antoine-444/aqua_rat_dataset huggingface dataset:
Question: Crazy Eddie has a key chain factory. Eddie managed to decrease the cost of manufacturing his key chains while keeping the same selling price, and thus increased the profit from the sale of each key chain from 50% of the selling price to 50% of the selling price. If the manufacturing cost is now $50, what was it before the decrease?
Choices:
$40
$50
$80
$100
Answer: B
Question: In the biology lab of "Jefferson" High School there are 0.036*10^5 germs, equally divided among 45000*10^(-3) Petri dishes. How many germs live happily in a single dish?
Choices:
20
30
60
80
Answer: D
Question: A shepherd has 1 million sheep at the beginning of Year 2010. The numbers grow by xx during the yr. A famine hits his village in the next year & many of his sheep die. The sheep population decreases by yy during 2001 and at the beginning of 2011 the shepherd finds that he is left with 1 million sheep. Which of the following is correct?
Choices:
x>y
x=y
x<=y
x>=y
Answer: A
Question: If x is an integer, which of the following is a possible value of W=(x^2 +2x – 7)/9?
Choices:
0.268
1.166 repeating
4.555 repeating
8.125
Answer: C
Question: if Juan takes 14 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?
Choices:
14x/y
x/11y
11/xy
xy/11
Answer: A
Question: A cylinder is sliced by a plane to form the solid
shown. The base edge of the solid is a circle
of radius 3. The top edge is an ellipse. The
highest point on the ellipse is 6 units above the
base. The lowest point on the ellipse is 2 units
above the base. What is the volume, in cubic
units, of the solid?
Choices:
30π
36π
42π
48π
Answer: B
Question: The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 20000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is
Choices:
49
22
23
NONE
Answer: A
Question: A small company is planning to rent either computer A or computer B to print customer mailing lists. Both computer A and computer B must be rented on an hourly basis. The rental fee is based only on the amount of time the computer is turned on. It will cost 40 percent more per hour to rent computer A than to rent computer B. Computer B would, however, require 20 hours more than computer A to do the job. If either computer A, or computer B were rented the total cost to rent the computer would be $650.00. What would be the approximate hourly charge to rent computer B?
Choices:
$9.28
$13.20
$17.80
$22.10
Answer: A
Question: Mr. Gangadhar, Mr. Ramesh and Mr. Shridhar together earned 19800. The ratio of earnings between Mr. Gangadhar and Mr. Ramesh is 2 : 1 while that between Mr.Ramesh and Mr. Shridhar is 3 : 2. How much did Mr. Ramesh earn?
Choices:
5400
1800
6300
None of these
Answer: A
Question: A tea expert claims that he can easily find out whether milk or tea leaves were added first to water just by tasting the cup of tea. In order to check this claims 12 cups of tea are prepared, 6 in one way and 6 in other. Find the different possible ways of presenting these 12 cups to the expert.
Choices:
240
300
924
None
Answer: C
Question: when W is divided by 13, the reminder is 0. if W is one more than it value and when divided by 10 its remainder is 0. what is the value of W ?
Choices:
39
14
13
52
Answer: A
Question: A dishonest dealer claims to sell a product at its cost price. He uses a counterfeit weight which is 20% less than the real weight. Further greed overtook him and he added 40% impurities to the product. Find the net profit percentage of the dealer?
Choices:
87.5%
55%
56.25%
36%
Answer: A
Question: If A exceeds B by 40%, B is less than C by20%, then A : C is :
Choices:
28:25
3:2
3:1
28:27
Answer: A
Question: How many 4-digit Z numbers (ABCD) can be formed such that |A – D| = 2?
Choices:
1,900
1,800
1,600
1,500
Answer: D
Question: If f(x) =4* (x^4 - 1)/(x^2), what is f(1/x) in terms of f(x)?
Choices:
-f(x)
-4*f(x)
-1/f(x)
2*f(x)
Answer: B
Question: A cheetah can at 65 mph but only for a maximum of 6 minutes before it exhausts itself. How many miles can the cheetah run before tiring out? Round to the nearest hundredths place.
Choices:
5.50 miles
6 miles
6.50 miles
7 miles
Answer: C
Question: A man took a loan from a bank at the rate of 8% p.a. simple interest.After 3 years he had to pay Rs. 5400 interest only for the period.The principal amount borrowed by him was :
Choices:
Rs. 10,500
Rs. 15,500
Rs. 22,500
None
Answer: C
Question: Six bells commence tolling together and toll at intervals of 1,2,3,4,5,6 seconds respectively. In 30 minutes, how many times do they toll together?
Choices:
31
15
16
17
Answer: A
Question: The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then the speed of the first train is:
A.
B.
C.
D.
Answer: Option D
Explanation:
Choices:
75 km/hr
87.5 km/hr
84 km/hr
75.6 km/hr
Answer: B
Question: How many positive integers less than 26 are prime numbers, odd multiples of 5, or the sum of a positive multiple of 2 and a positive multiple of 4?
Choices:
21
24
22
20
Answer: A
Question: If the Average of 10 consecutive integers is 23.5 then the 10th integer is :-
Choices:
20
23
28
25
Answer: C
Question: 3,9,12,15,18,__
Choices:
20
22
21
41
Answer: C
Question: How many 4's are there preceded by 7 but not followed by 3?
5 9 3 2 1 7 4 2 6 9 7 4 6 1 3 2 8 7 4 1 3 8 3 2 5 6 7 4 3 9 5 8 2 0 1 8 7 4 6 3
Choices:
4
6
8
9
Answer: A
Question: Alex has 4 pens worth of {22, 25, 30, 40}, what is the total mean and median of the worth of pens ?
Choices:
6.16
8.32
2.0
1.75
Answer: D
Question: oy started cycling along the boundaries of a square field from corner point A. After half an hour he reached the corner point C, diagonally opposite to A. If his speed was 8km/hr, the area of the filed in square km is?
Choices:
4
16
9
5
Answer: A
Question: Two pots are in side-by-side. One pot, which is 20 inches tall, casts a shadow that is 10
inches long. The other pot is 40 inches tall. Compute, in inches, the length of the shadow that
the taller pot casts.
Choices:
30
10
15
20
Answer: D
Question: Water boils at 212°F or 100°C and ice melts at 32°F or 0°C . If the temperature of a pot of water is 45°C, what is the temperature of the pot of water in °F?
Choices:
97°F
104°F
113°F
118°F
Answer: C
Question: Ayush was born two years after his father's marriage. His mother is five years younger than his father but 20 years older than Ayush who is 10 years old. At what age did the father get married ?
Choices:
23 years
33 years
35 years
37 years
Answer: A
Question: A man saves 25% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 10%, he is only able to save Rs. 175 per month. What is his monthly salary?
Choices:
Rs.1000
Rs.1500
Rs.3000
Rs.3100
Answer: A
Question: All the milk in container A which was filled to its brim was poured into two containers B and C. The quantity of milk in container B was 62.5% less than the capacity of container A. If 158 liters was now transferred from C to B, then both the containers would have equal quantities of milk. What was the initial quantity of milk in container A?
Choices:
1264
1129
2613
1372
Answer: A
Question: In the formula Y = 1/(2x+2)^3, if x is halved, then Y is multiplied by
Choices:
27/8
8/27
8
1/27
Answer: A
Question: Find the no.of ways of arranging the boy and 7 guests at a circular table so that the boy always sits in a particular seat?
Choices:
8!
7!
9!
11!
Answer: B
Question: If W is a positive integer, and W/15 = 8.2, what is the remainder when W is divided by 15?
Choices:
B.2
C.3
D.4
E.8
Answer: B
Question: How many positive integers less than 50 are multiples of 3 but NOT multiples of 5?
Choices:
6
8
10
12
Answer: D
Question: Find the surface area of a 10 cm x 4 cm x 2 cm brick.
Choices:
136 cu cm
164 cu cm
180 cu cm
None
Answer: A
Question: In how many ways can a committee consisting of 4 men and 5 women be formed from a group of 7 men and 9 women?
Choices:
7C4 9C5
7C5 9C4
9C4 7C5
NONE
Answer: A
Question: A series of boxes are placed on a conveyor belt at one end and unloaded at the other. The boxes are each 0.5 meters on each side and are placed immediately adjacent to one another as they are loaded. If the conveyor belt is 30 meters long and moves the boxes at a speed of 0.25 m/s, how long does it take for 100 boxes to be loaded and unloaded?
Choices:
4 min 50 sec
5 min 20 sec
5 min 40 sec
6 min 10 sec
Answer: B
Question: The average earning of a mechanic for the first-four days of a week is Rs. 18 and for the last four days is Rs. 22. If he earns Rs . 6 on the fourth day, his average earning for the whole week is ?
Choices:
Rs 16
Rs. 22
Rs. 25.71
None of these
Answer: B
Question: The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.7 years. The ration of the number of boys to the number of girls in the class is?
Choices:
1:6
2:5
2:1
2:4
Answer: A
Question: In a certain egg-processing plant, every egg must be inspected, and is either accepted for processing or rejected. For every 96 eggs accepted for processing, 4 eggs are rejected. If, on a particular day, 12 additional eggs were accepted, but the overall number of eggs inspected remained the same, the ratio of those accepted to those rejected would be 99 to 1. How many E eggs does the plant process per day?
Choices:
300
400
3,000
4,000
Answer: B
Question: A man purchases 2 mobiles for $ 1400. He sells one at 20% profit and the other at a loss of 15%. He neither gains nor loses on the whole. Thus, the cost price of two watches are :
Choices:
$1400 and $ 600
$600 and $800
$800 and $600
$1400 and $ 800
Answer: B
Question: What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58?
Choices:
Rs.3944
Rs.3928
Rs.3928
Rs.3943
Answer: A
Question: A goods train runs at the speed of 72 km/hr and crosses a 300 m long platform in 26 sec. What is the length of the goods train?
Choices:
166
151
220
109
Answer: C
Question: An athlete takes 10 seconds to run 100m. What is his avg. speed in miles per hour?
Choices:
22.37
24.35
36.0
42.44
Answer: A
Question: There are 7 dozen mangoes in a box. If there are 29
such boxes, how many mangoes are there in all the
boxes together?
Choices:
2436
6192
628
None
Answer: A
Question: If (5^13)(9^7)=3(15^x), what is the value of x?
Choices:
9
11
13
15
Answer: C
Question: If Q is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of Q?
Choices:
12
14
16
18
Answer: B
Question: .05% of cans of beans that go down a conveyor belt are sealed improperly and must be disposed of. How many cans of beans must pass down a conveyor belt for 5 cans to be sealed improperly?
Choices:
5000
4000
2500
10000
Answer: D
Question: a light flashes every 15 seconds, how many times will it flash in ? of an hour?
Choices:
600
240
700
750
Answer: B
Question: Solve for x and check: 6x = 54
Choices:
15
5
9
None of these
Answer: C
Question: which is odd one
3, 5, 7, 12, 17, 19
Choices:
17
5
12
14
Answer: C
Question: If the complement of a certain angle is seven times the measure of that certain angle, then what is the measure of that certain angle?
Choices:
30°
22.5°
18°
11.25°
Answer: D
Question: How much time will it take for an amount of 500 to yield 100 as interest at 5% per annum of simple interest?
Choices:
4 year
6 year
5 year
7 year
Answer: A
Question: find the average of first 40 natural numbers?
Choices:
15.4
63.2
45.2
20.5
Answer: D
Question: Each light bulb at a hotel is either incandescent or fluorescent. At a certain moment, thirty percent of the incandescent bulbs are switched on, and eighty percent of the fluorescent bulbs are switched on. If 70 percent of all the bulbs are switched on at this moment, what percent of the bulbs that are switched on are incandescent?
Choices:
8.6%
12.3%
16.7%
20%
Answer: A
Question: Which of the following is not a multiple of 3!+4?
Choices:
4!+1
5!-60
4!+36
5!+20
Answer: A
Question: A tradesman by means of his false balance defrauds to the extent of 22%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Choices:
56.25%
84.46%
24.50%
45.35%
Answer: A
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 225 m and they cross each other in 18 sec, then the speed of each train is?
Choices:
77
36
88
45
Answer: D
Question: Divide $1000 among A,B in the ratio 1:3. How many $ that A get?
Choices:
$500
$150
$250
$600
Answer: C
Question: Elena’s bread recipe calls for 3 ounces of butter for each 4 cups of flour used. She needs to make 4 times the original recipe. If 12 ounces of butter is used, then how many cups of flour are needed?
Choices:
4
9
13
16
Answer: D
Question: Average temperature of first 4 days of a week is 6°C and that of the last 4 days is 40.3°C. If the average temperature of the week be 39.1°C, the temperature on 4th day is?
Choices:
38.6°C
39.8°C
41.9°C
51.9°C
Answer: C
Question: If the price of an item is decreased by 40% and then increased by 40%, the net effect on the price of the item is
Choices:
No change
A decrease of 16%
A increase of 1%
none
Answer: B
Question: What is the rate percent when the simple interest on Rs.800 amount to Rs.160 in 4 Years?
Choices:
5%
9%
4%
1%
Answer: A
Question: In a box, there are 20 red, 15 blue and 10 green balls. One ball is picked up randomly. What is the probability that it is green?
Choices:
2/5
3/7
2/9
1/5
Answer: C
Question: A cab driver 5days income was $40, $50, $60, $65 , $80. Then his average income is?
Choices:
B)$42
C)$65
D)$59
E)$62
Answer: C
Question: A 18% stock yielding 12% is quoted at:
Choices:
s. 110
s. 112
s. 120
s. 150
Answer: D
Question: The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
Choices:
5 : 13
5 : 167
5 : 19
5 : 16
Answer: D
Question: An article was bought for 2000 and sold for 2200. Find the gain or loss.
Choices:
200
400
500
600
Answer: A
Question: One out of every 4000 computer chips is defective. If 2 out of every 30 defective chips have defective processors and there are 30 defective processors in the first batch, how many computer chips are there in the first batch?
Choices:
900
90,000
1800,000
900,000
Answer: C
Question: At an art exhibit the entrance costs is $1.15 per person, and every print sold costs $5. Assuming that you bought prints that came in a bag that could hold 12, and another that holds %50 more. How much money do you end up spending all together at the exhibition?
Choices:
181.15
1.15
81.15
200.15
Answer: A
Question: A 450 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:
525
360
370
380
Answer: A
Question: Look at this series: 7, 10, 8, 11, 9, 12, 10, 13, 11, ... What number should come next?
Choices:
13
14
15
16
Answer: B
Question: How many 1's are there preceded by 2 but not followed by 0?
5 9 3 2 1 7 4 2 6 9 7 4 2 1 3 2 8 7 0 1 3 8 3 2 5 6 7 4 3 9 5 8 2 2 1 0 7 4 6 3
Choices:
2
6
8
9
Answer: A
Question: Pipe A can fill a tank in 6 hours. Due to a leak at the bottom, it takes 9 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
Choices:
17
18
19
12
Answer: B
Question: Three coins are tossed. What is the probability of getting at most two tails?
Choices:
2/3
7/8
8/7
6/9
Answer: B
Question: In the Olympic track represented above 8 runners are going to compete to reach the finish line in the shortest amount of time. Between Tom in line 1 and Jack in line 2 there's a distance of 1.2 meters, the same as in the subsequent lanes. If each runner is to race onto their assigned line (and not in the middle of the lane), and Tom is to run on line 1 and Bob on line 8. Bob will have to start-position himself approximately how many meters in front of Tom for the two to run the same distance before reaching the finishing line?
Choices:
51
53
64
85
Answer: B
Question: The average of first five multiples of 4 is?
Choices:
8
9
5
12
Answer: D
Question: A man can row a boat three quarters of a kilometre in 11.25 minutes. What is the speed of the boat in still water?
Choices:
4 kmph
6 kmph
5 kmph
12 kmph
Answer: A
Question: Two men Amar and Bhuvan have the ratio of their monthly incomes as 6 : 5. The ratio of their monthly expenditures is 3 : 2. If Bhuvan saves one-fourth of his income, find the ratio of their monthly savings?
Choices:
3:10
3:17
3:20
3:60
Answer: A
Question: If u r genius solve it:-
40 * 14 = 11
30 * 13 = 12
20 * 12 = 6
10 * 11 = ?
Choices:
2
6
8
10
Answer: A
Question: YES bank offers an interest of 5% per annum compounded annually on all its deposits. If $10,000 is deposited, what will be the ratio of the interest earned in the 4th year to the interest earned in the 5th year?
Choices:
625:3125
100:105
100^4:105^4
725:3225
Answer: B
Question: 3 men and 2 women are lined up in a row. What is the number of cases where they stand with each other in turn? (The number of cases in which men (or women) do not stand next to each other)
Choices:
12
18
21
24
Answer: A
Question: The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?
Choices:
1: 96
1: 97
1: 95
1: 91
Answer: A
Question: Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Choices:
4 years
6 years
7 years
8 years
Answer: B
Question: A small, rectangular park has a perimeter of 560 feet and a diagonal measurement of 300 feet. What is its area, in square feet?
Choices:
43,200
20,000
20,400
20,800
Answer: A
Question: Right triangle ABC is the base of the prism in the figure above. If AB=AC=√2 and the height of the prism is 3, what is the volume of the prism?
Choices:
3/2
2
3
6
Answer: C
Question: A,B,C invested the capitals in a business. If A invested Rs. 5000 more than B and C invested Rs.20,000 more than A, then how should a profit of Rs.36,000 be divided among A,B and C? Given : Capital of B is Rs.10,000
Choices:
3500, 2000, 6500
3000, 2500, 6500
3000, 2000, 7000
3500, 2000, 6250
Answer: C
Question: John want to buy a $100 Trouser at the store, but he think it’s too expensive. Finally, it goes on sale for $30. What is the percent decrease?
Choices:
30%
40%
70%
80%
Answer: C
Question: The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?
Choices:
18
81
16
13
Answer: A
Question: A man and his wife appear in an interview for two vacancies in the same post. The probability of husband's selection is (1/7) and the probability Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5? of wife's selection is (1/5). What is the probability that only one of them is selected ?
Choices:
9/20
11/21
11/23
12
Answer: A
Question: A book club rented the party room of a local restaurant to meet and discuss its current novel over dinner. The total charge, including food and service, was $ 900. If each member of the club paid at least $ 40, then what is the greatest possible number of members in the club?
Choices:
20
21
23
25
Answer: C
Question: When 28 is divided by the positive integer a, the remainder is 1. What is the sum of all the possible values of a for which this is true?
Choices:
3
9
30
39
Answer: D
Question: Aamir saves 32% of his monthly salary. If he spends Rs. 27200, then find his savings?
Choices:
12817
12171
12800
128722
Answer: C
Question: If a sample of data has mean of 20 and SD of 3, which of the following values is more than 2.4 SDs from the mean?
Choices:
13
21
22
18
Answer: A
Question: If an object travels at 85 feet per second, how many feet does it travel in 30 minutes?
Choices:
1500
1800
9000
2500
Answer: C
Question: The average marks of a class of 28 students is 40 and that of another class of 50 students is 60. Find the average marks of all the students?
Choices:
59.5
52.8
52.5
52.1
Answer: B
Question: 100 liters of a mixture contains milk and water in the ratio 4:1. If 10 liters of this mixture be replaced by 10 liters of milk, the ratio of milk to water in the new mixture would be?
Choices:
9:2
6:1
5:4
11:4
Answer: A
Question: A number is missing from the number series below.
Can you find it ?
?, 155, 258, 399 , 584, 819.
Choices:
84
399
421
449
Answer: A
Question: -74x29+265=?
Choices:
-1881
-2801
-2071
None of them
Answer: A
Question: Find the odd man out
3, 5, 7, 11, 14, 17, 19, 23
Choices:
5
11
14
23
Answer: C
Question: A certain lab experiments with white and brown mice only. In one experiment, 2/3 of the mice are white. If there are 9 brown mice in the experiment, how many mice in total are in the experiment?
Choices:
33
27
21
10
Answer: B
Question: Every Monday, Marina eats one croissant and every Tuesday she eats two croissants. On each subsequent day of the week, she eats a number of croissants equal to the sum of the croissants eaten on the two previous days, with the exception that if she eats more than four croissants on any particular day, the next day she will eat only one croissant. At the end of the week (which runs from Monday through Sunday), the cycle resets, and Marina goes back to eating one croissant on Monday, two on Tuesday, and so forth. If a particular month begins on a Thursday, how many croissants will Marina eat on the 27th of that month?
Choices:
2
3
5
6
Answer: A
Question: A and B together do a work in 20 days.B and C together in 15 days and C and A in 12 days.then B alone can finish same work in how many days?
Choices:
60
45
35
48
Answer: A
Question: A and B start a business with Rs.6000 and Rs.8000 respectively. Hoe should they share their profits at the end of one year?
Choices:
3:4
3:9
3:3
3:1
Answer: A
Question: Three brothers live in a farm. They agreed to buy new seeds: Adam and Ben would go and Charlie stayed to protect fields. Ben bought 75 sacks of wheat in the market whereas Adam bought 45 sacks. At home, they split the sacks equally. Charlie had paid 1400 dollars for the wheat. How much dollars did Ben and Adam get of the sum, considering equal split of the sacks?
Choices:
B$1400-A$160
B$1225-A$175
B$1327-A$199
B$1876-A$250
Answer: B
Question: In how many E ways can the letters of the word JUPITER be arranged in a row so that the vowels appear in alphabetic order?
Choices:
768
792
840
876
Answer: C
Question: A man is facing northwest. He turns 90 degrees in the clockwise direction and then 135degrees in the anti-clockwise direction. Which direction is he facing now?
Choices:
West
North
South
none
Answer: A
Question: If two letters are taken at random from the word HOME, what is the probability that none of the letters would be vowels?
Choices:
1/6
8
2/2
1/1
Answer: A
Question: If LCM of two number is 693, HCF of two numbers is 11 and one number is 99, then find other
Choices:
77
12
45
67
Answer: A
Question: A man bought 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is
Choices:
14
15
16
17
Answer: B
Question: Alan buys 4 TVs, a 26 inch, a 28 inch, a 30 inch, and a 32 inch, for his new house. Each TV costs $200 more than the size below it. Alan spends a total of $4,400. How much would he have spent if he had bought only the 28 inch and 30 inch TVs?
Choices:
1,100
1,700
2,200
3,400
Answer: C
Question: If a and b are integers and (2^a)(3^b) is a factor of 900^40, what is the largest possible value of ab?
Choices:
2a
20a
40a
80a
Answer: A
Question: Aarti can do a piece of work in 9 days. In how many days will she complete three time of work of same type?
Choices:
18 days
21 days
27 days
13 days
Answer: C
Question: 50 men do a work in 100days. How many men are needed to finish the work in 20days?
Choices:
100
250
300
400
Answer: B
Question: Pipe A can fill a tank in 9 hours. Due to a leak at the bottom, it takes 12 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
Choices:
36
18
26
12
Answer: A
Question: 85% of a number is added to 24, the result is the same number. Find the number?
Choices:
288
279
number=160
232
Answer: C
Question: What is the units digit of (52^5)(37^3)(71^9)?
Choices:
4
6
7
8
Answer: B
Question: In how many ways can 21 books on English and 19 books on Hindi be placed in a row on a shelf so that two books on Hindi may not be together?
Choices:
1540
1995
3672
2314
Answer: A
Question: The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 20 with him, what was the average amount with the group before his joining the group?
Choices:
s.12
s.15
s.29
s.20
Answer: D
Question: If 1 tic equals 4 tacs and 5 tacs equal 8 tocs, what is the ratio of one tic to one toc?
Choices:
6/5
5/6
32/5
1/15
Answer: C
Question: In a class there are 20 boys and 30 girls. In how many ways can a boy and a girl be selected?
Choices:
500
600
530
630
Answer: B
Question: Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
Choices:
10 minutes
88
566
222
Answer: A
Question: Man1 alone can do a piece of work in 6 days and Man2 alone in 8 days. Man1 and Man2 undertook to do it for Rs. 3200. With the help of Man3, they completed the work in 3 days. How much is to be paid to Man3?
Choices:
400
100
150
500
Answer: A
Question: A ratio between two numbers is 7:9 and their L.C.M. is 189. The Second number is
Choices:
25
20
27
None
Answer: C
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Choices:
50
88
65
22
Answer: A
Question: 1.12.91 is the first Sunday. Which is the fourth Tuesday of December 91?
Choices:
22.12.91
24.12.91
25.12.91
None of these
Answer: B
Question: A rectangular parking space is marked out by painting three of its sides. If the length of the unpainted side is 9 feet, and the sum of the lengths of the painted sides is 37 feet, find out the area of the parking space in square feet?
Choices:
120 sq.ft.
126 sq.ft.
129 sq.ft.
132 sq.ft.
Answer: B
Question: Working at their respective constant rates, Paul, Abdul and Adam alone can finish a certain work in 3, 4, and 5 hours respectively. If all three work together to finish the work, what fraction Q of the work will be done by Adam?
Choices:
12/47
1/3
5/12
20/47
Answer: A
Question: The average weight of 10 oarsmen in a boat is increased by 1.8 kg when one of the crew, who weighs 53 kg is replaced by a new man. Find the weight of the new man.
Choices:
72
75
71
None of them
Answer: C
Question: Which number, when found in the denominator of any given fraction, gives a terminating decimal?
Choices:
5^2 * 7^3
2^4 * 11^3
5^3 * 11^2
2^4 * 5^3
Answer: D
Question: A man sold 18 toys for Rs. 21000, gaining thereby the cost price of 3 toy find the cost price of a toy
Choices:
s. 800
s.500
s.900
s. 1000
Answer: D
Question: If the tens digit x and the units digit y of a positive integer n are reversed, the resulting integer is 45 more than n. What is y in terms of x ?
Choices:
x+5
x+4
x-3
x-4
Answer: A
Question: A man has Rs. 630 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choices:
60
75
90
118.125
Answer: D
Question: One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,90,000 as total savings, how much has he saved in Public Provident Fund ?
Choices:
60000
50000
76000
90000
Answer: C
Question: A shopkeeper buys mangoes at the rate of 6 a rupee and sells them at 5 a rupee. Find his net profit or loss percent?
Choices:
33 7/3 %
33 1/3 %
33 5/8 %
20 %
Answer: D
Question: In how many different number of ways 5 men and 3 women can sit on a shopa which can accommodate persons?
Choices:
B)6720
C)6570
D)210
E)230
Answer: A
Question: The list price of an article is Rs.66. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
Choices:
4.45%
5.45%
6.45%
7.45%
Answer: B
Question: A shopkeeper buys two articles for Rs.1000 each and then sells them, making 30% profit on the first article and 30% loss on second article. Find the net profit or loss percent?
Choices:
768
276
300
279
Answer: C
Question: Excluding the stoppages, the speed of a bus is 12 km/hr and including the stoppages the speed of the bus is 6 km/hr. For how many minutes does the bus stop per hour?
Choices:
30 min
12 min
20 min
18 min
Answer: A
Question: A square is of side 1 km. A man travels first 2 sides with the 30 mph and third side with 60 kmph. What is the speed that man has to travel the fourth side if the average speed is 60 kmph
Choices:
110 Kmph
120 Kmph
130 Kmph
140 Kmph
Answer: B
Question: A library has an average of 510 visitors on Sunday and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is
Choices:
276
280
285
None
Answer: C
Question: If a store adds 100 chairs to its current inventory, the total number of chairs will be the same as three-halves the current inventory of chairs. If the manager wants to increase the current inventory by 10%, what will the new inventory of chairs be?
Choices:
60
100
140
220
Answer: D
Question: A can do a work in 24 days and B can do it in 12 days. In how many days A and B can do the work?
Choices:
10 days
6 days
5 days
8 days
Answer: D
Question: How many prime numbers between 1 and 100 are factors of 143?
Choices:
5
4
2
3
Answer: C
Question: Solve below question
y : 6y - 27 + 3y = 4 + 9 - y
Choices:
4
6
7
8
Answer: A
Question: In the fifth grade at Parkway elementary school there are 420 students. 296 students are boys and 250 students are playing soccer. 86% of the students that play soccer are boys. How many girl student are in Parkway that is not playing soccer?
Choices:
73.
81
91
89
Answer: D
Question: The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 5 months, find for how much time did Q invest the money?
Choices:
10
28
20
11
Answer: A
Question: what is the area of a circle having the same perimeter as that of a square whose area is 121.
Choices:
307
308
309
310
Answer: B
Question: A password for a computer uses five digits from 0 to 9, inclusive. What is the probability that the digits of the password solely consist of prime numbers or zero?
Choices:
A)1/32
C)1/8
D)2/5
E)1/2
Answer: A
Question: A train passes a man standing on the platform. If the train is 170 meters long and its speed is 72 kmph, how much time it took in doing so?
Choices:
8 1/9 sec
8 2/2 sec
8 1/2 sec
2 1/2 sec
Answer: C
Question: Erik's mother gave him $86 to go to the store. Erik bought 3 loaves of bread and 3 cartons of orange juice. Each loaf of bread cost $3 and each carton of orange juice cost $6. How much money does Erik have left?
Choices:
$27
$59
$75
$35
Answer: B
Question: A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:
Choices:
9 2/5 days
9 3/5 days
10
15
Answer: B
Question: If x and y are integers such that |y + 3| ≤ 3 and 2y – 3x + 6 = 0, what is the least possible value E of the product xy?
Choices:
-3
0
2
None of the above
Answer: B
Question: Look at this series 8, 22, 8, 28, 8, ... What number should come next?
Choices:
34
12
44
30
Answer: A
Question: 2+2+2²+2³ ... +2^11
Choices:
2^10
2^16
2^12
2^37
Answer: C
Question: One fourth of one third of two fifth of a number is 30. What will be40% of that number
Choices:
A)360
C)180
D)200
E)220
Answer: A
Question: 30 square stone slabs of equal size were needed to cover a floor area of 67.5 sq.m. Find the length of each stone slab?
Choices:
150cm
88cm
666cm
776cm
Answer: A
Question: If a = 105 and a^3= 21 * 25 * 15 * b, what is the value of b?
Choices:
42
45
147
54
Answer: C
Question: Eight litres are drawn off from a vessel full of water and substituted by pure milk. Again eight litres of the mixture are drawn off and substituted by pure milk. If the vessel now contains water and milk in the ratio 9:40, find the capacity of the vessel.
Choices:
22 liters
20 liters
14 liters
28 liters
Answer: C
Question: A train having a length of 240 m passes a post in 24 seconds. How long will it take to pass a platform having a length of 640 m?
Choices:
99 sec
89 sec
80 sec
88 sec
Answer: D
Question: P, Q and R can do a work in 5 , 7 and 10 days respectively. They completed the work and got Rs.310. What is the share of Q and R respectively?
Choices:
100 and 90
100 and 110
70 and 100
100 and 70
Answer: D
Question: Two trains travelling in the same direction at 40 and 22 kmph completely pass off another in 1 minute. If the length of the first train is 125 m, what is the length of the second train?
Choices:
189 m
175 m
134 m
972 m
Answer: B
Question: The probability is 1/2 that a certain coin will turn up heads on any given toss. If the coin is to be tossed three times, what is the probability that on at least one of the tosses the coin will turn up tails?
Choices:
1/2
3/4
7/8
15/16
Answer: C
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Choices:
140
175
214
None of these
Answer: A
Question: Jennifer works 20 days a month at d dollars per day for m months out of the year. Which of the following represents her yearly pay?
Choices:
20d
10md/6
20d/m
20md
Answer: D
Question: In how many ways W can the crew of a ten oared boat be arranged ,when of the ten persons available, 2 of whom can row only on the bow side and 3 of whom can row only on the stroke side?
Choices:
2. 10!/(8! * 7!)
3. 5!/(3! * 2!)
4. (5!)^3/(3! * 2!)
5. 5!/(8! * 7!)
Answer: C
Question: A monkey climbs 30 feet at the beginning of each hour and rests for a while when he slips back 20 feet before he again starts climbing in the beginning of the next hour. If he begins his ascent at 10.00 a.m., at what time will he first touch a flag at 120 feet from the ground?
Choices:
5 p.m.
6 p.m.
8 p.m.
None of these
Answer: C
Question: A swimming pool 9 m wide and 12 m long is 1 m deep on the shallow side and 4 m deep on the deeper side. Its volume is:
Choices:
262
270
272
None of these
Answer: B
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:
6
7
8
10
Answer: D
Question: What is the smallest prime number?
Choices:
1
2
3
4
Answer: B
Question: If a coin has an equal probability of landing heads up or tails up each time it is flipped , what is the probability that the coin will land heads up exactly twice in 2 consecutive flips ?
Choices:
0.225
0.25
0.5
0.666
Answer: B
Question: What will come in place of the x in the following Number series? 6, 12, 21, 33 , x
Choices:
35
39
48
42
Answer: C
Question: Before being simplified, the instructions for computing income tax in country R were to add 4 percent of one's annual income to the average(arithmetic mean) of 100 units of Country R's currency and 1 percent of one's annual income. Which of the following represents the simplified formula for computing the income tax, in country R's currency, for a person in that country whose annual income is I?
Choices:
50 + 3I/100
50+ I/40
100+ I/50
50+ 9I/200
Answer: D
Question: A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 350 m long platform?
Choices:
66
88
47
88
Answer: C
Question: A rectangular football field is fenced on all four sides. The length of the football field is twice the length of its breadth. The cost of fencing the field was $360. The football management has decided to change the dimensions of field by increasing the breadth by 50% of its original value and reducing the length by 5% of its original value and fence the field again.. What will be the cost of the new fencing?
Choices:
$180
$425
$408
$415
Answer: C
Question: Reeya obtained 65, 67, 76, 82 and 85 out of 100 in different subjects, What will be the average
Choices:
75
80
85
90
Answer: A
Question: In a lottery, there are 10 prizes and 35 blanks. A lottery is drawn at random. What is the probability of getting a prize?
Choices:
2/5
2/7
2/9
None
Answer: C
Question: During a trip on an expressway, Don drove a total of x miles. His average speed on a certain 5-mile section of the expressway was 30 miles per hour, and his average speed for the remainder of the trip was 60 miles per hour. His travel time for the x-mile trip was what percent greater than it would have been if he had traveled at a constant rate of 60 miles per hour for the entire trip?
Choices:
50%
x/12%
60/x%
500/x%
Answer: D
Question: When positive integer k is divided by 6 the remainder is 3. Which of the following CANNOT be an even integer?
Choices:
k -11
4k + 2
(k-3)/3 +2
k/3
Answer: B
Question: what is the smallest integer that is multiple of 3,5,9
Choices:
B)45
C)200
D)280
E)140
Answer: A
Question: A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black?
Choices:
36/145
24/122
20/133
21/113
Answer: A
Question: f(x) is a function such that f(x) + 3f(8 - x) = x for all real numbers x. Find the value of f(2)
Choices:
1
2
3
4
Answer: B
Question: A swimming pool 9 m wide and 12 m long is 1 m deep on the shallow side and 4 m deep on the deeper side. Its volume is?
Choices:
277m3
270m3
220m3
170m3
Answer: B
Question: A little old lady lives in a house with only her children and the children each have pets. She has twice as many sons as daughters. Each son has a dog, and each daughter has a cat. If the total number of pets and children living with her are Y, then how many dogs live in the house, in terms of Y
Choices:
Y/2
2*Y
3*Y
Y/3
Answer: D
Question: A bus starts from city X. The number of women in the bus is half of the number of men. In city Y, 20 men leave the bus and ten women enter. Now, number of men and women is equal. In the beginning, how many passengers entered the bus ?
Choices:
90
36
45
46
Answer: A
Question: If a no. when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing the same no. by 39
Choices:
13
15
17
19
Answer: B
Question: The average height of 35 boys in a class was calculated as 183cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places).?
Choices:
181.29 cm
978.29 cm
178.89 cm
176.29 cm
Answer: A
Question: If Y < X and XM >YM, what must be true?
Choices:
M < Y.
X < 0.
M > 0.
Y < 0.
Answer: C
Question: The banker's discount on Rs.1650 due a certain time hence is Rs.165. Find the true discount and the banker's gain.
Choices:
15
18
21
None
Answer: A
Question: In a recent survey at a local deli, it was observed that 3 out of 5 customers bought a bagel and 5 out of 7 customers bought a coffee. Some customers bought both. If 7 customers are selected, what are the chances that at least 1 customer bought a coffee and a bagel?
Choices:
3/7
27/125
341/422
9/125
Answer: C
Question: A motorcycle importer is planning on increasing the price of a certain model by $1000. At this new price 6 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:
65
67
68
70
Answer: A
Question: An article is bought for Rs.695 and sold for Rs.900, find the gain percent?
Choices:
33 1/3%
23 1/3%
35 1/3%
29 69/139%
Answer: D
Question: Aish started a business investing Rs. 25,000 in 2010, In 2011, he invested an additional amount of Rs. 10,000 and Roshan joined him with an amount of Rs. 35,000. In 2012, Aish invested another additional amount of Rs. 10,000 and Atul joined them with an amount of Rs. 35,000. What will be Roshan’s share in the profit of Rs. 1,20,000 earned at the end of 3 years from the start of the business in 2010?
Choices:
Rs.40000
Rs.60000
Rs.70000
None of these
Answer: A
Question: Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
Choices:
4
9
13
12
Answer: A
Question: A,B worker are doing a job. Worker A takes 8 hours to do a job. B takes 10 hours to do a job. How long should it take both A and B, working together to do same job.
Choices:
4 4/9
3 2/9
5 2/9
6 4/9
Answer: A
Question: A shopkeeper sold an article at $100 with 40% profit. Then find its cost price?
Choices:
$100
$91
$71
$69
Answer: C
Question: An investment of d dollars at k percent simple annual interest yields $200 over a 2 year period. In terms of d, what dollar amount invested at the same rate will yield $2,400 over a 3 year period?
Choices:
(3d)/4
(4d)/3
(3d)/2
8d
Answer: D
Question: In a match, awards are given to each of 11 members of the team and a trophy to the team. In all winning team gets 2.75kg weight awards. If the weight of match wining trophy is 1.275kg, what the weight of each player giving weight of trophy ?
Choices:
134.09 gms
154.09 gms
164.09 gms
174.09 gms
Answer: A
Question: 10^25 - 760 is divisible by all of the following except:
Choices:
B.8
C.5
D.4
E.7
Answer: D
Question: If N = 16 × 10^(-p) and −4 < p < 4, how many different integer values of p will make N a perfect square?
Choices:
2
3
5
7
Answer: B
Question: Two same glasses are respectively 1/4th 1/5th full of milk. They are then filled with water and the contents mixed in a tumbler. The ratio of milk and water in the tumbler is?
Choices:
9:31
9:390
9:36
9:33
Answer: A
Question: In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?
Choices:
106920
109260
102960
120960
Answer: D
Question: The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is
Choices:
0.5904
0.5909
0.8904
0.5984
Answer: A
Question: In a certain code '13' means 'stop smoking' and '59' means 'injurious habit'. What is the meaning of '9' and '5' respectively in that code ?
I. '157' means 'stop bad habit'.
II. '839' means 'smoking is injurious'.
Choices:
If the data in statement II alone are sufficient answer the question
If the data either in I or II alone are sufficient to answer the question;
If the data even in both the statements together are not sufficient to answer the question
If the data even ether are not sufficient to answer the question
Answer: B
Question: How many numbers between 100 and 672 are divisible by 2, 3, and 7 together?
Choices:
77
267
14
99
Answer: C
Question: Two trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
Choices:
266
990
20
11
Answer: C
Question: From the word 'JAMIE', how many independent words can be made with-out changing the order of the letters and using each letter only once ?
Choices:
8
3
2
1
Answer: D
Question: 15 51 216 1100 ? 46452
Choices:
6630
6560
6530
None of these
Answer: A
Question: The total number of even prime number is
Choices:
1
2
3
None of these
Answer: B
Question: Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18: 5.17: 2.05. If altogether they baked a batch of 148 cookies, what percent of the cookies did Irin bake?
Choices:
1.25%
12.5%
56%
0.152%
Answer: C
Question: What will be the compound interest on a sum of Rs. 24,500 after 3 years at the rate of 12% p.a.?
Choices:
s.9920.736
s.10123.20
s.10123.29
s.10123.28
Answer: A
Question: In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
Choices:
720
4320
2160
None
Answer: A
Question: The G.C.D. of 1.08, 0.36 and 0.15 is?
Choices:
0.9
0.03
0.108
none of these
Answer: B
Question: If a population of women in a town is 30% of men . What is the population of men as a % of population of women ?
Choices:
A)333%
C)50%
D)65%
E)110%
Answer: A
Question: Which of the following is equal to 10^-(-3)^1?
Choices:
1/(10^6)
1/(10^3)
1/(10^8)
1/(10^9)
Answer: B
Question: There are 12 red balls, 10 blue balls, 14 green balls and 9 black balls in a bag. What is the minimum number of balls to be taken out of the bag to assure that you have all the balls of one color?
Choices:
23
42
40
16
Answer: B
Question: A work can be completed by 12 boys in 24 days and 12 girls in 12 days. In how many days would the 6 boys and 6 girls working together complete the work?
Choices:
18
16
20
24
Answer: B
Question: Find the greatest number of five digits to which if 7143 is added, the final number becomes exactly divisible by 18, 24, 30, 32 and 36.
Choices:
81111
27999
27711
99417
Answer: D
Question: In the xy-coordinate system, what is the slope of the line that goes through the point (4, 4) and is equidistant from the two points P = (0, 2) and Q = (12, 8)?
Choices:
0.3
0.5
0.7
0.9
Answer: B
Question: 10 positive integers are arranged in ascending order. The range of first seven is 25 and last 7 is 30. What will be the difference in minimum range of the set in following 2 cases
1) when 10 integers are distinct.
2) when the integers can be repeated in the set?
Choices:
3
7
25
30
Answer: A
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:
1.3
1.4
1.5
1.1
Answer: C
Question: John began driving from home on a trip averaging 30 miles per hour. How many miles per hour must Carla drive on average to catch up to him in exactly 3 hours if she leaves 30 minutes after John?
Choices:
35
39
40
60
Answer: A
Question: A box contains 6 white, 5 red and 8 white marbles. 5 marbles are drawn from the box at random. What is the probability that both the marbles are of the same color?
Choices:
36/11628
613/11628
6113/11628
63/11628
Answer: D
Question: The cost price of 11 articles is equal to the selling price of 10 articles. What is the profit percent?
Choices:
10%
15%
20%
25%
Answer: A
Question: A restaurant sells salmon pizzas for $13 each and pepperoni pizzas for $9 each. On every salmon pizza the restaurant makes a profit of $3 while on every pepperoni pizza it makes a profit of $1. If on a given day the restaurant's sales amounted to $468, which of the following cannot be the profit made on that day?
Choices:
94
88
80
66
Answer: B
Question: Percentage of profit earned by selling a book for $3360 is equal to the percentage loss incurred by selling the same book for $2640. What price should the book be sold to make 20% profit?
Choices:
$3600
$3500
$3700
$4000
Answer: A
Question: Sarah's seafood restaurant gets a delivery of fresh seafood every day, 5 days per week, and her delivery company charges herddollars per delivery plusccents per item delivered. If lst week Sarah's seafood restaurant had an average ofxitems per day delivered, then which of the following is the total cost, in dollars, of last week's deliveries ?
Choices:
d + 5cx/100
5d + xc/100
5d + 5xc/100
5cdx
Answer: C
Question: At a certain resort, each of the 39 food service employees is trained to work in a minimum of 1 restaurant and a maximum of 3 restaurants. The 3 restaurants are the family buffet, the dining room, and the snack bar. Exactly 21 employees are trained to work in the family buffet, 18 are trained to work in the dining room, and 12 are trained to work in the snack bar. If 4 employees are trained to work in exactly 2 restaurants, how many employees are trained to work in all 3 restaurants?
Choices:
3
4
5
6
Answer: B
Question: A sum of Rs. 2665 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?
Choices:
Rs. 1640
Rs.523
Rs.458
Rs.796
Answer: A