 Tuesday, 9 June 2015

1. 4 years ago Rahul’s age was 3/4 times that of Ravi .Four years hence Rahul’s age will be 5/6 times
that of Ravi. What is the present age of Rahul?
1) 20 years  2) 15 years  3) 24 years  4) 16 years  5) None of these
Solution: (4). Let us consider present year as 2014 so 4 years ago is 2010 and 4 years hence from 2014
is 2018. So the gap between 2010 and 2018 is 8 years. So the equation becomes
(3x+8) / (4x+8) = 5/6 then x= 4
Present age of Rahul is 3x+4 = 3(4) + 4 = 16 years

2. Mr.Sundaram owned 950 gold coins all of which he distributed amongst his three sons Lakshman,
Arun and Nagaraj . Lakshman gave 25 gold coins to his wife, Arun donated 15 gold coins and Nagaraj made jewellery out of 30 gold coins. The new respective ratio of the coins left with them was 20:73:83. How many gold coins did Arun receive from Mr.Sundaram?
1) 350  2) 400  3) 380  4) 415  5)None of these
Solution: (3). Total coins spent by the sons is 70 (25+15+30).
So remaining coins is 880 (950 - 70) .
Given ratio is corresponding to remaining coins.
So 20x + 73x + 83x = 880. Then x = 5.
So Arun received 73x+15 = 73(5) + 15 = 380. So he received 380 gold coins.

3. Abi invested in three schemes A,B and C . The amounts in the Ratio of 2:3:4 respectively. If the
schemes offered interest at 20 p.c.p.a. , 16 p.c.p.a and 15 p.c.p.a. respectively .What will be respective  ratio of the amounts after 1 year?
1) Cannot be determined   2) 10:8:5   3) 8:10:5   4) 15:14:12   5) None of these
Solution: (5). Let us consider the amount invested in three schemes A,B and C is 2x, 3x, 4x and assume
x = 100. Then they have 200,300,400.
As per interest rates Scheme A gets 20% which is 40 ( 200 x 20/100)
Similarly B gets 16% which is 48 ( 300 x 16/100)
Similarly C gets 15% which is 60 ( 400 x 15/100
So amount after 1 year is 240,348,460
then the ratio becomes 240:348:460 which is 60:87:115.
So answer is none of these

4. A sum of money divided among A, B, C and D in the ratio of 4:5:7:11 respectively .If the share of C is Rs.1351 then what is the total amount of money A and D together?
1) Rs. 2895  2) Rs.2316  3) Rs.2565  4) Rs.2123  5) None of these

Solution: (1). The ratio of A,B,C,D is 4x, 5x, 7x, 11x
It is given that share of C is 1351 then C = 7x = 1351, so solving x = 193.
Now question is A+D
Then A+D = 4x+11x = 15x = 15 x 193 = 2895. This is the share of A+D.

5. 38% of first number is 52% of second number .What is respective ratio of the first number to the
second number.
1) Cannot be determined    2) 16:9    3) 5:4   4) 26:19   5) None of these
Solution: (4) .let us consider first number as N1 and second number as N2
It is given 38% of N1 = 52% of N2
38% x N1 = 52% x N2
N1 / N2 = 52% / 38%
N1 / N2 = 52/38 further solving 26/19.
So N1:N2 = 26:19