# The sum of three prime numbers is 101. The difference of two of them is 24. What are the numbers?

15. The sum of three prime numbers is 101. The difference of two of them is 24. What are the numbers?

A. 5, 59, 37
B. 41, 53, 7
C. 11, 37, 53
D. 3, 61, 37
ANS: D

EXPLANATION:
Clue: go with options.
3+61+37 = 101
61 – 37 = 24

16. If 18% of the total number of oranges in a basket is 36. Then the total number of oranges is

A. 100
B. 150
C. 200
D. 300
ANS: C

EXPLANATION:
(36/18)×100 = 200

17. The ratio of the prices of two cows was 23:16. Two years later the price of the first cow rises by Rs.477 and that of the second by 10% and the ratio of their pries become 20:11. Find the original prices

A. Rs. 1219, Rs. 848
B. Rs. 1218, Rs. 848
C. Rs. 1210, Rs. 850
D. Rs. 1219, Rs. 840
ANS: A

EXPLANATION:

(23X+477) / [16X + (10/100)] × 16X = 20/11
(23X+477) × 11 = 20 × [16X + (16/10) X]
253X+477×11 = 320X + 32 X
253X+477×11 = 352X
99X = 477×11
X= 477× 11/99
X = 53

23X = 23×53 = 1219
16X = 16×53 = 848

18. A ladder of 25 ft length reaches a window which is 24 ft above the ground level on one side of the street. Keeping its foot at the same point the ladder is turned the other side of the street and now reaches a window of 7 ft high. Then width of the street

A. 30
B. 32
C. 29
D. 31
ANS: D

 EXPLANATION: According to Pythagoras theorem a = root of (252- 242)= root of (49)=7 b = root of (252- 72)= root of (576)=24

Width of the street a + b=7+24 = 31