antoine-444/aqua_rat_dataset huggingface dataset:
Question: The present ages of three persons in proportions 4 : 1 : 5. Eight years ago, the sum of their ages was 56. Find their present ages (in years).
Choices:
16, 28, 36
16, 28, 35
16, 28, 34
32, 8, 40
Answer: D
Question: Find the average of first 5 multiples of 5?
Choices:
15
12.5
13
21
Answer: A
Question: A class contains five juniors and five seniors. If one member of the class is assigned at random to present a paper on a certain subject, and another member of the class is randomly assigned to assist him, what is the probability W that both will be juniors?
Choices:
1/5
2/9
2/5
1/2
Answer: B
Question: A fruit salad mixture consists of apples, peaches, and grapes. There are 3 times as many pounds of apples as grapes and 2.5 times as many pounds of peaches as grapes. If a mixture that has an average (arithmetic mean) of 26 pounds per fruit, how many more pounds of apples than grapes does the mixture have?
Choices:
24
9
6
5
Answer: A
Question: If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:
Choices:
4 days
6 days
8 days
2 days
Answer: A
Question: The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
Choices:
15
17
19
16
Answer: C
Question: By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent?
Choices:
42 5/8%
42 6/4%
42 6/8%
42 1/7%
Answer: C
Question: In boring a well 50 m deep, the cost is
Rs.4/– for the first meter. The cost of each successive meter
increases by Rs.2/–. What is the cost of boring the entire well?
Choices:
2650
3650
4650
2850
Answer: A
Question: In a panel of 10 light bulbs, the odds of any light bulb to burn out are 0.07 at any given 10 minutes. Should a light bulb burn out, the whole panel would instantly turn off. What are the odds that the panel would be turned off within the first 10 minutes after it was switched on?
Choices:
1-0.93^10
(1-0.93)^10
0.06
1-10*0.07
Answer: A
Question: A Train requires 10 seconds to pass a pole while it requires 40 seconds to cross a stationary train which is 300 mtrs long. Find the speed of the train.
Choices:
36kmph
48kmph
52kmph
64kmph
Answer: A
Question: The ratio of the number of females to males at a party was 1:2 but when 4 females and 4 males left, the ratio became 1:3. How many people were at the party originally?
Choices:
22
24
26
28
Answer: B
Question: 1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 -2/15 =
Choices:
2/15
2/5
9/20
5/6
Answer: A
Question: A certain essay consists of 14 paragraphs. Each paragraph contains at least 105 words but not more than 110 words. Which of the following could be the total number of words in the essay?
Choices:
1520
1640
1740
1840
Answer: A
Question: The sum of two numbers is 16. The difference is 8. What are the two numbers?
Choices:
8-8
12-4
11-5
13-3
Answer: B
Question: The speed of a boat in upstream is 80 kmph and the speed of the boat downstream is 160 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
99
40
55
22
Answer: B
Question: If y is the smallest positive integer such that 1260 multiplied by y is the square of an integer, then y must be
Choices:
35
60
75
140
Answer: A
Question: The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Choices:
80,20 kmph
80,10 kmph
80,40 kmph
80,90 kmph
Answer: C
Question: A invested $300 in a business after 6 months B invested $200 in the business. End of the year if they got $100 as profit. Find B's shares?
Choices:
$75
$25
$120
$50
Answer: B
Question: A third of Arunâ€™s marks in mathematics exceed a half of his marks in English by 20.If he got 360 marks in two subjects together how many marks did he got in English?
Choices:
240,120
280,90
220,140
None of them
Answer: A
Question: If the unit digit in the product (459x46x28*x484) is 2, the digit in place of * is
Choices:
5
7
4
8
Answer: B
Question: A and B are two stations 390 km apart. A train starts from A at 10 a.m. and travels towards B at 65 kmph. Another train starts from B at 11 a.m. and travels towards A at 35 kmph. At what time do they meet?
Choices:
2.15 pm
4.15 pm
3.15 pm
12.15 pm
Answer: A
Question: A sum of money at simple interest amounts to Rs. 800 in 3 years and to Rs. 850 in 4 years. The sum is:
Choices:
Rs. 690
Rs. 600
Rs. 625
Rs. 654
Answer: B
Question: The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
Choices:
2977
2677
4530
1971
Answer: C
Question: A present value of a machine is $1200. Its value depletion rate is 10% per annum then find the machine value after 2 years?
Choices:
$972
$915
$715
$795
Answer: A
Question: Kiran travels from A to B by car and returns from B to A by cycle in 6 hours. If he travels both ways by car he saves 3 hours. What is the time taken to cover both ways by cycle?
Choices:
8 hours
10 hours
21 hours
12 hours
Answer: A
Question: Half a number plus 7 is 11.What is the number?
Choices:
8
10
11
12
Answer: A
Question: A boat goes 100 km downstream in 10 hours, and 30 m upstream in 15 hours. The speed of the stream is?
Choices:
22 1/4
22 1/2
4
22 1/3
Answer: C
Question: The size of a flat-screen tablet is given as the length of the screen’s diagonal. How many square inches greater is the screen of a square 8-inch flat-screen tablet than a square 7 -inch flat-screen tablet?
Choices:
7.3
7.2
7.5
8.0
Answer: C
Question: Richard has to paint a mural with seven horizontal stripes. He only has enough paint for four brown stripes, four green stripes, four red stripes, four blue stripes, four white stripes, four black stripes, and four yellow stripes. If his patron wants at most two different colors in the mural, how many different ways can he paint the wall?
Choices:
350
1470
2,520
5,040
Answer: B
Question: A completes 80% of a work in 20 days. Then B also joins and A and B together finish the remaining
work in 3 days. How long does it need for B if he alone completes the work?
Choices:
3612
3712
3812
None of these
Answer: B
Question: Three cottage of the same type were advertised to be let in a area. Three men made separate applications for a cottage. What is the probability that each of them applied for the same cottage.
Choices:
2/9
1/9
4/9
2/27
Answer: B
Question: Lavanya can read a book in L minutes. What part of the book can he read in 10 minutes?(L>10)
Choices:
10/L
8 + k
k-8
8/k
Answer: A
Question: A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Choices:
266
230
288
271
Answer: B
Question: Jackie, Mark, Dave line up at a ticket window. In how many ways can they arrange themselves so that Dave is third in line from the window?
Choices:
b 12
c 9
d 6
e 2
Answer: C
Question: A thief is spotted by a policeman from a distance of 150 meters. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 8km/hr and that of the policeman 10 km/hr, how far the thief will have run before he is overtaken?
Choices:
200m
400m
600m
None of them
Answer: C
Question: A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is
Choices:
285
878
227
291
Answer: A
Question: A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is:
Choices:
9
12
49
40
Answer: A
Question: The unit digit in the product 1256*6785*4587*9785 is?
Choices:
0
2
3
4
Answer: A
Question: 15 people entered a theater before Sujit. 7 people entered the theater between Sujit and Suraj and 20 people entered the theater after Suraj. If Suraj entered the theater before Sujit then how many people are there in the theater?
Choices:
28
44
40
Cannot be determined
Answer: A
Question: A man has Rs. 240 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:
70
45
80
60
Answer: B
Question: The average weight of 19 students is 15kg. by the admission of a new student the average weight is reduced to 14.4 kg. the weight of the new student is ?
Choices:
3 kg
11 kg
14.9 kg
None
Answer: A
Question: After decreasing 24% in the price of an article costs Rs.608. Find the actual cost of an article?
Choices:
277
800
2688
1991
Answer: B
Question: The reciprocal of the hcf and lcm of two are 1/15 and 1/312 .if one of the number is 24 then other no. is
Choices:
136
146
156
195
Answer: D
Question: At what rate percent on simple interest will Rs.750 amount to Rs.900 in 8 years?
Choices:
2.5%
4%
5%
3.5%
Answer: A
Question: 0.9*0.007= ­­­­­­­­­­_________
Choices:
0.0063
0.63
0.00063
63
Answer: A
Question: The ratio of males to females in a class is 2:3. The career preferences of the students in the class are represented in a circle graph. If the area of the graph allocated to each career preference is proportional to the number of students who have that career preference, how many degrees of the circle should be used to represent a career that is preferred by one-fourth of the males and one-half of the females in the class?
Choices:
136
144
152
160
Answer: B
Question: Andy solves problems 70 to 125 inclusive in a Math exercise. How many problems does he solve?
Choices:
56
51
50
49
Answer: A
Question: What sum of money will produce Rs.70 as simple interest in 4 years at 3 1/2 percent?
Choices:
100
882
262
221
Answer: A
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 400 resolutions.
Choices:
562.68 m
563.68 m
564.68 m
565.68 m
Answer: A
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 80, 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+40
(80+K)/2
(80-K)/2
2(80-K)
Answer: B
Question: In a family, there are six members A, B, C, D, E and F.
A and B are a married couple, A being the male member. D is the only son of C, who is the brother of A. E is the sister of D. B is the daughter-in-law of F, whose husband has died. How is E related to C ?
Choices:
Daughter
Cousin
Mother
Father
Answer: A
Question: It takes printer A 4 more minutes more than printer B to print 40 pages. Working together, the two printers can print 50 pages in 6 minutes. How long will it take Printer A to print 100 pages?
Choices:
18
20
24
30
Answer: D
Question: In how many ways can 5 different toys be packed in 3 identical boxes such that no box is empty, if any of the boxes may hold all of the toys?
Choices:
30
25
600
None of these
Answer: B
Question: Four horses are tethered at 4 corners of a square field of side 70 metres so that they just cannot reach one another. The area left ungrazed by the horses is:
Choices:
1050 sq.m
950 sq.m
1075 sq.m
1065 sq.m
Answer: A
Question: Set V consists of integers {3, -8, Y, 19, -6} and set B consists of integers {k, -3, 0, 16, -5, 9}. Number L represents the median of set V, number M represents mode of set B and number Z = L^M. If Y is an integer greater than 21, for what value of k will Z be a divisor of 26?
Choices:
-1
0
1
2
Answer: B
Question: What is 15 percent of 58?
Choices:
7.4
8.7
9.3
10.4
Answer: B
Question: Pipes A and B can fill a tank in 3 and 4 hours. Pipe C can empty it in 4 hours. If all pipes are opened together, then the tank will be filled in?
Choices:
3hr
1hr
9/7hr
5/3hr
Answer: A
Question: A 125 meter long train crosses a man standing on the platform in 5 sec. What is the speed of the train?
Choices:
108
278
126
90
Answer: D
Question: There are 1500 military people in a division of the army. There is one Officer for every 24 soldiers in that division. Now the question is how many officers are in the division?
Choices:
35
37
73
60
Answer: D
Question: A company blends two varieties of tea from two different tea gardens, one variety costing 20 per kg and other 25 per kg, in the ratio 5 : 4. He sells the blended tea at 23 per kg. Find his profit percent
Choices:
3.5% loss
3.5% profit
No profit, no loss
None of these
Answer: B
Question: For each positive integer,the quantitySn is defined such thatSn+1=(Sn)^2 -S(n+1).in addition ,S2=1.then which of the following must be true.
Choices:
a)S4 +S3 +1=0
c) ifS1=-1thenS4 is also equal to-1.
d) ifS4 =-7thenS1=-2.
e) ifS1 =-3thenS4=-7
Answer: A
Question: A theater is opening and has free seating. There are 15 people who want to watch a movie, and the theater has 10 seats: 1 near the exit, 4 on the first row, 4 in middle row, and 1 in the last row. Only 4 people are claustrophobic and can sit near the exit and they cannot sit anywhere. The other people can sit anywhere. How many different groupings are possible?
Choices:
788922
138600
383848
458569
Answer: B
Question: Last year, for every 100 million vehicles that traveled on a certain highway, 100 vehicles were involved in accidents. If 2 billion vehicles traveled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000)
Choices:
1500
2500
2000
1000
Answer: C
Question: The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes?
Choices:
15
99
77
55
Answer: A
Question: A person crosses a 400m long street in 6 minnutes. What is his speed in km per hour?
Choices:
7.2km/hr
9km/hr
2.5km/hr
4km/hr
Answer: D
Question: A number increased by 10% gives 550. The number is
Choices:
500
450
500
520
Answer: A
Question: A shopkeeper fixes the marked price of an item 32% above its cost price. The percentage of discount allowed to gain 7% is
Choices:
18.93%
18.92%
18.91%
None of these
Answer: A
Question: The banker's gain on a sum due 6 years hence at 12% per annum is Rs. 540. What is the banker's discount?
Choices:
1120
1190
1290
None of these
Answer: C
Question: If the units digit of n^33 is 7, which of the following could be the value of n?
I. n = 41
II. n = 43
III. n = 47
Choices:
Only II
Only III
I and II
II and III
Answer: B
Question: √(49)2
Choices:
14
49
21
None of these
Answer: B
Question: If the sales tax be reduced from 4 (1/4) % to 1 (1/2) %, then what difference does it make to a person who purchases a bag with marked price of Rs. 4500?
Choices:
Rs. 150.23
Rs. 123.75
Rs. 135.06
None of these
Answer: B
Question: Sixteen percent of the programmers in a startup company weigh 200 pounds or more. Twenty-five percent of the programmers that are under 200 pounds in that same company weigh 100 pounds or less. What percent of the programmers in the startup company weigh between 100 and 200 pounds?
Choices:
20%
25%
63%
75%
Answer: C
Question: If the average (arithmetic mean) of five consecutive negative integers is 12k – 1, what is the difference between the greatest and least of the five integers?
Choices:
4k^2 -4k
4-4k
4
4k+4
Answer: C
Question: The maximum length of a pencil that can be kept in a rectangular box of dimensions 8cm×6cm×2cm, is :
Choices:
2√14 cm
2√26 cm
10√2 cm
None of these
Answer: B
Question: An inspector rejects 0.05% of the meters as defective. How many will he examine to reject 2?
Choices:
B)2000
C)2500
D)3000
E)4000
Answer: D
Question: the average distance between the sun and a certain planet is approximatly 3.7 10^13 inches. which of the following is the closest to the average distence between sun and the planet in kelometers? (1 km is approx 3.9 x 10^4 inches)
Choices:
9.5 x(10)^9
9.5 x(10)^4
9.5 x(10)^3
9.5 x(10)^8
Answer: D
Question: In the Hillside summer camp there are 50 children. 85% of the children are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of children in the camp. How many more boys must she bring to make that happen?
Choices:
45.
50.
30.
25.
Answer: B
Question: At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.20000?
Choices:
6620
6626
6622
6629
Answer: A
Question: There are some birds in cage, 1/3rd fly away . Then 2/5th of the remaining left the cage , then 2/3rd of the remaining left the cage . At last 8 were remaining . How many birds were in total ?
Choices:
60
28
26
91
Answer: A
Question: David obtained 74, 65, 82, 67 and 90 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Choices:
B)99
C)68
D)82
E)76
Answer: D
Question: In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 4000, the number of valid votes that the other candidate got, was:
Choices:
1200
1650
3700
1800
Answer: D
Question: The total car population in a Mumbai is 2,94,00 out of which 1,50,00 are made by Honda. Out of every 100 Honda cars, 98 are red in color, but only 53% of the total car population is red. Find the % of non-Honda cars that are red
Choices:
5.35%
6.125%
7.45%
8%
Answer: B
Question: Look at this series: V, VIII, __, XIV, XVII, XX, ... What number should fill the blank?
Choices:
XXIII
XV
XI
None
Answer: C
Question: A train passes a station platform in 39 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
279 m
240 m
207 m
285 m
Answer: D
Question: An intern wants to label folders with numbers using digit stickers only. If the intern uses 999 stickers, how many folders have been numbered? (The numbers of the folders are consecutive and the number of the first folder is 1).
Choices:
369
370
371
430
Answer: A
Question: A train 440 meters long is running with a speed of 65 kmph. The time taken by it to cross a tunnel 180 meters long is?
Choices:
41.338 sec
42.338 sec
40 sec
34.338 sec
Answer: D
Question: If x is an integer, then x(x - 1)(x - y) must be evenly divisible by three when y is any of the following values EXCEPT
Choices:
-2
-1
2
5
Answer: A
Question: A tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume. If 2,000 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
Choices:
3.75%
6.25%
6.67%
11.7%
Answer: B
Question: If a particular player is always chosen, in how many ways can a cricket-be chosen out of 15 players?
Choices:
1543
1578
1654
1365
Answer: D
Question: Solution X is 10 percent alcohol by volume, and solution Y is 30 percent alcohol by volume. How many milliliters of solution Y must be added to 200 milliliters of solution X to create a solution that is 25 percent alcohol by volume?
Choices:
500/3
400
480
600
Answer: D
Question: 6) A marketing firm determined that , of 300 households surveyed, 80 used neither Brand A nor Brand B soap.60 used only Brand A soap and for every household that used both brands of soap, 3 used only brand B soap.how many of the 200 household surveyed used both brands of soap?
Choices:
b) 20
c) 30
d) 40
e) 45
Answer: C
Question: There are 6 red shoes, 4 green shoes. If one draw randomly a shoe what is the probability of getting a red shoe
Choices:
2/9
3/5
4/9
2/3
Answer: B
Question: The cross-section of a cannel is a trapezium in shape. If the cannel is 10 m wide at the top and 6 m wide at the bottom and the area of cross-section is 640 sq m, the depth of cannel is?
Choices:
28
27
80
25
Answer: C
Question: If the a radio is sold for Rs 490 and sold for Rs 465.50.find loss%.
Choices:
5%
6%
3%
5.5%
Answer: A
Question: Find the value of 72519 x 9999 = m?
Choices:
654676854
667676753
725117481
764534522
Answer: C
Question: A cube with its sides numbered 1 through 6 is rolled twice, first landing on a and then landing on b. If any roll of the cube yields an equal chance of landing on any of the numbers 1 through 6, what is the probability Q that a + b is prime?
Choices:
1/12
5/12
7/18
4/9
Answer: B
Question: A car gets 40 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 180 kilometers?
Choices:
2.7 gallons
5.7 gallons
4.5 gallons
7.5 gallons
Answer: C
Question: The number of boys in a class is (7/2) times the number of girls. Which one of the following numbers cannot represent the total number of children in the class ?
Choices:
B)54
C)42
D)40
E)38
Answer: A
Question: What is the rate percent when the simple interest on Rs.1500 amount to Rs.250 in 5 Years?
Choices:
3.33%
2%
95%
1%
Answer: A
Question: If 40% of a number is 16, then the number is
Choices:
number is 70
number is 90
number is 40
None of these
Answer: C
Question: In how many ways can the letters of the word CAVES be arranged in a row so that the vowels appear in alphabetic order?
Choices:
60
120
240
180
Answer: A
Question: According to the directions on a packet of smoothie mix, 1 3-ounce packet of smoothie mix is to be combined with 15 ounces of water to make a smoothie. How many 3-ounce packets of smoothie mix are required to prepare 150 12-ounce smoothies?
Choices:
150
180
240
600
Answer: B
Question: A palindrome is a number that reads the same forward and backward, such as 616. How many even, 4-digit numbers are palindromes?
Choices:
40
50
90
2500
Answer: A
Question: David was born 8 years after his father's marriage. His mother is 4 years younger than his father but 30 years older than David who is 8 years old. At what age did the father get married ?
Choices:
26 years
23 years
20 years
18 years
Answer: A
Question: I sold a book at a profit of 10%. Had I sold it for $150 more, 15% would have been gained. Find the cost price?
Choices:
$2500
$3000
$3120
$1540
Answer: B
Question: A marble shop contains 6 blue marbles, 6 red marbles, and 6 green marbles. If 4 marbles are purchased at random from the shop, what is the probability that the 4 marbles will be the same color?
Choices:
1/68
13/68
13/48
1/48
Answer: A
Question: Faiza has 8 purses, she gives 3 purse as gift. Now how many purse she have in that?
Choices:
5
11
9
4
Answer: A
Question: In a certain diving competition, 5 judges score each dive on a scale from 1 to 10. The point value of the dive is obtained by dropping the highest score and the lowest score and multiplying the sum of the remaining scores by the degree of difficulty. If a dive with a degree of difficulty of 3.2 received scores of 7.5, 7.8, 9.0, 6.0, and 8.5, what was the point value of the dive?
Choices:
73.6
75.2
76.16
81.6
Answer: C
Question: A team of eight entered for a shooting competition. The best marks man scored 85 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score?
Choices:
23/35
23/329
23/29
23/291
Answer: A
Question: In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
2.5 sec
7.6 sec
10 sec
3.6 sec
Answer: A
Question: Convert 250 inches into centimeter?
Choices:
635cm
650cm
610cm
654cm
Answer: A
Question: Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell for $18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $9 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 25 percent, what is the discount rate on Pony jeans?
Choices:
10%
11%
12%
25%
Answer: D
Question: If 12 people contributed a total of $20.00 toward a gift and each of them contributed at least $1.00, then the maximum possible amount any one person could have contributed is
Choices:
$1.25
$5.00
$9.00
$20.00
Answer: C
Question: The ratio of sodium chloride to ammonium in 100 kg of mixed ammonium normally used by three chemists is 7: 25. The amount of sodium chloride to be added to 100 kg of mixed ammonium to make the ratio 9 :25 is
Choices:
6.625 kg
6.25 kg
6.35 kg
6.55 kg
Answer: B
Question: A merchant gets a 5% discount on each meter of fabric he buys after the first 2,000 meters and a 7% discount on every meter after the next 1,500 meters. The price, before discount, of one meter of fabric is $2, what is the total amount of money the merchant spends on 4,500 meters of fabric?
Choices:
$8,710
$8,810
$8,835
$8,915
Answer: A
Question: A cycle is bought for Rs.900 and sold for Rs.990, find the gain percent?
Choices:
20%
23%
74%
10%
Answer: D
Question: There are equal numbers of male and female horses in a ranch.The number of brown horses is 30% more than the number of female brown horses.What percentage of female horses are brown if the total number of male horse is ten times more than the number of brown male horses.
Choices:
33.3
55.1
32.1
20
Answer: A
Question: Which one of the following is a composite number?
Choices:
61
85
73
2
Answer: B
Question: Suppose that f(x) is a function such that for every real number x,i)f(x)+f(1-x) = 12 and (ii) f(1+x) = 3+f(x). Then f(x)+f(-x)
must equal
Choices:
9
10
11
12
Answer: A
Question: A and B can do a work in 15days, B and C in 30days, C and A in 45days. If A,B and C work together , they will complete the work in?
Choices:
16days
20days
25days
22days
Answer: A
Question: In 1996, the property tax of a community is increased by 6% over the 1995 tax.
An additional surcharge of $200 is also added for a special project.
If the Petersons' 1996 tax totals $2108, find their property tax for the year 1995
Choices:
1800
1900
2000
2500
Answer: A
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 km/hr
17 km/hr
18 km/hr
12 km/hr
Answer: A
Question: If the cost price of 40 articles is equal to the selling price of 25 articles, what is the % profit or loss made by the merchant?
Choices:
25% profit
20% loss
60% profit
75% profit
Answer: C
Question: 27 is a perfect cube. When x is added to the prime factor of 27, the result is a prime number. What is x?
Choices:
3
5
8
11
Answer: C
Question: If 12 men do a work in 80 days, in how many days will 20 men do it?
Choices:
38 days
42 days
48 days
44 days
Answer: C
Question: A life insurance company insured 25,000 young boys, 14,000 young girls and 16,000 young adults. The probability of death within 10 years of a young boy, young girl and a young adult are 0.02, 0.03 and 0.15 respectively. One insured person dies. What is the probability that the dead person is a young boy?
Choices:
25/166
26/165
32/165
33/165
Answer: A
Question: Integer x is equal to the product of all even numbers from 2 to 60, inclusive. If y is the smallest prime number that is also a factor of x-1, then which of the following expressions must be true?
Choices:
4<y<10
10<y<20
20<y<30
y>30
Answer: D
Question: If a function f is defined by f(x)= -1/x for all non zero numbers x. If f(a) = -1/2 and f(ab) = 1/8 then b= ?
Choices:
1/4
4
-4
12
Answer: C
Question: The equal amounts of money are deposited in two banks each at 15% per annum for 3.5 years and 5 years respectively. If the difference between their interests is Rs.144, find the each sum?
Choices:
Rs.640
Rs.629
Rs.620
Rs.622
Answer: A
Question: What is the place value of 9 in the numeral 2934?
Choices:
900
700
760
768
Answer: A
Question: A certain football team played seven games and scored an average of 5 goals per game. If, in the team’s first five games, it scored 5, 4, 2, 5, and 4 goals, what was the average (arithmetic mean) number of goals scored over the last two games?
Choices:
1
2
7.5
Cannot be determined from the information given.
Answer: C
Question: The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?
Choices:
18 2/11%
18 2/81%
19 2/11%
38 2/11%
Answer: A
Question: The weight of four dogs is determined to be 25 pounds, 31 pounds, 32 pounds and 28 pounds respectively. The weight of a fifth dog is determined to be y pounds. If the average (arithmetic mean) weight of the first four dogs is the same as that of all five dogs what is the value of y?
Choices:
29
35
37
39
Answer: A
Question: List I: 3, 6, 14, 19
List II: x, 3, 14, 8, 19
Choices:
7
8
9
10
Answer: D
Question: If by selling an article for Rs.60, a person loses 1/7 of money, what would he have gained or lost % by selling it for Rs.77?
Choices:
10%
13%
14%
20%
Answer: A
Question: In a certain math department, students are required to enroll in either Calculus or Trigonometry, each of which is offered in beginner and advanced courses. The number of students enrolled in Trigonometry is 50% greater than the number of students enrolled in Calculus, and 70% of Calculus students are enrolled in the beginner course. If 4/5 of students are in the beginner courses, and one student is selected at random, what is the probability that an advanced Trigonometry student is selected?
Choices:
8%
20%
24%
40%
Answer: A
Question: The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.50 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
Choices:
Rs.1140
Rs.999
Rs.1085
Rs.1185
Answer: B
Question: When a merchant imported a certain item, he paid a 7 percent import tax on the portion of the total value of the item in excess of $1,000. If the amount of the import tax that the merchant paid was $94.50, what was the total value of the item?
Choices:
$2,350
$3,250
$3,400
$3,750
Answer: A
Question: A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container.
Choices:
27.36 liters
28 litres
29.16 litres
cannot be determined
Answer: C
Question: If the average of 744, 745, 747, 748, 749, 752, 752, 753, 755 and x is 750, what is the value of x?
Choices:
752
754
755
756
Answer: C
Question: Two bullet trains of equal lengths take 10 seconds and 30 seconds respectively to cross a telegraph post. If the length of each bullet train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?
Choices:
14 sec.
12 sec.
15 sec.
19 sec.
Answer: C
Question: What will be the length of the mini-train, if it crosses a pole in 3 sec while travelling at a speed of 75 kmph?
Choices:
65 m
63.5 m
64 m
62.5 m
Answer: D
Question: 30 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. The bigger part is :
Choices:
34
26
10
19
Answer: C
Question: Find the least number which when divided by 20,25,35,40 leaves remainder 14,19,29,34 respectively.
Choices:
1394
1245
2564
1256
Answer: A
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 180 m and they cross each other in 12 sec, then the speed of each train is?
Choices:
54
36
25
24
Answer: A
Question: In a party, there are rows arranged with 12,20 and 30 chairs and there were 3 left in all the cases. When there were 11 rows. There were no chair left. If 30 chairs were added. Then what will be the reminder?
Choices:
8
10
11
12
Answer: A
Question: David leaves home everyday at 4 p.m to pick his son from school and returns home at 6 p.m. One day, the school was over at 4 p.m and the son started walking home from school. David, unaware of this, starts from home as usual and meets his son on the way and returns home with him 15 minutes early. If the speed of David is 30 km\hr, find the speed of his son.
Choices:
6 km/hr
4.28 km/hr
9 km/hr
4.12 km/hr
Answer: B
Question: If the time is currently 1:30pm, what time will it be in exactly 479 hours?
Choices:
1:30am
12:30pm
2:30pm
10:30pm
Answer: B
Question: A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:
Choices:
120 kmph
50 kmph
80 kmph
75 kmph
Answer: A
Question: The average of five consecutive odd numbers is 61. What is the difference between the highest and lowest numbers ?
Choices:
8
5
4
2
Answer: A
Question: Given that 1.75 x 10(power 8), Which of the following options is equal to it?
Choices:
172000000
176000000
175000000
177000000
Answer: C
Question: The length of a rectangular landscape is 4times its breadth. There is a playground in it whose area is 1200 square mtr & which is 1/3rd of the total landscape. What is the length of the landscape?
Choices:
115
120
130
145
Answer: B
Question: Two positive integers differ by 4, and sum of their reciprocals is 2. Then one of the numbers is
Choices:
2
c) 5
d) 21
e) 28
Answer: A
Question: A Hotel has 6 employees; there are 5 female employees and 1 male employee. In how many ways can a 3-person committee be created if the committee must include the male employee?
Choices:
10
15
24
30
Answer: A
Question: The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?
Choices:
9.2
10
11.5
12
Answer: C
Question: If r and s are positive integers and r-s=6, which of the following has the greatest value W?
Choices:
2r
r +s
2r-s
2s-r
Answer: A
Question: The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
Choices:
7
8
4
2
Answer: B
Question: In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 80 questions and secures 120 marks, the number of questions he attempts correctly, is:
Choices:
46
42
30
40
Answer: D
Question: In a hostel, there is a meal for 120 men or 200 boys. If 150 boys have taken the meal, how many men will be catered to with remaining meal?
Choices:
30
40
50
60
Answer: A
Question: If the average (arithmetic mean) of a and b is 160, and c – a = 200, what is the average of b and c?
Choices:
260
150
225
325
Answer: A
Question: Find the ratio in which rice at Rs.7.10 a kg be mixed with rice at Rs.5.70 a kg to produce a mixture worth Rs.6.30 a kg?
Choices:
2 : 3
3 : 4
4 : 5
None of these
Answer: B
Question: Share Rs.4800 among John, Jose & Binoy in the ration 2 : 4 : 6.Find the amount received by John?
Choices:
980
1600
1240
1400
Answer: B
Question: A computer can perform c calculations in s seconds. How many minutes will it take the computer to perform m calculations?
Choices:
ms/c
ms/60c
60c/ms
m/60cs
Answer: B
Question: If −y ≥ x, and −x < −9, then which of the following must be true?
Choices:
y > −9
−y > 9
y ≤ −9
y ≥ −9
Answer: B
Question: When x is divided by y, the quotient is u with remainder r. What is x in terms of r, y, and u?
Choices:
yu + r
x/y+r
y/u+r
ru + y
Answer: A
Question: A computer store offers employees a 20% discount off the retail price. If the store purchased a computer from the manufacturer for $1000 dollars and marked up the price 20% to the final retail price, how much would an employee save if he purchased the computer at the employee discount (20% off retail price) as opposed to the final retail price.
Choices:
$960
$240
$200
$150
Answer: B
Question: A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
Choices:
20%
80%
70%
30%
Answer: A
Question: If two times A is equal to three times of B and also equal to four times of C, then A:B:C is
Choices:
3:4:2
4:6:3
6:4:3
None
Answer: C
Question: if p/q=3/4
then3p+5q=?
Choices:
29/4
20/4
35/4
25/3
Answer: A
Question: Harkamal purchased 9kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
Choices:
A)1120
C)1070
D)1075
E)1080
Answer: A
Question: A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, how far is the place?
Choices:
3 km
2.4 km
3.6 km
None of these
Answer: B
Question: A certain list of 100 data has an average (arithmetic mean) of 9 and a standard deviation of d, where d is positive. Which of the following pairs of data, when added to the list, must result in a list of 108 data with standard deviation less than d?
Choices:
0 and 0
0 and 9
0 and 18
9 and 9
Answer: D
Question: A miniature roulette wheel is divided into 10 equal sectors, each bearing a distinct integer from 1 to 10, inclusive. Each time the wheel is spun, a ball randomly determines the winning sector by settling in that sector. If the wheel is spun five times, approximately what is the probability that the product of the five winning sectors’ integers will be even?
Choices:
67%
85%
91%
97%
Answer: D
Question: If the given two numbers are respectively 8% and 16% of a third number, then what percentage is the first of the second ?
Choices:
25%
18%
50%
none of these
Answer: C
Question: What should come in place of the question mark (?) in the following equation?
6 5⁄6 × 5 1⁄3 + 17 2⁄3 × 1⁄2 = ?
Choices:
663
240
116 2⁄3
None of these
Answer: D
Question: After decreasing 24% in the price of an article costs Rs.912. Find the actual cost of an article?
Choices:
255
1200
2771
332
Answer: B
Question: A small company employs 3 men and 5 women. If a team of 4 employees is to be randomly selected to organize the company retreat, what is the probability E that the team will have exactly 2 women?
Choices:
1/7
2/7
3/7
1/2
Answer: C
Question: Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
Choices:
80 km/hr
60 km/hr
50 km/hr
120 km/hr
Answer: B
Question: An urn contains 10 balls, numbered from 1 to 10. If 2 balls are selected at random with replacement from the urn, what is the probability B that the sum of the 2 numbers on the balls will be even?
Choices:
37.5%
50%
62.5%
75%
Answer: B
Question: If a car went the first third of the distance at 80 kmh, the second third at 24 kmh, and the last third at 30 kmh, what was the average speed of the car for the entire trip?
Choices:
40 kmh
42 kmh
44 kmh
34 kmh
Answer: D
Question: What is the rate percent when the simple interest on Rs.900 amount to Rs.160 in 4 Years?
Choices:
4.44
6.44
7.44
8.44
Answer: A
Question: When a number is divided by 4 &then multiply by 12 the answer is 9 what is the no.?
Choices:
3
5.6
5.7
6.5
Answer: A
Question: Last year, the price of a vacation package was P. At the beginning of this year, the price went up 50%. Lucas used a travel voucher to purchase the vacation package at 30% off this year’s price. In terms of P, how much did Lucas pay?
Choices:
1.1*P
0.50*P
0.05*P
1.05*P
Answer: D
Question: A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
Choices:
250
976
267
287
Answer: A
Question: A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old id the mother at present?
Choices:
49
40
21
19
Answer: B
Question: Speed of a boat in standing water is 14 kmph and the speed of the stream is 1.2 kmph. A man rows to a place at a distance of 4864 km and comes back to the starting point. The total time taken by him is:
Choices:
700
540
120
635
Answer: A
Question: There is enough provisions for 1200 girls in a hostel for 50 days. If there were 600 girls less, how long will the provision last?
Choices:
80
90
95
100
Answer: D
Question: At 1:00, Annie starts to bicycle along a 87 mile road at a constant speed of 15 miles per hour. Thirty minutes earlier, Scott started bicycling towards Annie on the same road at a constant speed of 12 miles per hour. At what time will they meet?
Choices:
3:00
4:00
6:00
9:00
Answer: B
Question: The sum of 5 consecutive even numbers of set x is 440. Find the sum of a different set of five consecutive integers whose second least number is 121 less than double the least number of set x?
Choices:
230
235
236
240
Answer: D
Question: A certain sum of money is invested for one year at a certain rate of simple interest. If the rate of interest is 3% higher, then the invest earned will be 25% more than the interest earned earlier. What is the earlier rate of interest?
Choices:
18
28
12
26
Answer: C
Question: A person travels from P to Q a speed of 40 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips?
Choices:
87
48
77
51
Answer: B
Question: There are four different models that are to appear in a fashion show. Two are from Europe, two are from South America, and two are from North America. If all the models from the same continent are to stand next to each other, how many ways can the fashion show organizer arrange the models?
Choices:
192
64
24
8
Answer: A
Question: 30 men can do a work in 40 days. When should 16 men leave the work so that the entire work is completed in 40 days after they leave the work?
Choices:
14 days
55 days
44 days
22 days
Answer: A
Question: 14 men can complete a piece of work in 30 days. In how many days can 24 men complete that piece of work?
Choices:
17 1/2 days
22 1/2 days
29 days
20 days
Answer: A
Question: The radius of a circular wheel is 1.75 m, how many revolutions will it make in traveling 1 km?
Choices:
1000
2677
2899
2771
Answer: A
Question: A manufacturer produces a certain men's athletic shoe in integer sizes from 8 to 17. For this particular shoe, each unit increase in size corresponds to a 1/4-inch increase in the length of the shoe. If the largest size of this shoe is 30% longer than the smallest size, how long, in inches, is the shoe in size 15?
Choices:
9.25
13.25
15.75
17.25
Answer: A
Question: In a room filled with 7 people, 4 people have exactly 1 sibling in the room and 3 people have exactly 3 siblings in the room. If two individuals are selected from the room at random, what is the probability that those two individuals are NOT siblings?
Choices:
3/7
4/7
5/7
32/35
Answer: D
Question: Joe is painting a rectangular room whose dimensions are given by a, b and c meters. Joe takes 4 hours to paint a wall with dimensions a and c. He takes 2 hours to paint a wall with dimensions b and c and 6 hours to paint the ceiling with dimensions a and b. If Joe works at a constant rate and a = 3, then what is the volume of the room?
Choices:
4.5 cubic meters
3.0 cubic meters
3.6 cubic meters
It can’t be determined.
Answer: A
Question: If ABC us a three digit number such that no one number is similar to other than how many possible values of ( a + 4b + c ) will be divisible by 40 :
Choices:
16
15
12
11
Answer: B
Question: The sector of a circle has radius of 24 cm and central angle 135o. Find its perimeter?
Choices:
11.5 cm
104.6 cm
92.5 cm
99.5 cm
Answer: B
Question: If X=27^324 and Y=3^134, what is the units digit of X/Y?
Choices:
3
5
7
9
Answer: D
Question: Find the number of square tiles to cover the floor of a room measuring 4.5 m * 10 m leaving 0.60 m space around the room. A side of square tile is given to be 11 cms?
Choices:
4764
2772
4000
2400
Answer: D
Question: Find the HCF of
23,46,827
Choices:
227
23
827
None of these
Answer: A
Question: A certain school principal must choose 6 students to attend a field trip out of a group of 10 students. In addition, out of the 6 chosen students, the principal must select a note-taker and a treasurer. How many different ways are there for the principal to select the 6 students and then select the treasurer and the note-taker?
Choices:
2,520
5,040
6,300
10,080
Answer: C
Question: City A to city B, Andrew drove for 1hr at 42 mph and for 3 hours at 60 mph. What was the average speed for the whole trip?
Choices:
55.5
61
61.5
62.5
Answer: A
Question: A password of a computer consists of five digits 1 through 6. What is the probability that all digits are divisible by 3 ?
Choices:
1/6
1/27
1/243
1/486
Answer: C
Question: 2/x + 3x = 3(x+2)
Choices:
1/3
-1/9
1/9
9
Answer: A
Question: The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
Choices:
32 Years
37 Years
49 Years
50 Years
Answer: C
Question: A bag contains 10 wool scarves, exactly one of which is red and exactly one of which is green. If Deborah reaches in and draws three scarves, simultaneously and at random, what is the probability that she selects the red scarf but not the green scarf?
Choices:
5/23
7/30
9/37
11/48
Answer: B
Question: The water level in a rectangular swimming pool measuring 60 feet by 20 feet is to be lowered by 6 inches. How many gallons of water must be removed? (1 cu ft = 7.5 gallons)
Choices:
250
4500
1200
5625
Answer: B
Question: On dividing a certain number by 342, we get 47 as remainder. if same number is divided by 18 . what will be the remainder?
Choices:
7*9k+56
8*4k+56
18*19K+47
19*6k+9
Answer: C
Question: What is the probability that Carol and Bernie will get selected for a job they both applied for in a company, given that their chances of getting selected is 4/5 and 3/5 respectively?
Choices:
11/24
12/25
12/25
12/23
Answer: C
Question: A train which has 390 m long, is running 45 kmph. In what time will it cross a person moving at 9 kmph in same direction ?
Choices:
39 sec
36 sec
29 sec
30 sec
Answer: A
Question: one gear of pulley rotates at a speed of 3 rev/sec another gear roates at 5 rev/sec. if both start together after how many seconds will they be together again
Choices:
5sec
15 sec
20 sec
25 sec
Answer: B
Question: A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 7 m, the volume of the box (in m3) is:
Choices:
5236
6420
8960
7960
Answer: A
Question: A king has 1000 bottles of wine,A queen wants to kill the king and sends a servant to poison the wine .Fortunately the king's guard's catch d servant after he has only poisoned one bottle and the guard don't know which bottle is poisoned .Furthermore it takes one month to have an effect,and there is an anniversary party coming up in 5 weeks time!the king decides he will get some of the prisoners in his vast dungeons to drink the wine.how many minimum prisoners does it required to sample the wine to find out the poisoned bottle so that the guests will still be able to drink the rest of the wine at his anniversary party in 5 weeks time?
Choices:
499
500
999
10
Answer: D
Question: A train running at the speed of 90 km/hr crosses a pole in 6 seconds. What is the length of the train?
Choices:
205
502
225
235
Answer: C
Question: A train 180 m long is running with a speed of 55 km/hr. In what time will it pass a man who is running at 7km/hr in the direction opposite to that in which the train is going?
Choices:
10.45
7
8
9.5
Answer: A
Question: The greatest number by which the product of three consecutive multiples of 2 is always
Choices:
48
162
243
None of these
Answer: A
Question: Danny and Steve are running towards each other, each one from his own house. Danny can reach Steve's house in 25 minutes of running, which is half the time it takes Steve to reach Danny's house. If the two started to run at the same time, how much time longer will it take Steve to reach the halfway point between their houses than Danny to reach the halfway point between their houses?
Choices:
12.5 minutes.
35 minutes.
35 minutes
75 minutes
Answer: A
Question: 100 is increased by 50%. Find the final number.
Choices:
110
150
155
160
Answer: B
Question: Of the four numbers, whose average is 50, the first is one-fourth of the sum of the last three. The first number is ?
Choices:
29
11
48
40
Answer: D
Question: While working alone at their constant rates, computer X can process 240 files in 12 hours, and computer Y can process 240 files in 6 hours. If all files processed by these computers are the same size, how many hours would it take the two computers, working at the same time at their respective constant rates, to process a total of 240 files?
Choices:
3.5
4
4.5
5
Answer: B
Question: What is the smallest integer that satisfies the inequality (x - 3)/ (x^2 - 8x - 20) > 0> 0?
Choices:
10
3
-1
0
Answer: C
Question: If r = 199,999 and s = 991,999, which of the following is the units digit of r^4 + s^4?
Choices:
1
2
8
9
Answer: B
Question: What is the area of a square with perimeter 4P ?
Choices:
p^2
P^2/4
P/16
P^2/16
Answer: A
Question: Rahul and Bharti are partners in a business. Rahul contributes 1/4th capital for 15 months and Bharti received 2/3 of profit. For how long Bharti money was used.
Choices:
10 months
11 months
17 months
None of these
Answer: A
Question: By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent?
Choices:
30%
40%
42 6/7%
None of these
Answer: C