mathewhe/aqua_rat huggingface dataset:
Question: Mr.Jones gave 40% of the money he had to his wife. he also gave 20% of the remaining amount to his 3 sons. half of the amount now left was spent on miscellaneous items and the remaining amount of Rs.12000 was deposited in the bank. how much money did Mr.jones have initially?
(A) 1000
(B) 10000
(C) 100
(D) 1
(E) 100000
Rationale: Let the initial amount with Mr.Jones be Rs.x
Then, (1/2)[100-(3*20)]% of x=12000
(1/2)*(40/100)*(60/100)*x=12000
x=((12000*25)/3)=100000
ANSWER E 100000
Answer: (E) 100000
Question: Find the no.of ways of arranging the boy and 6 guests at a circular table so that the boy always sits in a particular seat?
(A) 7!
(B) 6!
(C) 9!
(D) 10!
(E) 11!
Rationale: Ans.(B)
Sol. Total number of persons = 7 Host can sit in a particular seat in one way. Now, remaining positions are defined relative to the host. Hence, the remaining can sit in 6 places in 6P6 = 6! Ways ... The number of required arrangements = 6! x 1= 6! = 6! ways
Answer: (B) 6!
Question: Today is Monday. After 61 days, it will be:
(A) Tuesday
(B) Wednesday
(C) SATURDAY
(D) Thursday
(E) Friday
Rationale: If today is Monday ..after 7 days it will be monday..soo 56th day will be Monday..
57- Tues
58-Wed
59-Thurs
60-Fri
61- SATURDAY
ANSWER:C
Answer: (C) SATURDAY
Question: Each truck from Kanes Removal Company can haul 750 pounds of trash at a time.
On Wednesday the company has jobs to remove 1,500 pounds of trash from one
site, 750 from another site, and 3,000 from a third site. How many total pounds of
trash will be moved by Jones Company that day? How many trips will it take for the
Jones Company to remove all of the trash?
(A) 5500 lbs.-2 Trips
(B) 4500 lbs.-9 Trips
(C) 2500 lbs.-3 Trips
(D) 5250 lbs.-7 Trips
(E) 6500 lbs.-8 Trips
Rationale: Total trash = 1500+750+3000 = 5250
No. of trips = 5250/750 = 7
Answer : D
Answer: (D) 5250 lbs.-7 Trips
Question: A rectangular field is 52 yards long and 20 yards wide. A fence is needed for the perimeter of the
field. Fencing is also needed to divide the field into three square sections. How many feet of fencing
are needed? (It is a good idea to make a drawing for this one.)
(A) 552 ft
(B) 530 ft
(C) 430 ft
(D) 330 ft
(E) 230 ft
Rationale: 52 + 20 + 52 + 20 = 144 yds. for
outside of field.
20 + 20 = 40 yds. for dividing sections
144 + 40 = 184 yds. of fencing
184 x 3 = 552 ft. of fencing
correct answer A
Answer: (A) 552 ft
Question: A rectangular parking space is marked out by painting three of its sides. If the length of the unpainted side is 9 feet, and the sum of the lengths of the painted sides is 37 feet, then what is the area of the parking space in square feet ?
(A) 46
(B) 81
(C) 126
(D) 252
(E) None of these
Rationale: Solution
Clearly, we have : l = 9 and l + 2b = 37 or b = 14.
∴ Area = (l × b ) = (9 × 14 ) sq. ft. = 126 sq.ft. Answer C
Answer: (C) 126
Question: The principal that amounts to Rs. 4813 in 3 years at 6 1/4 % per annum C.I. compounded annually, is?
(A) s. 3096
(B) s. 4036
(C) s. 4085
(D) s. 4096
(E) s. 5096
Rationale: Principal = [4913 / (1 + 25/(4 * 100))3]
= 4813 * 16/17 * 16/17 * 16/17 = Rs. 4036.
ANSWER:B
Answer: (B) s. 4036
Question: In a family, there are six members A, B, C, D, E and F.
A and B are a married couple, A being the male member. D is the only son of C, who is the brother of A. E is the sister of D. B is the daughter-in-law of F, whose husband has died.
How many male members are there in the family ?
(A) 1
(B) 9
(C) 3
(D) 4
(E) 6
Rationale: Explanation:
A is a male and married to B. So, A is the husband and B is the wife. C is the brother of A. D is the son of C. E, who is the sister of D will be the daughter of C. B is the daughter-in-law of F whose husband has died means F is the mother of A.
A is a male. B. the wife, is female. C. the brother, is male. D. the son, is male. E, the sister, is female. F, the mother, is a female. So, there are three males.
Answer: C) 3
Answer: (C) 3
Question: If A's salary is 20% less than B's salary, by how much percentage is B's salary more than A's?
(A) 25%
(B) 15%
(C) 30%
(D) 32%
(E) 40%
Rationale: Required percentage = [100*20/(100-20)]% = 25%
Answer is A
Answer: (A) 25%
Question: In the manufacture of a certain product, 10 percent of the units produced are defective and 5 percent of the defective units are shipped for sale. What percent of the units produced are defective units that are shipped for sale?
(A) 0.25%
(B) 0.5%
(C) 0.75%
(D) 1.25%
(E) 2.5%
Rationale: 0.1*0.05 = 0.005 = 0.5%
The answer is B.
Answer: (B) 0.5%
Question: Cars emerging from a motorway arrive at a junction that splits the road into two separate lanes. The number of cars per hour that continue in either lane is constant. If 14 cars per hour were diverted from the left lane to the right lane, the number of cars entering the right lane per hour would be twice as big as the number of cars entering the left lane per hour. Alternatively, if 14 cars per hour were diverted from the right lane to the left lane, the number of cars entering the left lane per hour would be four times as great as the number of cars entering the right lane per hour. How many cars enter the left lane per hour?
(A) 14
(B) 22
(C) 20
(D) 21
(E) 23
Rationale: as per question 14 cars diverted from left lane to right lane. Thus we get equation R+14=2(L-14)
as per question 14 cars diverted from right lane to left lane .thus we get equation L+14=4(R-14)
by solving two equation i.e R +14 =2L-28 OR. R =2L -42 AND L+14= 4R -56 OR L= 4R -70
BY SOLVING WE GET L= 4( 2L -28) -35 OR L= 8L -112-35 OR 147 =7L THUS L =21
D
Answer: (D) 21
Question: (3x + 1) (2x - 5) = ax^2 + kx + n . What is the value of a - n + k ?
(A) 5
(B) 8
(C) 9
(D) 14
(E) 11
Rationale: Expanding we have 6x^2 - 15x + 2x -5
6x^2 - 13x - 5
Taking coefficients, a = 6, k= -13, n = -5
Therefore a - n + k = 6 - (-13) - 5 = 19 - 5 = 14
The answer is D.
Answer: (D) 14
Question: At a certain store, the price of a pair of shoes is twenty dollars more than three times the price of a pair of jeans and the price of a sweater is forty percent more than the price of a pair of shoes. If the price of a pair of jeans is j dollars at this store, then what is the price, in dollars, of a pair of shoes, a sweater and a pair of jeans, in terms of j ?
(A) 1.5j + 10
(B) 3j + 20
(C) 4.5j + 30
(D) 8.2j + 48
(E) 8.5j + 50
Rationale: Ans D
Given
Price of Jeans = J
Price of shoes = 20+3J
Price of Sweater = 1.5(20+3J)
Total Price of all three items = J+20+3J+1.4(20+3J) = 48+8.2J
Answer: (D) 8.2j + 48
Question: A trader bought a car at 5% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
(A) 118
(B) 133
(C) 112
(D) 113
(E) 115
Rationale: Original price = 100
CP = 95
S = 95*(140/100) = 133
100 - 133= 5%
Answer: B
Answer: (B) 133
Question: 0.009/x=0.01. find the value of X
(A) 0.0009
(B) 0.09
(C) 0.9
(D) 9
(E) 90
Rationale: x=0.009/0.01=0.9
ANSWER:C
Answer: (C) 0.9
Question: What is the next number of the following sequence
1,3,4,1,9...
(A) 14
(B) 15
(C) 16
(D) 17
(E) 18
Rationale: (1, 3 ,4) (1, 9, x)
square of 1st group gives 2nd group
1^2 = 1
3^2 = 9
4^2 = 16
ANSWER:C
Answer: (C) 16
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?
(A) 200 Sec
(B) 190 Sec
(C) 167 Sec
(D) 197 Sec
(E) 179 Sec
Rationale: L = S*T
S= 1200/120
S= 10 m/Sec.
Total length (D)= 1900 m
T = D/S
T = 1900/10
T = 190 Sec
Answer: B
Answer: (B) 190 Sec
Question: By selling 99 pens, a trader gains the cost of 33 pens. Find his gain percentage?
(A) 33 1/3%
(B) 33 1/0%
(C) 33 4/3%
(D) 31 1/3%
(E) 33 1/5%
Rationale: Let the CP of each pen be Rs. 1.
CP of 99 pens = Rs. 99
Profit = Cost of 33 pens = Rs. 33
Profit% = 33/99 * 100 = 33 1/3%
Answer:A
Answer: (A) 33 1/3%
Question: The profit earned by selling an article for Rs.832 is equal to the loss incurred when the same article is sold for Rs.448. What should be the sale price for making 50% profit?
(A) Rs.760
(B) Rs.860
(C) Rs.950
(D) Rs.960
(E) Rs.970
Rationale: Let C.P=Rs.x
Then 832-x=x-448
2x=1280-->x=640
150% of Rs.640=(150/100*640=Rs.960
Required S.P=Rs.960
ANSWER:D
Answer: (D) Rs.960
Question: A group of four women and two men have tickets for seven adjacent seats in one row of a theatre. If the three men will not sit in two adjacent seats, how many possible different seating arrangements are there for these 6 theatre-goers?
(A)  7! – 2!3!2!
(B)  7! – 4!3!
(C) 6! – 5!2!
(D)  7 × 2!3!2!
(E)  2!3!2!
Rationale: 6 people can sit in 6! different ways. But because 2 men cannot sit together, we take them as a unit.
This unit of men, among themselves can sit in 2! ways.
Hence, 6! - 2!.
This unit of men along with 4 women can sit in 5! different ways which also needs to be eliminated.
Hence 6! - 5!2!
C
Answer: (C) 6! – 5!2!
Question: In the first 10 overs of a cricket game, the run rate was only 5.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
(A) 6.25
(B) 6.5
(C) 6.75
(D) 5.75
(E) 8
Rationale: 10 overs - run rate = 5.2
runs scored in first 10 overs = 52
remaining overs 40
total runs to be scored= 282
52 runs already scored 282-52=230
230 runs to be scored in 40 overs
let required runrate be x
40*x=230
x=230/40
x=5.75
the required runrate is 5.75
ANSWER:D
Answer: (D) 5.75
Question: If the average of 54, 55, 57, 58, 59, 62, 62, 63, 65 and x is 60, what is the value of x?
(A) 60
(B) 62
(C) 64
(D) 65
(E) 66
Rationale: Sum of the deviations of the numbers in the set from the mean is always zero
54, 55, 57, 58, 59, 62, 62, 63, 65
mean is 60
so the list is -6-5-3-2-1+2+2+3+5... this shud total to zero
but this is -5 , hence we need a number that is 5 more than the mean to get a +5 and make it zero
hence the answer is 60 + 5 = 65
D
Answer: (D) 65
Question: A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 62 km downstream?
(A) 30/83 hours
(B) 33/13 hours
(C) 31/13 hours
(D) 30/13 hours
(E) 30/14 hours
Rationale: Speed downstream = 20 + 6 = 26 kmph.
Time required to cover 62 km downstream = d/s = 62/26
= 31/13 hours.
Answer:C
Answer: (C) 31/13 hours
Question: Each week, Harry is paid x dollars per hour for the first 12 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 41 hours If Harry and James were paid the same amount last week, how many hours did Harry work last week ?
(A) 32
(B) 36
(C) 37
(D) 38
(E) 39
Rationale: 42x=12x+1.5x(H-12)
==> 42=12+1.5(H-12)
==> H-12= 30/1.5=20 ==> H = 32
Answer is A
Answer: (A) 32
Question: 50 numbers average is 30. If two numbers, 35 and 40 discarded, then the average of the remaining numbers is nearly:
(A) 29.68
(B) 30.5
(C) 36.78
(D) 40.05
(E) 42.03
Rationale: Total sum of 48 = (50*30) - (35+40) = 1500 - 75
=>1425
=>1425/48 =>29.68
ANSWER A
Answer: (A) 29.68
Question: If a coin has an equal probability of landing heads up or tails up each time it is flipped , what is the probability that the coin will land heads up exectly twice in 3 consecutive flips ?
(A) 0.125
(B) 0.25
(C) 0.375
(D) 0.5
(E) 0.666
Rationale: P=nCm*p^m*q^(n-m)
n - the total number of trials.
m - the number of trials with heads.
n-m - the number of trials with tails.
p - probability of heads.
q - probability of tails.
P=3C2*(1/2)^2*(1/2)^1=3/8=0.375
ANSWER:C
Answer: (C) 0.375
Question: If E = x% of y and B = y% of x, then which of the following is true?
(A) 1) E is smaller than B.
(B) 2) E is greater than B
(C) 3) Relationship between E and B cannot be determined.
(D) 4) If x is smaller than y, then E is greater than B.
(E) 5) None of the above
Rationale: Basically E = B = xy/100
None of the options mentions this; hence E.
Answer: (E) 5) None of the above
Question: Which of the following cannot be the range of a set consisting of 5 odd multiples of 15?
(A) 60
(B) 120
(C) 180
(D) 324
(E) 240
Rationale: Solution: sequence of 15 lets say sequence is 15n, 15(n+1), 15(n+2), 15(n+3), 15(n+4)
so range is 15n+60-15n = 60
if we put the different values of n we will get different but the range will be multiple of 60
and only 324 is not multiple of 60
Ans: D
Answer: (D) 324
Question: If the area of a circle is 16pi square feet, find its circumference.
(A) 8 pi feet
(B) 28 pi feet
(C) 38 pi feet
(D) 48 pi feet
(E) 58 pi feet
Rationale: The area is given by pi *r* r. Hence
pi * r *r = 16 pi
r * r = 16; hence r = 16 feet
The circumference is given by
2 * pi * r = 2 * pi * 4 = 8 pi feet
correct answer A
Answer: (A) 8 pi feet
Question: A number is doubled and 9 is added. If resultant is trebled, it becomes 63. What is that number
(A) 6
(B) 10
(C) 12
(D) 14
(E) 15
Rationale: Explanation:
=> 3(2x+9) = 63
=> 2x+9 = 21
=> x = 6
Answer: Option A
Answer: (A) 6
Question: How long does a train 100 m long traveling at 60 kmph takes to cross a bridge of 170 m in length?
(A) sec
(B) sec
(C) sec
(D) sec
(E) sec
Rationale: D = 100 + 170 = 270 m
S = 60 * 5/18 = 50/3
T = 270 * 3/50 = 16.2 sec
Answer: D
Answer: (D) sec
Question: Find the fourth proportional to 2.6, 4.6 and 7.6?
(A) 13.45
(B) 15
(C) 15.45
(D) 15.85
(E) 16
Rationale: Formula = Fourth propotional = (b Ã— c)/a
A = 2.6 , B = 4.6 and C = 7.6
(4.6 Ã— 7.6)/2.6 = 13.45
A
Answer: (A) 13.45
Question: The population of a town is 45000; 5/9th of them are males and the rest females 40% of the males are married. What is the percentage of married females?
(A) 60%
(B) 50%
(C) 45%
(D) 40%
(E) 30%
Rationale: Male = 45,000* 5/9 = 25,000
Female = 45,000* 4/9 = 20,000
Married Male = 25,000* 40/100 = 10,000
Married Female = 10,000
20,000 ------------ 10,000
100 ------------- ? => 50%
ANSWER:B
Answer: (B) 50%
Question: A fruit seller had some apples. He sells 60% apples and still has 300 apples. Originally, he had:
(A) 656 apples
(B) 700 apples
(C) 750 apples
(D) 780 apples
(E) 800 apples
Rationale: A fruit seller had some apples. He sells 60% apples and still has 300 apples. Originally, he had:
A.
656 apples
B.
700 apples
C.
750 apples
D.
780 apples
800 apples
Answer: Option D
Explanation:
Suppose originally he had x apples.
Then, (100 - 60)% of x = 300.
40/100 x x = 300
100
x = (300 x 1000)/40 = 750.
ANSWER :C
Answer: (C) 750 apples
Question: If line L passes through point (m, n) and (– m, – n), where m and n are not 0, which of the following must be true?
I.	The slope of L is positive
II.	The slope of L is need not be negative
III.	L exactly passes through 2 quadrants
(A) I only
(B) II only
(C) III only
(D) I and II only
(E) II and III only
Rationale: Let (m,n) = (2,3)
(-m,-n) = (-2,-3)
Slope = (3+3)/(2+2) = 6/4 = 3/2
So II may be true
Let (m,n) = (2,-3) then (-m,-n) = (-2,3)
So slope = (3 +3)/(-2-2) = -3/2
so I may not be true
So such a line would be -> (y - 3) = 3/2(x - 2)
=> 2y - 6 = 3x - 6
=> 2y - 3x = 0, hence no x or y intercept, so it passes through origin.
III is true.
Answer - D
Answer: (D) I and II only
Question: The cost of an article is decreased by 50%. If the original cost is $200, find the decrease cost.
(A) 330
(B) 200
(C) 150
(D) 100
(E) 91
Rationale: Original cost = $200
Decrease in it = 50% of $200
= 50/100 Ã— 200
= 10000/100
= $100
Therefore, decrease cost = $200 - $100 = $100
Answer:D
Answer: (D) 100
Question: A train 220 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
(A) 5
(B) 6
(C) 7
(D) 12
(E) 9
Rationale: Speed of train relative to man = (60 + 6) km/hr = 66 km/hr
[66 * 5/18] m/sec = [55/3] m/sec.
Time taken to pass the man = [220 * 3/55] sec = 12 sec
Answer: Option D
Answer: (D) 12
Question: The cross-section of a cannel is a trapezium in shape. If the cannel is 14 m wide at the top and 8 m wide at the bottom and the area of cross-section is 550 sq m, the depth of cannel is?
(A) 76
(B) 28
(C) 50
(D) 80
(E) 25
Rationale: 1/2 * d (14 + 8) = 550
d = 50
Answer: C
Answer: (C) 50
Question: A square, with perimeter 32, is inscribed in a circle. What is the area of the circle?
(A) 22π
(B) 28π
(C) 32π
(D) 30π
(E) 36π
Rationale: Area of circuscribed circle = pi/2*area of square
Area of square = (32/4)^2 = 8^2= 64
Area of circle = pi/2*64=32pi
Answer C
Answer: (C) 32π
Question: Number between 1 to 301. Find the non prime numbers is not divisible by 2,3,5,7.
(A) 10
(B) 12
(C) 15
(D) 18
(E) 20
Rationale: 11*11=121
11*13=143
11*17=187
11*19=209
11*23=253
11*29=319 which is not in range of 1-301 so we cant conider it
13*13=169
13*17=221
13*19=247
13*23=299
17*17=289
17*19=323 which is not in range of 1-301 so we can't consider it
So total possible numbers are 10
ANSWER:A
Answer: (A) 10
Question: A circular road runs round a circular ground. If the difference between the circumferences of the outer circle and inner circle is 66 metres, the width of the road is:
(A) 5.25m
(B) 7m
(C) 10.5m
(D) 21m
(E) 22m
Rationale: 2π(R-r)=60 => 2*22/7 * (R-r)=60.
Therefore, (R-r)= (66*7/44)= 10.5m
ANSWER:C
Answer: (C) 10.5m
Question: f the sum of a list of consecutive odd integers is 5, which of the following could be true?
I. The average (arithmetic mean) of the list is equal to 5.
II. The median of the list is equal to 5.
III. The range of the list is equal to 5.
(A) None
(B) I only
(C) II only
(D) I and II
(E) I and III
Rationale: Let the numbers be x-4, x-2, x , x+2, x+ 4 and given sum of all 5 number is 5, which is 5x = 5 and meaning x is 1
So the list is -3, -1, 1, 3, 5
I) AM of the list is 1 not 5, so eliminate
II) median is 1, not 5 , so eliminate
III) range is 5 - -3=8, not 5, so eliminate
Answer is A, None
Answer: (A) None
Question: In one hour, a boat goes 6 km along the stream and 2 km against the stream. the sped of the boat in still water (in km/hr) is :
(A) 4
(B) 5
(C) 8
(D) 9
(E) 10
Rationale: Solution
Speed in still water= 1/2(6+2) km/hr= 4kmph. Answer A
Answer: (A) 4
Question: Look at this series: 2, 6, 18, 54, ... What number should come next?
(A) 155
(B) 172
(C) 143
(D) 174
(E) 162
Rationale: E
162
This is a simple multiplication series. Each number is 3 times more than the previous number.
Answer: (E) 162
Question: If 13 persons meet at a reunion and each person shakes hands exactly once with each of the others, what is the total number of handshakes?
(A)  10•9•8•7•6•5•4•3•2•1
(B)  10•10
(C)  78
(D)  45
(E)  36
Rationale: We got #13 people who shake each other's hands once ==> a pair of 2
13!/11!2! = 13*12 / 2*1 = 78.
Hence answer C.
Answer: (C)  78
Question: On a track for remote controlled racing cars, racing car A completes the track in 59 seconds, while racing car B completes it in 35 seconds. If they both start at the same time after how many seconds will they be side by side again.
(A) 275
(B) 325
(C) 2065
(D) 425
(E) None of these
Rationale: Time required in seconds will be LCM ( 35, 59 ) = 2065
Hence, answer will be (C) 2065
Answer: (C) 2065
Question: The average salary/head of all the workers in a workshop is Rs.1000, if the average salary/head of 10 technician is Rs.1200 and the average salary/head of the rest is Rs.820, the total no. of workers in the work-shop is ?
(A) 120/9
(B) 140/9
(C) 150/9
(D) 190/9
(E) 170/9
Rationale: Let the total number of workers be y.So sum of salary for all workers = sum of salary of 10 technician + sum of salary for other y -10 workers.10 x 1200 + 820(y -10) = 1000 y⇒ 12000 + 820y - 8200 = 1000y⇒ 180y = 3800∴ y = 190/9 So total number of workers = 190/9 D
Answer: (D) 190/9
Question: A car travels at a speed of 65 miles per hour. How far will it travel in 8 hours?
(A) 125 miles
(B) 225 miles
(C) 520 miles
(D) 425 miles
(E) 525 miles
Rationale: During each hour, the car travels 65 miles. For 8 hours it will travel
65 + 65 + 65 + 65 + 65+ 65 + 65 + 65 = 8 × 65 = 520 miles
correct answer is C) 520 miles
Answer: (C) 520 miles
Question: If it takes 6 identical printing presses exactly 4 hours W to print 5,000 newspapers, how long would it take 3 of these presses to print 3,000 newspapers?
(A) 3 hours, 20 minutes
(B) 4 hours, 20 minutes
(C) 4 hours, 48 minutes
(D) 5 hours, 48 minutes
(E) 6 hours, 50 minutes
Rationale: 6 presses - 5,000 newspapers - 4 hours ;
3 presses - 2,500 newspapers - 4 hours ;
3 presses - 3,000 newspapers - 4 hours + 1/5*4 hours = 4 hours, 48 minutes (since 2,500+1/5*2,500=3,000) = W.
Answer: C.
Answer: (C) 4 hours, 48 minutes
Question: Mangala completes a piece of work in 30 days, Raju completes the same work in 70 days. If both of them work together, then the number of days required to complete the work is
(A) 4 days
(B) 21 days
(C) 8 days
(D) 10 days
(E) 11 days
Rationale: If A can complete a work in x days and B can complete the same work in y days, then, both
of them together can complete the work in x y/ x+ y days.
That is, the required No. of days = 30 × 70/100 = 21 days.
Answer : B
Answer: (B) 21 days
Question: Seats for Maths, Physics and Biology are in the ratio of 6 : 7 : 8 respectively. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the respective ratio of increased seats?
(A) 12 : 15 : 20
(B) 6 : 7 : 8
(C) 6 : 8 : 9
(D) Cannot be determined
(E) None of these
Rationale: Reqd ratio 6 Ã— 140â„100 : 7 Ã— 150â„100 : 8 Ã— 175â„100
= 6 Ã— 140 : 7 Ã— 150 : 8 Ã— 175 = 12 : 15 : 20
Answer A
Answer: (A) 12 : 15 : 20
Question: There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:
(A) 20
(B) 80
(C) 100
(D) 200
(E) None
Rationale: EXPLANATION
Let the number of students in rooms A and B be x and y respectively.
Then, x – 10 = y + 10 x – y = 20 …. (i)
and x + 20 = 2(y – 20) x – 2y = -60 …. (ii)
Solving (i) and (ii) we get: x = 100 , y = 80.
The required answer A = 100.
Answer C
Answer: (C) 100
Question: If the probability that the Cleveland Browns win the Super Bowl is 1/100 and the probability that the Cleveland Indians win the World Series is 1/10, what is the probability that either the Browns win the Super Bowl or the Indians win the World Series (but not both)?
(A) 9/50
(B) 17/100
(C) 27/250
(D) 53/500
(E) 101/1000
Rationale: 99/100*1/10 + 1/100*9/10 = 108/1000 = 27/250
The answer is C.
Answer: (C) 27/250
Question: In a group of ducks and cows, the total number of legs are 24 more than twice the no. of heads. Find the total no.of buffaloes.
(A) 10
(B) 12
(C) 16
(D) 17
(E) 18
Rationale: Let the number of buffaloes be x and the number of ducks be y
=> 4x + 2y = 2 (x + y) + 24
=> 2x = 24 => x = 12
B
Answer: (B) 12
Question: Calculate how much time could be saved if the train would run at its usual speed, given that it ran at 5/7 of its own speed and got to its destination in 15 hours?
(A) 1.29 hrs
(B) 2.29 hrs
(C) 4.29 hrs
(D) 5.29 hrs
(E) 3.29 hrs
Rationale: New speed = 5/7 of usual speed
New time = 5/7 of usual time
5/7 of usual time = 15 hrs
Usual time = 15*5/7 = 10.71 hrs
Time saved = 15-10.71 = 4.29 hrs
Answer is C
Answer: (C) 4.29 hrs
Question: Find the average of all the numbers between 6 and 34 which are divisible by 5
(A) 18
(B) 20
(C) 24
(D) 30
(E) 32
Rationale: Multiples of 5 between 6 and 34 are 10,15,20,25,30
Average = (10+15+20+25+30)/5
=5(10+30)/2*5
=40/2
=20
ANSWER:B
Answer: (B) 20
Question: What annual payment dischargea debit of Rs.12900, due in 4yrs.At 5% rate?
(A) 1000
(B) 2300
(C) 3000
(D) 4000
(E) 4500
Rationale: A.P.=(200X12900)/[4(200+5X3)]=3000 Ans
Alternative
100+105+110+115=12900
430=12900
100=12900/(430)X100=3000
C
Answer: (C) 3000
Question: A gardener increased the length of a rectangle-shaped garden by 25 percent and decreased its width by 10 percent. The area of the new garden
(A) has increased by 15 percent
(B) has increased by 12.5 percent
(C) has increased by 7.5 percent
(D) is exactly the same as the old area
(E) cannot be expressed in percentage terms without actual numbers
Rationale: Let L be the original length and let W be the original width.
The original area was L*W.
The new area is 0.9W*1.25L = (0.9)(1.25)L*W = 1.125*L*W
The answer is B.
Answer: (B) has increased by 12.5 percent