mathewhe/aqua_rat huggingface dataset:
Question: If log 0.317 = 0.3332 and log 0.318 = 0.3364, then find log 0.319
(A) 0.3396
(B) 0.3496
(C) 0.3596
(D) 0.3696
(E) 0.3796
Rationale: log.318-log.317=.0032
log.318+log.oo1=log.319
.3364+.0032=.3396
ANSWER:A
Answer: (A) 0.3396
Question: In a class of 120 students numbered 1 to 120, all even numbered students opt for Physics, whose numbers are divisible by 5 opt for Chemistry and those whose numbers are divisible by 7 opt for Math. How many opt for none of the three subjects?
(A) 19
(B) 41
(C) 21
(D) 26
(E) 34
Rationale: Explanatory Answer
We need to find out the number of students who took at least one of the three subjects and subtract that number from the overall 120 to get the number of students who did not opt for any of the three subjects.
Number of students who took at least one of the three subjects can be found by finding out A U B U C, where A is the set of those who took Physics, B the set of those who took Chemistry and C the set of those who opted for Math.
Now, AUBUC = A + B + C - (A n B + B n C + C n A) + (A n B n C)
A is the set of those who opted for Physics = 120/2 = 60 students
B is the set of those who opted for Chemistry = 120/5 = 24
C is the set of those who opted for Math = 120/7 = 17.
The 10th, 20th, 30th…… numbered students would have opted for both Physics and Chemistry.
Therefore, A n B = 120/10 = 12
The 14th, 28th, 42nd…. Numbered students would have opted for Physics and Math.
Therefore, C n A = 120/14 = 8
The 35th, 70th …. Numbered students would have opted for Chemistry and Math.
Therefore, A n B = 120/35 = 3
And the 70th numbered student would have opted for all three subjects.
Therefore, AUBUC = 60 + 24 + 17 - (12 + 8 + 3) + 1 = 79.
Number of students who opted for none of the three subjects = 120 - 79 = 41.
Answer B
Answer: (B) 41
Question: Find the area of a triangle whose sides are 41 cm, 28 cm, 15 cm. Also, find the length of the altitude corresponding to the largest side of the triangle.
(A) 4.1 cm
(B) 5.1 cm
(C) 6.1 cm
(D) 7.1 cm
(E) 8.1 cm
Rationale: Semi-perimeter of the triangle = (a + b + c)/2
= (41 + 28 + 15)/2
= 84/2
= 42 cm
Therefore, area of the triangle = √(s(s - a) (s - b) (s - c))
= √(42 (42 - 41) (42 - 28) (42 - 15)) cm²
= √(42 × 1 × 27 × 14) cm²
= √(3 × 3 × 3 × 3 × 2 × 2 × 7 × 7) cm²
= 3 × 3 × 2 × 7 cm²
= 126 cm²
Now, area of triangle = 1/2 × b × h
Therefore, h = 2A/b
= (2 × 126)/41
= 252/41
= 6.1 cm
ANSWER : OPTION C
Answer: (C) 6.1 cm
Question: What is the greatest prime factor of 4^6 - 1?
(A) 13
(B) 17
(C) 19
(D) 23
(E) 29
Rationale: 4^6-1 = (4^3-1)(4^3+1) = 63*65 = 7*9*5*13
The answer is A.
Answer: (A) 13
Question: The H.C.F. of two numbers is 10 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
(A) 100
(B) 120
(C) 180
(D) 140
(E) 60
Rationale: Clearly, the numbers are (10 x 13) and (10 x 14).
Larger number = (10 x 14) = 140. Answer: Option D
Answer: (D) 140
Question: 7% of the total quantity of rice is lost in grinding when a country has to import 6 million tonnes, but when only 7 3/4% is lost, it can import 3 million tonnes. Find the quantity of rice grown in the country.
(A) 200
(B) 300
(C) 400
(D) 450
(E) 560
Rationale: Let x be the total grown quantity of wheat. According to the question
(7%of x)+ 64 31 %of x)+3 7x 31x => 100+ 6 = 400 + 3 1200 x = — 400 million tonnes rice grown
C
Answer: (C) 400
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?
(A) 9.8 sec
(B) 12.1 sec
(C) 12.42 sec
(D) 14.3 sec
(E) 15.3 sec
Rationale: Speed = 72 * 5/18 = 20 m/sec
Total distance covered = 110 + 132 = 242 m.
Required time = 242/20 = 12.1 sec.
ANSWER:B
Answer: (B) 12.1 sec
Question: Rahul went to a shop and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
(A) Rs. 15
(B) Rs. 17
(C) Rs. 19.7
(D) Rs. 21
(E) Rs. 22
Rationale: Total cost of the items he purchased = Rs.25
Total tax incurred = 30 paise = Rs.
30
100
30100
Let the cost of the tax free items
=
x
=x
Given that tax rate = 6%
∴
(
25
−
30
100
−
x
)
6
100
=
30
100
⇒
6
(
25
−
0.3
−
x
)
=
30
⇒
(
25
−
0.3
−
x
)
=
5
⇒
x
=
25
−
0.3
−
5
=
19.7
Option C
Answer: (C) Rs. 19.7
Question: A Train requires 8 seconds to pass a pole while it requires 18 seconds to cross a stationary train which is 400 mtrs long. Find the speed of the train.
(A) 144 kmph
(B) 124 kmph
(C) 134 kmph
(D) 150 kmph
(E) 160 kmph
Rationale: In 8s the train crosses the pole and in 18 sec the train crosses one more stationary train
In 10 sec the train travels a distance of 400 mtrs
Speed = 400/10 = 40 m/s = 40 (3600/1000) = 40 * 18/5 = 144 kmph
Answer: A
Answer: (A) 144 kmph
Question: Which of the following points falls outside of the region defined by 2y≤4x−12?
(A) (5, 1)
(B) (3, -8)
(C) (2, 0)
(D) (1, -2)
(E) (0, -14)
Rationale: Equation given is 2y<=4x-12
Simplifying this; y<=2x-6
Plug in the values provided in the options,
A. 1<=4
B. -8<=0
C. 0<=-2
D.-2<=-2
E. -14<=-12
Option C is the answer.
Answer: (C) (2, 0)
Question: Day after tomorrow is my birthday. On the same day next week falls 'Holi'. Today is Monday. What will be the day after 'Holi'?
(A) Wednesday
(B) Thursday
(C) Friday
(D) Saturday
(E) None of these
Rationale: next week is WEDNESDAY
BUT THEY ASKED
What will be the day after 'Holi'?
SO THURSDAY
ANSWER:B
Answer: (B) Thursday
Question: Three candidates contested in an election and received 5136, 7636, 11628 votes respectively. What is the percentage of the total votes did the winning candidate get?
(A) 45%
(B) 48%
(C) 57%
(D) 51%
(E) 62%
Rationale: Total number of votes polled = 5136+7636+11628 = 24400
Required percentage = 11628*100/24400 = 48%
Answer is B
Answer: (B) 48%
Question: A Father told his son, " I was as old as you are at present, at the time of your birth," if the father is 38 years old now, then what was the son age five years back?
(A) 14 years
(B) 19 years
(C) 38 years
(D) 33 years
(E) 37 years
Rationale: Let the present age of the son be x years, then
x = 38 - x
x = 19 years.
Five years back, son’s age = x - 5 = 19 - 5 = 14 years
ANSWER:A
Answer: (A) 14 years
Question: The H.C.F. of two numbers is 30 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
(A) 276
(B) 299
(C) 420
(D) 345
(E) 365
Rationale: Clearly, the numbers are (30 x 13) and (30 x 14).
Larger number = (30 x 14) = 420. Answer: Option C
Answer: (C) 420
Question: Denise is trying to open a safe whose combination she does not know. IF the safe has 4000 possible combinations,and she can try 150 different possibilities,what is the probability that she does not pick the one correct combination.
(A) 0.9625
(B) 159/160
(C) 157/160
(D) 3/160
(E) 0.8625
Rationale: If Denise does not pick the correct combination in first 150 try, then the correct combination is one of remaining 3850. So Probability = 3850/4000 = 0.9625
answer is A
Answer: (A) 0.9625
Question: A man misses a bus by 40 minutes if he travels at 30 kmph. If he travels at 40 kmph, then also he misses the bus by 10 minutes. What is the minimum speed required to catch the bus on time?
(A) 49 kmph
(B) 45 kmph
(C) 95 kmph
(D) 75 kmph
(E) 46 kmph
Rationale: Let the distance to be travelled to catch the bus be x km
x/30 - x/40 = 30/60 => (4x - 3x)/120 = 1/2 => x = 60 km
By traavelling 30 kmph time taken = 60/30 = 2 hours
By taking 2 hours, he is late by 40 min. So, he has to cover 60 km in at most speed
= 60/(4/3) = 45 kmph.
Answer: B
Answer: (B) 45 kmph
Question: (935421 x 625) = ?
(A) 584638125
(B) 584638150
(C) 584638180
(D) 584638220
(E) 584638225
Rationale: 935421 x 625 = 935421 x 54 = 935421 x 10 4
2
=	935421 x 104	=	9354210000
24	16
= 584638125
A)
Answer: (A) 584638125
Question: How long will a boy take to run round a square field of side 50 meters, if he runs at the rate of 9km/hr?
(A) 80sec
(B) 45sec
(C) 1min
(D) 32sec
(E) 25sec
Rationale: Speed = 9 km/hr = 9*5/18 = 5/2 m/sec
Distance = 50*4 = 200m
Time taken = 200*2/5 = 80sec
Answer is A
Answer: (A) 80sec
Question: How many three letter words are formed using the letters of the word POLICE?
(A) 22
(B) 120
(C) 140
(D) 24
(E) 91
Rationale: Explanation:
The number of letters in the given word is six.
The number of three letter words that can be formed using these four letters is Ã¢Â´PÃ¢â€šÆ’ = 6*5*4 = 120.
Answer: B
Answer: (B) 120
Question: A shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 10% while buying and by 10% while selling. What is his percentage profit?
(A) 10.22%
(B) 20.22%
(C) 21.22%
(D) 22.22%
(E) Can't be calculated
Rationale: The owner buys 100 kg but actually gets 110kg;
The owner sells 100 kg but actually gives 90kg;
Profit: (110-90)/90*100=~22.22%
Answer: D.
Answer: (D) 22.22%
Question: In a certain game, each player scores either 2 points or 5 points. If n players score 2 points and m players score 5 points, and the total number of points scored is 50, what is the least possible positive R difference between n and m?
(A) 1
(B) 3
(C) 5
(D) 7
(E) 9
Rationale: We have equation 2n + 5m = 50
We have factor 2 in first number and we have factor 5 in second number.
LCM(2, 5) = 10
So we can try some numbers and we should start from 5 because it will be less list than for 2
2 * 5 = 10 and n should be equal 20
4 * 5 = 20 and n should be equal 15
6 * 5 = 30 and n should be equal 10
8 * 5 = 40 and n should be equal 5
10 * 5 = 50 and n should be equal 0
third variant give us the mininal difference
n - m = 10 - 6 = 4
And there is some mistake in my way of thinking because we don't have such answer )
If we change the task and will seek for difference between m and n
than minimal result R will be 8 - 5 = 3
And answer B
Answer: (B) 3
Question: The cost of setting up a magazine is Rs. 2800. The cost of paper and ink etc is Rs. 80 per 100 copies and printing cost is Rs. 160 per 100 copies. In last month 2000 copies were printed but only 1500 copies could be sold at Rs. 5 each. Total 25% profit on the sale price was realized. There is one more resource of income from magazine which is advertising. What sum of money obtained from the advertising in magazine?
(A) Rs. 1750
(B) Rs. 2350
(C) Rs. 1150
(D) Rs. 1975
(E) None of these
Rationale: Solution: Set up cost = Rs. 2800
Paper etc = Rs. 1600
Printing cost = Rs. 3200
Total cost = Rs. 7600
Total sale price = 1500*5 = 7500
Let amount obtained from advertising be x then,
(7500+x)-7600 = 25 % of 7500
x = 1975.
Answer: Option D
Answer: (D) Rs. 1975
Question: The arithmetic mean of a data set is 46 and the standard deviation of the set is 4. Which of the following contains the interval two standard deviations from the mean of the set?
(A) 38 to 55
(B) 38 to 54
(C) 48 to 54
(D) 80 to 54
(E) 38 to 60
Rationale: Arithmetic Mean = 46
SD = 4 (One Interval )
Two SD intervals means 38__42__46 __50__54
answer B
Answer: (B) 38 to 54
Question: Three friends are buying a gift for a friend. Declan contributes 4 dollars more than 1/4 the cost of the gift, Ed contributes 1 dollar less than 1/3 the cost of the gift, and Frank contributes the remaining 20 dollars. What is the cost of the gift?
(A) 48
(B) 54
(C) 60
(D) 55.2
(E) 72
Rationale: Declan = D, Ed = E, Frank = F
t = total
D + E + F = t
(t/4 + 4) + (t/3 - 1) + 20 = t
t = 23 + (7t/12)
12t = 23(12) + 7t
5t = 23(12)
t = 55.2
The correct answer is D.
Answer: (D) 55.2
Question: A pharmaceutical company received $4 million in royalties on the first $24 million in sales of generic equivalent of one of its products and then $5 million in royalties on the next $60 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $24 million in sales to the next $60 million in sales?
(A) 10%
(B) 20%
(C) 25%
(D) 30%
(E) 35%
Rationale: change in ratio of royalties to sales = 4/24 -5/60 = 1/12
% decrease = (1/12)/(4/24) *100 = 20%
Answer: B)
Answer: (B) 20%
Question: In how many ways can the letters in PRECISION be arranged? In how many of these arrangements do the vowels occupy even places ?
(A) 1140
(B) 1440
(C) 1420
(D) 1460
(E) 1520
Rationale: 4 vowels out of which two are identical can be arranged in even places in 4!/2!=12 # of ways.
Remaining 5 letters can be arranged in 5!=120 # of ways.
Total 12*120=1440.
ans:B
Answer: (B) 1440
Question: If the personal income tax rate is lowered from 42% to 28%, what is the differential savings for a tax payer having an annual income before tax to the tune of $34500?
(A) $3500
(B) $5000
(C) $4830
(D) $7000
(E) $10000
Rationale: Saving = (42-28)% of 34500 = 4830.
Answer:C
Answer: (C) $4830
Question: What will come in place of the x in the following Number series? 5,28,57,88,125
(A) 123
(B) 155
(C) 166
(D) 178
(E) 190
Rationale: 28=23+5
57=29+28
88=31+57
125=37+88
166=41+125
=166
C
Answer: (C) 166
Question: The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is:
(A) 21
(B) 20
(C) 22
(D) 25
(E) 40
Rationale: Let the total number of workers be x. Then,
8000x = (12000 * 7) + 6000(x - 7)
= 2000x = 42000
= x = 21.
ANSWER A
Answer: (A) 21
Question: When n is divided by 24, the remainder is 4. What is the remainder when 3n is divided by 8?
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
Rationale: Let n=4 (leaves a remainder of 4 when divided by 24)
3n = 3(4) =12, which leaves a remainder of 4 when divided by 8.
Answer B
Answer: (B) 4
Question: Let D represent a set of four distinct prime numbers. If the sum of the numbers in D is even and x is a member of D, then what is the least possible value that x can be?
(A) 1
(B) 2
(C) 3
(D) 5
(E) 7
Rationale: We are told that D is a set of four distinct prime numbers, and the sum of the numbers in D is even. Since the question involves odds, evens and the smallest possible prime, you should immediately think of 2, the smallest prime number and the only even prime number.
If 2 were a member of the set, then we would have one even number and three odd numbers. Since such sum would always be odd, 2 cannot be a member of the set. Thus, all the members of D must be odd to yield an even sum.
Since all the members of the set must be odd prime numbers, the answer is the smallest odd prime number, which is 3.
The correct answer is choice (C).
Note:1 is not a prime number.
Answer: (C) 3
Question: A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4 of a day?
(A) 41
(B) 43
(C) 31
(D) 84
(E) 81
Rationale: (1 man + 1 woman)’s 1 day work = 1/3 + 1/4 = 7/12
Work done by 1 man and 1 women in 1/4 day = ((7/12) x (1/4)) = 7/48
Remaining work = 1 - 7/48 = 41/48
Work done by 1 boy in 1/4 day = ((1/12) x (1/4)) = 1/48
Therefore, Number of boys required = ((41/48) x 48) = 41
ANSWER:A
Answer: (A) 41
Question: Find the area between two concentric circles defined by
x2 + y2 -2x + 4y + 1 = 0
x2 + y2 -2x + 4y - 11 = 0
(A) 11 Pi
(B) 12 Pi
(C) 13 Pi
(D) 14 Pi
(E) 15 Pi
Rationale: Rewrite equations of circles in standard form. Hence equation x2 + y2 -2x + 4y + 1 = 0 may be written as
(x - 1)2 + (y + 2) 2 = 4 = 22
and equation x2 + y2 -2x + 4y - 11 = 0 as
(x - 1)2 + (y + 2) 2 = 16 = 42
Knowing the radii, the area of the ring is Pi (4)2 - Pi (2)2 = 12 Pi
correct answer is B) 12 Pi
Answer: (B) 12 Pi
Question: In how many different number of ways 5 men and 2 women can sit on a shopa which can accommodate persons?
(A) 210
(B) 220
(C) 230
(D) 240
(E) 250
Rationale: 7p3 = 7 × 6 × 5 = 210
A)
Answer: (A) 210
Question: A gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same. If there are 2 rows or 7 rows or 9 rows, then no tree will be left. Find the least number of trees required
(A) 22
(B) 60
(C) 126
(D) 76
(E) 21
Rationale: Explanation:
The least number of trees that are required = LCM(2, 7, 9) = 126
Answer: C
Answer: (C) 126
Question: What will be the remainder of the following division:
(1234567....141516...20212223....404142)/43?
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
Rationale: first add the digits
1+2+3+.........+42
=>903
then 903 divided by 43
because it is the rule of division by 43( a prime number)
so 903%43=0
% is modulo operator it returns the remainder part
ANSWER:A
Answer: (A) 0
Question: It takes 6 tons of copper ore and 15 tons of iron ore to make one ton of alloy A. How many tons of alloy A can be made from 60 tons of copper ore and 90 tons of iron ore?
(A)  4
(B)  5
(C)  6
(D)  7
(E)  8
Rationale: Yes, you need copper ore:iron ore in the ratio 6:15. Total 21 tons of the mix in this ratio will give 1 ton of alloy A.
If you have 60 tons of copper ore, it is enough for 60/6 = 10 tons of alloy A.
If you have 90 tons of iron ore, it is enough for 90/15 = 6 tons of alloy A.
Since iron ore is available for only 6 tons of alloy A, you can make only 6 tons of alloy A.
The leftover copper ore alone cannot make any alloy A and hence will be leftover only.
Answer must be 6.
(C)
Answer: (C)  6
Question: Two trains running opposite to each other with a speed of 60kph and 55kph having lengths of 180m and 200m respectively. How long it will take the trains to completely pass each other(in seconds)?
(A) 9.89
(B) 10.21
(C) 11.89
(D) 14.22
(E) 19.13
Rationale: Speed of the train relative to each other=60+55=115kph=31.94m/s
Distance need to be covered=180+200=380m
Time taken by the trains to pass each other=380/31.94=11.89s
Answer: C
Answer: (C) 11.89
Question: Two cars started from the same point, at 5 am, traveling in opposite directions at 40 and 50 mph respectively. At what time will they be 450 miles apart?
(A) 8am
(B) 10am
(C) 11am
(D) 12am
(E) 14am
Rationale: After t hours the distances D1 and D2, in miles per hour, traveled by the two cars are given by
D1 = 40 t and D2 = 50 t
After t hours the distance D separating the two cars is given by
D = D1 + D2 = 40 t + 50 t = 90 t
Distance D will be equal to 450 miles when
D = 90 t = 450 miles
t = 5 hours.
5 am + 5 hours = 10 am
Answer:B
Answer: (B) 10am
Question: Which of the following options is equal to 2.71 x 10(power 7)?
(A) 27100000
(B) 27500000
(C) 27200000
(D) 21100000
(E) 17100000
Rationale: = 2.71 x 10(power 7)
= 2.71 x 10000000
= 27100000.
Answer is A.
Answer: (A) 27100000
Question: IF x is an integer greater than 6, then all the following must be divisible by 3 EXCEPT
(A) 3x^3
(B) 9x/3
(C) 9x^2
(D) x(x+1)(x+2)
(E) x-3
Rationale: *any number multiplied by 3, will be divided by 3
for option E if we put value x=10, 10-3=7 is not divisible by 3
Answer : E
Answer: (E) x-3
Question: X, Y, W and Z are intezers and the expressing X - Y - Z is even and Y - W - Z is odd. If X is even then which of
(A) W must be odd
(B) J must be odd
(C) Y must be odd
(D) Z must be odd
(E) F must be odd
Rationale: Ans. If X is even and X - Y - Z is even then Y and Z both should be odd or both should be even.
If Y - W - Z is odd, and Y and Z are also odd W should be odd
If Y - W - Z is even, and Y and Z are even then W should be odd.
W must be ODD
Answer:A
Answer: (A) W must be odd
Question: 10 distinct integers are arranged in ascending order. The range of the first 7 is 25 and that of last 7 is 30. What is the maximum range R of the 10 numbers?
(A) 25
(B) 27
(C) 30
(D) 52
(E) 55
Rationale: Positions: 1 2 3 4 5 6 7 8 9 10
Given: 1st position = x; 4th position = a; 7th position = y; 10th position = b
y - x = 25
Let x be 0 and y = 25. We are asked to maximize the range and the integers are distinct.
b - a = 30 --> b = 30 + a
In order to increase the range, we have to maximize the value of 'b'.
'b' can be maximized by taking the max value of 'a'.
From the assumed values, maximum value of 'a' can be 22.
Therefore, b = 30 + 22 = 52
Range R= 52 - 0 = 52
Answer: D
Answer: (D) 52
Question: The average age of a class of 14 students is 10 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
(A) 30 Years
(B) 31 Years
(C) 32 Years
(D) 34 Years
(E) 25 Years
Rationale: Total age of students is 14X10 = 140 Years
Total age inclusive of teacher = 15X (10+1) = 165
So, Teacher's age is 165-140 = 25 Yrs
There is a shortcut for these type of problems
Teacher's age is 10+(15X1) = 25 Years
E
Answer: (E) 25 Years
Question: A starts business with a capital of Rs.1200 B and C join with some investments after 3 and 6 months respectively. If the end of a year, the profit is divided in the ratio 2:3:5 respectively. What is B's investment in the business?
(A) 2400
(B) 2888
(C) 2766
(D) 91987
(E) 2121
Rationale: 1200 * 12: x * 9 = 2:3
x = 2400
Answer: A
Answer: (A) 2400
Question: A man want to buy 2 cars. If there are 10 cars that satisfy the man's criteria,in how many different ways can the man select the 2 cars if the order of selection doesn't matter.
(A) 54
(B) 120
(C) 32
(D) 210
(E) 45
Rationale: The number of ways of choosing 2 cars out of 10 are counted by = 10C2 ways = 45
Answer: Option E
Answer: (E) 45
Question: In the youth summer village there are 200 people, 100 of them are not working,75 of them have families and 125 of them like to sing in the shower. What is the largest possible number of people in the village, which are working, that don't have families and that are singing in the shower?
(A) 125
(B) 150
(C) 100
(D) 130
(E) 140
Rationale: total =200
not working =100
having family=75
like to sing in shower = 125
working=200-100=100
not having family = 200-75=125
like to sing in shower = 125
largest possible number is the lowest possible among the above
Thus 100
C
Answer: (C) 100
Question: There are nine leopards and one sheep.
Leopard can eat sheep but since as the land is magical, the leopards who eats the sheep , turns into sheep and then can be eaten by the remaining leopard(s).
If we leave them for some time then how many sheep and leopard will be there , when we come back ?
(A) 7 leopard and 3 sheep
(B) 8 leopard and 1 sheep
(C) 6 leopard and 4 sheep
(D) 5 leopard and 1 sheep
(E) 2 leopard and 5 sheep
Rationale: B
8 leopard and 1 sheep
since all animal are rational , once 1st leopard eats the sheep all the rest of leopard would know about this.
Answer: (B) 8 leopard and 1 sheep
Question: Two whales are moving in the same direction at 60 kmph and 42 kmph. The faster whale manages to cross the other whale in 14 seconds. Find the length of the faster whale in meters.
(A) 110 m
(B) 45 m
(C) 70 m
(D) 120 m
(E) 113 m
Rationale: Relative speed = ( 60 - 42 ) * 5 / 18 = 5 mps.
Distance covered in 14 seconds = 14 * 5 = 70 m.
The length of the faster whale = 70m.
Answer: C
Answer: (C) 70 m
Question: There are 12 cans in the refrigerator. 8 of them are red and 4 of them are blue. In how many ways we can remove 8 cans so that at least one red and at least one blue cans to remain the refrigerator.
(A) 460
(B) 490
(C) 493
(D) 455
(E) 424
Rationale: Ways to pick 4 cans so that at least one red and at least one blue cans to remain the refrigerator =
total ways to pick 4 can out of 12 - ways to pick 4 red out of 8 red - ways to pick 4 blue out of 4 blue
12C4âˆ’8C4âˆ’4C4=495âˆ’70âˆ’1=424
ANSWER:E
Answer: (E) 424
Question: Two numbers are respectively 20% and 25% more than a third number. So find the percentage that is first of the second is?
(A) 96
(B) 20
(C) 35
(D) 78
(E) 89
Rationale: First - 120
second - 125
third - 100
125----120
100-----96
ANSWER A
Answer: (A) 96
Question: A, B and C invested Rs.6000, Rs.7200 and Rs.10800 respectively, in a partnership business. Find the share of C in profit of Rs.19000 after a year?
(A) 3630
(B) 5580
(C) 19000
(D) 8550
(E) 6000
Rationale: Explanation:
6000 :7200 : 10800
5:6:9
9/20 * 19000 = 8550
Answer: D
Answer: (D) 8550
Question: There are 22 girls in hostel whose average age is decreased by 2 months, when one girl 18 yrs is replaced by a new boy.Find the age of new girl.
(A) 1 year
(B) 1 years 2 months
(C) 3 years 8 months
(D) 4 years
(E) None
Rationale: Total decrease = 22 * 2 = 44 months
= 3 years 8 months
C
Answer: (C) 3 years 8 months
Question: One-third of 1206 is what percent of 162?
(A) 324.11
(B) 300.12
(C) 248.14
(D) None of these
(E) cannot be determined
Rationale: Answer
Let one-third of 1206 is N% of 162.
∵ 1206/3 = (N x 162)/100
∴ N = (402 x 100) / 162= 248.14
Correct Option: C
Answer: (C) 248.14