151. Let
the number of pineapples and watermelons be X and y respectively.
Then, 7X + 5y = 38 or 5y =
(38 – 7x ) or y = 38 – 7x / 5.
Clearly, y is a whole number,
only when ( 38 -7x ) is divisible by 5. Then
happens when X = 4.
152. Let
number of boys = X. then, number of girls = 5x.
Total
number of children = ( X + 5X ) = 6x.
Thus,
the total number of children must be a multiple of 6.
153. Let
F and C denote the temperatures in Fahrenheit and Celsius respectively.
Then,
F – 32 / 212 – 32 = c – 0/ 100 – 9 F –
32 /180 = C/ 100.
If c
= 35, then F = ( 35 / 100 x 180 ) + 32 = 63 + 32 = 95.
154. Let
D’s share =Rs. X. then, C’s share = Rs. X.
B’s
share = Rs. (X + 125).A’s share = Rs. (x + X+ 125) = Rs. (2X + 125)
(2X + 125 ) +( X + 125) +X + x = 750 5x = 5000 x = 100.
Hence,
A’s share = 2X + 125 = Rs. ( 2 x 100 + 125) = Rs. 325.
155. Let
Gagan’s share = Rs. X.