 square inches. By overlapping the runners to cover 80% of a table of area 175 square inches, the area that is covered by exactly two layers of runner is 24 square inches. What is the area of the table that is covered with three layers of runner?
Choices:
20 square inches
24 square inches
28 square inches
30 square inches
Answer: A
Question: What is the sum of all the prime numbers greater than 50 but less than 70?
Choices:
248
246
240
241
Answer: C
Question: How many positive three-digit integers are divisible by both 5 and 7?
Choices:
15
18
20
26
Answer: D
Question: If x = 6^36 and x^x = 6^k, what is k?
Choices:
6^38
6^72
6^216
6^432
Answer: A
Question: From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is?
Choices:
1/26
1/24
1/21
1/22
Answer: A
Question: Which of the following Equation is NOT equivalent to 25x^2 = y^2 - 36?Which of the following Equation is NOT equivalent to 25x^2 = y^2 - 4?
Choices:
5x = y - 6
25x^2 = (y + 2)(y - 2)
5x = y - 2
x^2 = (y^2 - 4)/25
Answer: A
Question: If m is an integer such that (-2)^2m=2^(6-m) then m=?
Choices:
2
3
5
6
Answer: A
Question: The least number of complete years in which a sum of money put out at 20% C.I. will be more than doubled is?
Choices:
4
5
3
1
Answer: A
Question: What Is The Smallest Positive Integer That Leaves A Remainder Of 1 When Divided By 2, Remainder Of 2 When Divided By 3, A Remainder Of 3 When Divided By 4, And A Remainder Of 9 When Divided By 10?
Choices:
59
60
61
62
Answer: A
Question: Of the four numbers, whose average is 100, the first is one-fourth of the sum of the last three. The first number is ?
Choices:
29
80
48
10
Answer: B
Question: If the mobile is bought by rs 490 and sold by rs 465.50.find loss%.
Choices:
2%
7%
5%
9%
Answer: C
Question: Suppose 6 monkeys take 6 minutes to eat 6 bananas. How many monkeys would it take to eat 18 bananas in 18 minutes?
Choices:
10
11
6
13
Answer: C
Question: A certain manufacturer produces items for which the production costs consist of annual fixed costs totaling $130,000 and variables costs averaging $5 per item. If the manufacturer’s selling price per item is $15, how many items the manufacturer produce and sell to earn an annual profit of $150,000?
Choices:
18,667
28,000
35,000
40,000
Answer: B
Question: The length of a rectangular plot is thrice its width. If the area of the rectangular plot is 768 sq meters, then what is the width (in meters) of the rectangular plot?
Choices:
16 m
35 m
54 m
43 m
Answer: A
Question: A bag with 100 kgs potatoes have 99% water. It is kept in the open under the sunlight. After sometime, little amount of water got evaporated and reduced to 98%. What is the weight now ?
Choices:
50 kg
60 kg
70 kg
80 kg
Answer: A
Question: A company can manufacture 1000 phones in a day. One-fifth of the phones produced are defective and one-quarter of all phones produced are rejected by quality control technician. If one-tenth of the nondefective phones are rejected by mistake, and if all the phones not rejected are sold, then what percent of the phones sold by the company are defective?
Choices:
4%
24%
2%
8%
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:
760 km
900 km
600 km
340 km
Answer: C
Question: The unit digit in the product (784 x 618 x 917 x 463) is:
Choices:
2
9
1
8
Answer: A
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
5 kmph
7 kmph
8 kmph
Answer: A
Question: x is a positive integer of T less than 500. When x is divided by 7, the remainder is 1; when x is divided by 3, the remainder is 2. How many x are there?
Choices:
22
23
24
25
Answer: C
Question: Arya starts cycling along the boundaries of the squares. She starts from a point A and after 90 minutes she reached to point C diagonally opposite to A. If she is travelling with 28km/hr, then find the area of square field.
Choices:
225
325
441
None of these
Answer: C
Question: A number when divided by a divisor leaves a remainder of 24.
When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?
Choices:
37
38
39
41
Answer: A
Question: How many different pairs of positive integers (a, b) satisfy the equation 1/a+1/b=34/51 ?
Choices:
3
2
1
0
Answer: D
Question: A bus covered a distance of 250 km, partly at an average speed of 40 kmph and partly at 60 kmph. If the total time taken is 5.2 hours, then the distance covered at 40 kmph is
Choices:
120km
100km
124km
none of these
Answer: C
Question: A cuboidal block 6cm x 9cm x 12cm is cut up into an exact number of equal cubes.The least possible number of equal cubes will be
Choices:
9
24
30
26
Answer: B
Question: In a class there are 19 boys and 10 girls. In how many ways can a boy and a girl be selected?
Choices:
500
277
190
255
Answer: C
Question: A sum of money triples itself in twelve years at simple interest. Find the rate of interest?
Choices:
16 6/3 %
19 2/3 %
16 3/3 %
16 2/3 %
Answer: D
Question: What will Rs.1500 amount to in three years if it is invested in 20% p.a. compound interest, interest being compounded annually?
Choices:
2592
2678
2540
2440
Answer: A
Question: Find the average of all prime numbers between 10 and 30.
Choices:
33.6
39.8
18.6
None
Answer: C
Question: 3 buffaloes eat as much as 4 cows or 2 oxen. At a farm, there are 15 buffaloes, 8 oxen, and 24 cows. The fodder for these cattle is available for 24 days. If 40 more cows and 15 more buffaloes are brought in, how many days will the fodder last?
Choices:
12
15
18
21
Answer: A
Question: If x is an integer, and 100 < x^2 <= 361, which of the following is the sum of all possible values of x?
Choices:
124
116
105
None of the above
Answer: D
Question: Simplify: 0.72*0.43+0.12*0.34
Choices:
0.3504
0.4889
0.6412
0.4612
Answer: A
Question: A can do a job in 18 days and B can do it in 30 days. A and B working together will finish thrice the amount of work in ------- days?
Choices:
22 ½ days
33 3/4 days
12 ½ days
None of these
Answer: B
Question: 54, 61, 57, 9, 55, 4, 9.
Which of the following numbers is lower than the median but greater than the mean of the set of the numbers in the list?
Choices:
30
47
54
56
Answer: B
Question: The ratio of the radius of two circles is 1: 3, and then the ratio of their areas is?
Choices:
1: 1
1: 9
1: 4
1: 3
Answer: B
Question: In one hour, a boat goes 21 km/hr along the stream and 11 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Choices:
13 kmph
14 kmph
15 kmph
16 kmph
Answer: D
Question: The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field?
Choices:
32 m
30 m
35 m
38 m
Answer: A
Question: 1/2, 1/4, ....
In the sequence above each term after after the first one-half the previous term. If x is the tenth term of the sequence, then x satisfies which of the following inequalities?
Choices:
0.1 < x < 1
0.001 < x < 0.01
0.0001 < x < 0.001
0.00001 < x < 0.0001
Answer: A
Question: If d is a positive integer greater than 1, what is the sum of the multiples of d from d to d^2, inclusive?
Choices:
d^2(d + 1)/2
d^2(d-1)
(x^3 + 2x)/2
x(x-1)^2
Answer: A
Question: At a certain zoo, the ratio of sea lions to penguins is 4 to 11. If there are 84 more penguins than sea lions at the zoo, how many sea lions are there?
Choices:
36
48
72
132
Answer: B
Question: Jane makes toy bears. When she works with an assistant, she makes 80 percent more bears per week and works 10 percent fewer hours each week. Having an assistant increases Jane’s output of toy bears per hour by what percent W?
Choices:
80%
100%
180%
200%
Answer: B
Question: if length of rectangle is increased by 10%, and breadth is decreased by 10%.what will it effect on area of rectangle?
Choices:
1% increase
1% decrease
2% increase
2% decrease
Answer: B
Question: if p/q=3/4
then3p+6q=?
Choices:
25/2
20/4
33/4
25/3
Answer: C
Question: If 9x-3y=12 and 3x-5y=7 then 6x-2y = ?
Choices:
8
7
5
3
Answer: A
Question: Anand and Deepak started a business investing Rs. 6,000 and Rs. 8,000 respectively. Out of a total profit of Rs.4,600. Deepak's share is?
Choices:
s. 2628.57
s. 2450.32
s. 3400.41
s. 2400.32
Answer: A
Question: The prime sum of an integer n greater than 1 is the sum of all the prime factors of n, including repetitions. For example , the prime sum of 12 is 7, since 12 = 2 x 2 x 3 and 2 +2 + 3 = 7. For which of the following integers is the prime sum greater than 34 ?
Choices:
512
550
620
750
Answer: C
Question: A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Choices:
1.9
1.7
1.5
1.1
Answer: C
Question: The factorial expression 13!/2! is not divisible by which of the following integers?
Choices:
5
6
7
none of these
Answer: D
Question: 16.02 Ã— 0.0001 = ?
Choices:
0.001602
1.6021
0.01602
None of these
Answer: A
Question: For how many different pairs of positive integers (a, b) can the fraction 2/15 be written as the sum 1/a + 1/b ?
Choices:
5
8
9
10
Answer: C
Question: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Choices:
16 sec
19 sec
11 sec
12 sec
Answer: A
Question: The maximum number of students among them 1340 pens and 1280 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils?
Choices:
30
20
45
90
Answer: B
Question: If x + y = 3 and y/x= 2 then y = ?
Choices:
1/2
1
3/2
2
Answer: D
Question: How many gallons of milk that is 10 percent butter-fat must be added to 8 gallons of milk that is 35 percent butterfat to obtain milk that is 20 percent butterfat?
Choices:
12
14
16
28
Answer: A
Question: The positive integer f is divisible by 10. What is the remainder of dividing f(2+4)(1+f) by 5?
Choices:
0
2
3
4
Answer: A
Question: A certain number when divided by 39 leaves a remainder 19, what is the remainder when the same number is divided by 13?
Choices:
8
9
6
4
Answer: C
Question: At a certain company, each employee has a salary grade s that is at least 1 and at most 7. Each employee receives an hourly wage p, in dollars, determined by the formula p = 9.50 + 0.25(s – 1). An employee with a salary grade of 7 receives how many more dollars per hour than an employee with a salary grade of 1?
Choices:
$1.00
$1.25
$1.50
$1.75
Answer: C
Question: The greatest common factor of 16 and the positive integer n is 4, and the greatest common factor of n and 45 is 3. Which of the following could be the greatest common factor of n and 30?
Choices:
30
50
42
70
Answer: A
Question: Working alone, sawyer finishes cleaning half the house in a third of the time it takes Nick to clean the entire house alone. sawyer alone cleans the entire house in 6 hours. How many hours will it take Nick and sawyer to clean the entire house if they work together?
Choices:
2
2.4
3
3.6
Answer: D
Question: A coin is tossed until sequence HTH appears (H denotes the fall of heads, T denotes the fall of tails). What is the probability W that the game will end after the fourth throw?
Choices:
3/32
1/8
3/16
1/4
Answer: B
Question: The area of sector of a circle whose radius is 12 metro and whose angle at the center is 42° is?
Choices:
58.8 m2
52.8 m2
52.3 m2
51.8 m2
Answer: B
Question: A motor starts with the speed of 70 kmph with its speed increasing every two hours by 10 kmph. In how many hours will it cover 345 kms?
Choices:
4 1⁄2 hours
4 hours 5 minutes
Cannot be determined
None of these
Answer: A
Question: 0.5, 0.55, 0.65, 0.8, ?
Choices:
1
5
8
9
Answer: A
Question: The ratio of ducks and frogs in a pond is 37 : 39 respectively. The average number of ducks and frogs in the pond is 150. What is the number of frogs in the pond ?
Choices:
154
156
144
None
Answer: A
Question: If each digit in the set of A = (6,7,8,9) is exactly used once, in how many ways can the digits be arranged such that the 6 and 7 are not adjacent?
Choices:
12
18
20
22
Answer: A
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 13%, then the cost price of the article is:
Choices:
545
555
664
5598
Answer: A
Question: The largest 4 digit number exactly divisible by 88 is:
Choices:
9824
9944
10000
11000
Answer: B
Question: A 80 cm long wire is to be cut into two pieces so that one piece will be 3/5th of the other, how many centimeters will the shorter piece be?
Choices:
A)30
C)83
D)21
E)52
Answer: A
Question: What is the are of an equilateral triangle of side 16 cm?
Choices:
10
88
77
12
Answer: A
Question: A batsman scored 150 runs which included 3 boundaries and 8 sixes. What % of his total score did he make by running between the wickets
Choices:
50%
65%
70%
75%
Answer: D
Question: A man sells 12 candies for rs12 and loses rs 2.40. if he sells 12 candies for rs 16. how much does he gain or loss?
Choices:
loses rs6
gain rs6.40
loses rs 1.60
gains rs1.60
Answer: D
Question: A mixture of 150 liters of wine and water contains 10% water. How much more water should be added so that water becomes 25% of the new mixture?
Choices:
30
20
15
16
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:
Â¹Â²Câ‚‡ * 10
Â¹Â²Câ‚‡ * Â¹â°Câ‚…
12 * Â¹â°Câ‚…
None of these
Answer: B
Question: A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
Choices:
5 months
6 months
8 months
9 months
Answer: C
Question: A perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer. How many positive integers n are there such that n is less than 30,000 and at the same time n is a perfect square and a perfect cube?
Choices:
5
6
7
8
Answer: A
Question: The bankers discount and the true discount of a sum at 10% per annum simple interest for the same time are Rs.180 and Rs.120 respectively. What is the sum and the time?
Choices:
Sum = Rs.400 and Time = 6 years
Sum = Rs.320 and Time = 4 years
Sum = Rs.360 and Time = 5 years
None of these
Answer: C
Question: The HCF and LCM of two numbers m and n are respectively 6 and 210. If m + n = 80, then 1/m + 1/n is equal to
Choices:
3/35
5/37
4/63
None
Answer: C
Question: If f(x) = 2x − √x and g(x) = x^2, what is f(g(3))?
Choices:
8
17
32
15
Answer: D
Question: A car driver travels from the plains to the hill station, which are 200 km apart at an average speed of 45km/hr. in return trip, he covers the same distance at an average speed of 20km/hr. the average speed of the car over the entire distance of 400 km is
Choices:
26.7km/hr
27.7km/hr
37.9km/hr
8.45km/hr
Answer: B
Question: 4539,1513,378.25,75.65,12.60 ?
Choices:
6.87
1.8
4.68
9.87
Answer: B
Question: If 2A = 3B = 4C, find A : B : C
Choices:
5 : 3 : 1
3 : 2 : 1
7 : 3 : 2
6 : 4 : 3
Answer: D
Question: A salt manufacturing company produced a total of 5000 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year?
Choices:
28886
5550
2678
2681
Answer: B
Question: A square has a side 5 centimeters shorter than the side of a second square. The area of the larger square is four times the area of the smaller square. Find the side of each square
Choices:
5
7
8
9
Answer: A
Question: . A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
Choices:
20%
18%
25%
35%
Answer: A
Question: The simple interest on a sum of money will be Rs.1000 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
Choices:
3799
1200
2693
2000
Answer: D
Question: In a 80 meters race A beats B by 56 m or 7 seconds. A's time over the course is:
Choices:
3 seconds
10 seconds
18 seconds
28 seconds
Answer: A
Question: A man invests Rs.5000 for 3 years at 5% p.a. compound interest reckoned yearly. Income tax at the rate of 20% on the interest earned is deducted at the end of each year. Find the amount at the end of the third year
A).	B)
C) D)
Choices:
Rs. 5624.32
Rs.5634
Rs.5976
Rs.5376
Answer: A
Question: A boat can move upstream at 25 kmph and downstream at 35 kmph, then the speed of the current is?
Choices:
5
7
4
1
Answer: A
Question: A shopkeeper sells 500 metres of cloth for Rs. 18000 at a loss of Rs.5 per metre. Find his cost price for one metre of cloth?
Choices:
27
29
50
41
Answer: D
Question: An empty pool being filled with water at a constant rate takes 6hours to fill to 3/5 of its capacity.how much more time will it take to finish filling the pool?
Choices:
5hr 20min
4hr 48min
3 hr 12min
2hr 40 min
Answer: C
Question: How many meters are there in 660 centimeters?
Choices:
6.6 meters
600 meters
6.5 meters
6 meter
Answer: A
Question: Consider a Number 3.1n2
n represent the hundredths digit in the number shown above. If the number is rounded to the nearest hundredth, which of the following could be the tenths digit in the rounded number?
Choices:
1
3
4
3
Answer: A
Question: If x and y are integers and x=50y + 39, which of the following must be odd?
Choices:
x + y
3X-1
X+2Y
3x+1
Answer: C
Question: In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is of the number of students of 8 years of age which is 48. What is the total number of students in the school?
Choices:
80
120
150
100
Answer: D
Question: In the Bombay Stock Exchange there are 45% female employees and thus the number of male employees is exceeded by 72. Hence the total no. of employees in the BSE is:
Choices:
720
800
550
None
Answer: A
Question: Find the simple interest on the Rs. 2000 at 25/4% per annum for the period from 4th Feb 2005 to 18th April 2005
Choices:
Rs 25
Rs 35
Rs 40
None of these
Answer: A
Question: A man is 18 years older than his son. In eight years, his age will be twice the age of his son. The present age of this son is
Choices:
10 years
15 years
20 years
25 years
Answer: A
Question: Calculate 73196 ÷ ? = 631
Choices:
116
119
116
32
Answer: C
Question: The angles of a triangle are in the ratio 2: 6 : 4. Find the measurement of the 3 angles of triangle.
Choices:
60°
20°
30°
80°
Answer: A
Question: If it is 6:27 in the evening on a certain day, what time in the morning was it exactly 2,880,715 minutes earlier? (Assume standard time in one location.)
Choices:
6:24
6:27
6:30
6:32
Answer: D
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions?
Choices:
704 m
774 m
714 m
744 m
Answer: A
Question: Machines X and Y produce bottles at their respective constant rates. Machine X produces k bottles in 6 hours and machine Y produces k bottles in 3 hours. How many hours does it take machines X and Y , working simultaneously , to produce 12k bottles?
Choices:
8
12
18
24
Answer: D
Question: In Town X, 64 percent of the population are employed, and 44 percent of the population are employed males. What percent of the employed people in Town X are females?
Choices:
55%
29%
40%
52%
Answer: B
Question: If R is a negative integer and K is a positive integer, which of the following could be the standard deviation of a set {-7, -5, -3, R, 0, 1, 3, K, 7}?
I. -1.5
II. -2
III. 0
Choices:
II only
III only
I and III only
None
Answer: D
Question: An investment of $100 was made in a certain account and earned interest that was compounded annually. The annual interest rate was fixed for the duration of the investment, and after 12 years the $100 increased to $400 by earning interest. In how many years after the initial investment was made the $1000 have increased to $8000 by earning interest at that rate?
Choices:
20
18
24
30
Answer: B
Question: A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?
Choices:
89
76
27
23
Answer: A
Question: Two Nascar stock cars take off from the starting line at the exact same time, heading in opposite directions. The Budweiser Car travels at 145 miles per hour, while the Stella Artois car travels at 150 miles per hour. At this rate, and ignoring other variable, how long will the cars have to drive in order to be 500 miles, in total, from each other?
Choices:
1.27 hours
1.73 hours
2 hours
1.69 hours
Answer: D
Question: How many 3-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHM', if repetition of letters is not allowed?
Choices:
504
740
760
780
Answer: A
Question: 10, 14, 26, 42, 70, ?
Choices:
98
114
126
136
Answer: B
Question: A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 60%?
Choices:
800
772
652
271
Answer: A
Question: A trader cheats both his supplier and customer by using faulty weights. When he buys from the supplier, he takes 10% more than the indicated weight. When he sells to his customer, he gives the customer a weight such that 30% of that is added to the weight, the weight claimed by the trader is obtained. If he charges the cost price of the weight that he claims, find his profit percentage.
Choices:
43%
99.33%
75.109%
47%
Answer: A
Question: Fox jeans regularly sell for $10 a pair and Pony jeans regularly sell for $18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $9 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 22 percent, what is the discount rate on Pony jeans?
Choices:
10%
11%
12%
40%
Answer: D
Question: The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
Choices:
37
342
288
261
Answer: B
Question: John must arrange 3 different physics books and 4 different mathematics books on one shelf. If the first book on the leftmost side is a mathematics book and no physics book is next to another physics book. How many different arrangements exist?
Choices:
9
36
120
144
Answer: D
Question: A bag contains 50 P, 25 P and 10 P coins in the ratio 5: 9: 4, amounting to Rs. 206. Find the number of coins of each type respectively.
Choices:
200, 460,160
200, 360,160
200, 360,138
200, 360,129
Answer: B
Question: If (A-B-C+D = 18) and (A+B-C-D = 4), what is the value of (B-D)^2?
Choices:
49.
12.
16.
64.
Answer: A
Question: A vendor sells 60 percent of the apples he had and throws away 40 percent of the remainder. The next day, the vendor sells 50 percent of the remaining apples and throws away the rest. In total, what percent of his apples does the vendor throw away?
Choices:
26
28
30
32
Answer: B
Question: A bookshop had science and art books in the ratio of 2:5. By the end of the week, 20% of both type of books were sold and 2240 books were unsold. How many science books were there at the starting?
Choices:
750
780
800
820
Answer: C
Question: A perfect cube is an integer whose cube root is an integer. For example, 27, 64 and 125 are perfect cubes. If p and q are perfect cubes, which of the following will not necessarily be a perfect cube?
Choices:
pq
pq + 27
-p
(p - q)^6
Answer: B
Question: find value for x from given equation? x + 1 = -3
Choices:
-4
-3
-5
5
Answer: A
Question: If n is a positive integer, which of the following is a possible value of |71 - 5n| ?
Choices:
5
19
15
20
Answer: B
Question: SI on a certain sum of money for 3 yrs at 8 percent /annum is 1/2 the CI on Rs.4000 for 2 yrs at 10 percent/ annum. The sum placed on SI is?
Choices:
Rs. 1650
Rs. 1750
Rs. 1800
Rs. 1900
Answer: B
Question: The sum of two numbers is 40 and their product is 300. What will be the sum of their reciprocals?
Choices:
8/75
75/4
2/15
75/6
Answer: C
Question: The length of a rectangle is four times its width. If the area is 100 m2 what is the length of the rectangle?
Choices:
40 m
80 m
20 m
70 m
Answer: C
Question: There are 15 boys and 10 girls in a class. If three students are selected at random, in how many ways that 1 girl or 2 boys are selected ?
Choices:
105
115
120
125
Answer: B
Question: A shopkeeper sells 20% of his stock at 10% profit ans sells the remaining at a loss of 5%. He incurred an overall loss of Rs. 400. Find the total worth of the stock?
Choices:
66000
53000
20000
45000
Answer: C
Question: In a plastic company, 14 men working 8 hrs per day complete a piece of work in 12 days. To complete the same work in 6 days, working 14 hours a day, the number of men required is :
Choices:
16
12
20
22
Answer: A
Question: Five friends, Peter, Eric, Melyssa, Tony, and Carl, are pooling their money to buy a $1300 item. Peter has twice as much money as Melyssa. Tony has $60 more than Peter. Carl has 20% more than Tony and Eric has twice as much as Peter. If they put all their money together and spend the $1300, they will have $38 left. How much money does Peter have?
Choices:
$270
$320
$350
$220
Answer: D
Question: Tickets for all but 100 seats in a 10,000-seat stadium were sold. Of the tickets sold, 30% were sold at half price and the remaining tickets were sold at the full price of $2. What was the total revenue from ticket sales?
Choices:
$16,830
$18,000
$19,800
$21,780
Answer: A
Question: In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100?
Choices:
27
25
21
17
Answer: B
Question: A person distributed 20% of his income to his 3 children each. He deposited 25% of his income to his wife's account. He donated 5% of remaining amount to an orphan house.Finally he has $40000. Find his total income?
Choices:
B)562000
C)800000
D)400000
E)652000
Answer: C
Question: A part of certain sum of money is invested at 9% per annum and the rest at 12% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?
Choices:
4:8
4:3
4:0
4:9
Answer: B
Question: In what time will a railway train 50 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Choices:
5 sec
3 sec
6 sec
1 sec
Answer: A
Question: With what number must 3.475817 be multiplied in order to obtain the number 34.75817?
Choices:
1000
10,000
100,000
None of these
Answer: D
Question: The average of 11 results is 44, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Choices:
122
118
125
123
Answer: A
Question: In a school 50% of the students are younger than 10, 1/20 are 10 years old and 1/10 are older than 10 but younger than 12, the remaining 70 students are 12 years or older. How many students are 10 years old?
Choices:
10 students
30 students
40 students
50 students
Answer: A
Question: Pointing to an old man, Kailash said, "His son is my son's uncle." How is the old man related to Kailash ?
Choices:
Uncle
Father
Grandfather
Sister
Answer: B
Question: An automobile parts supplier charges $20 per package of gaskets. When a customer orders more than 10 packages of gaskets, the supplier charges 4/5 the price for each package in excess of 10. During a certain week, the supplier sold 60 packages of gaskets. If 20 percent of the gaskets went to Company X, 15 percent to Company Y, and the rest to Company Z, what was the total amount, in dollars, that the parts supplier received in payment for the gaskets?
Choices:
1045
1075
1015
1096
Answer: D
Question: On what dates of April,2001 did Wednesday fall ?
Choices:
2nd,9th,16th,23rd,30th
3rd,10th,17th,24th
4th,11th,18th,25th
None of these
Answer: C
Question: In a simultaneous throw of 2 dice what is the probability of getting a total of 6?
Choices:
5/36
2/11
3/13
1/5
Answer: A
Question: The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?
Choices:
14 cm
18 cm
20 cm
22 cm
Answer: B
Question: Find the least number of candidates in an examination so that the percentage of successful candidates should be 76.8%:
Choices:
115
125
135
145
Answer: B
Question: If the difference between the length and breadth of a rectangle is 23 m and its perimeter is 166 m, what is its area?
Choices:
1590
2530
2515
2520
Answer: A
Question: An article is bought for Rs.600 and sold for Rs.450, find the loss percent?
Choices:
18%
19 %
20%
25%
Answer: D
Question: A glass was filled with 10 ounces of water, and 0.02 ounce of the water evaporated each day during a 30-day period. What percent of the original amount of water evaporated during this period?
Choices:
0.06%
6%
2%
60%
Answer: B
Question: Two bullet train s 140 m and 180 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is:
Choices:
11.52 sec.
11.8 sec.
10.8 sec.
08.8 sec.
Answer: A
Question: M, N and O are inner angles in a triangle. If M= N+ O, what can't be the size of N?
Choices:
90 DEGREES
960 DEGREES
960 DEGREES
9660 DEGREES
Answer: A
Question: Mohan purchased 16 kgs of rice at the rate of Rs.26 per kg and 8 kgs of pulses at the rate of Rs.26 per kg. Whaat is the total amount that he paid to the shopkeeper?
Choices:
B)Rs.625
C)Rs.596
D)Rs.595
E)of these
Answer: A
Question: Raj writes a number. He sees that the number of two digits exceeds four times the sum of its digits by 3. If the number is increased by 18, the results is the same as the number formed by reversing the digits. Find the next immediate prime greater than the number.
Choices:
37
88
27
97
Answer: A
Question: Q' = 3Q - 3, what is the value of (5')' ?
Choices:
108
120
132
144
Answer: C
Question: The Racing magic takes 90 seconds to circle the racing track once. The Charging bull makes 40 rounds of the track in an hour. If they left the starting point together, how many minutes will it take for them to meet at the starting point for the second time?
Choices:
3
9
12
15
Answer: A
Question: How many strings of 6 letters can be made using only the letters A, B, and C, or only the letters D, E, and F ?
Choices:
2×3^6
3×3^6
2×2^6
6^6
Answer: A
Question: 10 men and 15 women together can complete a work in 7 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?
Choices:
667 days
177 days
187 days
350 days
Answer: D
Question: The Shopkeeper increased the price of a product by 25% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 76% of the required amount. What is the net difference in the expenditure on that product?
Choices:
13%
5%
17%
19%
Answer: B
Question: The simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on $4000 for 2 years at 10% per annum. The sum placed on simple interest is ?
Choices:
$1300
$1750
$2015
$1452
Answer: B
Question: In year Y imported machine tools accounted for 50 percent of total machine-tools sales in the United States, and Japanese imports accounted for 40 percent of the sales of imported machine tools. If the total sales of machine tools imported from Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars?
Choices:
10x
15x
17x
20x
Answer: A
Question: one prototyping machine can make 10 copies every 4 seconds. At this rate, How many copies
can the machine make in 6 min.?
Choices:
900
360
240
150
Answer: A
Question: How many integers N are prime numbers in the range 200 < N < 220?
Choices:
1
3
4
5
Answer: A
Question: In the kitchen of a busy restaurant, it takes M minutes to wash P pots. At this rate, how many hours does it take to wash 15P pots?
Choices:
4M
900M
M/900
M/4
Answer: D
Question: What is the diffference between the place value and face value of 2 in the numeral 6328?
Choices:
12
14
16
18
Answer: D
Question: A cistern has three pipes, A, B and C. The pipes A and B can fill it in 4 and 5 hours respectively and C can empty it in 2 hours. If the pipes are opened in order at 1, 2 and 3 A.M. When will the cistern be empty?
Choices:
4 PM
7 PM
5 PM
2 PM
Answer: C
Question: 20. A certain church bell rings the bell twice at half past the hour and four
times at the hour plus an additional number of rings equal to what ever
time it is. How many rings will the clock make from 6:20 in the morning
to 9:10 in the morning?
Choices:
36.
42.
46.
50.
Answer: B
Question: The cost C, in dollars, to remove p percent of a certain pollutant from a pond is estimated by using the formula C = 100,000p/(100 - p). According to this estimate, how much more would it cost to remove 90 percent of the pollutant from the pond than it would cost to remove 80 percent of the pollutant?
Choices:
$500,000
$50,000
$10,000
$5,000
Answer: A
Question: If y ≠ 3 and 3x/y is a prime integer greater than 2, which of the following must be true?
I. x = y
II. y = 1
III. x and y are prime integers.
Choices:
None
II only
III only
I and III
Answer: A
Question: A and B together can complete work in 10 days. A alone starts working and leaves it after working for 6 days completing only half of the work. In how many days it can be completed if the remaining job is undertaken by B?
Choices:
8
5
6
30
Answer: D
Question: Find the odd man out
2, 5, 10, 17, 26, 37, 50, 64
Choices:
26
64
27
17
Answer: B
Question: The speeds of three motor bikes are in the ratio 12 : 4 : 2. The ratio between the time taken by them to travel the same distance is :
Choices:
1 : 3 : 6
1 : 2 : 6
1 : 3 : 5
1 : 4 : 6
Answer: A
Question: Joe’s average (arithmetic mean) test score across 4 equally weighted tests was 40. He was allowed to drop his lowest score. After doing so, his average test score improved to 45. What is the lowest test score that was dropped?
Choices:
25
55
65
80
Answer: A
Question: If x+|x|+y=4 and x+|y|-y=6 what is x+y=?
Choices:
11
3
5
13
Answer: A
Question: Bob is about to hang his 8 shirts in the wardrobe. He has four different styles of shirt, two identical ones of each particular style. How many different arrangements are possible if no two identical shirts are next to one another?
Choices:
864
964
1064
None of these
Answer: A
Question: In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m?
Choices:
127.5 m
812.9 m
127.7 m
712.7 m
Answer: A
Question: If the area of a circle decreases by 25%, then the radius of a circle decreases by
Choices:
13%
36%
64%
None of these
Answer: A
Question: A and B complete a work in 50 days. A alone can do it in 40 days. If both together can do the work in how many days?
Choices:
0.185 days
0.065 days
0.045 days
0.0775 days
Answer: C
Question: Three dice are thrown together, Find the probability of getting a total of atmost 6?
Choices:
1/8
3/13
2/25
5/54
Answer: D
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Choices:
350
828
277
122
Answer: A