antoine-444/aqua_rat_dataset huggingface dataset:
Question: sue has 3 apples. Billy has 5 apples. If billy steals all of sues apples and eats 1 how many does he have left?
Choices:
5
6
7
8
Answer: C
Question: If x+|x|+y=7 and x+|y|-y=5 what is x+y=?
Choices:
-1
3
5
13
Answer: C
Question: A textile manufacturing firm employees 100 looms. It makes fabrics for a branded company. The aggregate sales value of the output of the 100 looms is Rs 5,00,000 and the monthly manufacturing expenses is Rs 1,50,000. Assume that each loom contributes equally to the sales and manufacturing expenses are evenly spread over the number of looms. Monthly establishment charges are Rs 75000. If one loom breaks down and remains idle for one month, the decrease in profit is:
Choices:
7000
10000
3500
None of these
Answer: C
Question: The fourth proportional to 12, 20 and 30 is?
Choices:
66
55
50
61
Answer: C
Question: The sum of the present ages of father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be?
Choices:
287
26
20
28
Answer: C
Question: The sides of the triangle are in the ratio 5:6:7 and its perimeter is 720cm. The length of the longest side is?
Choices:
200cm
162cm
220cm
280cm
Answer: D
Question: Three business people wish to invest in a new company. Each person is willing to pay one third of the total investment. After careful calculations, they realize that each of them would pay $8,200 less if they could find two more equal investors. How much is the total investment in the new business?
Choices:
$61,500
$21,000
$ 5,400
$ 3,600
Answer: A
Question: What should come in place of the question mark (?) in the following number series?
16 8 12 30 105 ?
Choices:
470.5
367.5
472.5
None of these
Answer: C
Question: While playing a certain dice game, Chris wins if the sum of the two dice is 5, at which point the game is over. If the game allows Chris three rolls in an attempt to win, what is the probability that Chris will win?
Choices:
17/36
217/729
11/36
25/216
Answer: B
Question: How many 3 digit numbers are completely divisible 6 ?
Choices:
148
150
152
None of these
Answer: B
Question: David invested certain amount in three different schemes. A, B and C with the rate of interest 10% p.a., 12% p.a. and 15% p.a. respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in scheme C was 150% of the amount invested in scheme A and 240% of the amount invested in scheme B, what was the amount invested in scheme B?
Choices:
5000
5006
5026
5002
Answer: A
Question: The total age of A and B is 16 years more than the total age of B and C. C is how many year younger than A
Choices:
16
13
14
15
Answer: A
Question: Call a number parents if it is composite but not divisible by 2, 3, or 5. The three smallest guardian numbers are 49, 77, and 91. There are 168 prime numbers less than 1000. How many parent numbers are there less than 1000?
Choices:
b) 97
c) 100
d) 106
e) 108
Answer: B
Question: 0.003 * 0.5 = ?
Choices:
0.0015
0.015
0.15
None of these
Answer: A
Question: What is the next number: 3, 18, 258, __
Choices:
3638
4098
4418
5378
Answer: B
Question: What is remainder of the division (1525*1527*1529)/12?
Choices:
1
2
3
4
Answer: C
Question: Andrew found $10 while cleaning his car. He found 15 quarters, 22 dimes, 5 pennies and 4 dollar bills. What % of the total amount he found were made up of coins?
Choices:
90 %
85 %
70 %
60 %
Answer: D
Question: One water pump can fill half of a certain empty tank in 8 hours. Another pump can fill half of the same tank in 8.5 hours. Working together, how long will it take these two pumps to fill the entire tank?
Choices:
1 5/8
3 1/4
8 8/33
3 1/2
Answer: C
Question: What is the measure of the radius of the circle inscribed in a triangle whose sides measure 8, 15 and 27 units?
Choices:
6 units
3 units
5 units
2 units
Answer: D
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 5 p.c?
Choices:
38000
38028
38289
380787
Answer: A
Question: The C.I. on a certain sum for 2 years Rs.41 and the simple interest is Rs.40. What is the rate percent?
Choices:
5%
6%
2%
7%
Answer: A
Question: If x + 1/x = 2 then find x2 + 1/x2
Choices:
2
3
4
5
Answer: A
Question: The average of numbers 0.34204, 0.34203, 0.34202 and 0.34201 is ?
Choices:
0.34204
0.342022
0.342025
None
Answer: C
Question: Mary got a weekly raise of $384. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
Choices:
384
364
394
354
Answer: A
Question: A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most ?
Choices:
199
215
168
167
Answer: B
Question: A company has 2 directors and 5 managers. How many different committees with 5 people can be chosen having at least 1 director?
Choices:
720
4500
20
55
Answer: C
Question: What should come in place of the question mark in the following questions?
?⁄24 = 72⁄√?
Choices:
16
114
144
None of these
Answer: C
Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 165 m long?
Choices:
99
88
77
42
Answer: D
Question: The line K represented by which of the following equation does not intersect with the line represented by y = 3x^2+5x+1
Choices:
y = x^2+5x+2
y = 3x^2+5x+2
y = 3x^2+7x+2
y = x^2+7x+1
Answer: B
Question: A town's oldest inhabitant is x years older than the sum of the ages of the Lee triplets. If the oldest inhabitants is now J years old, how old will one of the triplets E be in 20 years?
J-X-40/3 is my answers.
J = X + L + L + L is the initial situation
After 20 years
J + 20 = X + L + L + L + 60 ...20 years for each triplet so 60 years totally.
J - X - 40/ 3 = L is my answer.
What wrong am i doing ? Since the age asked is after 20 years i also consider adding 20 years to J .
Choices:
3(J + 20)/x
(J + x - 50)/3
(J - x + 60)/3
(J + x - 20)/3
Answer: C
Question: Circular gears P and Q start rotating at the same time at constant speeds. Gear P makes 10 revolutions per minute and Gear Q makes 40 revolutions per minute. How many seconds after the gears start rotating will gear Q have made exactly 5 more revolutions than gear P?
Choices:
8
10
12
15
Answer: B
Question: If n is an integer greater than 5, which of the following must be divisible by 3?
Choices:
2. n (n+2) (n-1)
3. n (n+3) (n-5)
4. n (n+4) (n-2)
5. n (n+5) (n-6)
Answer: D
Question: What is the least number should be added to 1056, so the sum of the number is completely divisible by 29?
Choices:
17
37
47
57
Answer: A
Question: If a is an integer, what is the greatest possible value for a that would still make the following statement true: 11*10^a < 1/10 ?
Choices:
–3
–2
–1
0
Answer: A
Question: The average expenditure of the hotel when there are 10 guests is Rs. 60 per guests and the average expenditure is Rs.40 when there are 20 Guests. If it is known that there are some fixed expenses irrespective of the number of guests then the average expenditure per guest whe there are 40 guests in the hotel?
Choices:
Rs.30
Rs.31
Rs.39
Rs.12
Answer: A
Question: If x - 2 < 8 and x + 6 > 4, which of the following inequalities expresses all possible values of x?
Choices:
4 < x < 8
-2 < x < 10
-4 < x < 8
-8 < x < 4
Answer: B
Question: Glen is having his big family over for Christmas. Out of 25 people coming, 40 percent are lactose intolerant and 72% are vegetarians. Glen wants to prepare the good in advance. Can you calculate how many of the guests are both vegetarians and lactose intolerant?
Choices:
2
3
4
5
Answer: B
Question: How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?
Choices:
12.0
12.1
12.3
12.2
Answer: A
Question: A bag contains 8 red and 3 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Choices:
2/3
8/11
1/4
5/7
Answer: B
Question: Each term of a certain sequence is 3 less than the previous term. The first term of this sequence is 18. If the sum of the first n terms of the sequence is n, what is the value of positive integer n?
Choices:
13
15
19
47
Answer: B
Question: A shopkeeper bought 150 calculators at the rate of 250 per calculator.He spent 2500 on transportation and packing. If the marked price of calculator is 320 per calculator and the shopkeeper gives a discount of 5% on the marked price then what will be the percentage profit gained by the shopkeeper?
Choices:
14%
15%
16%
None of these
Answer: A
Question: The 20th term of the series a, b , b, c, c, c, d, d, d, d, e, e, e, e, e, .... is
Choices:
b
c
d
e
Answer: D
Question: After decreasing 50% in the price of an article costs Rs.620. Find the actual cost of an article?
Choices:
1240
1200
1100
1500
Answer: A
Question: A researcher computed the mean, the median, and the standard deviation R for a set of performance scores. If 5 were to be added to each score, which of these three statistics would change?
Choices:
The median only
The standard deviation only
The mean and the median
The mean and the standard deviation
Answer: C
Question: Ben is driving on the highway at y miles per hour. (One mile equals 5,280 feet.) Ben's tires have a circumference of x feet. Which of the following expressions gives the number of revolutions each wheel turns in one hour?
Choices:
5,280(y/x)
5,280(xy)
5,280/(xy)
(xy)/5,280
Answer: A
Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 20 seconds. Its length is?
Choices:
876 m
251 m
300 m
145 m
Answer: C
Question: If x dollars is invested at 10 percent for one year and y dollars is invested at 8 percent for one year, the annual income from the 10 percent investment will exceed the annual income from the 8 percent investment by $92. If $2,000 is the total amount invested, how much is invested at 8 percent?
Choices:
$600
$800
$900
$1000
Answer: A
Question: A grocer has a sale of Rs. 5435, Rs. 5927, Rs. 5855, Rs. 6230 and Rs. 5562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 5500?
Choices:
5991
3991
6542
6995
Answer: B
Question: P is faster than Q. P and Q each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, P's speed is equal to ?
Choices:
4 km/hr
6 km/hr
5 km/hr
3 km/hr
Answer: A
Question: John got Rs.6000 as his share out of a total profit of Rs.9000 which he and Rick earned at the end of one year. If John invested Rs.20,000 for 6 months, where as Rick invested his amount for the whole year, what was the amount invested by Rick?
Choices:
3500
4500
5000
5500
Answer: C
Question: What is the greatest value of positive integer x such that 2^x is a factor of 100^70?
Choices:
140
130
150
160
Answer: A
Question: A certain factory employed 600 men and 400 women and the average wager was Rs. 25.50 per day, If a woman got Rs. 5 less than a man, then what are their daily wages ?
Choices:
M :27.50 w:22.50
M :27.50 w:22.51
M :27.50 w:22.53
M :27.50 w:22.66
Answer: A
Question: Two good train each 100 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km / hr and 30 km /hr respectively. Find the time taken by the slower train to pass the driver of the faster one.
Choices:
2.4 sec
4.8 sec
9.6 sec
None
Answer: C
Question: If PINTU is coded as 79523 in a certain code language, how would you code JUMBO in the same language?
Choices:
13426
13436
14263
15263
Answer: A
Question: A person crosses a 800 m long street in 6 minutes. What is his speed in km per hour?
Choices:
8.0 km/hr.
7.2 km/hr.
3.2 km/hr.
4.2 km/hr.
Answer: A
Question: Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 100 players took part in that tournament.
How many matches were played?
Choices:
79 matches
69 matches
99 matches
59 matches
Answer: C
Question: The average age of 5 boys is 25 years and their ages are in the proportion 3:5:7. The age of the youngest boy is?
Choices:
15years
20years
25years
18years
Answer: C
Question: What is the least integer that is a sum of four different prime numbers?
Choices:
17
19
21
23
Answer: A
Question: The value of x + (xx) when x = 2 is:
Choices:
B)6
C)18
D)64
E)10
Answer: A
Question: A tradesman by means of his false balance defrauds to the extent of 40%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Choices:
47%
84%
96%
43%
Answer: C
Question: Ramesh purchased a refrigerator for Rs. 12500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 10% if no discount was offered?
Choices:
12789
27108
17600
18291
Answer: C
Question: If a number is chosen at random from the set {1, 2, 3, ...., 100}, then the probability that the chosen number is a perfect cube is ?
Choices:
1/25
1/27
1/24
1/22
Answer: A
Question: an article with cost price of 192 is sold at 25% profit. what is the selling price?
Choices:
200
204
240
210
Answer: C
Question: A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.50 per kg. What will be his gain percent?
Choices:
6 1/6 %
8 1/3 %
20 %
10%
Answer: B
Question: What quadrants do the line y = 2x - 4 go through?
Choices:
1 and 3
1 and 4
1,2 and 3
1,3 and 4
Answer: D
Question: January 13, 2016, fell on a Wednesday. On which day of the week did June 25, 2016, fall? (Note: 2016 was a leap year.)
Choices:
Tuesday
Thursday
Friday
Saturday
Answer: D
Question: Anand and Deepak started a business investing Rs. 20,500 and Rs. 30,000 respectively. Out of a total profit of Rs. 13,000, Deepak's share is?
Choices:
Rs. 8900
Rs. 8400
Rs. 7722.8
Rs. 8440
Answer: C
Question: If A, B and C together can finish a piece of work in 4 days. A alone in 12 days and B in 18 days, then C alone can do it in?
Choices:
3 days
9 days
8 days
2 days
Answer: B
Question: For each month of a given year except December, a worker earned the same monthly salary and donated one-tenth of that salary to charity. In December, the worker earned N times his usual monthly salary and donated one-fifth of his earnings to charity. If the worker's charitable contributions totaled one-seventh of his earnings for the entire year, what is the value of N?
Choices:
33/4
29/4
27/4
25/4
Answer: A
Question: The number of circles that can be drawn out of 10 points of which 7 are collinear is
Choices:
85
45
72
82
Answer: A
Question: A number is increased by 11% and then reduced by 10%. After these operations, the number :
Choices:
decreases by 1%
increases by 1%
increases by 0.1%
None of these
Answer: A
Question: Bruno and Sacha are running in the same direction around a stadium. Sacha runs at a constant speed of 7 meters per second, and Bruno runs at a constant speed of 5 meters per second. At a certain point Sacha overtakes Bruno. If one minute afterward, Sacha stops and waits for Bruno to reach him, then how many seconds does he have to wait?
Choices:
24
36
60
72
Answer: A
Question: If the simple interest on a certain amount in at 4% rate 5 years amounted to Rs.2160 less than the principal. What was the principal?
Choices:
2500
2700
3200
11500
Answer: B
Question: 39! is divided by 41. Then what is the remainder for this?
Choices:
1
5
6
7
Answer: A
Question: 4x − 12 = 4y
5y + 5x = 15
Which of the following is the number of solutions to the system of equations shown above?
Choices:
Exactly three
Exactly two
Exactly one
None
Answer: C
Question: 4840÷8÷4=?
Choices:
151
189
134
167
Answer: A
Question: Three workers have a productivity ratio of 1 to 2 to 6. All three workers are working on a job for 4 hours. At the beginning of the 5th hour, the slowest worker takes a break. The slowest worker comes back to work at the beginning of the 9th hour and begins working again. The job is done in ten hours. What was the ratio of the work performed by the fastest worker as compared to the slowest?
Choices:
10 to 1
5 to 1
1 to 6
1 to 5
Answer: A
Question: Someone on a skateboard is traveling 5 miles per hour. How many feet does she travel in 45 seconds? (1 mile = 5280 feet)
Choices:
400 ft
410.05 ft
329.85 ft
420.85 ft
Answer: C
Question: In Set T, the average (arithmetic mean) equals the median T. Which of the following must be true?
I. Set T consists of evenly spaced numbers.
II. Set T consists of an odd number of terms.
III. Set T has no mode.
IV. None of the above.
Choices:
I and II
II and III
I, II, and III
IV only
Answer: D
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 120 m and they cross each other in 12 sec, then the speed of each train is?
Choices:
76 km/hr
36 km/hr
45 km/hr
41 km/hr
Answer: B
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 90 kmph. After how much time will the trains meet?
Choices:
20/4 sec
5/2 sec
22/7 sec
60/7 sec
Answer: B
Question: A train is running at a speed of 40 km/hr and it crosses a post in 19.8 seconds. What is the length of the train?
Choices:
160 metres
200 metres
220 metres
250 metres
Answer: C
Question: Jack and Jill are marathon runners. Jack can finish a marathon (42 km) in 3.5 hours and Jill can run a marathon in 4.2 hours.What is the ratio of their average running speed? (Jack: Jill)
Choices:
15/14
4/5
6/5
Cannot be determined
Answer: C
Question: In the equation ax^2 + bx + c = 0 a, b, and c are constants, and abc # 0. If one root of the equation is -2, and b = 10a then which of the following is c equal to?
Choices:
a/8
6a
8a
16a
Answer: D
Question: Rahim bought 52 books for Rs.1200 from one shop and 32 books for Rs.480 from another. What is the average price he paid per book ?
Choices:
s.18
s.12
s.20
s.10
Answer: C
Question: John walks to a viewpoint and returns to the starting point by his car and thus takes a total time of 8 hours 40 minutes. He would have gained 2 hours by driving both ways. How long would it have taken for him to walk both ways.
Choices:
10 h 40 min
9 h 40 min
11 h 45 min
8 h 25 min
Answer: A
Question: A number, y is chosen at random from the set of positive integers from 1 to 9. What is the probability that (9/y) > y?
Choices:
2/9
1/3
2/3
7/9
Answer: A
Question: Find the area of a parallelogram with base 24 cm and height 10 cm?
Choices:
240 cm2
279 cm2
200 cm2
297 cm2
Answer: A
Question: What is the 21th digit to the right of the decimal point in the decimal expansion of 1/37?
Choices:
2
4
7
9
Answer: C
Question: Let f(x) = ax2 - b|x|, where a and b are constant. Then at x =0, f(x) is
Choices:
maximized whenever a>0, b<0
minimized whenever a>0, b>0
minimized whenever a>0, b<0
None of these
Answer: C
Question: In a certain game, you perform three tasks. You flip a coin, and success would be heads. You roll a single dice, and success would be a point. You pick a card from a full playing-card deck, and success would be picking a spades card. If exactly one of these three tasks is successful, then you win the game. What is the probability of winning?
Choices:
15/32
23/48
14/36
17/56
Answer: B
Question: Ragu purchased a refrigerator and a mobile phone for Rs. 20000 and Rs. 10000 respectively. He sold the refrigerator at a loss of 5 percent and the mobile phone at a profit of 10 percent. Overall he make a.
Choices:
loss of Rs. 100
profit of Rs. 100
profit of Rs. 200
No loss No gain
Answer: D
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:
83.3%
18%
9%
6%
Answer: A
Question: A man can row a boat at 32 kmph in still water. If the speed of the stream is 8 kmph, what is the time taken to row a distance of 96 km downstream?
Choices:
12/5
12/6
12/7
12/8
Answer: A
Question: If all the sides of a right triangle increase in length by 8%, then by what percentage does the area of the triangle increase?
Choices:
16.64%
24.32%
32.84%
36.16%
Answer: A
Question: 3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
Choices:
56%
57%
70%
72%
Answer: B
Question: A shopkeeper cheats to the extent of 10% while buying and selling, by using false weights. His total gain is.
Choices:
21
8
9
81
Answer: A
Question: The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
Choices:
2778
2608
4530
2001
Answer: C
Question: 3500 – (1000 ÷ 20.50) is equal to :
Choices:
3451.21
2993.03
2984.36
None of these
Answer: A
Question: If two balls are randomly selected from a green urn containing 6 black and 6 white balls and placed into a yellow urn initially containing 5 black and 3 white balls. What is the probability that the yellow urn will contain an equal number of black and white balls after the change?
Choices:
B.4/9
C.5/9
D.1/3
E.5/22
Answer: D
Question: In a system of coding ACCESS is coded CEEGUU, POINTFF as HHKPQRV, LIMERICK as EGKKMNOT and LAMINATE as CCGKNOPV
Waht is likely to be the word of which the code is COTUV?
Choices:
PARTS
SMART
SMARR
None of the above
Answer: D
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 kmph
6 kmph
8 kmph
2 kmph
Answer: A
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 800 grams per kg, what is his percent?
Choices:
25%
11%
20%
15%
Answer: A
Question: The banker’s discount on Rs. 1600 at 15% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. The time is :
Choices:
4 months
6 months
7 months
None
Answer: A
Question: Simplfy
b - [b -(a+b) - {b - (b - a+b)} + 3a]
Choices:
-a
4a
0
1
Answer: A
Question: If a × b = 2a - 3b + ab, then 3 × 5 + 5 × 3 is equal to :
Choices:
22
24
25
26
Answer: A
Question: If A,BCD is a four-digit positive integer such that A,BCD is equal to the product of the two-digit number AB and the three digit number ABC, which of the following two-digit numbers cannot be a factor of A,BCD? (Note: the first digit of a number cannot be equal to 0.)
I. AD
II. CD
III. CA
Choices:
II only
III only
II and III only
I, II, and III
Answer: B
Question: If the cost price of 50 articles is equal to the selling price of 45 articles, then the gain or loss percent is?
Choices:
11.11
78
33
25
Answer: A
Question: The mass of the sun is approximately 2 × 10^20 kg and the mass of the moon is approximately 8 × 10^12 kg. The mass of the sun is approximately how many times the mass of the moon?
Choices:
2.5 × 10^17
2.5 × 10^7
2.5 × 10^19
4.0 × 10^42
Answer: B
Question: If seven machines working at the same rate can do 3/4 of a job in 30 minutes, how many minutes would it take two machines working at the same rate to do 3/5 of the job?
Choices:
60
75
84
100
Answer: C
Question: 3 friends A, B, C went for week end party to McDonald’s restaurant and there they measure there weights in some order In 7 rounds. A, B, C, AB, BC, AC, ABC. Final round measure is 160kg then find the average weight of all the 7 rounds?
Choices:
91.4 kgs
86.5 kgs
67.5 kgs
88.2 kgs
Answer: A
Question: The average monthly income of P and Q is Rs. 5100. The average monthly income of Q and R is 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is?
Choices:
A)Rs.4050
C)Rs.4029
D)Rs.4027
E)Rs.4020
Answer: A
Question: The total weight of nine nougat nuggets is 7 oz. What is the average (arithmetic mean) weight of one such nougat nugget?
Choices:
0.5 oz.
1.8 oz.
0.77 oz.
18 oz
Answer: C
Question: If x is the sum of six consecutive integers, then x is divisible by which of the following: I. 6 II. 7 III. 3
Choices:
I only
I,II only
II,III only
III only
Answer: D
Question: If t>0, which of the following must be true?
Choices:
0 < t < 2
-1 < t < 1
-10 < t
1/100 < t
Answer: C
Question: X and Y invested in a business. They earned some profit which they divided in the ratio of 2 : 4. If X invested Rs.40,000. the amount invested by Y is
Choices:
Rs.50,000
Rs.60,000
Rs.80,000
None
Answer: C
Question: In an office, totally there are 800 employees and 25% of the total employees are males. 40% of the males in the office are at-least 50 years old. Find the number of males aged below 50 years?
Choices:
120
132
130
None of these
Answer: A
Question: A man in a train travelling at 20km/hr notices that a train going in the opposite direction passes him in 5 sec.If the length of this train is 140m find its speed .
Choices:
40 km/hr
81 km/hr
60 km/hr
70 km/hr
Answer: B
Question: If 1 + x^4 + x^3 + x^2 + x = 80, then the average (arithmetic mean)W of x, x^2, x^3, x^4 and x^5 is equal to which of the following?
Choices:
13x
14x
16x
20x
Answer: C
Question: A man took loan from a bank at the rate of 4 % p.a. S.I. After 10 years he had to pay Rs. 2000 interest only for the period. The principal amount borrowed by him was?
Choices:
5000
3200
6000
1592
Answer: A
Question: A man can row a distance of 6 km in 60 min with the help of the tide. The direction of the tide reverses with the same speed. Now he travels a further 20 km in 10 hours. How much time he would have saved if the direction of tide has not changed?
Choices:
8
1
6:41
5
Answer: C
Question: A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth?
Choices:
12000
12028
12020
12013
Answer: A
Question: A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
Choices:
104.12 m.
111.12 m.
211.12 m.
132.12 m.
Answer: B
Question: List Z consists of 12 consecutive integers. If -4 is the least integer in list Z, what is the range of positive integers in list Z?
Choices:
6
7
11
12
Answer: A
Question: An automotive test consisted of driving a car the same distance three separate times, first at an average rate of 40 miles per hour, then 50 miles per hour, then 60 miles per hour. If the test took 111 hours to complete, how many miles was the car driven during the entire test?
Choices:
5400
5500
5600
5300
Answer: A
Question: The y intercept of a line L is 8. If the slope of L is negative, which of the following could be the x intercept of L.
I. -1
II. 0
III. 6
Choices:
II only
III only
I and II
I and III
Answer: B
Question: A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets into it. The mass of the man is ?
Choices:
60 kg
77 kg
55 kg
47 kg
Answer: A
Question: A larger cube has 8 cubic inch as a volume and in the cube there are 8 smaller cubes such that their volume is 1 cubic inch. What is the difference between the surface areas’ sum of the 8 smaller cubes and the surface area of the larger cube, in square inch?
Choices:
24
81
108
120
Answer: A
Question: A certain club has 11 members, including Harry. One of the 11 members is to be chosen at random to be the president, one of the remaining 10 members is to be chosen at random to be the secretary, and one of the remaining 9 members is to be chosen at random to be the treasurer. What is the probability that Harry will either be the secretary or the member chosen to be the treasurer?
Choices:
2/11
3/11
5/11
8/11
Answer: A
Question: In how many ways can the letters of the word "PROBLEC" be rearranged to make 7 letter words such that none of the letters repeat?
Choices:
5!
7!
8!
9!
Answer: B
Question: Tub A and tub B contain 540 liters of water each. Every minute tub A loses 25 liters of water while tub B loses 15 liters. If in X minutes tub B will contain 6 times as much water as tub A, what is X?
Choices:
20
25
30
40
Answer: A
Question: Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Choices:
17 1/6
17 1/7
17 1/1
17 1/2
Answer: B
Question: There are 35 students in a hostel. If the no. of students increases by 11, the expenses of the mess increase by Rs.42/day while the average expenditure per head diminishes by Rs1. Find the original expenditure of the mess?
Choices:
240
242
245
280
Answer: D
Question: Find the number which is nearest to 3105 and is exactly divisible by 21.
Choices:
3108
241
217
3147
Answer: A
Question: Raj is working on a set of Data Sufficiency problems for his December GMAT: a geometry problem, an algebra problem, and a data interpretation problem. He has determined that statement 1 of the geometry problem is insufficient on its own, that both statement 1 and 2 of the algebra problem are insufficient on their own, and that statement 2 of the data interpretation problem is insufficient on its own. If the probabilities are expressed as percents Q, approximately how much greater is the probability that all three answers are “C” after Raj figures out that statement 1 of the data interpretation problem is also insufficient on its own?
Choices:
Q=2.8%
Q=3.3%
Q=5.6%
Q=8.3%
Answer: A
Question: A 5% stock yields 10%. The market value of the stock is:
Choices:
Rs.55
Rs.50
Rs.90
Rs.75
Answer: B
Question: If two numbers are in the ratio 2:3. If 5 is subtracted from both of the numbers then the ratio becomes 3:4 then find the smallest number?
Choices:
10
20
40
90
Answer: A
Question: The average of numbers 0.44204, 0.44203, 0.44202 and 0.44201 is ?
Choices:
0.44204
0.442022
0.442025
None
Answer: C
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:
178 m
245 m
187 m
176 m
Answer: B
Question: How long does a lorry 200 m long traveling at 80 kmph takes to cross a bridge of 200 m in length?
Choices:
17
15
16
18
Answer: D
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 896 grams per kg, what is his percent?
Choices:
25%
77%
99%
11.6%
Answer: D
Question: Walking 7/6 of his usual rate, a boy reaches his school 4 min early. Find his usual time to reach the school?
Choices:
87
66
28
61
Answer: C
Question: In a classroom, the average age of boys (b) is g and the average age of girls (g) is b. The average age of all is b+g. At the time of calculation, the class teacher, who is 42 years old was also present in the class. Can you find the value of b+g?
Choices:
8
7
9
10
Answer: A
Question: 6 friends visited a book stall and brought 6 books, and everyone decided to contribute equally to the total bill of $400. If one of the friends had a coupon for 5% off the total bill, and if each friend still contributed equally after the coupon was applied to the bill, how much did each friend pay?
Choices:
63
63.33
64
65
Answer: B
Question: The average age of seven persons sitting in a row facing east is 28 years. If the average age of the first three persons is 21 years and the average age of the last three persons is 34 years, then find the age of the person sitting in the middle of the row?
Choices:
31 years
45 years
13 years
15 years
Answer: A
Question: Bob wants a bunch of bananas and insists that the bunch contains a prime number of bananas. The bunches contain the following number of bananas. Which bunch should Bob buy?
Choices:
5
6
8
9
Answer: A
Question: Two trains travelling in the same direction at 58 and 22 kmph completely pass off another in 1 minute. If the length of the first train is 110 m, what is the length of the second train?
Choices:
110 m
600 m
490 m
710 m
Answer: C
Question: By selling an umbrella for Rs. 300, a shopkeeper gains 20%. During a clearance sale, the shopkeeper alows a discount of 10% on the marked price. His gain percent during the sale is :
Choices:
7
8
9
10
Answer: B
Question: Which among the following represents a sum of 3 consecutive even integers?
Choices:
303
400
564
571
Answer: C
Question: The probability that A speaks truth is 4/5 and that of B speaking truth is 3/4. What is the probability that they agree in stating the same fact?
Choices:
12/35
9/10
19/35
None of these
Answer: B
Question: For each hour of production, a certain factory requires 1 assembly line worker for every 25 units to be produced in that hour. The factory also requires 10 managers regardless of the number of units to be produced. Which of the following expressions represents the total number of assembly line workers and managers that this factory requires to produce 50N in one hour, where N is a positive integer?
Choices:
12 + 2N
10 + 2N
37N
25
Answer: B
Question: The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8% p.a. was Rs.2828.80. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned
Choices:
19828.8
19828.87
19828.81
19828.82
Answer: A
Question: Income of A is 25% more than the income of B. What is the income of B in terms of income of A?
Choices:
80%
82
27
81
Answer: A
Question: A solution is made of water and pure acid. If 75% of the solution is water, how many litters of pure acid are in 20 litters of this solution?
Choices:
35
27
5
13
Answer: C
Question: Find compound interest on $ 16000 at 15% per annum for 2 years 4 months, compounded annually.
Choices:
6209
6218
6107
6100
Answer: B
Question: sue has 3 apples. Billy has 10 apples. If billy steals all of sues apples and eats 4 how many does he have left?
Choices:
5
6
4
9
Answer: D
Question: Tough and Tricky questions: Exponents.
If 3^m3^m3^m = 7^n, then m/n =
Choices:
1/3
1
3/2
3
Answer: A
Question: What is the ratio of y to x if (x + 3y) / ( x - y) = 3/7?
Choices:
-1/6
-1/15
3/5
15/1
Answer: A
Question: If x : y = 3 : 5, find the value of (2x + 4y) : (3x – y)
Choices:
13 : 2
13 : 3
13 : 4
13 :5
Answer: A
Question: If n is a positive integer and the product of all integers from 1 to n, inclusive, is a multiple of 840, what is the least possible value of n?
Choices:
6
7
8
9
Answer: B
Question: What is the median from the below series 90, 93, 93, 88, 95, 88, 97, 87, and 98
Choices:
85
93
97
100
Answer: B
Question: Rs. 1300 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4?
Choices:
300
99
88
67
Answer: B
Question: On a race track a maximum of 5 horses can race together at a time. There are a total of 25 horses. There is no way of timing the races. What is the minimum number R of races we need to conduct to get the top 3 fastest horses?
Choices:
7
8
10
11
Answer: A
Question: Calculate the value of n from the below equation: y^4âˆ’20y+1=22
Choices:
3
6
2
1
Answer: A
Question: Find the area of trapezium whose parallel sides are 18 cm and 12 cm long, and the distance between them is 14 cm?
Choices:
277 cm2
224 cm2
226 cm2
227 cm2
Answer: B
Question: A and B’s salaries together amount to Rs. 2,000. A spends 95% of his salary and B spends 85% of his. If now their savings are the same, what is A’s salary?
Choices:
Rs.750
Rs.1250
Rs.1500
Rs.1520
Answer: C
Question: The sum of the two numbers is 12 and their product is 35.What is the sum of the reciprocals of these numbers?
Choices:
12/35
12/31
12/32
12/33
Answer: A
Question: Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 70 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choices:
36
48
99
23
Answer: A
Question: In N is a positive integer less than 200, and 14N/60 is an integer, then N has how many different positive prime factors A?
Choices:
3
5
6
8
Answer: A
Question: The population of a village is 13400. It increases annually at the rate of 21% p.a. What will be its population after 2 years?
Choices:
12000
19619
18989
14400
Answer: B
Question: Speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. A man rows to place at a distance of 210 km and comes back to the starting point. The total time taken by him is:
Choices:
24 hours
36 hours
48 hours
None
Answer: C
Question: Lucy invested $10,000 in a new mutual fund account exactly three years ago. The value of the account increased by 10 percent during the first year, increased by 7 percent during the second year, and decreased by 10 percent during the third year. What is the value of the account today?
Choices:
$10,395
$10,593
$11,500
$12,705
Answer: B
Question: What is the sum of all three digit integers formed using the digits 3,4 and 5 (repetition is allowed)
Choices:
11984
11985
11988
11986
Answer: C
Question: What is the remainder when 7^74 - 5^74 is divided by 12?
Choices:
0
2
3
None of these
Answer: A
Question: 40 persons like apple. 7 like orange and mango dislike apple. 10 like mango and apple and dislike orange. 4 like all. How many people like apple?
Choices:
47
54
58
62
Answer: A
Question: Which of the following numbers is divisible by 12?
Choices:
1332
3221
4211
3233
Answer: A
Question: An advertising agency finds that, of its 200 clients, 115 use Television, 110 use Radio and 130 use Magazines. Also, 85 use Television and Magazines, 75 use Television and Radio, 95 use Radio and Magazines. How many use all the three?
Choices:
100
90
98
95
Answer: A
Question: A rectangular room has the rectangular shaped rug shown as above figure such that the rug’s area is 180 square feet and its length is 8 feet longer than its width. If the uniform width between the rug and room is 8 feet, what is the area of the region uncovered by the rug (shaded region), in square feet?
Choices:
36
704
46
104
Answer: B
Question: Gita, Hussain, Inge, Jeong, Karen, and Leila are seated in a row of six chairs. How many seating arrangements are possible if Gita cannot sit next to Inge and Jeong must sit next to Leila?
Choices:
240
144
120
96
Answer: B
Question: How many such pairs of digits are there in the number 421579368 each of which has as many digits between them in the number as when they are arranged in ascending order?
Choices:
5
6
3
1
Answer: C
Question: Anna left for city A from city B at 5.20 a.m. She traveled at the speed of 80 km/hr for 2 hrs 15 min. After that the speed was reduced to 60 km/hr. If the distance between two cities is 350 kms, at what time did Anna reach city A?
Choices:
10.27
10.25
10.23
60.25
Answer: D
Question: If the speed of a man is 63 km per hour, then what is the distance traveled by him in 25 seconds ?
Choices:
360m
375 m
437.5 m
440 m
Answer: C
Question: What is the product of the greatest 2 digit multiple of 3 and the greatest 2 digit prime number?
Choices:
9,603
9,506
9,649
9,702
Answer: A
Question: If X is the sum of first 30 positive even integers and Y is the sum of first 30 positive odd integers, what is the value of x-y?
Please try to explain your answers
Choices:
25
30
75
100
Answer: B
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:
4 days
4 days
6 days
7 days
Answer: C
Question: What is the units digit of 33^2 * 17^3 * 49^3?
Choices:
3
5
7
9
Answer: A
Question: 10x + 2y = -6
6x + y = 1
In the system of equations above, what is the value of x?
Choices:
3
4
5
6
Answer: B
Question: There are 9color balls at a row. From that how many ways can 9 different color balls be arranged in a row so that black, white, red and green are never together?
Choices:
546563
567343
566748
345600
Answer: D
Question: In how many ways can the letters of wordINTELLIGENTbe arranged such that all the Consonants always appear together?
Choices:
5!*4!
5!*5!
5!*7!
6!*4!
Answer: C
Question: In a garden , there are 10 rows and 12 columns of mango trees. the distance between the two trees is 2 m and a distance of one meter is left from all sides of the boundary of the length of the garden is :
Choices:
460 sq mtrs
480 sq mtrs
490 sq mtrs
470 sq mtrs
Answer: B
Question: Caleb and Frank are partners in a business. Caleb runs the business and receives 8% of the profit for managing the business, the rest is divided in proportion of their capitals. Caleb invested Rs.5000 and Frank invested Rs.10000. the rest is divided in proportion of their capitals. Out of a total profit of Rs.6000, how much did Caleb receive?
Choices:
3097.6
1097.6
5097.6
2097.6
Answer: D
Question: 34.	The side surface of a cylinder can is rolled with a rectangular plate. If the height of a cylinder tank is 8 feet and the perimeter of the circular base Is 6 feet, what is the diagonal of the rectangular plate?
Choices:
10
8
14
9
Answer: A
Question: A car finishes a journey in ten hours at the speed of 60 km/hr. If the same distance is to be covered in eight hours how much more speed does the car have to gain?
Choices:
10 km/hr
12 km/hr
16 km/hr
None of these
Answer: C
Question: If a randomly selected positive single digit multiple of 3 is multiplied by a randomly selected prime number less than 20, what is the probability W that this product will be a multiple of 45?
Choices:
1/28
1/24
1/16
1/14
Answer: B
Question: If the money was put in for the same duration of time by A,B and C, three business partners and four times A’s capital is equal to 6 times B’s capital is equal to 10 times C’s capital. Determine that out of a total profit of Rs 4650 what is C’s share?
Choices:
Rs 906
Rs 900
Rs 905
Rs 901
Answer: B
Question: Which of the following is equal to (x-1)!/(x-2)!?
Choices:
1+(1/x)
1
x+1
x-1
Answer: D
Question: A sum was put at simple interest at a certain rate for 10 years . Had it been put at 5% higher rate , it would have fetched Rs.150 more. What was the Sum?
Choices:
s.130
s.140
s.150
s.300
Answer: D
Question: A cylindrical water tower with radius 14 m and height 20 m is 3/4 full at noon. Every minute, .08π m3 is drawn from tank, while .03π m3 is added. Additionally, starting at 1pm and continuing each hour on the hour, there is a periodic drain of 4π m3. From noon, how many hours will it take to drain the entire tank?
Choices:
420 6/7
421
421 3/7
420
Answer: D
Question: 50^51^52 /11
Choices:
6
7
3
5
Answer: A
Question: If there are only 2 wheelers and 4 wheelers parked in a school located at the heart of the city, find the number of 4 wheelers parked there if the total number of wheels is 66?
Choices:
12
13
16
17
Answer: C
Question: There are 5 married couples and a group of three is to be formed out of them; how many arrangements are there if a husband and wife may not be in the same group?
Choices:
75
80
85
90
Answer: B
Question: A bat is bought for Rs.400 and sold at a gain of 20% find its selling price
Choices:
Rs.470/-
Rs.480/-
Rs.500/-
Rs.520/-
Answer: B
Question: On dividing 181 by a number, the quotient is 9 and the remainder is 1. Find the divisor?
Choices:
B)15
C)16
D)17
E)20
Answer: D
Question: Renuka bought an electric drill at 90% of the regular price. She paid $450 for the drill. What was the regular price?
Choices:
$500
$300
$200
$100
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train?
Choices:
150 meter
167 meter
719 meter
169 meter
Answer: A
Question: X can finish a work in 25 days. Y can finish the same work in 20 days. Y worked for 12 days and left the job. how many days does X alone need to finish the remaining work?
Choices:
5
6
7
8
Answer: D
Question: A tap can fill a tank in 6 hours. After half the tank is filled three more similar taps are opened. What is the total time taken to fill the tank completely?
Choices:
3 hrs 45 min
3 hrs 42 min
3 hrs 65 min
3 hrs 35 min
Answer: A
Question: What percent of the different arrangements of the letters of the word AFACUT are those in which the vowels appear together?
Choices:
20%
30%
40%
50%
Answer: A
Question: How many bricks, each measuring 100 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?
Choices:
1600
5500
7400
3400
Answer: A
Question: The average (arithmetic mean) of the integers from 100 to 400, inclusive, is how much greater than the average of the integers from 50 to 250, inclusive?
Choices:
100
200
125
300
Answer: A
Question: If log10 2 = 0.3010, then log2 10 is equal to:
Choices:
1000/301
966/301
0.301
0.966
Answer: A
Question: The ages of Patrick and Michael are in the ratio of 3 : 5 and that of Michael and Monica are in the ratio of 3 : 5. If the sum of their ages is 98, what is the difference between the ages of Patrick and Monica?
Choices:
32
45
72
18
Answer: A
Question: At what rate percent per annum will the simple interest on a sum of money be 2/5 of the amount in 10 years?
Choices:
4%
64%
74%
94%
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
13√3
13√1
13√1
Answer: A
Question: Machine–A produces 40% of the total output and Machine-B produces 60% of the total output. An average of nine units out of a thousand goods manufactured by Machine-A and one unit of 200 units produced by Machine-B prove to be defective. What is the probability that a unit chosen at random from the total daily output of the factory is defective?
Choices:
0.06
0.0066
0.0006
6.0e-05
Answer: B
Question: Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is?
Choices:
1299
8400
2799
2698
Answer: B
Question: The area of a circle is four times its circumference. What is the diameter of the Circle?
Choices:
16
8
12
8π
Answer: A
Question: X starts a business with Rs.45000. Y joins in the business after 3 months with Rs.36000. What will be the ratio in which they should share the profit at the end of the year?
Choices:
20:9
3:2
2:3
5:3
Answer: A
Question: Sonika deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 1% more. She would get how much?
Choices:
9440
26667
1662
2882
Answer: A
Question: The square root of 64009 is:
Choices:
253
363
803
888
Answer: A
Question: QUANT 4-PACK SERIES Problem Solving Pack 4 Question 2 For every positive integer n...
For every positive integer n that is greater than 1, the function t(n) is defined to be the sum of all of the odd integers from 1 to n, inclusive. The t(n) could have any of the following units digits except…?
Choices:
2
4
6
9
Answer: A
Question: 10% of a number is added to 45, the result is the same number. Find the number?
Choices:
50
270
129
281
Answer: A
Question: Which of the following leads to the correct mathematical solution for the number of ways that the letters of the word BOOK could be arranged to create a four-letter code?
Choices:
4! − ( 2!)
4! − (3! × 2!)
4!/( 2!)
4!/(3! × 2!)
Answer: C
Question: A certain sum is invested at simple interest at 15% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 720. Find the sum?
Choices:
s. 9000
s. 14000
s. 12000
s. 27000
Answer: C
Question: In a group of 4 boys and 6 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be selected?
Choices:
155
175
195
215
Answer: C
Question: A committee is reviewing a total of 20x black-and-white films and 8y color films for a festival. If the committee selects y/x% of the black-and-white films and all of the color films, what fraction of the selected films are in color?
Choices:
40/41
30/41
60/41
80/41
Answer: A
Question: Complete the numerical series by replacing the question mark with the correct numbers.
5+3+2 = 151022
9+2+4 = 183652
8+6+3 = 482466
5+4+5 = 202541
9+5+5 = ??????
Choices:
454585
456685
454588
456585
Answer: A
Question: The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
Choices:
7
8
5
1
Answer: B
Question: The following list follows a peculiar pattern. Can you find it out and guess the next number?
2, 12, 36, 80, 150, 252, ?
Choices:
321
392
651
823
Answer: B
Question: If log1087.5 = 3.9421, then the number of digits in (875)10 is?
Choices:
28
27
50
25
Answer: C
Question: If a and b are positive integers, and a=5b+20, the greatest common divisor of a and b CANNOT be
Choices:
4
5
6
10
Answer: C
Question: The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?
Choices:
17 m
87 m
65 m
43 m
Answer: A
Question: Median C of price of the car is 52,000. which could be the median of the other two.
35000, 44000, x, y, 57000.
Choices:
47000
48000
51,000
56,000
Answer: D