Q.11. One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident Fund ?
(A) Rs. 50,000
(B) Rs. 30,000
(C) Rs. 90,000
(D) Rs. 60,000
Q.12. A man has Rs.480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has?
(A) 60
(B) 45
(C) 90
(D) 75
Then x + 5x + 10x = 480
→ 16x = 480
∴ x = 30.
Hence, total number of notes = 3x = 90.
Q.13. If a - b = 3 and a2 + b2 = 29, find the value of ab.
(A) 12
(B) 10
(C) 18
(D) 15
= 29 - 9 = 20
ab = 10.
→ ab = 10.
Q.14. To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present?
(A) 35
(B) 10
(C) 58
(D) 62.5
(E) None of these
Then, the capacity of tank = 25x.
Q.15. 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) 80
(B) 20
(C) 200
(D) 100
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.
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