RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: In an election between two candidates, 70% of the voters cast their votes, out of which 4% of the votes were declared invalid. A candidate got 6552000 votes which were 75% of the total valid votes. Find the total number of votes enrolled in that election.
A.13000000
B.12500
C.14000
D.12000
Answer: A.13000000
Explanation: Explanation :
Solution: let the total number of votes enrolled be x. then, number of votes cast = 70% of x. valid votes = 96% of(70% of x). .'. 75% of(96% of (70% of of x)) = 6552000.
(75/100 * 96/100 * 70/100 * x) = 6552000.
=> x = (6552000*100*100*100)/(75*96*70) = 13000000
Answer : A
Question: Simplify: 0.3*0.3+0.3*0.3
A.0.52
B.0.42
C.0.18
D.0.64
Answer: C.0.18
Explanation: Given exp. = 0.3*0.3+(0.3*0.3) = 0.09+0.09 = 0.18
Answer is C.
Question: A starts business with Rs.3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B’s contribution in the Capital ?
A.24887
B.20778
C.23788
D.9000
Answer: D.9000
Explanation: Explanation:
A invested Rs.3500 for 12 months.
Let B joined with investment x. And he invested for 12 - 5 = 7 months.
So there profit ratio = (3500 × 12) : (7x) = 2 : 3
⇒ x = 9000
Answer: D
Question: If 2 cards are selected (with replacement) at random from the deck of 52 cards then what is the probability that one of the selected cards will be red and the other will be black?
A deck of cards has a total of 52 cards, consisting of 4 suits: spades (black), hearts (red), diamonds (red), and clubs (black). In each suit, there are 13 cards including 1 king, 1 queen, and 1 jack.
A.1/2
B.1/4
C.1/8
D.1/16
Answer: A.1/2
Explanation: P(1 red and 1 black) = 2(1/2*1/2) = 1/2
The answer is A.
Question: The G.C.D of 1.08, 0.42 and 0.9 is
A.0.19
B.0.1
C.0.06
D.0.11
Answer: C.0.06
Explanation: Explanation:
Given numbers are 1.08 , 0.42 and 0.90
H.C.F of 108, 42 and 90 is 6 [because G.C.D is nothing but H.C.F]
therefore H.C.F of given numbers = 0.06
Answer: C)
Question: The difference between the squares of two consecutive odd integers
is a square<1000 whose root equals the combined sum of the digits
of the two integers. What is the sum of the digits X of the larger integer?
A.X=2
B.X=5
C.X=8
D.10
Answer: A.X=2
Explanation: Really hard. But let's start with few concepts:
1. Square of an odd integer will be odd.
2. Difference of odd and odd will be even.
3. Any odd integer can be expressed as difference of two squares.
4. An even integer can be expressed as difference of two squares only if that even integer is a multiple of 4.
Assume two odd integers to be (2x-1) and (2x+1).
Difference of their squares = (2x+1)^2 - (2x-1)^2
= 4x^2 + 1 + 4x - (4x^2 + 1 - 4x)
= 4x^2 + 1 + 4x - 4x^2 - 1 + 4x
= 8x
Now root of 8x needs to be an integer such that it is equal to the sum of the digits of the two odd integers.
8 = 2^3, so x needs to be such that itcompletesa perfect square.
If we find x, we can find the value of 2x+1 (larger integer) and then sum of its digits.
Let's check the options, starting with c.
For sum to be 8, few possibilities are: 17, 35, 53, 71
If we take 17, the pair is 15 and 17, meaning x = 8.
8x = 64
root of 64 = 4 but 4 is not equal to 1+5+1+7.
Reject.
If we take 35, the pair is 33 and 35, meaning x = 17.
8x = 8*17
Reject since perfect square is not possible.
If we take 53, the pair is 51 and 53, meaning x = 26.
8x = 8*26
Reject since perfect square is not possible.
If we take 71, the pair is 69 and 71, meaning x = 35.
8x = 8*35
Reject since perfect square is not possible.
I tried each option and the possibilities and then got lost.
Then, it occurred to me that I was only checking 2-digit integers. What about 3-digits?
Starting with option a, only 2-digit odd integer whose sum is 2 is 101.
If we take 101, the pair is 99 and 101, meaning x = 50.
8x = 8*50 = 400
root of 400 = 20 which is indeed equal to 9+9+1+1.
Answer (A).
Question: John and Karen begin running at opposite ends of a trail until they meet somewhere in between their starting points. They each run at their respective constant rates until John gets a cramp and stops. If Karen runs 50% faster than John, who is only able to cover 25% of the distance w before he stops, what percent longer would Karen have run than she would have had John been able to maintain his constant rate until they met.
A.25%
B.50%
C.75%
D.100%
Answer: A.25%
Explanation: John and Karen begin running at opposite ends of a trail until they meet somewhere in between their starting points. They each run at their respective constant rates until John gets a cramp and stops. If Karen runs 50% faster than John, who is only able to cover 25% of the distance w before he stops, what percent longer would Karen have run than she would have had John been able to maintain his constant rate until they met.
Lets say the distance of the trail is 100 miles. Lets also say that J rate = 10 miles/hour and K rate = 15 miles/hour.
If John stops at the 25% mark that means he travels 25 miles in 2.5 hours. It would take Karen t=d/r t=75/15 = 5 hours to reach john. If John had not stopped, their combined rate would 10+15 = 25 miles/hour meaning they would have met in 4 hours. Therefore, she ran one hour longer (25%) longer than she would have needed to if John ran for the entire time.
ANSWER: A) 25%
Question: If 1+2+3+...+n=n (n+1), then 3 (1+3+5+....+79)=?
A.4500
B.4250
C.4350
D.4800
Answer: D.4800
Explanation: Explanation :
To solve this use the formula of AP,
Sn= (n/2)(a+l) ................(1)
To find n, use
=> Tn= a+(n-1)d
=> 79=1+(n-1)2
=> n=40
Use value of n in (1)
then,
Sn = (40/2)(1+79) = 1600
Ans:- 3(Sn) = 4800
Answer : D
Question: Look at this series: 72, 76, 73, 77, 74, __, 75, ... What number should fill the blank?
A.70
B.71
C.75
D.78
Answer: D.78
Explanation: Explanation: This series alternates the addition of 4 with the subtraction of 3.
Answer: Option D
Question: In a friendship gang Raja has 9 gang, in how many ways can he invite one or more of the gang to his house?
A.124
B.587
C.987
D.511
Answer: D.511
Explanation: Raja can select one or more than one of his 8 gang.
=> Required number of ways = 2^9 – 1= 511.
D
Question: The average height of 20 girls out of a class of 50 is 142 cm. and that of the remaining girls is 149 cm. The average height of the whole class is :
A.146.2 cms
B.146.5 cms
C.146.9 cms
D.142.2 cms
Answer: A.146.2 cms
Explanation: Explanation:
Average height of the whole class =(20×142+30×149/50)=146.2 cms
Answer A
Question: A certain bag contains 60 balls — 22 white, 18 green, 5 yellow, 6 red, and 9 purple. If a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple?
A.0.09
B.0.15
C.0.54
D.0.75
Answer: D.0.75
Explanation: According to the stem the ball can be white, green or yellow, so the probability is (white + green + yellow)/(total) = (22 + 18 + 5)/60 = 45/60 = 0.75.
Answer: D.
Question: A boy runs 200 metres in 60 seconds. What is his speed ?
A.12 km/hr
B.24 km/hr
C.13 km/hr
D.14 km/hr
Answer: A.12 km/hr
Explanation: 200/60 * 18/5 = 12 km/hr
ANSWER:A
Question: In a certain state, the ratio of registered Republicans to registered Democrats is 3 to 2, and every registered voter is either a Republican or a Democrat. If 75 percent of the Republicans and 15 percent of the Democrats are expected to vote for Candidate X, and everyone else is expected to vote for Candidate Y, by what percent is Candidate X expected to win the election?
A.2%
B.5%
C.8%
D.10%
Answer: A.2%
Explanation: Since we were expected to find a percentage figure - It thought that it might be easier to pick a 'smart number' to represent the total number of voters (republicans and democrats). Therefore, I picked 100 (as the total number of voters) and thus 3:2 ==60:40 represents the number ratio of Republicans:Democrats. If 75% of Republicans (which is (60*0.75) = 45) and 15% of Democrats (40*0.15 = 6) voted for candidate X, means that out of total of 100 voters; 51 (45 + 6) voters voted for candidate X and 49 voted for candidate Y. Thus we can infer that candidate X is expected to win the election by 2 (51-49) votes. Therefore candidate X is expected to win the election by (2/100) votes which is equivalent to 2%.
I think the answer is A.
Question: A man spends 50% of his income on food, 15% on children education and 50% of the remaining on house rent. What percent of his income he is left with?
A.17.5%
B.16%
C.15.4%
D.12.6%
Answer: A.17.5%
Explanation: Let the total income be x
then, income left = (100-50)% of x - [100-(50+15)]% of x = 50% of 35% of x = 17.5% of x
Answer is A
Question: There are 12 points in a given plane, no three of which are on the same line. If one of the points is represented as 'A', then how many triangles can be determined with the 12 points that contain the point A?
A.55
B.105
C.182
D.210
Answer: A.55
Explanation: Any 2 points out 11 points will create triangle with third point A, so the answer is 11C2=55.
Answer: A.
Question: The monthly income of Suman in the year 2009 was approximately what percentage of the monthly income of Jyothi in the year 2010?
A.22
B.27
C.26
D.29
Answer: C.26
Explanation: Answer:C
Question: Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.
A.906
B.900
C.960
D.450
Answer: C.960
Explanation: Explanation:
Distance= speed * Time
60(x + 1) = 64x
X = 15
60 * 16 = 960 km
Answer: C
Question: The length of rectangle is thrice its breadth and its perimeter is 96 m, find the area of the rectangle?
A.432
B.197
C.279
D.269
Answer: A.432
Explanation: 2(3x + x) = 96
l = 36 b = 12
lb = 36 * 12 = 432
Answer: A
Question: The letters B,G,I,N and R are rearranged to form the word 'Bring'. Find its probability.
A.1/120
B.1/235
C.1/24
D.1/76
Answer: A.1/120
Explanation: Explanation :
There are total 5 letters. The probability that B gets the first position is 1/5.
The probability that G is in the second position is 1/4.
Likewise, probability for I,N and G are 1/3, 1/2 and 1/1.
Hence, the required probability is:-
=> (1/5) x (1/4) x (1/3) x (1/2) x 1.
=> 1/120.
Answer : A
Question: What is the 25th digit to the right of the decimal point in the decimal form of 6/11?
A.3
B.4
C.5
D.6
Answer: C.5
Explanation: Explanation:
To determine the greatest possible number of members, first recognize that each member had to contribute the lowest amount given. Build an inequality for the individual contributions and the total amount collected, with n=the number of members in the club, and solve for n.
12n≤599
n≤49 11/12
Since n represents individual people it must be a whole number. Thus the greatest number of people is 49.
Answer: Option C
Question: Subtracting 10% from X is the same as multiplying X by what number?
A.70%
B.90%
C.50%
D.97%
Answer: B.90%
Explanation: X - (10/100) X = X * ?
? = 90%
Answer: B
Question: A girl has exactly 6 quarters, 6 dimes, and 10 nickels in her pocket. If she withdraws a number of these coins at random, how many coins would she have to withdraw to ensure that she has at least a 50 percent chance of withdrawing at least one quarter?
A.1
B.2
C.3
D.4
Answer: C.3
Explanation: When the probability of NOT drawing a quarter is 50% or less, then the probability of drawing a quarter is at least 50%.
P(not drawing a quarter with 2 coins) = 16/22 * 15/21 = 40/77 > 50%
P(not drawing a quarter with 3 coins) = 40/77 * 14/20 = 4/11 < 50%
The answer is C.
Question: In a ratio which is equal to 4:6, if the antecedent is 20, then the consequent is?
A.72
B.85
C.30
D.51
Answer: C.30
Explanation: We have 4/6 = 20/x
4x = 20*6
x = 30
consequent = 30
Answer is C
Question: A certain team has 14 members, including Joey. A three-member relay team will be selected as follows: one of the 14 members is to be chosen at random to run first, one of the remaining 13 members is to be chosen at random to run second, and one of the remaining 12 members is to be chosen at random to run third. What is the probability that Joey will be chosen to run second or third?
A.1/3
B.2/5
C.1/6
D.1/7
Answer: D.1/7
Explanation: Each member has an equal probability to run second (1/14) or third (1/14).
The probability that Joey runs second or third is 1/14 + 1/14 = 1/7
The answer is D.
Question: When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?
A.Rs. 21,000
B.Rs. 22,500
C.Rs. 25,300
D.Rs. 25,800
Answer: C.Rs. 25,300
Explanation: Explanation :
Let the C.P. of the plot = Rs. x
Given that x - 15% of x = 18700.
=> (85/100) * x = 18700
=> x = 22000
So the cost price (C.P.) of the plot = Rs. 22000
S.P. of plot for 15% profit = 22000 + 15% of 22000 = 22000*(115/100) = 25300
Answer : C
Question: The ratio of a to b is 4 to 5, where a and b are positive. If x equals a increased by 25 percent of a, and m equals b decreased by 60 percent of b, what is the value of m/x?
A.1/3
B.2/5
C.3/4
D.3/2
Answer: B.2/5
Explanation: a/b = 4/5
m/x = (2/5)*5 / (5/4)*4 = 2/5
The answer is B.
Question: The sum of two consecutive integers is 61. Find the numbers.
A.17, 18
B.30,31
C.5, 6
D.1, 2
Answer: B.30,31
Explanation: n + (n + 1) = 61
2n + 1 = 61
2n = 60
n = 30
Answer: B
Question: Average between 2 sets of numbers is closer to the set with more no's?
A.70
B.80
C.90
D.92
Answer: B.80
Explanation: If on a test three people answered 90% of the questions correctly and two people answered 80% correctly, then the average for the group is not 85% but rather 3×90+2×805=4305=86.3×90+2×805=4305=86.
Here, 90 has a weight of 3 => it occurs 3 times.
Whereas 80 has a weight of 2 => it occurs 2 times.
So the average is closer to 90 than to 80 as we have just calculated.
B
Question: If the wheel is 14 cm then the number of revolutions to cover a distance of 1408 cm is?
A.A)16
B.B)10
C.C)14
D.D)12
Answer: A.A)16
Explanation: 2 * 22/7 * 14 * x = 1408 => x = 16
ANSWER:A
Question: If it takes a machine 4⁄5 minute to produce one item, how many items will it produce in 2 hours?
A.1⁄3
B.150
C.80
D.120
Answer: B.150
Explanation: 1 item takes 4/5 min so it takes 120 min to produce x
4x/5=120 the x=150
Answer:B
Question: If points A and B are (4+1) units apart, which of the following can have only one possible value?
I. The area of a square region with side AB
II. The circumference of a circle passing through points A and B
III. The area of a rectangular region with diagonal AB
A.I only
B.II only
C.III only
D.I and II only
Answer: A.I only
Explanation: I. The area of a square region with side AB --> side=AB=(4+1) or 5 --> the area of a square is 5^2=25, so only one possible value;
II. The circumference of a circle passing through points A and B --> circle is not defined by only two points, hence the circumference of a circle passing through points A and B can take infinitely many values. For example consider when AB=diameter and when points A and B are not the endpoints of the diameter;
III. The area of a rectangular region with diagonal AB --> consider the case when AB is the diagonal of a square (the area is 25/2) and the case when AB is the diagonal of a rectangle with the sides equal to 3 and 4 (the area 12).
Answer: A.
Question: In a party attended by 10 persons, each clinch their glass with every other. How many glass clinches?
A.45
B.52
C.53
D.54
Answer: A.45
Explanation: Total no. of person = 11
Total no. of glass clinches = n(n-1)/2
=10*9/2
= 45
ANSWER:A
Question: If the positive integer y is divisible by 3, 8, and 12, then which of the following must y be divisible by?
I. 24
II. 36
III. 48
A.I only
B.II only
C.I and II only
D.II and III only
Answer: A.I only
Explanation: y needs to be divisible by 3, 8 and 12. This means that it must be the LCM of 3, 8 and 12 or a multiple of the LCM. The LCM is the smallest number which is divisible by all 3 numbers.
LCM of 3, 8 and 12 will be 3*8 = 24
Now y must be either 24 or a multiple of 24. In any case it will always be divisible by 24.
Will it be divisible by 36 necessarily? No. Say if y is 24, it will not be divisible by 36.
Will it be divisible by 48 necessarily? No. Say if y is 24, it will not be divisible by 48.
Answer (A)
Question: How many possible integer values are there for x if |6x - 3| < 6 ?
A.One
B.Two
C.Three
D.Four
Answer: B.Two
Explanation: Solution: |6x-3| < 6
let 6x=a therefore we have |a-3| < 6 ==> read this as origin is at +3 and we have to move +6 to the right and -6 to the left
(the less than sign represents that the a must be within boundaries )
(3-6)----------3----------(3+6)
now, we have -3<a<9
but a =6x ==> -3<6x<9
dividing all values by +4 we have -0.5 <x < 1.5
Now question says Integer values (not rational ) therefore we have 0,1
Hence 2 B
Question: If |x - 8| = x, then x=?
A.8
B.4
C.-4
D.0
Answer: B.4
Explanation: |x - 8| = x ...(given)
x^2 - 16x + 64 = x^2
0*x^2 + 16*x -64 = 0 ....(by solving above eq. we get) , x = 4 ===> Ans - B
Question: At what rate percent per annum will a sum of money double in 8 years.
A.12.5%
B.13.5%
C.11.5%
D.14.5%
Answer: A.12.5%
Explanation: Explanation:
Let principal = P, Then, S.I.=P and Time=8 years
Rate = [(100 x P)/ (P x 8)]% = 12.5% per annum.
Answer: A
Question: 225 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees
A.10
B.12
C.15
D.17
Answer: A.10
Explanation: 26 trees have 25 gaps between them,
Required distance (225/25) = 10
A
Question: How many multiples of 5 are there between 5 to 100?
A.9
B.18
C.17
D.none of these
Answer: B.18
Explanation: Explanation :
As you know, multiples of 5 are integers having 0 or 5 in the digit to the extreme right (i.e. the units place).
So the numbers are 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95.
Answer : B
Question: If V is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of V?
A.10
B.12
C.14
D.16
Answer: C.14
Explanation: V = 30!
8
V = 30 x 29 x 28 x 27 x 26 x 25 x 24 x 24 x 22 x 21 x 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11 x 10 x 09 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
Out of these 30 , 27 , 24 , 21 , 18, 15 , 12 , 09 , 06 , 3 are factors of 3
3 x 10 , 3 x 3 x 3 , 3 x 8 , 3 x 3 x 2, 3 x 5 , 3 x 4 , 3 x 3 x 3 , 3 x 2 , 3
So we have a total of 14 three's ...
Therefore the maximum value of K can be 14 (C)
Question: Which of the following is the equation of the line in the xy-plane that has slope 0
(I) x = 3
(II) y = 3
(III) x + y = 0
A.II
B.I
C.III
D.I&II
Answer: A.II
Explanation: y =mx+c therefore y-c= mx then m =(y-c)/x
m=0 means y = c constant ..= II
A
Question: The cost of the paint is rs.20 per kg. if 1kg of paint covers 15 sq.ft, how much will it cost to paint outside of a cube having 5 feet each side
A.Rs.200
B.Rs.672
C.Rs.546
D.Rs.876
Answer: A.Rs.200
Explanation: Explanation:
surface area of a cube= 6 x 5^2 = 150 sq.ft
quantity of paint required=(150/15)=10 kg
cost of painting= 20 x 10 = Rs.200
Answer: A
Question: Find the average of first 30 natural numbers.
A.20.5
B.15.5
C.19.5
D.19
Answer: B.15.5
Explanation: Exp. Sum of first n natural numbers = n( n+1)/2
So, sum of first 30 natural numbers = 30*31/2 = 465
Required average =465/30 =15.5
Answer:B
Question: If there are 56 laborers in a crew, and on a certain day, 30 were present. Calculate the percentage that showed up for work? (round to the nearest tenth).
A.53.6%
B.52.6%
C.54.6%
D.55.6%
Answer: A.53.6%
Explanation: 30/56*100=53.57
53.6%
correct answer A
Question: A, B and C can do a piece of work in 24, 30 and 40 days respectively. They start the work together but C leaves 4 days before the completion of the work. In how many days is the work done?
A.15 days
B.14 days
C.13 days
D.11 days
Answer: D.11 days
Explanation: Explanation:
x/24 + x/30 + x/40 = 1
x = 11 days
Answer: D
Question: Two horses begin running on an oval course at the same time. One runs each lap in 8 minutes; the other takes 12 minutes to run each lap. How Many minutes after the start will the faster horse have a one lap lead?
A.24
B.12
C.9
D.4
Answer: A.24
Explanation: The rate of the faster horse is 1/8 lap/minute;
The rate of the slower horse is 1/12 lap/minute;
Their relative rate is 1/8-1/12=1/24 lap/minute;
The faster horse to gain one full lap will need time=distance/rate=1/(1/24)=24 minutes.
Answer: A.
Question: In how many different number of ways 4 boys and 2 girls can sit on a bench?
A.720
B.740
C.760
D.780
Answer: A.720
Explanation: npn = n!
6p6 = 6 × 5 × 4 × 3 × 2 × 1 = 720
A
Question: A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years ?
A.3 : 4 : 8
B.3 : 4 : 7
C.3 : 4 : 2
D.3 : 4 : 1
Answer: B.3 : 4 : 7
Explanation: A : B : C = (40000 x 36) : (80000 x 12 + 40000 x 24) : (120000 x 24 + 40000 x 12)
= 144 : 192 : 336
= 3 : 4 : 7.
Answer: B
Question: The sum of all the digits of the integers from 18 to 21 inclusive is 24 (1 + 8 + 1 + 9 + 2 + 0 + 2 + 1 = 24). What is the sum R of all the digits of the integers from 0 to 99 inclusive?
A.450
B.810
C.900
D.1000
Answer: C.900
Explanation: We want the sum of the digits from 0 to 99, so I approximated:
0-9 ->45-> (9+0)*10/2
40-49 ->85(13+4)*10/2
90-99 ->135(18+9)*10/2
We can see at a glance that theweightgoes up as the numbers go up (meaning the difference between 85 and 45 is 40, while 135-85 is 50, this means that the second part of this sequence carries more weight for our result), so we know that the final answer has to be more than 850 (85*10) but close to it, and that's just R=900:the answer is C.
Question: How many positive factors do 150 and 90 have in common?
A.8
B.12
C.16
D.18
Answer: A.8
Explanation: The number of common factors will be same as number of factors of the Highest Common Factor(HCF)
HCF of 150 and 90 is 30
Number of factors of 30 = 8
Answer :A
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively . If they cross each other in 23 seconds, what is the ratio of their speeds?
A.1:3
B.3:1
C.2:3
D.3:2
Answer: D.3:2
Explanation: Let the speed of the trains be x and y respectively
length of train1 = 27x
length of train2 = 17y
Relative speed= x+ y
Time taken to cross each other = 23 s
= (27x + 17 y)/(x+y) = 23
= (27x + 17 y)/ = 23(x+y)
= 4x = 6y
=x/y = 6/4 = 3/2 i.e 3:2
Answer :D
Question: John was thrice as old as Tom 6 yrs back. He will be 5/3 times as old as Tom 6 years hence. How old is Tom today?
A.7
B.8
C.12
D.14
Answer: C.12
Explanation: Sol. RMBflSk -6 = 3 (Ravi - 6) ...(j)
and Rupesh + 6 = | (Ravi + 6) ...(ii)
Solving both the equations we get,
Ravi = 12 years.
C