antoine-444/aqua_rat_dataset huggingface dataset:
Question: Tom, who has 50 math questions, will get 7 points per question if he chooses a correct answer. If he chooses a wrong answer to a question or skips one, he will lose 3 points per question. Then, which of the following can be the score if he solves all the 50 questions?
Choices:
190
194
195
196
Answer: A
Question: A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 7 days. B can do the work alone in?
Choices:
12
11
42
114
Answer: C
Question: In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
2.5
2.9
2.3
2.1
Answer: A
Question: A present value of a machine is $128000. Its value depletiation rate is 25% per annum then find the machine value after 4 years?
Choices:
B)$48000
C)$36520
D)$32450
E)$40500
Answer: D
Question: Three fourth of the roads from A to B are at least 5 miles long, and 1/4 of the roads from B to C are at least 5 miles long. If you randomly pick a road from A to B and then randomly pick a road from B to C, what is the probability that at least one of the roads you pick is at least 5 miles long?
Choices:
1/4
2/3
13/16
13/61
Answer: D
Question: Charlie, a painter, has 9 jars of paint: 4 are violet, 2 are yellow, and the rest are brown. Charlie will combine 3 jars of paint into a new container to make a new colour, which he will name according to the following conditions:
1) C1, if the paint contains 2 jars of brown paint and no violet paint
2) C2, if the paint contains 3 jars of brown paint.
3) J1, if the paint contains at least 2 jars of violet paint
4) J2, if the paint contains exactly 1 jar of violet paint
What is the probability that the new colour will be a shade of J (J1 or J2)?
Choices:
37/42
37/21
74/21
42/37
Answer: A
Question: The number obtained by interchanging the two digits of a two-digit number is less than the original number by 45. If the sum of the two digits of the number so obtained is 13, then what is the original number?
Choices:
94
77
266
12
Answer: A
Question: Laxmi and Prasanna set on a journey. Laxmi moves northwards at a speed of 25kmph and Prasanna moves southward at a speed of 35 kmph. How far will be Prasanna from Laxmi after 60 minutes ?
Choices:
50
60
27
18
Answer: B
Question: A boatman goes 4 km against the current of the stream in 4 hour and goes 1 km along the current in 20 minutes. How long will it take to go 6 km in stationary water?
Choices:
1 hours
3 hours
2 hours
4 hours
Answer: B
Question: Vijay bought 160 shirts at the rate of Rs. 210 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 20%?
Choices:
s.288
s.485
s.267
s.282
Answer: C
Question: If 0.2 of a number is equal to 0.08 of another number, the ratio of the numbers i
Choices:
2 : 5
3 : 20
20 : 3
None
Answer: A
Question: If 3 persons can do 3 times of a particular work in 3 days, then, 7 persons can do 7 times of that work in
Choices:
3 days
4 1/5 days
5 days
7 days
Answer: A
Question: Which number can we add to 859722 to get a number exactly divisible by 456?
Choices:
294
318
338
362
Answer: A
Question: What will be 90 percent of a number whose 200 percent is 90 ?
Choices:
72
40.5
None of these
Cannot be determined
Answer: B
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 11 units?
Choices:
170 sq.units
154 sq.units
940 sq.units
149 sq.units
Answer: B
Question: A set of numbers has the property that for any number t in the set, 3t + 1 is in the set. If -1 is in the set, which of the following must also be in the set?
I. -3
II. 10
III. 5
Choices:
II only
I and II only
II and III only
I, II, and III
Answer: A
Question: Anil and Suresh are working on a special assignment. Anil needs 6 hours to type 32 pages on a computer and Suresh needs 5 hours to type 40 pages. If both of them work together on two different computers, how much time is needed to type an assignment of 120 pages?
Choices:
8 hours
9 hours
7 hours
6 hours
Answer: B
Question: Seed mixture X is 40 percent ryegrass and 60 percent bluegrass by weight; seed mixture Y is 25 percent ryegrass and 75 percent fescue. If a mixture of X and Y contains 27 percent ryegrass, what percent of the weight of this mixture is X ?
Choices:
13.33 %
40%
50%
66.66 %
Answer: A
Question: Calculate the number of revolutions a circular wheel of 4.6 m radius will make to travel a distance of 1 km?
Choices:
28914.2
21914.2
28944.2
12914.2
Answer: A
Question: In a certain lottery, the probability that a number between 1 and 15, inclusive, is drawn is 1/3 . If the probability that a number 1 or larger is drawn is 2/3 , what is the probability that a number less than or equal to 15 is drawn?
Choices:
2/3
1/4
1/6
2/5
Answer: A
Question: What is the Area? If The volume of a Square is 22cm.
Choices:
Not sufficient data
5
11
7
Answer: A
Question: 7 does not occur in 1000. So we have to count the number of times it appears between 1 and 999. Any number between 1 and 999 can be expressed in the form of xyz where 0 < x, y, z < 9.
Choices:
300
400
500
470
Answer: A
Question: what comes next?
7, -35, -34, -3, 15, 16, 4
Choices:
-20
5
21
33
Answer: A
Question: The sum of two numbers is 84, and one of them is 12 more than the other. What are the two numbers?
Choices:
36, 48
32, 48
48, 32
32, 42
Answer: A
Question: The area of a square is equal to five times the area of a rectangle of dimensions 125 cm * 64 cm. What is the perimeter of the square?
Choices:
800 cm
126 cm
269 cm
172 cm
Answer: A
Question: A total of 22 men and 28 women were at a party, and the average (arithmetic mean) age of all of the adults at the party was exactly 35 years. If the average age of the men was exactly 38 years, which of the following was closest to the average age, in years, of the women?
Choices:
31.5
32.6
32.5
33
Answer: B
Question: A natural number has 43 divisors (excluding 1 and itself) . What is the maximum number of distinct prime factors it can have ?
Choices:
2
4
5
None of these
Answer: A
Question: The cost of 16 packets of sugar, each weighing 900 grams is Rs. 28. What will be the cost of 27 packets, if each packet weighs 1 kg?
Choices:
Rs 52.50
Rs 58.50
Rs 64.75
None of these
Answer: A
Question: The least number which should be added to 1800 so that the sum is exactly divisible by 5,6,4 and 3 is :
Choices:
13
23
30
43
Answer: C
Question: A man sells a book at 5% profit. If he had bought it at 5% less and sold it for Re 1 less, he would have gained 10%. The cost price of the book is
Choices:
Rs 200
Rs 250
Rs 240
None of these
Answer: A
Question: If x, y, and g are positive numbers such that 10*x/(x+y)+ 20*y/(x+y)=g and if x is less than y, which of the following could be the value of g?
Choices:
12
15
18
30
Answer: C
Question: Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 7. If one of the four staff members worked on the project for 30 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project?
Choices:
120
160
200
300
Answer: B
Question: An alloy is to contain Steel and Iron in the ratio 5:2. The Iron required to be melted with 35kg of Steel is?
Choices:
14kg
15kg
20kg
18kg
Answer: A
Question: A pharmaceutical company received $2 million in royalties on the first $20 million in sales of and then $9 million in royalties on the next $108 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?
Choices:
15%
45%
52%
56%
Answer: A
Question: If 5 spiders can catch five flies in five minutes, how many flies can hundred spiders catch in 100 minutes?
Choices:
1000
500
2000
None
Answer: C
Question: A train 125 m long passes a man, running at 7 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Choices:
52 km/hr
76 km/hr
50 km/hr
15 km/hr
Answer: A
Question: A project scheduled to be carried out over a single fiscal year has a budget of $18,000, divided into 12 equal monthly allocations. At the end of the fourth month of that fiscal year, the total amount actually spent on the project was $6500. By how much was the project over its budget?
Choices:
$500
$1,050
$1,380
$1,430
Answer: A
Question: 2 pipes can separately fill a tank in 20hrs and 30hrs respectively. Both the pipes are opened to fillthe tank, a leak develops in the tank through which one-third of water supplied by both the pipes goes out. What is the total time taken to fill the tank?
Choices:
12 hrs
16 hrs
18 hrs
20 hrs
Answer: B
Question: A millionaire bought a job lot of hats 1/4 of which were brown. The millionaire sold 2/3 of the hats including 4/5 of the brown hats. What fraction of the unsold hats were brown.
Choices:
1/15
3/20
3/5
3/4
Answer: B
Question: A train running at the speed of 36 km/hr crosses a pole in 9 seconds. What is the length of the train?
Choices:
278
90
150
287
Answer: B
Question: In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 8:6:4. If there are in all Rs.114, the number of 25 paisa coins is?
Choices:
62
72
86
74
Answer: B
Question: At a tanning salon, customers are charged $10 for their first visit in a calendar month and $4 for each visit after that in the same calendar month. In the last calendar month, 100 customers visited the salon, of which 30 made a second visit, and 10 made a third visit. All other customers made only one visit. If those visits were the only source of revenue for the salon, what was the revenue for the last calendar month at the salon?
Choices:
$1160
$1300
$1340
$1880
Answer: A
Question: For every X, the action [X] is defined: [X] is the greatest integer less than or equal to X. What is the value of [6.5] x [2/3] + [2] x 7.2 + [8.4] - 9.8?
Choices:
12.6.
15.8.
16.2.
16.4.
Answer: A
Question: The greatest number which on dividing 1657 and 2037 leaves remainders 9 and 5 respectively, is:
Choices:
16
235
305
505
Answer: A
Question: 30% of employees are women with fair hair. 40% of fair-haired employees are women. What percent of employees have fair hair?
Choices:
30
50
55
75
Answer: D
Question: In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 5:6:2. If there are in all Rs.33, the number of 25 paisa coins is?
Choices:
31
32
34
33
Answer: D
Question: 50% of a number is 10 less than 3/5th of that number. What is the number?
Choices:
100
150
200
75
Answer: A
Question: Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is ?
Choices:
5/9
5/3
5/2
5/1
Answer: A
Question: Two trains are moving in the same direction at 108 kmph and 54 kmph. The faster train crosses a man in the slower train in 24 seconds. Find the length of the faster train?
Choices:
330
340
350
360
Answer: D
Question: If 16% of 40% of a number is 5, then the number is
Choices:
225
78.125
320
None of these
Answer: B
Question: If A and B get profits of Rs.4,000 and Rs.2,000 respectively at the end of year then ratio of their investments are
Choices:
1:4
3:2
2:3
2:1
Answer: D
Question: The true discount on a bill due 9 months hence at 16% per annum is Rs. 189.The amount of the bill is
Choices:
Rs. 1764
Rs. 1575
Rs. 2268
None of these
Answer: A
Question: Two numbers are 30% and 37% are less than a third number .How much percent is the second number less than the first?
Choices:
80%
10%
90%
15%
Answer: B
Question: Find the least value of 'a' so that 365a24 is divisible by 8.
Choices:
8
0
2
1
Answer: B
Question: If the radius of a circle that centers at the origin is 5, how many M points on the circle have integer coordinates?
Choices:
8
12
15
20
Answer: B
Question: in a certain flower shop, which stocks four types of flowers, there are 1/3 as many violets as carnations, and 1/3 as many tulips as violets. If there are equal numbers of roses and tulips, what percent of the flowers in the shop are carnations?
Choices:
64.28
65
66
68
Answer: A
Question: The speed of a train is 90 kmph. What is the distance covered by it in 30 minutes?
Choices:
66
77
52
45
Answer: D
Question: If ‘+’ means ‘×’, ‘-‘ means ‘+’, ‘×’ means ‘÷’ and ‘÷’ means ‘-‘ then find the value of;
5 – 9 + 8 × 3 ÷ 20 =
Choices:
9
12
-2
8
Answer: A
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:
7.20 a.m
2.15p.m
3.45p.m
6.10p.m
Answer: B
Question: The price of an article has been reduced by 25%. In order to restore the original price the new price must be increased by?
Choices:
33 1/3%
33 6/3%
33 8/3%
31 1/3%
Answer: A
Question: The expression rs+r is odd when the r and s are integers. Which of the following expressions must be even?
Choices:
s
r + s
rs - r
r + s^2
Answer: A
Question: The product of a and b is equal to 10 more than twice the sum of a and b. If b = 9, what is the value of b - a?
Choices:
5
7
24
35
Answer: A
Question: Mike drives his new Corvette from San Francisco to Las Vegas, a journey of 640 miles. He drives the first half of the trip at an average rate of 80 miles per hour, but has to slow down for the second half of his journey. If the second half of the trip takes him 200 percent longer than the first half, what is his average rate P in miles per hour for the entire trip?
Choices:
P=30.0
P=40.0
P=53.3
P=60.0
Answer: B
Question: How many different ways can you select a pilot and a co pilot if you have 45 people to choose from?
Choices:
1980
3984
4950
9900
Answer: A
Question: In 2008, the profits of Company N were 10 percent of revenues. In 2009, the revenues of Company N fell by 20 percent, but profits were 20 percent of revenues. The profits in 2009 were what percent of the profits in 2008?
Choices:
105%
120%
124.2%
160%
Answer: D
Question: Three sets of 40, 50 and 60 students appeared for an examination and the pass percentage was 100, 90 and 80 respectively. the pass percentage of the whole set is
Choices:
84.33
88.66
84.66
None of these
Answer: B
Question: Arabica coffee costs $0.3 per ounce while Robusta coffee costs $0.2 per ounce. If the blend of Arabica and Robusta costs $0.22per ounce, what is the share of Arabica in this blend?
Choices:
20%
30%
33%
40%
Answer: A
Question: If N = 2^0.25 and N^b = 16, b must equal
Choices:
3/5
4
16
80/3
Answer: C
Question: If 7 is added to four times a number and this sum is multiplied by 5, the result is the same as if the number is multiplied by 6 and 7 is added to the product. What is the number?
Choices:
-3
-5
-2
11
Answer: C
Question: Two pipes can fill a tank in 30 minutes and 20 minutes. An outlet pipe can empty the tank in 15 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
Choices:
54
60
66
72
Answer: B
Question: Three numbers are in the ratio 1 : 2 : 3 and their H.C.F is 12. The numbers are
Choices:
5, 10,15
10, 20, 30
12, 24, 36
None
Answer: C
Question: Katy worked for h hours each day for d consecutive days. If she earns $3.5 per hour, what is the total amount she earned?
Choices:
3.50 + d + h
3.50 + dh
3.50h + d
3.50dh
Answer: D
Question: 3^3+3^3+3^3=?
Choices:
b) 3^4
c) 3^5
d) 3^6
e) 3^15
Answer: A
Question: Jim’s Taxi Service charges an initial fee of $2.25 at the beginning of a trip and an additional charge of $0.15 for each 2/5 of a mile traveled. What is the total charge for a trip of 3.6 miles?
Choices:
$4.45
$3.60
$5.05
$5.40
Answer: B
Question: if lox x[9/16] = 1/2 then the value of x
Choices:
256/81
-3/4
3/4
5/2
Answer: A
Question: if 36% of a number is 72, what is the number?
Choices:
200
250
300
350
Answer: A
Question: If the cost price is 92% of the selling price, then what is the profit percent?
Choices:
9%
13%
21%
19%
Answer: A
Question: A father is now three times as old as his son. Nine years back, he was four times as old as his son. The age of the son (in years) is
Choices:
B)15
C)18
D)27
E)22
Answer: C
Question: In a certain village, 200 litres of water are required per household per month. At this rate, if there are 10 households in the village, how long (in months) will 2000 litres of water last?
Choices:
1
2
200
2.5
Answer: A
Question: A train is 360 meter long is running at a speed of 50 km/hour. In what time will it pass a bridge of 140 meter length?
Choices:
69
36
72
21
Answer: B
Question: The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number?
Choices:
270
295
360
260
Answer: A
Question: Miguel is mixing up a salad dressing. Regardless of the number of servings, the recipe requires that 5/8 of the finished dressing mix be olive oil, 1/4 vinegar, and the remainder an even mixture of salt, pepper and sugar. If Miguel accidentally doubles the vinegar and forgets the sugar altogether, what proportion of the botched dressing will be olive oil?
Choices:
15/29
5/16
1/2
13/27
Answer: A
Question: The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 25%, then the cost price of the article is:
Choices:
277
222
448
111
Answer: C
Question: The length and breadth of a rectangular courtyard is 75 m and 32 m. Find the cost of leveling it at the rate of $3 per m2. Also, find the distance covered by a boy to take 4 rounds of the courtyard.
Choices:
3455
8600
7000
7200
Answer: D
Question: The numerator of a certain fraction is 8 less than the denominator. If 3 is added to the numerator and 3 is subtracted from the denominator, the fraction becomes 3/4. Find the original fraction?
Choices:
6/8
6/7
3/11
2/7
Answer: C
Question: In a race of 200 m, A can beat B by 32 m and C by 24 m. In a race of 440 m, C will beat B by ?
Choices:
75 m
85 m
20 m
15 m
Answer: C
Question: If 6 men can colour 48 m long cloth in 2 days, then 2 men can colour 36 m long cloth in
Choices:
2.1 days
3 days
4.5 days
5 days
Answer: C
Question: Two stations A and B are 110 km apart on a straight line. One train starts from A at 3 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
Choices:
10 a.m
12 a.m
6 a.m
05 a.m
Answer: C
Question: The compound ratio of 5:6, 3:2 and 4:5?
Choices:
1:8
1:2
1:1
1:9
Answer: C
Question: One quantity of wheat at Rs 9.30 per Kg is mixed with another quality at a certain rate in the ratio 8:7. If the mixture so formed be worth Rs 10 per Kg, what is the rate per Kg of the second quality of wheat?
Choices:
Rs 10.80
Rs 10.80
Rs 47.66
None of these
Answer: A
Question: A line that passes through (–1, –4) and (2, k) has a slope = k. What is the value of k?
Choices:
1
4/3
2
7/2
Answer: C
Question: How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
30
66
44
31
Answer: A
Question: A clothing store prices jeans at 20% above the wholesale price of $40 and shorts at 10% above the wholesale price of $25. An employee uses their employee discount of 10% to buy 2 pairs of shorts and 1 pair of jeans. How much does that employee pay?
Choices:
$92.70
$95.70
$97.25
$98
Answer: A
Question: Insert the missing number. 34, 7, 37, 14, 40, 28, 43, (...)
Choices:
56
54
50
60
Answer: A
Question: Population of a city in 2004 was 1000000. If in 2005 there is an increment of 20% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city at the end of the year 2007
Choices:
977522
984424
997454
1131000
Answer: D
Question: A rectangle having length 105 cm and width 40 cm. If the length of the rectangle is increased by twenty five percent then how much percent the breadth should be decreased so as to maintain the same area.
Choices:
19.23%
40%
75%
None of these
Answer: A
Question: If 6th March, 2001 is Sunday, what was the day of the week on 6th March, 2000?
Choices:
Saturday
Tuesday
Wednesday
None of these
Answer: A
Question: A third standard teacher gave a simple multiplication exercise to the kids. But one kid reversed the digits of both the numbers and carried out the multiplication and found that the product was exactly the same as the one expected by the teacher. Only one of the following pairs of numbers will fit in the description of the exercise. Which one is that ?
Choices:
13, 62
19, 33
42, 28
None
Answer: A
Question: Find k if 64 / k = 8.
Choices:
7
8
4
3
Answer: B
Question: A “Sophie Germain” prime is any positive prime number p for which 2p + 1 is also prime. The product of all the possible units digits of Sophie Germain primes greater than 6 is
Choices:
7
21
189
198
Answer: C
Question: Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Choices:
1345
1450
1550
1635
Answer: D
Question: xy+yz=63
xz+yz=23
find x+y+z ?
Choices:
24
25
26
27
Answer: A
Question: A train moves fast a telegraph post and a bridge 240 m long in 8 sec and 20 sec respectively. What is the speed of the train?
Choices:
39
79
72
71
Answer: C
Question: Two brother X and Y appeared for an exam. The probability of selection of X is 1/5 and that of B is 2/3. Find the probability that both of them are selected.
Choices:
2/20
2/18
2/29
2/15
Answer: D
Question: Last summer, Roger worked x days at 2 hours/day at a job, and he was paid at a rate of r dollars per hour. For the whole summer, he earned $1000. This summer, he will work at another job that offers the same pay rate, r dollars per hour. This summer he will work H days at 5 hours/day, so that he will earn $4000 for the entire summer. In terms of x, which of the following equals H?
Choices:
2x/3
2x
4x/3
8x/5
Answer: D
Question: Two trains of equal lengths take 8 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
Choices:
12
77
10
21
Answer: C
Question: Complete the series
13, 9, 5, 1, -3, -7, -11, -15, ...
Choices:
0
3
-2
-19
Answer: D
Question: The operation T is defined by x T y=1/x+1/y for all nonzero numbers x and y. If z is a number greater than 1, which of the following must be true.
I. x T (-z)=0
II. z T z/z-1=z
III. 2/z T 2/z=1
Choices:
b.) I and II only
c) I and III only
d) II and III only
e) None of these
Answer: D
Question: A courtyard is 25 meter long and 18 meter board is to be paved with bricks of dimensions 20 cm by 10 cm. The total number of bricks required is?
Choices:
27778
20000
22500
17799
Answer: C
Question: Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
Choices:
5 min
10 min
14 min
15 min
Answer: B
Question: A grocer has a sale of Rs. 5420, Rs. 5660, Rs. 6200, Rs. 6350 and Rs. 6500 for 5 consecutive months. Find the sale he should have in the sixth month, so that he gets an average sale of Rs. 6000?
Choices:
Rs. 5870
Rs. 6020
Rs. 6850
None of these
Answer: A
Question: 4,18,100,294,___
Choices:
1100
1210
1452
1552
Answer: B
Question: The sum of the numbers is 220. If the first number be twice the second and third number be one-third of the first, then the second number is:
Choices:
54
72
60
27
Answer: C
Question: A and B started a business investing Rs. 80,000 and Rs 20,000 respectively. In what ratio the profit earned after 2 years be divided between A and B respectively?
Choices:
4:1
18:20
18:4
17:4
Answer: A
Question: 60 percent of movie theatres in Town X have 3 screens or less. 20% of those theatres sell an average of more than $300 worth of popcorn per showing. 56 percent of all the movie theatres in Town X sell $300 or less of popcorn per showing. What percent of all the stores on the street have 4 or more screens and sell an average of more than $300 worth of popcorn per day?
Choices:
18
32
40
44
Answer: B
Question: When n is divided by 24, the remainder is 4. What is the remainder when 4n is divided by 8?
Choices:
4
5
0
7
Answer: C
Question: 14, 28, 20, 40, 32, 64, ...?
Choices:
25
56
21
36
Answer: B
Question: A number 15B is divisible by 6. Which of these will be true about the positive integer B?
Choices:
B will be even
B will be divisible by 6
Both a & b
A, B and C
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:
1.6
1.2
1.5
1.1
Answer: C
Question: If 4 Men or 6 Women take 4 days to complete some work, how many days will 8 Men and 4 Women working together take to complete the work?
Can anyone explain please?
Choices:
2. 4/9 Days
3. 9/4 days
4.5/2 days
5.3 days
Answer: A
Question: Find the compound interest on Rs.16,000 at 20% per annum for 9 months, compounded quartely.
Choices:
Rs.2522
Rs.2572
Rs.2592
None
Answer: A
Question: A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?
Choices:
1
9
7
5
Answer: A
Question: Of the 600 residents of Clermontville, 35% watch the television show Island Survival, 40% watch Lovelost Lawyers and 50% watch Medical Emergency. If all residents watch at least one of these three shows and 18% watch exactly 2 of these shows, then how many Clermontville residents X watch all of the shows?
Choices:
108
42
21
-21
Answer: C
Question: A man said to his son, "I was two-third of your present age when you were born". If the present age of the man is 48 years, find the present age of the son?
Choices:
28 years
29.3 years
28.8 years
30 years
Answer: C
Question: At a meeting of the 6 Joint Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the 6 Chiefs of Staff be seated around a circular table?
Choices:
480
4040
2520
5040
Answer: B
Question: X and Y are two towns. Ganesh covers the distance from X to Y at an average speed of 43 Km/hr. However, he covers the distance from Y to X at an average speed of 35 Km/hr. His average speed during the whole journey in km/hr. is :
Choices:
43
40
38.6
29
Answer: C
Question: A department store receives a shipment of 1,000 shirts, for which it pays Rs. 9,000. The store sells the shirts at a price 80 percent above cost for one month, after which it reduces the price of the shirts to 20 percent above cost. The store sells 75 percent of the shirts during the first month and 50 percent of the remaining shirts afterwards. How much gross income did sales of the shirts generate?
Choices:
11500
12500
13500
14500
Answer: C
Question: A box contains 8 pairs of shoes (16 shoes in total). If two shoes are selected at random, what it is the probability that they are matching shoes?
Choices:
1/20
1/19
1/10
1/15
Answer: D
Question: A team of five basketball players has an average height of 280 cm. two players whose average height is 190 cm, left the team and two new others whose average height is 204 cm, joined. Calculate the new average height of the players(in cm) is?
Choices:
417.6 cm
214.6 cm
217.6 cm
117.6 cm
Answer: C
Question: Local kennel has cats and dogs in the ratio of 6:12. If there are 24 fewer cats than dogs, how many dogs are in the kennel?
Choices:
48
52
54
56
Answer: A
Question: Of the 800 employees of Company X, 70 percent have been with the company for at least ten years. If y of theselong-termmembers were to retire and no other employee changes were to occur, what value of y would reduce the percent oflong-termemployees in the company to 50 percent ?
Choices:
320
112
80
56
Answer: A
Question: Find a sum for first 9 prime number'ss?
Choices:
128
130
100
120
Answer: C
Question: By selling a 50meters cloth one gain the selling price of 20meters. Find the gain percent?
Choices:
100%
75%
25%
90%
Answer: A
Question: Patrick purchased 70 pencils and sold them at a loss equal to the selling price of 20 pencils. The cost of 70 pencils is how many times the selling price of 70 pencils?
Choices:
0.8
1
1.28
1.35
Answer: C
Question: The measure of the side of a square is multiplied by 6. If x represents the perimeter of the original square, what is the value of the new perimeter?
Choices:
4x
6x
12x
27x
Answer: B
Question: In a river flowing at 2 km/hr, a boat travels 64 km upstream and then returns downstream to the starting point. If its speed in still water be 6 km/hr, find the total journey time.
Choices:
12 hours
14 hours
24 hours
None of these
Answer: C
Question: This topic is locked. If you want to discuss this question please re-post it in the respective forum.
If y ≠ 3 and 3q/y is a prime integer greater than 2, which of the following must be true?
I. q = y
II. y = 1
III. q and y are prime integers.
Choices:
None
II only
III only
I and III
Answer: A
Question: In the xy-plane, the point (-2, -1) is the center of a circle. The point (1, -1) lies inside the circle and the point (-2, 4) lies outside the circle. If the radius r of the circle is an integer, then r =
Choices:
5
4
3
2
Answer: B
Question: Pablo plays 3 rounds of a game, in which his chances of winning each round are 1/3 ,1/6 , and 1/n, respectively. If n ≠ 0, what is the probability that Pablo wins the first two rounds, but loses the third?
Choices:
(n-1)/18n
1/2n
(n+2)/2n
(3n-2)/2n
Answer: A
Question: Arun and Varun started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, Akhil joined them with Rs. 20,000. What will be Varun's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business ?
Choices:
7500
7512
2988
7112
Answer: A
Question: he ratio between the sale price and the cost price of an article is 3:1. What is the ratio between the profit and the cost price of that article?
Choices:
2:1
2:4
2:1
2:5
Answer: A
Question: Boy sells a book for Rs. 630 he gets a loss of 10 %, To gain 10%, what should be the SP?
Choices:
450
550
770
660
Answer: C
Question: What is the difference between the place values of two 1's in the numeral 135.21
Choices:
100.2
134
99.99
99.9
Answer: C
Question: A company, Chauncy Co., has an annual travel budget of $57,000. The accounting department estimates that transportation expenses will increase 5 percent in the coming year, and nontransportation travel expenses will increase by 15 percent in the coming year. Last year, Chauncy Co. spent $19,500 on transportation-related expenses, and $35,000 on nontransportation travel expenses. If the annual travel budget does not increase this year, and if the accounting department’s estimates are correct, how far over the annual travel budget will expenses be this year?
Choices:
$3,725
$4,225
$5,725
$60,725
Answer: A
Question: At what time between 2 and 3 o'clock will the hands of a clock be together?
Choices:
(10 + 10/11) min past 2
(10 + 10/11) min past 3
(10 + 10/11) min past 1
(10 + 10/11) min past 4
Answer: A
Question: A man misses a bus by 40 minutes if he travels at 30 kmph. If he travels at 40 kmph, then also he misses the bus by 10 minutes. What is the minimum speed required to catch the bus on time?
Choices:
45
77
44
17
Answer: A
Question: From 4 officers and 8 jawans in how many can 6 be chosen to include exactly one officer?
Choices:
164
259
311
224
Answer: D
Question: A taxi company costs $2.75 for the first quarter-mile and 12.5 cents for each additional quarter mile. What is the maximum distance you can travel with $6.50?
Choices:
5 3/4 miles
6 1/2 miles
7 3/4 miles
8 1/4 miles
Answer: C
Question: A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 660 m long?
Choices:
90
277
278
291
Answer: A
Question: Rajesh solved 80 per cent of the questions in an examination correctly. If out of 41 questions solved by Rajesh 37 questions are correct and of the remaining questions out of 8 questions 5 questions have been solved by Rajesh correctly then find the total number of questions asked in the examination.
Choices:
65
60
Cannot be determined
None of these
Answer: A
Question: On rainy mornings, Mo drinks exactly N cups of hot chocolate (assume that N is an integer). On mornings that are not rainy, Mo drinks exactly 5 cups of tea. Last week Mo drank a total of 22 cups of tea and hot chocolate together. If during that week Mo drank 8 more tea cups than hot chocolate cups, then how many rainy days were there last week?
Choices:
4
3
5
6
Answer: A
Question: Two trains of equal length 120 metres move in the same direction. The faster train completely
overtakes the slower one in 15 seconds. If the slower train were to move at half its speed, the over
taking would take in 10 seconds. At what speeds are the 2 trains moving ?
Choices:
32,16
30,18
28,14
None of these
Answer: A
Question: How many liters of water must be evaporated from 50 liters of a 4 percent sugar solution to get a 10 percent sugar solution?
Choices:
20
25
28
30
Answer: D
Question: Train A left Centerville Station, heading toward Dale City Station, at 3: 00 p.m. Train B left Dale City Station, heading toward Centerville Station, at 2: 20 p.m. on the same day. The trains rode on straight tracks that were parallel to each other. If Train A traveled at a constant speed of 30 miles per hour and Train B traveled at a constant speed of 10 miles per hour, and the distance between the Centerville Station and Dale City Station is 90 miles, when did the trains pass each other?
Choices:
5: 00 p.m.
5: 20 p.m.
4: 20 p.m.
6: 00 p.m.
Answer: C
Question: Mrs. Rodger got a weekly raise of $155. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
Choices:
$ 146
$ 147
$ 155
None
Answer: C
Question: A = {0, 1, -3, 6, -8, -10}
B = {-1, 2, -4, 7, 6, -9}
If a is a number that is randomly selected from Set A, and b is a number that is randomly selected from Set B, what is the probability that ab < 0?
Choices:
1/3
5/13
5/12
1/2
Answer: C
Question: How many integers between 0 and 1000 DO NOT contain the integer 1
Choices:
728
758
748
792
Answer: A
Question: It takes John 10 minutes to walk to the car park and 45 to drive to work. At what time should he get out of the house in order to get to work at 9:00 a.m.?
Choices:
7:35
7
5
6
Answer: A
Question: When 0.535353 ... is converted into a fraction, the result is
Choices:
20/9
53/99
53/100
None of these
Answer: B
Question: In expressing a length 81.489 km as nearly as possible with three significant digits, find the percentage error?
Choices:
0.156%
0.013%
0.048%
0.152%
Answer: B
Question: Find the odd man out 15, 25, 30, 34, 40, 65, 75.
Choices:
34
50
75
None of these.
Answer: A
Question: Find the circumference and area of radius 13 cm.
Choices:
531 cm²
354 cm²
584 cm²
594 cm²
Answer: A
Question: Find 40 % of 240
Choices:
96
86
74
110
Answer: A
Question: Car X began traveling at an average speed of 35 miles per hour. After 72 minutes, car Y began traveling at an average speed of 70 miles per hour. When both cars had traveled the same distance, both cars stopped. How many miles did car X travel from the time car Y began traveling until both cars stopped?
Choices:
20
40
42
68
Answer: C
Question: Krishan and Nandan jointly started a business. Krishan invested three times as Nandan did and invested his money for double time as compared to Nandan. Nandan earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was?
Choices:
27771
28867
28,000
267781
Answer: C
Question: On flipping 3 coins together what is the outcomes for at least three head and three tail?
Choices:
2/8
3/11
4/13
5/13
Answer: A
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.
Choices:
209
285
267
123
Answer: B
Question: John takes 6 hrs to print 32 pages. Peter takes 5hrs to print 40 pages. In how many hours they will print 110 pages together ?
Choices:
8 hours 15 minutes
9 hours
10 hours 15 minutes
11 hours 15 minutes
Answer: A
Question: Convert 40miles into yards?
Choices:
35200 yards
39520 yards
42560 yards
70400 yards
Answer: D
Question: A straight line in the xy-plane has a slope of 2 and a y-intercept of 2. On this line, what is the x-coordinate of the point whose y-coordinate is 540 ?
Choices:
498
676
269
1,002
Answer: C
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Choices:
557 metres
887 metres
150 metres
123 metres
Answer: C
Question: Which one of the following numbers is exactly divisible by 11?
Choices:
245642
315624
415624
415625
Answer: C
Question: A boy wants to go abroad by boat and return by flight. He has a choice of 5 different boat to go and 5 flight to return. In how many ways, can the boy perform his journey?
Choices:
25
30
40
50
Answer: A
Question: What is the average of first 21 multiples of 7 ?
Choices:
66
77
88
99
Answer: B
Question: The digit sum of the year 2007 is 2 + 0 + 0 + 7 = 9, which is a square number. How many years during the twenty-first century have a square digital sum?
Choices:
14
15
16
17
Answer: C
Question: If x=kc and y=kt,then y+x =?
Choices:
k(t+c)
c(k-t)
t(k-c)
k(1-t)
Answer: A
Question: Simplify: 997 x 997
Choices:
994009
999994
997009
999009
Answer: A
Question: If |r|=−r, which of the following must be true?
Choices:
r≤0
x2>x
x3<0
2x<x
Answer: A
Question: If the selling price of 80 articles is equal to the cost price of 40 articles, then the loss or gain percent is:
Choices:
35%
50%
55%
40%
Answer: B
Question: The measures of the 2 acute angles of a triangle are in the ratio of 1 : 8. What arethe measures of the 2 angles?
Choices:
80°
110°
120°
140°
Answer: A
Question: For all positive integers n and m, the function A(n) equals the following product:
(1 + 1/2 + 1/2^2)(1 + 1/3 + 3^2)(1 + 1/8 + 8^2)…(1 + 1/p_n + 1/p_n^2), where p_n is the nth smallest prime number, while B(m) equals the sum of the reciprocals of all the positive integers from 1 through m, inclusive. The largest reciprocal of an integer in the sum that B(25) represents that is NOT present in the distributed expansion of A(5) is
Choices:
1/3
1/6
1/7
1/8
Answer: A
Question: There is a sequence such that each term is positive integer and each digit of the terms in the sequence has 3 to be ordered, what is the value R of 100th term?
Choices:
192
232
252
342
Answer: D
Question: A mathematics teacher tabulated the marks secured by 35 students of 8th class. The average of their marks was 72. If the marks secured by Reema was written as 46 instead of 96 then find the correct average marks up to two decimal places.
Choices:
74.31
73.42
73.43
Cannot be determined
Answer: B
Question: If x is an even integer, then which of the following is a true statement?
Choices:
(x2 + 4) is an even integer
x is a Composite number
(x2 - 1) is an even integer
None of these
Answer: A
Question: Each of five different locks has a matching key. The keys are randomly reassigned to the locks. What is the probability that exactly two of the keys fit the locks to which they are reassigned?
Choices:
1/6
1/4
3/8
1/25
Answer: D
Question: If a man can cover 30 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Choices:
162 km
1767 km
1887 km
405 km
Answer: D
Question: A grocery store recently raised the price of flour by 25% over the original price. If the owner then had a sale advertising 10% off, what would be the sale price if the original price was $20?
Choices:
$21.50
$22.00
$22.50
$23.00
Answer: C
Question: Divide 71 into 2 parts such that 1 part exceeds the other by 8. What are the 2 no.'s in that part?
Choices:
28
31
35
46
Answer: B
Question: A train passes a man standing on the platform. If the train is 140 meters long and its speed is 72 kmph, how much time it took in doing so?
Choices:
6 Â½ sec
9 Â½ sec
7 sec
7 Â½ sec
Answer: C
Question: The average of five results is 45 and that of the first four is 45. The fifth result is?
Choices:
45
77
66
51
Answer: A
Question: Priya bought a fish last week. She was going to measure it but realized that her ruler was not long enough. She was able to measure the head and discovered that it was 12cm long; she then measured the tail and found that it was the length of the head plus one third of the length of the body. If the body was the length of the head plus the tail, what is the total length of the fish?
Choices:
45
72
63
36
Answer: B
Question: A certain sum of money doubles itself in 10 years in how much many years will it trible itself at the same rate?
Choices:
20 years
15 years
38 years
30 years
Answer: A
Question: A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 O’clock, the true time is –
Choices:
4 p.m.
58 7⁄11 minutes past 3
2 3⁄11 minutes past 4
None of these
Answer: A
Question: 15 beavers, working together in a constant pace, can build a dam in 4 hours. How many hours will it take 20 beavers that work at the same pace, to build the same dam?
Choices:
4.
5.
6
3.
Answer: D
Question: A boy and a girl appear for an interview against 2 vacant posts in an office. The probability of the boy's selection is 1/5 and that of the girl's selection is 1/3. What is the probability that only 1 of them is selected?
Choices:
2/5
3/5
4/7
5/9
Answer: A
Question: 5!/(5-3)!=?
Choices:
46
56
59
60
Answer: D
Question: A seven-digit phone number is divisible by 8. After adding the two digits of the area code the number is not divisible by 8, which of the following cannot be the area code?
Choices:
05.
08.
04.
02.
Answer: B
Question: A man has 'n' magical eggs whose average weight is 'k' gm. Each of the 'n' eggs produces 'n' eggs next day such that the average weight of 'n' eggs produced is same as that of the parental egg for each 'n' groups individually i.e. each egg produces 'n' eggs of next generation and average weight of all the 'n' eggs of next generation is same as the weight of the mother egg. This process is continued without any change in pattern. What is the total weight of all the eggs of rth generation, where the initial number of eggs with man are considered as the eggs of first generation.
Choices:
rnk
nkr
nrk
None of these
Answer: C
Question: How many integers k greater than 100 and less than 800 are there such that if the hundreds and the unit digits of k are reversed, the resulting integer is k + 99?
Choices:
60
70
80
90
Answer: A
Question: Average of five numbers is -10, and the sum of three of the numbers is 16, wat is the average of the other 2 numbers?
Choices:
-33
35
36
-35
Answer: A
Question: The average height of 35 boys in a class was calculated as 180cm. 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:
178.29 cm
118.29 cm
578.29 cm
173.29 cm
Answer: A
Question: Maria earned a profit of 30% on selling an article for Rs.6110. What was the cost price of the article?
Choices:
Rs.4080
Rs.5250
Rs.4700
None of these
Answer: C
Question: Because he’s taxed by his home planet, Mork pays a tax rate of 45% on his income, while Mindy pays a rate of only 15% on hers. If Mindy earned 4 times as much as Mork did, what was their combined tax rate?
Choices:
21%
23%
25%
27%
Answer: A
Question: The inner circumference of a circular race track, 14m wide is 440m. Find the radius of the outer circle.
Choices:
84
67
28
21
Answer: A
Question: Tom planted vegetables in a rectangular garden that was 28 feet long and 15 feet wide. He used
1/3 of the area for corn and 1/5 of it for peas. How many square feet are left for other vegetables?
Choices:
195 sq. ft.
197 sq. ft.
198 sq. ft.
199 sq. ft.
Answer: A
Question: A can do a piece of work in 4 hours . A and C together can do it in just 2 hours, while B and C together need 3 hours to finish the same work. B alone can complete the work in --- hours.
Choices:
12
14
16
18
Answer: A
Question: What is the probability that the sum of two dice will yield a 4, and then when both are thrown again, their sum will again yield a 4? assume that each die has 3 sides with faces numbered 1 to 3.
Choices:
1/36
1/9
1/6
1/3
Answer: B
Question: The price of a T.V. set worth Rs. 15000 is to be paid in 20 installments of Rs. 1500 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?
Choices:
28088
13500
19000
2799
Answer: B
Question: If green means red, red means yellow, yellow means blue, blue means orange and orange means green, what is the colour of clean sky ?
Choices:
Green
Yellow
Orange
Pink
Answer: B
Question: The vertex of a rectangle are (1, 0), (9, 0), (1, 6) and (9, 6) respectively. If line L passes through the origin and divided the rectangle into two identical quadrilaterals, what is the slope of line L?
Choices:
2
1/4
3/5
5/6
Answer: C
Question: If a, b, and c are consecutive odd positive integers and a < b < c, which of the following could be equal to c - b - a+2 ?
Choices:
3
-4
-1/2
-1/3
Answer: A
Question: There are 10 points in a plane out of which 4 are collinear. Find the number of triangles formed by the points as vertices.
Choices:
116
140
20
10
Answer: A
Question: Each book on a certain shelf is labeled by a single category. For every 2 history books, there are 7 fantasy books and for every 5 fantasy books, there are 8 reference books. If the proportion of history to reference books is doubled, while the proportion of fantasy to reference books is maintained, which of the following could be the number of history books if there are fewer than 60 fantasy books on the shelf after the changes?
Choices:
20
24
35
36
Answer: A
Question: A grocer purchased 80 kg of sugar at 13.50 per kg and mixed it with 120 kg sugar at 16 per kg. At what rate should he sell the mixture to gain 19%?
Choices:
17.85 per kg
16.5 per kg
16 per kg
None of these
Answer: A
Question: The arithmetic mean of the scores of a group of students in a test was 52. The brightest 20% of them secured a mean score of 80 and the dullest 25% a mean score of 31. The mean score of remaining 55% is?
Choices:
51.7
51.4
51.1
51.2
Answer: B
Question: An article is bought for Rs.600 and sold for Rs.500, find the loss percent?
Choices:
16 2/9%
16 5/3%
16 2/3%
16 3/3%
Answer: C
Question: In a certain game, you perform three tasks. You flip a quarter, and success would be tails. You roll a single die, and success would be a even number. You pick a card from a full playing-card deck, and success would be picking a ace card. If exactly one of these three tasks is successful, then you win the game. What is the probability of winning?
Choices:
6/13
25/52
11/13
23/52
Answer: B
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:
30 sec
40 sec
20 sec
50 sec
Answer: C
Question: If r and s are positive integers, and r2 + r/s is an odd integer, which of the following cannot be even?
Choices:
(r-1)(s+2)
r^(s+1) + s^r
D. r^3 +3
s^4 +4
Answer: C
Question: Shekar scored 76, 65, 82, 47 and 85 marks in Mathematics, Science, Social studies, English and Biology respectively. What are his average marks?
Choices:
71
75
85
90
Answer: A
Question: An assembly line produces 15 cogs per hour until an initial order of 60 cogs is completed. The speed of the assembly line is then immediately increased so that it can produce 60 cogs per hour until another 60 cogs are produced. What is the overall average output, in cogs per hour, for the assembly line during this whole time?
Choices:
22
24
26
28
Answer: B
Question: Matt and Peter can do together a piece of work in 20 days. After they have worked together for 10 days Matt stops and Peter completes the remaining work in 10 days. In how many days Peter complete the work separately.
Choices:
20
22
23
24
Answer: A
Question: If a choir consists of 5 boys and 6 girls, in how many ways can the singers be arranged in a row, so that all the boys are together? Do not differentiate between arrangements that are obtained by swapping two boys or two girls.
Choices:
30
24
11
7
Answer: D