antoine-444/aqua_rat_dataset huggingface dataset:
Question: If x, y, and z are positive integers such that x^2 + y^2 + z^2 = , which of the following could be the values of x, y, and z?
I)x=10 y=20 z=30
II)x=5 y=30 z=13
III)x=20 y=-30 z=10
Choices:
II only
III only
I​ and II
I and III
Answer: D
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 40 percent of the drive from the center, what percent of the round-trip has the technician completed?
Choices:
40
70
80
60
Answer: B
Question: A man can row 30 km downstream and 20 km upstream in 4 hours. He can row 45 km downstream and 40 km upstream in 7 hours. Find the speed of man in still water?
Choices:
16.5
12.3
12.5
12.1
Answer: C
Question: 70, 75, 80, 85, 90, 105, 105, 130, 130, 130
The list shown consists of the times, in seconds, that it took each of 10 schoolchildren to run a distance of 400 on of meters. If the standard devastation of the 10 running times is 26.4 seconds, rounded to the nearest tenth of a second, how many of the 10 running times are more than 1 standard deviation below the mean of the 10 running times?
Choices:
two
three
four
five
Answer: A
Question: What is the remainder when (55)(57) is divided by 8?
Choices:
2
4
5
7
Answer: D
Question: If 40 sheep eat 40 bags of grass in 40 days. In how many days one sheep will eat one bag of grass?
Choices:
20
40
80
70
Answer: B
Question: Avinash covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?
Choices:
15 Kmph
25 Kmph
27 Kmph
30 Kmph
Answer: A
Question: A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
Choices:
860
890
900
950
Answer: A
Question: If (1/5)^m * (1/4)^4 = 1/(16*(10)^4), then m =
Choices:
2
1
4
8
Answer: C
Question: A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 4x km.
Choices:
30kmph
32kmph
40kmph
42kmph
Answer: B
Question: Suzy has a lot of skeins of yarn, she has blue, yellow, and red yarn. She has twice as much blue yarn as yellow yarn, and she has twice as much yellow yarn as she has red yarn. If she has X skeins of yarn, how many of the skeins are red, in terms of X?
Choices:
X/7
X/6
X/5
X/4
Answer: A
Question: The speed of a boat in upstream is 50 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
15 kmph
16 kmph
18 kmph
19 kmph
Answer: A
Question: The ratio, by volume, of bleach(B) to detergent(D) to water in a certain solution is 2 : 40 : 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:
60
40
80
70
Answer: A
Question: If m<0, which of the following represents a positive number?
Choices:
-d|d|
|d|d
|d|/d
d|d|
Answer: A
Question: Find the simple interest on $10000 at 7% per annum for 12 months?
Choices:
$500
$650
$700
$1000
Answer: C
Question: In how many ways can the letters D, G, G, I, T be arranged so that the two I's are not next to each other?
Choices:
36
72
96
128
Answer: A
Question: A positive integer x has 60 divisors and 7x has 80 divisors. What is the greatest integer y such that 7y7y divides n?
Choices:
1
2
3
4
Answer: B
Question: A third of Arunâ€™s marks in mathematics exceed a half of his marks in English by 10.If he got 230 marks in two subjects together how many marks did he got in English?
Choices:
180,60
160,90
150,80
None of them
Answer: C
Question: The length of the ribbon was originally 55cm. It was reduced in the ratio 11 : 7. What is its length now?
Choices:
12 cm
35 cm
44 cm
None of these
Answer: B
Question: The C.P of 10 pens is equal to the S.P of 14 pens. Find his gain % or loss%?
Choices:
loss 28.57%
loss 16 2/3%
loss 18 2/3%
loss 16 25%
Answer: A
Question: John distributes his pencil among his 4 friends Rose, Mary, Ranjan, and Rohit in the ratio 1/1 : 1/3 :1/4:1/5 . What is the minimum no. of pencils that the person should have?
Choices:
65
98
107
198
Answer: C
Question: If x and y are odd integers, which of the following must always be a non-integer
Choices:
-x^2y
y/x
xy/4
x/y
Answer: C
Question: What is the compound interest paid on a sum of Rs.3500 for the period of 2 years at 10% per annum.
Choices:
735
825
600
None of these
Answer: A
Question: After 10% of the inhabitants of a village disappeared, a panic set in during which 25% of the remaining inhabitants left the village. At that time, the population was reduced to 4860. What was the number of original inhabitants?
Choices:
7200
7400
7600
7800
Answer: A
Question: Which of the following points is symmetric with y=x at (-2,-3)?
Choices:
(-3,-2)
(2,1)
(-1,-2)
(-1,2)
Answer: A
Question: Find the odd man out. 12, 24, 34, 48, 64, 84
Choices:
34
24
12
64
Answer: A
Question: In 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:
Choices:
20 m
32 m
40 m
30 m
Answer: A
Question: John purchased some shirts and trousers for $800. He paid $400 less for the shirts than he did for the trousers. If he bought 5 shirts and the cost of a shirt is $20 less than that of a trouser, how many trousers did he buy?
Choices:
5
6
7
10
Answer: D
Question: A man spends 1/3rd of his salary on food. he spends 1/4th on rent and 1/5th on cloths. If he is left with 1760, then who much salary does he earn.
Choices:
8123
8222
8322
8422
Answer: A
Question: A car gets 24 miles to the gallon. If it is modified to use a solar panel, it will use only 75 percent as much fuel as it does now. If the fuel tank holds 12 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified?
Choices:
96
104
108
112
Answer: A
Question: 62, 60, 55, 53, 48, 46, ?
Choices:
23
41
25
28
Answer: B
Question: 240 is increased by 20%. Find the final number.
Choices:
210
180
288
220
Answer: C
Question: In a maths test, students were asked to find 5/16 of a certain number. One of the students by mistake found 5/6th of that number and his answer was 250 more than the correct answer. Find the number.
Choices:
280
384
480
500
Answer: C
Question: The average value of property of Mittal, Ambani and Singhania is Rs.11111 crore. The property of Singhania is as less than the property of Mittal is greater than the average property of both the Singhania and Mittal. The value of property of Ambani is?
Choices:
Rs. 11121 crore
Rs. 11111 crore
Rs. 12111 crore
Rs. 11611 crore
Answer: B
Question: Two pipes can fill the cistern in 10hr and 12 hr respectively, while the third empty it in 50hr. If all pipes are opened simultaneously, then the cistern will be filled in
Choices:
6.12 hr
8.5 hr
10 hr
None of these
Answer: A
Question: A car travels at a speed of 65 miles per hour. How far will it travel in 5 hours?
Choices:
225 miles
325 miles
425 miles
525 miles
Answer: B
Question: The ages of Rahul and Madhan differ by 16 years. Six years ago, Madhan’s age was thrice as that of Rahul’s,find their present ages
Choices:
14 years, 30 years
16 years, 34 years
18 years, 38 years
none of these
Answer: A
Question: The average age of a class of 39 students is 15 years. If the age of the teacher be included, then the average increases by3 months. Find the age of the teacher.
Choices:
25 years
8 years
6 years
12 years
Answer: A
Question: If .005^5 is represented in its shortest possible decimal form, how many 0’s to the right of the decimal point does it contain?
Choices:
8
9
10
11
Answer: D
Question: Annie will be half as old as Larry in 3 years. Annie will also be one-third as old as Jerome in 5 years. If Jerome is 14 years older than Larry, how old is Annie?
Choices:
7
19
26
34
Answer: A
Question: The ratio of boys to girls in Class A is 5 to 4. The ratio of boys to girls in Class B is 4 to 5. If the two classes were combined, the ratio of boys to girls in the combined class would be 17 to 22. If Class A has one more boy and two more girls than class B, how many girls are in Class A?
Choices:
9
10
11
12
Answer: C
Question: After working for 6 days, Ashok finds that only 1/3 rd of the work has been done. He employs Ravi who is 60% as efficient as Ashok. How many days more would Ravi take to complete the work?
Choices:
88
20
99
77
Answer: B
Question: (128.5 x 60) + (13.8 x 65) = ? x 25
Choices:
344.28
574.36
585.64
595.46
Answer: A
Question: A pack of people can complete a certain amount of work in 12 days. Two times the same number of persons will complete half of the work in?
Choices:
9 days
6 days
3 days
5 days
Answer: C
Question: A rectangular-shaped carpet that measures x feet by y feet is priced at $11. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)
Choices:
90xy
xy/90
xy/10
99/(xy)
Answer: D
Question: What is the value of 1 *1! +2 *2!+3 *3! + .............. n *n!
where n! means n factorial or n(n-1)(n-2) ............1.
Choices:
[(n+1)!/{n*(n−1)}]
(n+1)! −n!
(n+1)! −1!
None
Answer: C
Question: A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?
Choices:
200
289
128
192
Answer: A
Question: How many bricks, each measuring 25 cm x 11 cm x 6 cm, will be needed to build a wall of 2 m x 3 m x 2 cm?
Choices:
6000
73
7200
8600
Answer: B
Question: Steve gets on the elevator at the 11th floor of a building and rides up at a rate of 72 floors per minute. At the same time Joyce gets on an elevator on the 61st floor of the same building and rides down at a rate of 78 floors per minute. If they continue traveling at these rates, at which floor will their paths cross?
Choices:
28
30
35
44
Answer: C
Question: A dealer originally bought 300 identical batteries at a total cost of q dollars. If each battery was sold at 50 percent above the original cost per battery, then, in terms of q, for how many dollars was each battery sold?
Choices:
q/200
450q
q/300
450/q
Answer: A
Question: The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
Choices:
27
30
34
35
Answer: A
Question: A box contains either blue or red flags. The total number of flags in the box is an even number. A group of children are asked to pick up two flags each. If all the flags are used up in the process such that 60% of the children have blue flags, and 70% have red flags, what percentage of children have flags of both the colors?
Choices:
10%
15%
20%
30%
Answer: D
Question: A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 4x km.
Choices:
18
32
19
12
Answer: B
Question: A motorcyclist goes from Bombay to Pune, a distance of 288 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Choices:
1:5
1:4
2:3
1:8
Answer: C
Question: John bought 2 shares and sold them for $78 each. If he had a profit of 20% on the sale of one of the shares but a loss of 20% on the sale of the other share, then on the sale of both shares John had
Choices:
a profit of $6.5
a loss of $6.5
a loss of $10
neither a profit nor a loss
Answer: B
Question: A tank contains 10,000 gallons of a solution that is 6 percent sodium chloride by volume. If 6,000 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
Choices:
3.75%
6.25%
6.67%
15%
Answer: D
Question: In the following sequence: [x, y, z, 6, 8, 16, 28] each number is equal to the sum of the three numbers preceding it. What is x+2y?
Choices:
6
5
3
4
Answer: D
Question: If |x + 3| = 15, what is the sum of all the possible values of x?
Choices:
-12
-8
-3
11
Answer: C
Question: list of salaries of 8 employees are listed below. What is the median salary? $40,000, $29,000, $35,500, $31,000, $43,000, $30,000, $27,000, $32,000
Choices:
$21,000
$22,500
$30,550
$31,500
Answer: D
Question: What is the remainder when 3^26 is divided by 5?
Choices:
1
2
3
4
Answer: D
Question: Pipe A can fill a tank in 16 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes?
Choices:
25
26
28
21
Answer: D
Question: Two trains of equal lengths are running at speeds of 30 kmph and 60 kmph. The two trains crossed each other in 30 seconds when travelling in opposite direction. In what time will they cross each other when travelling in the same direction?
Choices:
90 sec
78 sec
87 sec
26 sec
Answer: A
Question: If December 3rd, 1999 is a Friday, what day is January 8th, 2000?
Choices:
Thursday
Friday
Saturday
Sunday
Answer: C
Question: If the number of fatalities from road accidents declined from 9,680 in 1988 to 9,600 in 1989 and then declined a further 20% from 1989 to 1990, what was the approximate percentage decline in the number of fatalities from 1988 to 1990?
Choices:
16
21
37
43
Answer: B
Question: A password for a computer uses four digits from 0 to 9, inclusive. What is the probability that the digits of the password solely consist of prime numbers or zero?
Choices:
1/16
1/8
2/5
1/2
Answer: A
Question: A couple who own an appliance store discover that if they advertise a sales discount of 10% on every item in the store, at the end of one month the number of total items sold increases 12%. Their gross income from sales for one month increases by what percent?
Choices:
0.8%
2%
4%
8%
Answer: A
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 18km/hr, then find the area of square field.
Choices:
182.25
325
425
None of these
Answer: A
Question: In 10 years, A will be twice as old5as B was 10 years ago. If A is now 11 years older than B, the present age of B is
Choices:
37
39
41
42
Answer: C
Question: Company X sells a selection of products at various price points. Listed below are unit sales made for one particular day. How many unit sales on that day were greater than the mean sale price but less than the median sale price?
$50, $50, $97, $97, $97, $120, $125, $155, $199, $199, $209
Choices:
1
2
3
4
Answer: A
Question: A towel, when bleached, lost 20% of its length and 10% of its breadth. What is the percentage decrease in area?
Choices:
28
24
20
22
Answer: A
Question: Cecilia, Robbie, and Briony all bought stamps. The number of stamps Cecilia purchased was equal to a single digit. The number of stamps only one of them purchased was divisible by 4. The number of stamps one of them bought was an even number. Which of the following could represent the numbers of stamps each purchased?
Choices:
7, 9, 17
6, 9, 12
5, 15, 18
9, 10, 13
Answer: D
Question: Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is:
Choices:
49
50
51
52
Answer: B
Question: A fruit seller had some apples. He sells 30% and still has 420 apples. Originally, he had ?
Choices:
600 apples
420 apples
70 apples
None
Answer: A
Question: A man, a woman and a boy can together complete a piece of work in 3 days. If a woman alone can do it in 6 days and a boy alone in 18 days, how long will a man take to complete the work?
Choices:
8days
7days
9days
8days
Answer: C
Question: 9, 16, 18, 25, 36,49
Choices:
16
18
25
36
Answer: B
Question: A man can row downstream at 22 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
Choices:
16, 4
16, 8
16, 6
16, 7
Answer: C
Question: In how many ways 4 Indians and 2 Englishmen can be seated in a row so that they are alternate?
Choices:
96
144
48
256
Answer: C
Question: A number x is 3 times another number y. The percentage that y is less than x is
Choices:
66.6%
80%
11%
1%
Answer: A
Question: The volume of the largest right circular cone that can be cut out of a cube of edge 7 cm is:
Choices:
79.4cm3
89.8cm3
89.4cm3
None of these
Answer: B
Question: Q' = 3Q - 3, what is the value of (6')' ?
Choices:
150
180
210
240
Answer: C
Question: What is the remainder when 14,453 × 15,654 × 16,788 is divided by 5?
Choices:
1
5
4
3
Answer: A
Question: The ratio of the incomes of Uma and Bala is 8:7 and the ratio of their expenditure is 7:6. If at the end of the year, each saves $2000 then the income of Uma is?
Choices:
$16500
$16000
$16300
$16200
Answer: B
Question: A train 110 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Choices:
5 sec
4 sec
6 sec
2 sec
Answer: C
Question: 10 People take a history test. The following are the scores:
40, 45, 45, 50, 50, 60, 70, 75, 95, 100
Using the mean and median scores, find the amount of scores that fall in between the range of the two
Choices:
One
Five
Seven
Nine
Answer: A
Question: A compact car uses 15 gallons of fuel in traveling 360 miles. In order for the truck to travel the same distance using 12 gallons of fuel, by how many miles per gallon must the car’s fuel mileage be increased?
Choices:
6
15
36
27
Answer: A
Question: Mangala completes a piece of work in 12 days, Raju completes the same work in 20 days. If both of them work together, then the number of days required to complete the work is?
Choices:
7.5 days
7.7 days
8.7 days
9.7 days
Answer: A
Question: If selling price is doubled, the profit triples. Find the profit percent:
Choices:
100
105 1/3
120
150
Answer: A
Question: X, Y and Z can do a work in 9 , 10 and 15 days respectively. They completed the work and got Rs.600. What is the total amount earned by X and Y?
Choices:
356
456
466
450
Answer: B
Question: If a 10 percent deposit that has been paid toward the purchase of a certain product is $120, how much more remains to be paid?
Choices:
$990
$1,000
$1,100
$1,080
Answer: D
Question: How many odd 4-digit positive integers R that are multiples of 5 can be formed without using the digit 3?
Choices:
648
900
1296
3240
Answer: A
Question: If an item that originally sold for A dollars was marked up by x percent and then discounted by N percent, which of the following expressions represents the final price of the item?
Choices:
(10,000z + 100z(y – x) – xyz)/10,000
(100z(x – y) – xyz)/10000
(100z(y – x) – xyz)/10000
(A+ Ax/100) - N/100 ( A +Ax/100)
Answer: D
Question: Three pipes of same capacity A,B,C can fill a tank in 6 hours. If there are only two pipes B and C of same capacity, the tank can be filled in?
Choices:
4
9
12
16
Answer: B
Question: The length of a train and that of a platform are equal. If with a speed of 216 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
Choices:
1799
1719
1750
1800
Answer: D
Question: A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Choices:
276
20
288
21
Answer: B
Question: In a fuel station the service costs $4.25 per car, every liter of fuel costs 0.6$. Assuming that you fill up 3 mini-vans and 2 trucks, how much money will the fuel cost to all the cars owners total, if a mini- van's tank is 65 liters and a truck's tank is 120% bigger and they are all empty-?
Choices:
128.9$
243.7$
298.85$
309.85$
Answer: D
Question: The speeds of 3 trains in the ratio 4:12:24. The ratio between time taken by them to travel the same distance is?
Choices:
6:2:1
4:8:9
6:5:2
4:8:7
Answer: A
Question: The ratio of a to b is 4 to 5, where a and b are positive. If x equals a increased by 75 percent of a, and m equals b decreased by 60 percent of b, what is the value of m/x?
Choices:
3/4
4/5
5/4
2/7
Answer: D
Question: The ratio of ages of A and B at present is 2:3. After five years the ratio of their ages will be 3:4 What is the present age of A in years?
Choices:
10
25
30
35
Answer: A
Question: In dividing a number by 585, a student employed the method of short division. He divided the number successively by 5, 9 and 13 (factors 585) and got the remainders 4, 8, 12 respectively. If he had divided the number by 585, the remainder would have been
Choices:
144
292
584
None of these
Answer: C
Question: The cost price of an article is 64% of the marked price. Calculate the gain percent after allowing a discount of 12%.
Choices:
37.5 %
42 %
27.5 %
none
Answer: A
Question: Combine terms: 12a + 26b -4b – 16a.
Choices:
-28a + 30b
-4a + 22b
28a + 30b
30a-28b
Answer: B
Question: What least number must be added to the least number of six digits so that the resulting number may be a perfect square.
Choices:
489
278
199
111
Answer: A
Question: what is the remainder when 789456123 is divided by 999
Choices:
359
369
379
389
Answer: B
Question: In a hostel, the number of students decreased by 8% and the price of food increased by 20% over the previous year. If each student consumes the same amount of food then By how much should the consumption of food be cut short by every student, so that the total cost of the food remains the same as that of the previous year?
Choices:
15%
25%
40%
9.4%
Answer: D
Question: X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?
Choices:
10 days
15 days
16 days
20 days
Answer: A
Question: A toy store sells small, medium, and large toy trucks in each of the colors red, blue, black, green, and yellow. The store has an equal number of trucks of each possible color-size combination. If Paul wants a medium, red truck and his mother will randomly select one the trucks in the store, what is the probability that the truck she selects will have at least one of the two features Paul wants?
Choices:
7/15
11/15
7/20
11/30
Answer: A
Question: A student scored an average of 60 marks in 3 subjects: Physics, Chemistry and Mathematics. If the average marks in Physics and Mathematics is 90 and that in Physics and Chemistry is 70, what are the marks in Physics?
Choices:
160
76
140
26
Answer: C
Question: Find the ratio between whole surfaces of a sphere and a hemisphere?
Choices:
4:3
4:2
4:1
4:6
Answer: A
Question: What least value should be replaced by * in 483*4312 so the number become divisible by 6
Choices:
4
5
2
7
Answer: C
Question: Marginal cost is the cost of increasing the quantity produced (or purchased) by one unit. If the fixed cost for n products is $10,000 and the marginal cost is $80, and the total cost is $16,000, what is the value of n?
Choices:
50
60
75
100
Answer: C
Question: How many odd numbers are possible between 1 to 10000? find out the number of odd number of digits?
Choices:
3500
4000
4599
4999
Answer: D
Question: If x, y, and z are consecutive positive integers greater than 1, not necessarily in that order, then which of the following is (are) true?
I. x > z
II. 4x+ 4y > 4z
III. yz > xz
IV. xy > y + z
Choices:
II only
II and III only
II and IV only
III and IV only
Answer: A
Question: A large delicatessen purchased p pounds of cheese for K dollars per pound. If d pounds of the cheese had to be discarded due to spoilage and the delicatessen sold the rest for s dollars per pound, which of the following represents the gross profit on the sale of the purchase? (gross profitequalssales revenueminusproduct cost)
Choices:
s(p-d) - Kp
c(p − d) − ds
d(s − c) − pc
pc − ds
Answer: A
Question: A jogger running at 9 km/hr along side a railway track is 190 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Choices:
27
36
31
12
Answer: C
Question: A new basketball cost increased 5% last week. A basketball coach wanted to buy two dozen basketballs in bulk for his team. He was able to negotiate paying only 90% of the posted price for the bulk purchase. How much did the coach save by purchasing in bulk?
Choices:
3.5%
4.5%
5.5%
6.5%
Answer: C
Question: The average age 12 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
Choices:
24 years
18 years
29 years
30 years
Answer: A
Question: 29 persons can repair a road in 16 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
Choices:
12.88
13.88
15
18.8
Answer: A
Question: If a card is randomly drawn from a well shuffled pack of cards, what is the probability of drawing a black card or a king?
Choices:
7/10
4/11
7/13
5/26
Answer: C
Question: Jack and Jill are marathon runners. Jack can finish a marathon (42 km) in 5 hours and Jill can run a marathon in 4.2 hours.What is the ratio of their average running speed? (Jack: Jill)
Choices:
15/14
4/5
21/25
Cannot be determined
Answer: C
Question: The S.I. on a certain sum of money for 2 years at 8% per annum is half the C.I. on Rs. 4000 for 2 years at 10% per annum. The sum placed on S.I. is?
Choices:
1267
1750
2267
2625
Answer: D
Question: The dimensions of a room are 10m x 7m x 5m. There are 2 doors and 3 windows in the room. The dimensions of the doors are 1m x 3m. One window is of size 2m x 1.5m and the other 2 windows are of size 1m x 1.5m. The cost of painting the walls at Rs. 3 per sq m is
Choices:
378
739
474
291
Answer: C
Question: In how many ways can the letters of the word AEOGHYI be rearranged such that the vowels always appear together?
Choices:
576
476
765
398
Answer: A
Question: In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
Choices:
50400
50500
50540
50590
Answer: A
Question: Company S produces two kinds of stereos: basic and deluxe. Of the stereos produced by Company S last month, 1/3 were basic and the rest were deluxe. If it takes 7/5 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos?
Choices:
14/31
7/15
14/19
1/2
Answer: C
Question: A corporation that had $10 billion in profits for the year paid out $200 million in employee benefits. Approximately what percent of the profits were the employee benefits? (Note: 1 billion = 10^9)
Choices:
20%
5%
2%
0.2%
Answer: C
Question: What will come in place of the x in the following Number series? 177147 ,59049 ,19683 ,6561, 2187 , x
Choices:
729
726
722
723
Answer: A
Question: The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:
Choices:
16
24
48
None
Answer: C
Question: All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 148 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was the initial quantity of water in container A?
Choices:
1362 liters
1280 liters
1184 liters
1173 liters
Answer: C
Question: The difference of two numbers is 8 and one-fourth of their sum is 6. Find the numbers.
Choices:
16,8
17,6
14,10
12,4
Answer: A
Question: In the number 11,0AB, A and B represent the tens and units digits, respectively. If 11,0AB is divisible by 50, what is the greatest possible value of B × A?
Choices:
5
20
15
25
Answer: B
Question: If three sides of the triangle are 8 , 15 and G respectively then the how many values can G ?
Choices:
[B] 7
[C] 8
[D]9
[E] infinite number of values
Answer: C
Question: How long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length?
Choices:
88
55
200
21
Answer: B
Question: 3x+4y=10
x^3+y^3=6
What is the minimum value of 3x+11y=?
Choices:
34
35
36
38
Answer: D
Question: Dan has a membership at a local gym that also gives classes three nights a week. On any given class night, Dan has the option of taking yoga, weight training, or kickboxing classes. If Dan decides to go to either one or two classes per week, how many different combinations E of classes are available?
Choices:
6
E=7
E=9
E=12
Answer: C
Question: How many independent words can 'HEARTLESS' be divided into without changing the order of the letters and using each letter only once ?
Choices:
2
5
3
4
Answer: C
Question: A cylinder has a base with a circumference of 20pi meters and an equilateral triangle inscribed on the interior side of the base. A marker is dropped into the tank with an equal probability of landing on any point on the base. If the probability of the marker landing inside the triangle is (Sqrt 3)/4 , what is the length of a side of the triangle?
Choices:
3(sqrt 3pi)
10*sqrt (pi)
10(sqrt 3pi)
20 pi
Answer: B
Question: Ten years ago, the age of Anand was one-third the age of Bala at that time. The present age of Bala is 12 years more than the present age of Anand. Find the present age of Anand?
Choices:
16
82
27
15
Answer: A
Question: Solve: 387 x 387 + 114 x 114 + 2 x 387 x 114
Choices:
251001
251010
250101
None of them
Answer: A
Question: There are d cities. What is the number of airlines that connected 2 different cities (airline from city A to city B is different with airline from city B to city A)?
Choices:
n(n+1)
d(d-1)
n(n+1)/2
n2
Answer: B
Question: For any integer n greater than 1, #n denotes the product of all the integers from 1 to n, inclusive. How many prime numbers E are there between #6 +2 and #6 +6 , inclusive?
Choices:
None
Two
Three
Four
Answer: A
Question: A man cheats while buying as well as while selling. While buying he takes 10% more than what he pays for and while selling he gives 20% less than what he claims to. Find the profit percent, if he sells at 12% below the cost price of the claimed weight.
Choices:
21%
37.5%
25%
37.5%
Answer: A
Question: Find the wrong number below mentioned series
3,20,50,60,80
Choices:
60
50
20
3
Answer: D
Question: For an employee to qualify for early retirement at a certain company, the sum of the employee’s age and years of service must be at least 75, If Sue was K years old when she was hired by the company, what is the minimum age at which she could possibly qualify for early retirement.
Choices:
2K+35
(75+K)/2
(70-K)/2
2(70-K)
Answer: B
Question: A number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34. Such a least possible number N is
Choices:
N=75
N=175
N=680
690
Answer: A
Question: A jeep takes 9 hours to cover a distance of 480 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Choices:
52 Kmph
35 Kmph
63 Kmph
65 Kmph
Answer: B
Question: The ratio of the volumes of two cubes is 1728 : 2197. What is the ratio of their total surface areas?
Choices:
144:169
44:22
28:144
96:12
Answer: A
Question: Points A, B, and, C have xy-coordinates (2,0), (8,12), and (14,0), respectively. Points X, Y, and Z have xy-coordinates (6,0), (8,4), and (10,0), respectively. What fraction S of the area of triangle ABC is the area of triangle XYZ?
Choices:
1/9
1/6
1/5
1/3
Answer: A
Question: a and b are two numbers selected randomly from 1,2,3.... 25 what is the probability of a and b are not equal.
Choices:
24/25
13/25
2/25
3/25
Answer: A
Question: A number is missing from the number series below.
Can you find it ?
84, 155, 258, 399 , 584, ?.
Choices:
350
399
421
819
Answer: D
Question: Effective annual rate of interest corresponding to nominal rate of 6% per annum compounded half
yearly will be
Choices:
6.09%
6.12%
6.14%
None of these
Answer: A
Question: if log102 = 0.3010, what is the value of log101600 ?
Choices:
3.202
3.209
3.204
3.2112
Answer: C
Question: In 165 litres of mixtures of milk and water, water is only 28%. The milkman sold 40 litres of this mixture and then he added 30 litres of pure milk and 13 litres of pure water in the remaining mixture. What is the percentage of water in the final mixture?
Choices:
28. 57%
24. 57%
27. 75%
26. 57%
Answer: A
Question: John weighs twice as much as Susan. Susan's weight is 60% of Sam's weight. Mark weighs 50% of Lynn's weight. Lynn weighs 180% of John's weight. Which of these 5 people weighs the least?
Choices:
Susan
Sam
Mark
Lynn
Answer: A
Question: How much pure alcohol should be added to 400ml of a 15% solution to make the strength of solution 35%?
Choices:
60 ml
120 ml
130 ml
175 ml
Answer: D
Question: At the start of an experiment, a certain population consisted of 3 animals. At the end of each month after the start of the experiment, the population size was double its size at the beginning of that month. Which of the following represents the population size at the end of 9 months?
Choices:
3^2
2(3^10)
3(2^9)
3(10^2)
Answer: C
Question: Some part of a 50% solution of acid was replaced with an equal amount of 30% solution of acid. If, as a result, 40% solution of acid was obtained, what part of the original solution was replaced?
Choices:
1/4
1/2
3/4
2/3
Answer: B
Question: Machine A takes 20 hours to complete a certain job and starts that job at 6AM. After four hour of working alone, machine A is joined by machine B and together they complete the job at 1PM. How long would it have taken machine B to complete the job if it had worked alone for the entire job?
Choices:
3,615
3.62
4.62
6.14
Answer: C
Question: A school has received 60% of the amount it needs for a new building by receiving a donation of $600 each from people already solicited. People already solicited represent 40% of the people from whom the school will solicit donations. How much average contribution is requited from the remaining targeted people to complete the fund raising exercise?
Choices:
$177.78
$100
$277.78
$377.78
Answer: C
Question: Each of the positive integers a, b, and c is a three-digit integer. If each of the digits 1 through 9 appears in one of these three integers, what is the maximum possible value of the sum of a, b, and c?
Choices:
2331
2874
2801
2256
Answer: D
Question: A store owner estimates that the average price of type A products will increase by 15% next year and that the price of type B products will increase by 18% next year. This year, the total amount paid for type A products was $4600 and the total price paid for type B products was $8400. According to the store owner's estimate, and assuming the number of products purchased next year remains the same as that of this year, how much will be spent for both products next year?
Choices:
$15,202
$16,000
$16,225
$17,155
Answer: A
Question: The sale price sarees listed for Rs.400 after successive discount is 20% and 5% is?
Choices:
277
342
882
304
Answer: D
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
255 m
245 m
167 m
267 m
Answer: B
Question: A train 125m long takes 6 sec to cross a man walking at 5kmph in a direction opposite to that of the train. Find the speed of the train?
Choices:
70kmph
75kmph
80kmph
85kmph
Answer: A
Question: A jar of 312 marbles is divided equally among a group of marble-players today. If 2 people joined the group in the future, each person would receive 1 marble less. How many people are there in the group today?
Choices:
20
22
24
26
Answer: C
Question: A person incurs a loss of 5% be selling a watch for Rs. 1140. At what price should the watch be sold to earn 5% profit.
Choices:
1788
1260
2889
7721
Answer: B
Question: The population of a town increased from 50,000 to 80,000 in a decade. The average percent increase of population per year is :
Choices:
5%
6%
8.75%
None of these
Answer: B
Question: If (x + 1)^2 = 144, which of the following could be the value of 2x?
Choices:
–26
–10
12
-21
Answer: A
Question: A trader sells 78 meters of cloth for Rs. 6788 at the profit of Rs. 29 per metre of cloth. What is the cost price of one metre of cloth?
Choices:
75
60
58
11
Answer: C
Question: Special codes are designated by either a 6-letter or a 7-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different codes that can be designated with this system?
Choices:
26(26)^6
27(26)^6
26(26)^7
27(26)^7
Answer: B
Question: In a certain alphabet, 11 letters contain a dot and a straight line. 24 letters contain a straight line but do not contain a dot. If that alphabet has 40 letters, all of which contain either a dot or a straight line or both, how many letters contain a dot but do not contain a straight line?
Choices:
5
14
20
28
Answer: A
Question: 5 x 1.6 - 2 x 1.4/1.3 = ?
Choices:
0.9
1.4
4
None of them
Answer: C
Question: A company, Chauncy Co., has an annual travel budget of $54,000. The accounting department estimates that transportation expenses will increase 5 percent in the coming year, and nontransportation travel expenses will increase by 15 percent in the coming year. Last year, Chauncy Co. spent $19,500 on transportation-related expenses, and $35,000 on nontransportation travel expenses. If the annual travel budget does not increase this year, and if the accounting department’s estimates are correct, how far over the annual travel budget will expenses be this year?
Choices:
$500
$4,225
$6,725
$60,725
Answer: C
Question: By selling 100 pencil, a trader gains the cost of 10 Pencil. Find his gain percentage?
Choices:
51 1/3%
10%
53 1/3%
34 1/3%
Answer: B
Question: What is the length of a running train?
I. The train crosses a man in 9 seconds.
II.The train crosses a 240 metre long platform in 24 seconds.
Choices:
II alone sufficient while I alone not sufficient to answer
Either I or II alone sufficient to answer
Both I and II are not sufficient to answer
Both I and II are necessary to answer
Answer: D
Question: A pet store regularly sells pet food at a discount of 10 percent to 30 percent from the manufacturer’s suggested retail price. If during a sale, the store discounts an additional 20 percent from the discount price, what would be the lowest possible price of a container of pet food that had a manufacturer’s suggested retail price o f $ 35.00?
Choices:
$ 11.20
$ 14.40
$ 16.00
$ 19.60
Answer: D
Question: Ifaequals the sum of the even integers from 2 to 20, inclusive, andbequals the sum of the odd integers from 1 to 19, inclusive, what is the value of (a + b)/2?
Choices:
110
105
20
215
Answer: B
Question: SHOW TIMER STATISTICS
It takes 3 tons of copper ore and 5 tons of iron ore to make one ton of alloy A. How many tons of alloy A can be made from 60 tons of copper ore and 90 tons of iron ore?
Choices:
18 3/4
20
30
50
Answer: A
Question: How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 340 m in length?
Choices:
88.9 sec
22.9 sec
27.00 sec
72.0 sec
Answer: C
Question: When an amount was distributed among 14 boys, each of them got $80 more than the amount received by each boy when the same amount is distributed equally among 18 boys. What was the amount?
Choices:
5020
5040
5030
5075
Answer: B
Question: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is -.
Choices:
1/10
1/3
1/8
1/5
Answer: D
Question: If selling price is doubled, the profit triples. Find the profit percent?
Choices:
100%
120%
140%
150%
Answer: A
Question: Dacid obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Choices:
78
76
87
75
Answer: D
Question: If money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 24/r years. If Pat's parents invested $6,000 in a long-term bond that pays 8 percent interest, compounded annually, what will be the approximate total amount of the investment 18 years later, when Pat is ready for college?
Choices:
$15000
$12000
$10000
$30000
Answer: D
Question: A man weighs 300 pounds and has enough food for his diet plan for 50 days. After 10 days he decides he is happy with the weight loss results and changes his diet plan so that the remaining food will now be enough for the same period of 50 days as before. How many pounds did he lose?
Choices:
30
40
50
60
Answer: D
Question: A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 3 hours. How long will B alone take to do it?
Choices:
9
8
6
4
Answer: D
Question: A man can row upstream at 22 kmph and downstream at 42 kmph, and then find the speed of the man in still water?
Choices:
92
30
32
23
Answer: C
Question: A batsman's avg in 12 innings is 24.00. If his avg is to be double of the no of innings (15 innings), what should he score in the remaining three innings (avg)?
Choices:
144
145
146
147
Answer: A
Question: A train running at a speed of 60 kmph crosses a pole in 18 seconds.What is the length of the train?
Choices:
300 m
190 m
150 m
160 m
Answer: A
Question: 1/3 of a certain journey is covered at the rate of 25km/hr,1/4 at the rate of 30 km/hr and the rest is 50 km/hr.the avg speed for the whole journey is :
Choices:
33 km/hr
33 1/3 km/hr
37 1/12 km/hr
37 km/hr
Answer: B
Question: 5,7,13,20,33,53,86,?
Choices:
139
130
120
138
Answer: A
Question: In a partnership between Rose, Ben and Christine, Rose's capital is Rs.12000. If her share of a profit of Rs.6000 is Rs.3000 and Christine's share is Rs.1250, what is Ben's capital?
Choices:
6200
4500
6240
1223
Answer: A
Question: Expenditures of a Company (in Lakh Rupees) per Annum Over the given Years.
Year	Item of Expenditure
Salary	Bonus Transport Fuel	Interest on Loans	Taxes
1998	288	98	3.00	23.4	83
1999	342	112	2.52	32.5	108
2000	324	101	3.84	41.6	74
2001	336	133	3.68	36.4	88
2002	420	142	3.96	49.4	98
The total amount of bonus paid by the company during the given period is approximately what percent of the total amount of salary paid during this period?
Choices:
A)1%
C)1.25%
D)3%
E)4%
Answer: A
Question: Find the average of the series : 80, 320, 100, 328 and 147?
Choices:
195
190
185
171
Answer: A
Question: If 42 men do a work in 25 days, in how many days will 50 men do it?
Choices:
22
19
20
21
Answer: D
Question: At what price must an article costing Rs.200 be marked in order that after deducting 10% from the list price. It may be sold at a profit of 20% on the cost price?
Choices:
62.0
266.67
62.1
62.2
Answer: B
Question: A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of man is :
Choices:
60 kg
72 kg
96 kg
None of these
Answer: A
Question: A man buys an item at Rs. 1300 and sells it at the loss of 20 percent. Then what is the selling price of that item
Choices:
Rs. 760
Rs. 860
Rs. 1040
None of these
Answer: C
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
28
25
12
Answer: A
Question: A certain manufacturer produces items for which the production costs consist of annual fixed costs totaling $130,000 and variables costs averaging $11 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:
8,667
21,429
35,000
70,000
Answer: D
Question: Mrs. Rodger got a weekly raise of $185. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
Choices:
$231
$156
$185
$200
Answer: C
Question: Find the area of a parallelogram with base 26 cm and height 16 cm?
Choices:
384 cm2
672 cm2
416 cm2
286 cm2
Answer: C
Question: In a survey about potential presidential candidates A and B, 33% of the public like A and 51% like B. If the percentage of the public who like one candidate only is twice the percentage of the public who like both candidates, then what is the percentage of the public that like neither?
Choices:
32%
37%
22%
67%
Answer: B
Question: Linda and Angela contract to paint a neighbor's house. Even though Linda spends 40% more time painting the house than Angela, each receives a payment of m dollars when the work is completed. If Angela decides to pay Linda n dollars so that they would have received the same compensation per hour worked, what is n in terms of m ?
Choices:
1/3 m
1/4 m
1/5 m
1/6 m
Answer: D
Question: Calculate the effect changes in dimension of a rectangle will have on its area, if length is increased by 35% and its breadth is decreased by 21%?
Choices:
5.65% increase
6.65% increase
6.65% decrease
7.65% increase
Answer: B
Question: Two pipes function simultaneously the reservoir will be filled in 12 hours. One pipe fills reservoir 10 hours faster than the other. How many hours does the faster pipe take to fill the reservoir?
Choices:
28 hrs
20 hrs
35 hrs
40 hrs
Answer: B
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 60% of the required amount. What is the net difference in the expenditure on that product?
Choices:
A)12.5%
C)13.15%
D)14%
E)15%
Answer: A
Question: Daniel went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 5%, then what was the cost of the tax free items?
Choices:
A)18.7
C)21.3
D)21.5
E)22
Answer: A
Question: Each book on a certain shelf is labeled by a single category. For every 2 history books, there are 7 fantasy books and for every 2 fantasy books, there are 5 reference books. If the proportion of history to fantasy books is doubled, while the proportion of fantasy to reference books is maintained, which of the following could be the number of history books if there are fewer than 60 fantasy books on the shelf after the changes?
Choices:
16
27
35
36
Answer: A
Question: Tough and Tricky questions: Mixture Problems.
A drink holding 6 ounces of an alcoholic drink that is 1 part rum to 2 parts coke is added to a jug holding 31 ounces of an alcoholic drink that is 1 part rum to 3 parts coke. What is the ratio of rum to coke in the resulting mixture?
Choices:
5:14
3:5
5:13
14:5
Answer: C
Question: Express a speed of 56 kmph in meters per second?
Choices:
17.56 mps
97.56 mps
15.56 mps
18.56 mps
Answer: C
Question: A, B and C started a business A's investment is 2 times of B's investment is 5 times of C's investment. Find the profit of B in the total profit of Rs. 32000.
Choices:
Rs. 8500
Rs. 10000
Rs. 8000
None of these
Answer: B
Question: A wheel has a diameter of x inches and a second wheel has a diameter of y inches. The first wheel covers a distance of d feet in 80 revolutions. How many revolutions does the second wheel make in covering d feet?
Choices:
80x/y
80-x
80-y
80x-y
Answer: A
Question: On the number line, if x is halfway between -8 and 4, and if y is halfway between -4 and 6, what number is halfway between x and y?
Choices:
-0.5
0.5
1.5
2.5
Answer: A
Question: Approximately how many cubic feet of water are needed to fill a circular swimming pool that is 80 feet across and 10 feet deep?
Choices:
50000
80000
85000
90000
Answer: A
Question: In a town 65% people watched the news on television , 40% read a newspaper and 25% read a newspaper and watched the news on television also. What percent of the people neither watched the news on television nor read a news paper ?
Choices:
20
25
30
35
Answer: A
Question: In 2010, Arman’s birthday was on a Thursday. What day of the week was it 65 days after his birthday?
Choices:
Friday
Saturday
Sunday
Monday
Answer: B
Question: Find the number of different prime factors of 2400
Choices:
2
3
5
6
Answer: B
Question: A tap can fill a tank in 4 hours. After half the tank is filled, two more similar taps are opened. What is the total time taken to fill the tank completely?
Choices:
4 hr
3 hr
2 hr 40 min
2 hr 50 min
Answer: C
Question: At a certain conference, 80% of the attendees registered at least
two weeks in advance and paid their conference fee in full. If
10% of the attendees who paid their conference fee in full did
not register at least two weeks in advance, what percent of
conference attendees registered at least two weeks in
advance?
Choices:
62.0%
79.2%
88.89%
82.0%
Answer: C
Question: If -1<x<0, what is the median M of these six numbers listed below
1/x^3,1/x^2, 1/x,x, x^2,x^3
Choices:
x^2
x^2(x+1)/2
M=x(x^2+1)/2
x^2/2x
Answer: C