1.The ratio of present ages of Manisha and Nitisha is 5:7.
Before one year Manisha's age was 3/2 of Nitisha's present age. Find the
difference b/w their present ages
ANS: 2/7 years
2 A vessel contains 350 ltrs of water. Its 3/10 empty. How
much more water can be filled in it.?
ANS:150
3.A completes a piece of work in 10 days, and B completes
the same work in 18 days. Both A and B started the work, but A left after some
days. Now B completed the remaining work in 6 4/5 days. Find the number of days
after which A left?
ANS: 4 days
4.A bottle contains a mixture of alcohol, acid and water in
the ratio 1 : 2 : 3, while another bottle contains the same in the ratio 2 : 3
: 4. If both the solutions are mixed in the ratio 5 : 9, then the percentage of
acid in the final solution is
ANS: 33.33%
5.Find out the number of words consisting of 3 consonants
and 2 vowels out of 8 consonants and 3 vowels available.
ANS: 20160
6.The sides of a triangle are in the ratio of 1/2 : 1/3
: 1/4. If the perimeter is 52cm, then the length of the smallest side is
ANS: 12 cm
7.Ques.3 Rs. 4536 is divided among 4 men, 5 women and 2
boys. The ratio of share of a man, a woman and a boy is 7 : 4 : 3. What is the
share of a woman?
ANS: Rs 336
8.124 215 342 511 ? 999
1) 695
2) 625
3) 728
4) 806
5) 573
9. 516 256 126 61 28.5 ?
1) 12.25
2) 16.75
3) 14.25
4) 20.20
5) 18.7
10. 7 21 50 109 ? 467
1) 198
2) 228
3) 372
4) 402
5) 275
SOLUTIONS
1. 5x-1/7x-1= 3/2*7X/7x-1
M age=5/7 yrs
N age=1 yrs
Difference is 2/7
yrs
2. empty : filled = 3 : 7 ,
7x=350 , x=50 , 3x=150
3. (1/10 + 1/18) * x + 1/18 * 34/5 = 1 ;
(1/10 + 1/18) * x =
1 – 17/45
14/90 * x = 28/45
4.Ratio of acid to alcohol+water in 1st solution = 2 : (1+3)
= 1 : 2
Ratio of acid to
alcohol+water in 2nd solution = 3 : (2+4) = 1 : 2
They are mixed in
ratio 5 : 9
So ratio of acid to
alcohol+water in final solution = 1/3 * 5 + 1/3 * 9 : 2/3 * 5 + 2/3 * 9 = 1 : 2
So, percentage of
acid = 1/(1+2) * 100 = 100/3 %
5.For consonants = 8C3 and for vowels = 3C2
And for 5 words
arrangement = 5!
So total 8C3 * 3C2
* 5!
6.Ratio of sides of the triangle = 1/2 : 1/3 : 1/4 = 6: 4: 3
Let the sides be
6k, 4k and 3k respectively.
13 K = 52
K = 4
Sides are 24 cm,
16cm and 12cm.
7. share of each women = 1680/5 =336
8. The series is
5^3 – 1 = 124
6^3 – 1 = 215
7^3 – 1 = 342
8^3 – 1 = 511
9^3 – 1 = 728
10^3 – 1 = 999
Reqd answer = 728
9. ANS: 12.25
10. ANS: 228
