antoine-444/aqua_rat_dataset huggingface dataset:
Question: By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 6 p.c?
Choices:
29000
37600
38000
40000
Answer: B
Question: The price of 5 kilograms of premium fertilizer is the same as the price of 12 kilograms of regular fertilizer. If the price of premium fertilizer is y cents per kilogram more than the price of regular fertilizer, what is the price, in cents, per kilogram of premium fertilizer?
Choices:
5/6*y
6/5*y
5y
12y/7
Answer: D
Question: A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?
Choices:
89
77
66
21
Answer: A
Question: 0.363*0.522+0.363*0.478 = ?
Choices:
0.845
0.363
0.985
0.885
Answer: B
Question: In a certain quiz that consists of 10 questions, each question after the first is worth 4 points more than the preceding question. If the 10 questions on the quiz are worth a total of 340 points, how many points is the third question worth?
Choices:
24
28
26
30
Answer: A
Question: For which of the following does p(a)−p(b)=p(a−b) for all values of a and b?
Choices:
p(x)=x/2
p(x)=x+5
p(x)=2x−1
p(x)=|x|
Answer: A
Question: Calculate how much time could be saved if the train would run at its usual speed, given that it ran at 2/3 of its own speed and got to its destination in 20 hours?
Choices:
9.67 hrs
8.95 hrs
8.67 hrs
6.67 hrs
Answer: C
Question: If x=kc and y=kt,then 2y+x =?
Choices:
k(c-t)
c(k-t)
k(2t+c)
k(1-t)
Answer: C
Question: The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is
Choices:
25cm
15cm
35cm
None of these
Answer: C
Question: A train passes a station platform in 36 sec and a man standing on the platform in 21 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choices:
225 m
187 m
176 m
186 m
Answer: A
Question: A mixture of three edible oils is composed of olive oil, sunflower oil, and ground nut oil. How many ml of ground nut oil is required to make 5 liters of oil mixture containing twice as much olive oil as sunflower oil, and three times as much olive oil as groundnut oil?(1L=100ml)
Choices:
1000ml
500ml
800ml
60ml
Answer: B
Question: A missile flies 6,000 miles at a speed of r mph. If the missile flies at a speed of r + 500 miles per hour, it would fly the same distance in 2 hours less. What is the value of r?
Choices:
1,000 mph
800 mph
1,200 mph
1,050 mph
Answer: A
Question: It would take one machine 7 hours to complete a large production order and another machine 6 hours to complete the same order. How many hours would it take both machines, working simultaneously at their respective constant rates, to complete the order?
Choices:
B 12/42
C 11/42
D 10/42
E 42/13
Answer: C
Question: If each term in the sum W=a1+a2+a3+...+an either 2 or 22 and the sum equals 100, which of the following could be equal to n?
Choices:
39
40
41
42
Answer: B
Question: A furniture dealer purchased a desk for $120 and then set the selling price equal to the purchase price plus a markup that was 40% of the selling price. If the dealer sold the desk at the selling price, what was the amount of the dealer's gross profit from the purchase and the sale of the desk?
Choices:
66.67
65
75
80
Answer: A
Question: In an examination, 34% candidates failed in one subject and 42% failed in another subject while 15% failed in both the subjects. If 2500 candidates appeared at the end of the examination how many passed in either subject but not in both?
Choices:
1150
1175
1243
1525
Answer: A
Question: If sy > 0 and yz < 0, which of the following must be negative:
Choices:
sy(z^2)
s(y^2)z
x(y^2)(z^2)
(x^2)(y^2)(z^2)
Answer: B
Question: The water level in a reservoir has been dropping at the rate of 12 inches per day. Exactly 5 days ago, the water level was at w inches. What will be the water level exactly 4 days from now if the rate at which the level is dropping remains the same?
Choices:
w − 108
w − 14
w + 14
w + 126
Answer: A
Question: A cyclist rides a bicycle 8 km at an average speed of 11 km/hr and again travels 11 km at an average speed of 8 km/hr. What is the average speed for the entire trip?
Choices:
8.76
9.04
9.12
9.25
Answer: B
Question: A boy was asked to find 7/9 of a x. But he divided the x by 7/9, Thus he got 32 more than theanswer. Find the x.
Choices:
41
51
63
56
Answer: C
Question: Of the 120 passengers on Flight 750, 45% are female. 10% of the passengers sit in first class, and the rest of the passengers sit in coach class. If 1/3 of the passengers in first class are male, how many females are there in coach class?
Choices:
48
46
52
56
Answer: B
Question: In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is
Choices:
1 hour
3 hour
4 hour
5 hour
Answer: A
Question: What is 12 percent of 80?
Choices:
9.6
8.66
12.23
13.1
Answer: A
Question: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 1.25 km respectively. The time taken by the slower train to cross the faster train in seconds is?
Choices:
77
48
54
11
Answer: C
Question: A school has received 40% of the amount it needs for a new building by receiving a donation of $600 each from people already solicited. People already solicited represent 40% of the people from whom the school will solicit donations. How much average contribution is requited from the remaining targeted people to complete the fund raising exercise?
Choices:
$300
$100
$400
$250
Answer: C
Question: x, a, z, and b are single digit positive integers. x = 1/7 a. z = 1/7 b. (10a + b) – (10x + z) could NOT equal
Choices:
36
42
63
66
Answer: C
Question: The simple interest accrued on an amount of Rs.49500 at he end of three is Rs.17820. What would be the compound interest accured on the same amount at teh same rate in the same period? (Round off your answer to two decimal places)
Choices:
Rs.20043.94
Rs.20264.46
Rs.19612.41
None of these
Answer: A
Question: Two trains are moving in opposite directions @60kmph and 90kmph. Their length are 1.10km and 0.9km. The time taken by the slower train to cross faster train in second is?
Choices:
30sec
48sec
36sec
40sec
Answer: B
Question: A man buys an article for $15. and sells it for $20. Find the gain percent?
Choices:
33 1/3%
20 1/3%
15%
30%
Answer: A
Question: A right circular cylinder has a height of 24 and a radius of 5. A rectangular solid with a height of 15 and a square base, is placed in the cylinder such that each of the corners of the solid is tangent to the cylinder wall. Liquid is then poured into the cylinder such that it reaches the rim. What is the volume of the liquid?
Choices:
500(π – 2.5)
500(π – 2)
600(π – 1.5)
500(π – 1)
Answer: C
Question: Two workers can type two pages in two minuets then how many persons can type 18 pages in 6 minuets
Choices:
3Workers
6Workers
7Workers
8Workers
Answer: B
Question: A company assigns product codes consisting of all the letters in the alphabet.How many product codes are possible if the company uses at most 6 letters in its codes, and all letters can be repeated in any one code?
Choices:
A.321272406
C.11881376
D.456976
E.17576
Answer: A
Question: The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?
Choices:
144
66
8
55
Answer: A
Question: If the sum of 3 consecutive integers is x, which of the must be true?
I. x is even
II. x is odd
III. x is a multiple of 3
Choices:
II only
III only
I and III
II and III
Answer: C
Question: A and B start from Opladen and Cologne respectively at the same time and travel towards each other at constant speeds along the same route. After meeting at a point between Opladen and Cologne, A and B proceed to their destinations of Cologne and Opladen respectively. A reaches Cologne 40 minutes after the two meet and B reaches Opladen 80 minutes after their meeting. How long did A take to cover the distance between Opladen and Cologne?
Choices:
1 hour 10 minutes
2 hours 30 minutes
1 hour 20 minutes
2 hours 10 minutes
Answer: C
Question: The average age of three boys is 15 years and their ages are in proportion 3:5:7. What is the age in years of the youngest boy?
Choices:
9
7
5
2
Answer: A
Question: A certain bridge is 4,024 feet long. Approximately how many minutes does it take to cross this bridge at a constant speed of 40 miles per hour? (1 mile = 5,280 feet)
Choices:
1
4
6
7
Answer: A
Question: An investment of Rs.800 doubled in 4 years when compounded annually. How many more years will it take to get another Rs.1600 compound interest?
Choices:
6 years
4 years
5 years
3 years
Answer: B
Question: 3 men and 7 women can complete a work in 10 days . But 4 men and 6 women need 8 days to complete the same work . In how many days will 10 women complete the same work?
Choices:
40
30
20
10
Answer: A
Question: What is the probability of getting exactly 2 heads in a single throw of five fair coins?
Choices:
3/8
3/16
5/16
11/32
Answer: C
Question: If −y ≥ x, and −x < −6, then which of the following must be true?
Choices:
y > −6
−y > 6
y ≤ −6
y ≥ −6
Answer: B
Question: Consider a lady took a loan from a bank at the rate of 12% p.a. simple interest. After 3 years she had to pay Rs. 8100
interest only for the period. The principal amount borrowed by her was
Choices:
Rs. 22500
Rs. 15000
Rs. 20000
None of these
Answer: A
Question: Johnny makes $4.75 per hour at his work. If he works 6 hours, how much money will he earn?
Choices:
$54
$28.50
$12
$9.60
Answer: B
Question: A man spends 3/5 of his expenditure on house rent,2/5 of his expenditure on food and 1/6 of his expenditure on conveyence.if he spent total 12000 rs.,find his expenditure on food.
Choices:
4800
3500
7500
2800
Answer: A
Question: The price of commodity X increases by 30 cents every year, while the price of commodity Y increases by 20 cents every year. If in 2001, the price of commodity X was $4.20 and the price of commodity Y was $4.50, in which year will commodity X cost 90 cents more than the commodity Y?
Choices:
2011
2012
2013
2014
Answer: C
Question: A began business with 12500 and is joined afterwards by B with 25000. When did B join, if the profits at the end of the year are divided equally?
Choices:
9 months
6 months
5 months
None of these
Answer: B
Question: The area of a square is equal to seven times the area of a rectangle of dimensions 25 cm * 343 cm. What is the perimeter of the square?
Choices:
800 cm
980 cm
718 cm
860 cm
Answer: B
Question: A cistern is normally filled in 4 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in?
Choices:
88
40
99
12
Answer: D
Question: If c^2 = d^2, which of the following must be true?
Choices:
|c| = |d|
c = |d|
c = −|d|
c=-d
Answer: A
Question: Ten telegenic contestants with a variety of personality disorders are to be divided into two “tribes” of three members each, tribe A and tribe B, for a competition. How many distinct groupings of two tribes are possible?
Choices:
120
252
1200
1260
Answer: A
Question: A and B start a business jointly. A invests Rs.16000 for 8 months and B remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B?
Choices:
Rs.12800
Rs.6000
Rs.8000
Rs.13000
Answer: A
Question: On Saturday morning, John will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.5, what is the probability that Malachi will return home at the end of the day on the following Monday?
Choices:
0.125
0.128
0.512
0.64
Answer: A
Question: If 12 : 18 :: x : 9, then find the value of x
Choices:
4
6
8
10
Answer: B
Question: A reduction of 21% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
Choices:
s.2.66
s.2.5
s.2.2
s.2.1
Answer: A
Question: A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?
Choices:
8
9
6
2
Answer: A
Question: The product of x and y is a constant. If the value of x is increased by 50%, by what percentage must the value of y be decreased?
Choices:
40%
33 1⁄3%
25%
12 1⁄2%
Answer: B
Question: The average of marks obtained by 120candidates was 35. If the avg of marks of passed candidates was 39 and that of failed candidates was 39 and that of failed candidates was 15, the no.of candidates who passed the examination is?
Choices:
80
100
110
130
Answer: B
Question: If it is 6:27 in the evening on a certain day, what time in the morning was it exactly 2,880,710 minutes earlier? (Assume standard time in one location.)
Choices:
6:24
6:27
6:30
6:32
Answer: B
Question: The area of a circular field is 13.86 hectares. Find the cost of fencing it at the rate of Rs. 4.60 per metre.
Choices:
3888
2999
5808
6072
Answer: D
Question: The average of five results is 46 and that of the first four is 45. The fifth result is?
Choices:
50
77
66
51
Answer: A
Question: By selling a house for Rs.45000, it was found that 1/2 of the outlay was gained, what ought the selling to price to have been in order to have lost 2 p.c?
Choices:
38000
38028
29400
38192
Answer: C
Question: A is a set containing 8 different positive odd numbers. B is a set containing 7 different numbers, all of which are members of A. Which of the following statements CANNOT be true?
Choices:
The mean of A is even.
The mean of B is even.
The range of A is equal to the range of B.
The median of B is equal to the mean of B.
Answer: B
Question: Find unit digit of N when N = 63^1!+2!+...+63! + 18^1!+2!+...+18! + 37^1!+2!+...37!
Choices:
4
6
8
0
Answer: C
Question: a, b, and c are integers and a<b<c. S is the set of all integers from a to b, inclusive. Q is the set of all integers from b to c, inclusive. The median of set S is (3/4)*b. The median of set Q is (4/8)*c. If R is the set of all integers from a to c, inclusive, what fraction of c is the median of set R?
Choices:
1/2
11/16
5/7
3/4
Answer: A
Question: The average height of 50 pupils in a class is250 cm. Five of them whose height is 146 cm, leave the class and five others whose average height is 156 cm, join. The new average height of the pupils of the class (in cm) is __________ .
Choices:
351 cm
241 cm
251 cm
261 cm
Answer: C
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
97 years
27 years
29 years
Answer: A
Question: The average temperature of the town in the first four days of a month was 58 degrees. The average for the second, third, fourth and fifth days was 60 degrees. If the temperatures of the first and fifth days were in the ratio 7 : 8, then what is the temperature on the fifth day ?
Choices:
64 degrees
54 degrees
44 degrees
24 degrees
Answer: A
Question: In how many years will a sum of money double itself at 10% per annum?
Choices:
4 years 2 months
8 years 4 months
10 years 8 months
None
Answer: B
Question: A certain car averages 35 miles per gallon when driving in the city and 40 miles per gallon when driving on the highway. According to these rates, which of the following is closest to the number of miles per gallon that the car averages when it is driven 10 miles in the city and then 50 miles on the highway?
Choices:
30
33
39
38
Answer: C
Question: Two trains 140 m and 190 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choices:
10.1 sec
10.6 sec
11.88 sec
10.2 sec
Answer: C
Question: A 12% stock yielding 10% is quoted at:
Choices:
2778
277
120
288
Answer: C
Question: What is the probability of getting a sum of 8 or 14 when rolling 3 dice simultaneously?
Choices:
1/6
1/2
21/216
32/216
Answer: A
Question: When a merchant imported a certain item, she 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 $109.90, what was the total value of the item?
Choices:
$2150
$2360
$2570
$2780
Answer: C
Question: From a group of 17 astronauts that includes 8 people with previous experience in space flight, a 3-person crew is to be selected so that exactly 1 person in the crew has previous experience in space flight. How many different crews of this type are possible?
Choices:
258
268
278
288
Answer: D
Question: At a local supermarket, a box of cereal usually costs 5 dollars. This week, the supermarket sells the box of cereal for 3 dollars. How much money will you save if you buy this cereal at this supermarket?
Choices:
3 dollars
4 dollars
2 dollars
1 dollar
Answer: C
Question: A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 39000, then the share of B is?
Choices:
18000
24005
24009
24002
Answer: A
Question: Kim is taking a math class, and the teacher gives a multiple choice test consisting of 7 questions. If each question has 5 answer choices, and Kim answers every question, in how many different ways can she complete the test?
Choices:
b 400
c 5^8
d 8^5
e 5^7
Answer: D
Question: David walks to a viewpoint and returns to the starting point by his car and thus takes a total time of 2 hours . He would have gained 1 hour by driving both ways. How long would it have taken for him to walk both ways.
Choices:
3 h
4 h
5 h
6 h
Answer: A
Question: 8.5 × 6.4 + 4.5 × 11.6 = ? ÷ 4
Choices:
426.4
106.6
422.4
522.5
Answer: A
Question: In the xy-plane, line w passes through point (3,-2) and intersect perpendicularly with line n that passes through points (0,3) and (3,5). What is the equation of line w?
Choices:
3x+2y-5=0
2x-3y-12=0
2x+3y=0
4x+3y-6=0
Answer: A
Question: A drawer holds 5 red hats and 5 blue hats. What is the probability of getting exactly three red hats or exactly three blue hats when taking out 4 hats randomly out of the drawer and returning each hat before taking out the next one?
Choices:
1/4
1/2
3/8
7/12
Answer: B
Question: Kelvin earns $60 a week from his job. His income increased and now makes $70 a week. What is the percent increase?
Choices:
16.66%
18.2%
19.3%
20%
Answer: A
Question: A bank offers 3% compound interest calculated on quarter-yearly basis. A customer deposits $ 15000 each in 1st month. At the end of the year, the amount he would have gained by way of interest is?
Choices:
150
455
300
600
Answer: B
Question: Seven years ago the average age of a family of 2 members was 21 years. A child has been born. due to Which the average age of the family is 23 years today. What is the present age of the child?
Choices:
13years
15years
17years
20years
Answer: A
Question: By selling 100 pencil, a trader gains the cost of 33 Pencil. Find his gain percentage?
Choices:
51 1/3%
33 %
53 1/3%
34 1/3%
Answer: B
Question: If a quarter kg of onions costs 40 paise, how many paise will 100 gm cost?
Choices:
65 paise
56 paise
87 paise
16 paise
Answer: D
Question: A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
Choices:
4 min
6 min
8 min
10 min
Answer: A
Question: In a simultaneous throw of a pair of dice, find the probability of getting a total more than 10
Choices:
2/15
1/12
3/17
6/19
Answer: B
Question: The speeds of three motor bikes are in the ratio 24 : 4 : 6. The ratio between the time taken by them to travel the same distance is :
Choices:
1 : 6 : 3
1 : 6 : 5
1 : 6 : 4
1 : 5 : 4
Answer: C
Question: Set Q consists of the following five numbers: Q = {5, 8, 13, 21, 34, 42}. Which of the following sets has the same standard deviation as Set Q?
I. {35, 38, 43, 51, 64}
II. {10, 16, 26, 42, 68}
III. {46, 59, 67, 72, 75}
Choices:
III
IIII
IIIII
I, II,III
Answer: D
Question: Jamboree and GMAT Club Contest Starts
QUESTION #10:
How many words (with or without meaning)Q can be formed using all the letters of the word “SELFIE” so that the two E’s are not together?
Choices:
600
500
300
240
Answer: D
Question: The perimeters of two squares are 48 cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares?
Choices:
35.6 cm
88 cm
55 cm
34 cm
Answer: A
Question: All but one of the following statements are definitely true, identify the false statement, given that V is the brother of W and X. Y is V's son and Z is W's son?
Choices:
W is Y's uncle
X is Y's uncle
X is Y's brother
Y is Z's nephew
Answer: C
Question: A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?
Choices:
89
277
278
291
Answer: A
Question: The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:
Choices:
10 d
15 d
5 d
20 d
Answer: A
Question: An auto assembly plant performs six functions with each frame that arrives: add axles, add wheels to the axles, install the windshield to the frame, install the instrument panel, install the steering wheel, and install the interior seating. Once those six tasks are performed, each car goes to a separate building for finishing touches. If these tasks can be arranged along a linear assembly line in any order, except that the axles must be installed before the wheels can be added, how many E ways can the assembly line be arranged?
Choices:
240
360
480
720
Answer: B
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km / hr can cross in 30 seconds, is
Choices:
225 m
245 m
250 m
None
Answer: B
Question: If d > x > y > z on the number line, y is halfway between x and z, and x is halfway between w and z, then (y - x)/(y - d) =
Choices:
1/3
1/2
3/4
1
Answer: A
Question: If 16% of 40% of a number is 7, then the number is
Choices:
225
109.375
320
None of these
Answer: B
Question: In how many ways can a group of 3 men and 3 women be made out of a total of 7 men and 4 women?
Choices:
167
130
174
180
Answer: B
Question: Integers 3n+2 and 8n+6 are divisible by an integer p. If p is not equal to 1, then p equals to?
Choices:
2
5
7
11
Answer: A
Question: The units digit of (10)^(87) + (93)^(46) is:
Choices:
9
6
8
0
Answer: A
Question: one man can do a piece of work in 10days. one boys join him & he complete the work in 6days . if he gets 50rs for his work then what will be the share of the boy.
Choices:
20
30
40
50
Answer: A
Question: The perimeter of a triangle is 44 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Choices:
28 cm2
98 cm2
26 cm2
55 cm2
Answer: D
Question: A man can hit a target once in 8 shots. If he fires 4 shots in succession, how many ways that he will hit his target?
Choices:
81/13
81/29
17/29
91/32
Answer: C
Question: How many zeroes are there at the end of the number N, if N = 150! + 300! ?
Choices:
31
34
37
40
Answer: C
Question: The average of 10 numbers is calculated as 14. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?
Choices:
B)15
C)19
D)22
E)24
Answer: A
Question: 9 children can complete a piece of work in 360 days; 18 men can complete the same piece of work in 72 days and 12 women can complete it in 162 days. In how many days can 4 men, 12 women and 10 children together complete the piece of work?
Choices:
81 days
96 days
124 days
126 days
Answer: A
Question: Praveen starts business with Rs.3360 and after 5 months, Hari joins with Praveen as his partner. After a year, the profit is divided in the ratio 2 : 3. What is Hari’s contribution in the capital?
Choices:
s.8640
s.8500
s.9000
s.6000
Answer: A
Question: The difference between the value of a number increased by 12.5% and the value of the original number decreased by 25% is 30. What is the original number R?
Choices:
80
40
120
160
Answer: A
Question: The banker's discount on Rs.1350 due a certain time hence is Rs.135. Find the true discount and the banker's gain.
Choices:
12
18
21
None
Answer: A
Question: An athlete runs 360 metres race in 24 seconds. What is his speed?
Choices:
64.8
37
30
28
Answer: A
Question: Excluding stoppages, the speed of a bus is 80 kmph and including stoppages, it is 60 kmph. For how many minutes does the bus stop per hour?
Choices:
20 min
25 min
30 min
15 min
Answer: D
Question: Find a sum for first 7 prime no's from number series?
Choices:
56
30
34
36
Answer: A
Question: A number when divided by 342 gives a remainder 47. When the same number ift divided by 19, what would be the remainder ?
Choices:
5
9
6
16
Answer: B
Question: Which of the following must be true =>
A) The Average of N Consecutive integers is an integer for N being Even
B) The Average of N Consecutive integers is an integer for N being Odd
C) The product N(N+1)(N+2) for integer N must be divisible by both 3 and 6
D) 2N+1 is always Odd irrespective of N.
Choices:
A,C,D
B,C
Only D
All of them
Answer: B
Question: area of square = sum of areas of rect1(41*27) and rect2(41*14). find square side
Choices:
40
41
42
58
Answer: B
Question: If $x is invested at a constant annually compound interest rate of k percent, what is the ratio of the total amount including interest after 5n years to that after 3n years?
Choices:
(1+k/100)^2n
(1+kn/100)
(1+n/100)^k
(1+kn)
Answer: A
Question: Last year Elaine spent 10% of her annual earnings on rent. This year she earned 15% more than last year and she spent 30% of her annual earnings on rent. The amount she spent on rent this year is what percent of the amount spent on rent last year?
Choices:
364.5
367.5
375
345
Answer: D
Question: x, y, a, and b are positive integers. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 14. Which of the following is NOT a possible value for y + b?
Choices:
21
20
17
15
Answer: B
Question: Machine A can make 350 widgets in 1 hour, and machine B can make 250 widgets in 1 hour. If both machines work together, how much time will it take them to make a total of 2000 widgets?
Choices:
3 hour and 20 minutes
3 hour and 30 minutes
3 hour and 36 minutes
3 hour and 40 minutes
Answer: A
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is :
Choices:
690
650
698
728
Answer: C
Question: A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
Choices:
20
287
277
291
Answer: A
Question: Find the value of 1/(3+1/(3+1/(3-1/3)))?
Choices:
15/87
27/89
27/87
89/27
Answer: B
Question: If the average (arithmetic mean) of 5 positive temperatures is p degrees Fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be:
Choices:
4p
5p/3
3p/2
3p/5
Answer: A
Question: Each participant in a certain study was assigned a sequence of 3 different letters from the set {A, B, C, D, E, F, G, H}. If no sequence was assigned to more than one participant and if 36 of the possible sequences were not assigned, what was the number of participants in the study? (Note, for example, that the sequence A, B, C is different from the sequence C, B, A.)
Choices:
92
300
372
476
Answer: B
Question: A piece of equipment cost a certain factory Rs 600,000. If it depreciates in value, 15% the first year, 13.5 % the next year, 12% the third year, and so on, what will be its value at the end of 10 years, all percentages applying to the original cost?
Choices:
Rs1,05,000
Rs4,05,000
Rs 6,50,000
None
Answer: A
Question: A persons salary iis decreased by steps of 20%, 15% and 10%. What will be the percentage decrease, if the salary is decreased in a single shot?
Choices:
36.8%
38.8%
39.8%
32.8%
Answer: B
Question: Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business ?
Choices:
24:25:36
7:6:10
12 : 15 : 16
None of these
Answer: C
Question: 35 binders can bind 1400 books in 21 days. How many binders will be required to bind 1600 books in 20 days?
Choices:
18
42
16
10
Answer: B
Question: Which of the following numbers has the greatest number of distinct prime factors?
Choices:
192
228
330
332
Answer: C
Question: Find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm?
Choices:
165 sq.cm
186 sq.cm
168 sq.cm
600 sq.cm
Answer: D
Question: An bus covers a certain distance at a speed of 300 kmph in 5 hours. To cover the samedistance in 1hr, it must travel at a speed of?
Choices:
1640 km/hr
1656 km/hr
1500 km/hr
1520 km/hr
Answer: C
Question: Two trains of equal lengths take 9 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:
11.3
13
14
15
Answer: A
Question: The difference of the squares of two consecutive even integers is divisible by which of the following integers ?
Choices:
4
2
5
1
Answer: A
Question: Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 45 sec. The length of each train is?
Choices:
26
27
62.5
21
Answer: C
Question: A boat can travel with a speed of 16 km/hr in still water. If the rate of stream is 5 km/hr, then find the time taken by the boat to cover distance of 126 km downstream.
Choices:
5 hours
6 hours
7 hours
8 hours
Answer: B
Question: Find the principal which yields a simple interest of Rs. 20 and compound interest of Rs. 21 in two years, at the same percent rate per annum?
Choices:
Rs. 480
Rs. 420
Rs. 200
Rs. 600
Answer: C
Question: The ratio of the present age of two brothers is 1:2 and 5 years back, the ratio was 1:3. What will be the ratio of their ages after 5 years?
Choices:
3:0
ratio 3:5
3:2
3:1
Answer: B
Question: If the sum of a number and its square is 210, what is the number?
Choices:
14
28
91
none of these
Answer: A
Question: The edges of a cuboid are 4 cm, 4 cm and 6 cm. Find the volume of the cuboid?
Choices:
60
96
80
72
Answer: B
Question: What is the average (arithmetic mean) of all the multiples of ten from 10 to 210 inclusive?
Choices:
95
100
120
110
Answer: C
Question: Working together, Jose and Jane can complete an assigned task in 5 days. However, if Jose worked alone and complete half the work and then Jane takes over the task and completes the second half of the task, the task will be completed in 15 days. How long will Jose take to complete the task if he worked alone? Assume that Jane is more efficient than Jose
Choices:
15 days
60 days
65 days
36 days
Answer: A
Question: Which four figure number contains four different digits and meets the following criteria? The first digit is twice the value of the fourth digit and two more than the second digit. The third digit is one more than the first digit and four more than the fourth digit.
Choices:
6473
3573
3262
7364
Answer: A
Question: k = 2^n + 9, where n is an integer greater than 1. If k is divisible by 9, which of the following MUST be divisible by 9?
Choices:
2^n - 2
2^n+5
2^n + 4
2^n
Answer: D
Question: Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers?
Choices:
10, 5
12, 7
11, 6
13, 8
Answer: B
Question: Lakshmi took a loan of Rs. 1500 with simple interest for as many years as the rate of interest. If she paid Rs. 960 as interest at the end of the loan period, what was the rate of interest?
Choices:
8
6
5
4
Answer: A
Question: If Danny scored 86, 75, 52, 87, 85 and 82 marks (out of 100) in English, Social Studies, Art, Music, Biology and French. What are his average marks ?
Choices:
77.8
67.8
87.8
97.8
Answer: A
Question: Let the polynomials be:
P1(x)=3x2−7x+3,
P2(x)=−5x2−4x+2,
P1(x)+P2(x)=
Choices:
-2x2 - 11x + 5
-2x2 - 11x + 6
2x2 - 9x + 7
None of these
Answer: A
Question: A salesperson gets a 15% commission on each sale he makes. How many sales of $270 each must he make in order to reach a salary of at least $1000?
Choices:
24
25
26
52
Answer: B
Question: Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business ?
Choices:
12 : 15 :29
12 : 15 :99
12 : 15 :16
12 : 15 :11
Answer: C
Question: A factory has 15 machines of equal efficiency in its factory. The annual manufacturing costs are Rs.42,000 & establishment charges are Rs.12,000. The annual output of the company is Rs.70,000. The annual output and manufacturing costs are directly proportional to the number of machines. The shareholders get 12.512.5 profit, which is directly proportional to the annual output of the company. If 7.147.14 machines remain closed throughout the year, then the % decrease in the amountof profit of the shareholders would be?
Choices:
12.5%
14%
15%
16%
Answer: A
Question: Sue planted 4 times as many apple seeds as she planted orange seeds. 15 percent of the apple seeds grew into trees, and 10 percent of the orange seeds grew into trees. If a total of 420 apple trees and orange trees grew from the seeds, how many orange seeds did Sue plant?
Choices:
600
660
720
760
Answer: A
Question: The proportion of water to alcohol in Solution A is 5:1 and the proportion of water to alcohol in Solution B is 2:3. If an equal amount of each solution is mixed together, what is the concentration of alcohol in the new solution?
Choices:
37.6%
38.3%
39.8%
40.5%
Answer: B
Question: Two trains A and B starting from two points and travelling in opposite directions, reach their destinations 9 hours and 4 hours respectively after meeting each other. If the train A travels at 60kmph, find the rate at which the train B runs.
Choices:
60
120
90
100
Answer: C
Question: A certain electric-company plan offers customers reduced rates for electricity used between 8 p.m. and 8 a.m. weekdays and 24 hours a day Saturdays and Sundays. Under this plan, the reduced rates C apply to what fraction of a week?
Choices:
5/8
9/14
16/21
9/10
Answer: B
Question: Karan started a business investing Rs 29000. After five months, Satish joined with a capital of Rs 18000. If at the end of the year, they earn a profit of Rs. 16970, then what will be the share of Satish in the profit ?
Choices:
4552
4511
4529
4771
Answer: B
Question: The average age of husband, wife and their child 3 years ago was 21 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is
Choices:
22 years
50 years
55 years
None
Answer: A
Question: What is the least possible product of 4 different integers, each of which has a value between –4 and 10, inclusive?
Choices:
–2880
–720
–600
–120
Answer: A
Question: Jones has 6 pairs of shoes; each pair is a different color. If Kim randomly selects 2 shoes without replacement from the 12 shoes, what is the probability that she will select 2 shoes of the same color?
Choices:
1/13
1/9
1/10
1/25
Answer: A
Question: 43 : 34 :: 52 :?
Choices:
25
36
64
56
Answer: A
Question: One fourth of a solution that was 15% salt by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight. The second solution was what percent salt by weight?
Choices:
34%
22%
19%
8.5%
Answer: C
Question: There are 38 students in a certain geometry class. If two thirds of the students are boys and three fourths of the boys are under six feet tall, how many boys in the class are under six feet tall?
Choices:
12
19
24
27
Answer: B
Question: The sector of a circle has radius of 21 cm and central angle 110o. Find its perimeter?
Choices:
91.4
91.7
82.3
91.1
Answer: C
Question: In a test containing 16 questions , contestants get a base core of 20 points for taking the test. 5 points for each correctly answered question and 2 points for each unanswered question.An incorrectly answeredquestion is worth 0 points.Of the following scores which one is not attainable
Choices:
96
94
95
93
Answer: A
Question: Out of 10 persons working on a project, 7 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
Choices:
119/3
5/120
119/120
5/6
Answer: C
Question: In a certain village, 200 litres of water are required per household per month. At this rate, if there are 5 households in the village, how long (in months) will 2000 litres of water last?
Choices:
5
6
2
4
Answer: C
Question: What is the place value of 3 in the numeral 3259
Choices:
2500
2600
3000
3100
Answer: C
Question: A car dealership sold two cars: the first car at a 10% profit and the second car at a 10% loss, which gave them an overall profit margin of 5% from these two sales. If the dealership's total profit was $1000, what was the sale price of each car?
Choices:
$9,000 and $5,000
$11,000 and $9,000
$15,000 and $5,000
$20,000 and $10,000
Answer: C
Question: One year ago, the ratio of Gaurav’s and Sachin’s age was 6: 7 respectively.Four years hence, this ratio would become 7: 8. How old is Sachin ?
Choices:
36 years
12 years
41 years
35 years
Answer: A
Question: If 2x+3y+z=55,x-y=4 and y - x + z=12,then what are the values of x , y and z?
Choices:
8,11,7
8,7,11
11,7,8
7,11,8
Answer: D
Question: A man sitting in a train which is travelling at 50 kmph observes that a goods train, travelling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed?
Choices:
62 kmph.
72 kmph.
80 kmph.
None
Answer: A
Question: A local bank that has 8 branches uses a two-digit code to represent each of its branches. The same integer can be used for both digits of a code, and a pair of two-digit numbers that are the reverse of each other (such as 17 and 71) are considered as two separate codes. What is the fewest number of different integers required for the 8 codes?
Choices:
6
5
3
7
Answer: C
Question: If there are 4 peanuts in a box and Mary puts 4 more peanuts inside, how many peanuts are in the box?
Choices:
8
10
11
12
Answer: A
Question: A package contains 8 black and 14 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Choices:
7/11
6/8
7/9
1/3
Answer: A
Question: At what time between 5.30 and 6 will the hands of a clock be at right angles?
Choices:
(43 + 7/11) min pats 5
(43 + 7/11) min pats 4
(43 + 7/11) min pats 2
(43 + 7/11) min pats 1
Answer: A
Question: Each customer of a networking company subscribes to one of two plans: Plan A or Plan B. Plan A costs $75 per month and Plan B costs $175 per month per customer. If the company’s average revenue per customer per month is $150, then what percent of the company's revenue comes from customers with Plan A?
Choices:
30%
37.5%
56.25%
75%
Answer: A
Question: The annual budget of a certain college is to be shown on a circle graph. If the size of each sector of the graph is to be proportional to the amount of the budget it represents, how many degrees of the circle should be used to represent an item that is 40 percent of the budget?
Choices:
144 °
54 °
90 °
150 °
Answer: A
Question: A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
Choices:
Rs. 4991
Rs. 6001
Rs. 6991
Rs. 6992
Answer: A
Question: X and Y started a business with capitals Rs. 20000 and Rs. 25000. After few months Z joined them with a capital of Rs. 30000. If the share of Z in the annual profit of Rs. 50000 is Rs. 14000, then after how many months from the beginning did Z join?
Choices:
7
4
9
5
Answer: D
Question: If a company allocates 25 percent of its budget to advertising, 15 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations?
Choices:
3/5
3/10
1/20
1/40
Answer: C
Question: A shopkeeper sells 400 metres of cloth for Rs. 18000 at a loss of Rs.5 per metre. Find his cost price for one metre of cloth?
Choices:
27
29
50
21
Answer: C
Question: From a group of 4 boys and 4 girls, 6 children are to be randomly selected. What is the probability that 3 boys and 3 girls will be selected?
Choices:
2/3
3/5
4/7
5/9
Answer: C
Question: A man is walking at a speed of 6 km per hour. After every km he takes rest for 6 minutes. How much time will he take to cover a distance of 12 km.
Choices:
5 hr 42 min
4 hrs. 10 min
3 hr. 6 min
None of these
Answer: C
Question: Average of all prime numbers between 20 to 50
Choices:
37.8
39
39.8
35.8
Answer: D
Question: If the number 52,1n9, where n represents the tens digit, is a multiple of 3, then the value of n could be which of the following?
Choices:
5
3
1
0
Answer: C
Question: A train 500 m long passed a pole in 50 sec. How long will it take to pass a platform 1000 m long?
Choices:
89 sec
85 sec
150 sec
15 sec
Answer: C
Question: 24 buses are running between two places P and Q. In how many ways can a person go from P to Q and return by a different bus?
Choices:
552
512
524
542
Answer: A
Question: A box contains 15 mangoes out of which 8 are spoilt. If eight mangoes are chosen at random, find the probability that A number is selected at random from first twenty natural numbers. What is the chance that it is a multiple of either 4 or 15?
Choices:
1/10
7/10
1/5
3/10
Answer: D
Question: If a is a positive integer, and if the units digit of a^2 is 9 and the units digit of (a+1)^2 is 4, what is the units digit of (a+2)^2?
Choices:
1
5
6
14
Answer: A
Question: Simplify: 3005-3000+10
Choices:
2509
2705
2508
None of them
Answer: B
Question: Mixture A is 40 percent alcohol, and mixture B is 80 percent alcohol. If the two are poured together to create a 4-gallon mixture that contains 50 percent alcohol, approximately how many gallons of mixture A are in the mixture?
Choices:
1.7
2.3
2.5
2.4
Answer: D
Question: A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is:
Choices:
100
50
200
300
Answer: B
Question: In how many different ways can the letters of the word 'RUMOUR' be arranged ?
Choices:
270
350
790
180
Answer: D
Question: Using all the letters of the word "NOKIA", how many words can be formed, which begin with N and end with A?
Choices:
6
5
4
3
Answer: A
Question: Group A has 3 boys and 2 girls, group B has 4 boys and 4 girls and group C has 3 boys and 3 girls. One student is selected from each of the group. Find the probability that one girl and two boys are among the three selected?
Choices:
2/5
9/5
2/3
77/272
Answer: A
Question: An engineer undertakes a project to build a road 15 km long in 300 days and employs 50 men for the purpose. After 100 days, he finds only 2.5 km of the road has been completed. Find the (approximate) number of extra men he must employ to finish the work in time.
Choices:
b. 45
c. 75
d. 68
e. 60
Answer: B
Question: A 300 meter long train crosses a platform in 36 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Choices:
300m
350m
228m
282m
Answer: A
Question: A shopping cart contains only apples, oranges, and pears. If there are twice as many oranges as apples, and four times as many pears as oranges, then the apples are equivalent to what fraction of the pears?
Choices:
1/8
2/3
1/3
1/4
Answer: A
Question: The perimeter of one square is 48 cm and that of another is 20 cm. Find the perimeter and the diagonal of a square which is equal in area to these two combined?
Choices:
13√2 cm
16√2 cm
17√2 cm
18√2 cm
Answer: A
Question: How many positive integers except zero that are less than 10,000 can be formed using the digits 0, 1, 2, 3, 4, 6, 78?
Choices:
4096
6560
4095
8000
Answer: C
Question: At a certain paint store forest green is made by mixing 4 parts blue paint with 3 parts yellow paint.Verdant green is made by mixing 4 parts yellow paint with 3 parts blue paint.How many liters of yellow paint must be added to 28 liters of forest green to change it to Verdant green?
Choices:
28/3
3
4
14/3
Answer: A
Question: A man can row his boat with the stream at 12 km/h and against the stream in 4 km/h. The man's rate is?
Choices:
4 kmph
98 kmph
6 kmph
4 kmph
Answer: D
Question: Tanya prepared 4 different letters to 4 different addresses. For each letter, she prepared one envelope with its correct address. If the 4 letters are to be put into the four envelopes at random, what is the probability that only one letter will be put into the envelope with its correct address?
Choices:
1/8
1/4
1 by 3
3/8
Answer: C
Question: a person has 12004 coins of silver. How much would he need to add so that he can distribute equally among his seven children in whole numbers?
Choices:
1 coin
3 coins
4 coins
coins
Answer: A
Question: The average weight of a group of boys is 20 kg. After a boy of weight 36 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Choices:
15
18
24
10
Answer: A
Question: A student can select one of 7 different math book, one of 3 different chemistry book & one of 4 different science book.In how many different ways students can select book of math, chemistry & science.
Choices:
84
99
37
01
Answer: A
Question: Three printing presses, Q, S, and T, working together at their respective constant rates, can do a certain printing job in 4 hours. S and T, working together at their respective constant rates, can do the same job in 5 hours. How many hours would it take Q, working alone at its constant rate, to do the same job?
Choices:
10
12
15
20
Answer: D
Question: In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
Choices:
7/16
2/7
9/16
5/7
Answer: B
Question: A cistern 4m long and 2 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:
Choices:
23 m2
52 m2
24 m2
55 m2
Answer: A
Question: Of the three- digit integers greater than 700, how many have two digits E that are equal to each other and the remaining digit different from the other two?
Choices:
82
80
45
36
Answer: B
Question: The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Choices:
26 cm2
87 cm2
26 cm2
35 cm2
Answer: D
Question: The number which exceeds 16% of it by 21 is :
Choices:
25
58
60
62
Answer: A
Question: If 5 < x < 11 and y = x + 7, what is the greatest possible integer value of x + y?
Choices:
27
28
29
30
Answer: B
Question: In a mixture of milk and water, the proportion of milk by weight was 80%. If, in a 180 gm mixture, 36 gms of pure milk is added, what would be the percentage of milk in the mixture formed?
Choices:
83.33%
59%
74.1%
69
Answer: B
Question: A person incurs a loss of 5% be selling a watch for Rs. 1140. At what price should the watch be sold to
earn 5% profit.
Choices:
Rs.1230
Rs.1260
Rs.1290
None of these
Answer: B
Question: What is the next number in the sequence : 10,11,13,17,25,32,37,47, __?
Choices:
53
51
58
52
Answer: C
Question: The length of a rectangle is increased by 25% and its breadth is decreased by 20%. What is the effect on its area?
Choices:
10000
2657
2876
2868
Answer: A
Question: John went to the Hospital at the speed of 60 km per hour while returning for his home he covered the half of the distance at the speed of 10 per hour, but suddenly he realized that he was getting late so he increased the speed and reached the home by covering rest 1/2 of the distance at the speed of 30km per hour. The average speed of the John in the whole length of journey is?
Choices:
20 km/hr
24 km/hr
28 km/hr
29 km/hr
Answer: B
Question: How many total number of ways in which x distinct objects can be put into two different boxes is
Choices:
2x
2n
3n
None of these
Answer: A
Question: Two dice are rolled. The probability of getting a sum of at least 9 is
Choices:
5/18
35/36
11/36
15/36
Answer: A
Question: An unbiased die is tossed. Find the probability of getting a multiple of 3.
Choices:
1/6
2/3
1/3
1/4
Answer: C
Question: when i was of 2 years old, my sister's age was half of mine..
now i am of 100..
what is the age of my sister??
Choices:
99
97
95
94
Answer: A
Question: At an international conference, “Red” world countries and “Blue” world countries are the only participants. The ratio of “Red” world participants to “Blue” world participants is 5:5. If one-third of “Red” world participants are left-handed and two-thirds of “Blue” world participants are left-handed, then what is the fraction of the participants who are left-handed?
Choices:
1/8
1/6
1/2
1
Answer: C