Monday, 16 March 2015

EXERCISE 4 (OBJECTIVE TYPE QUESTIONS SOLUTION IN 161 170)

161.       Suppose snaked earns Rs. X in each of the other eleven months.

      Then, sanket’s earning in March = Rs. (2X)

      Sanket’s annual earning =Rs. (11 x + 2X) = Rs. (13X).

                                     Required fraction = 2x/ 13x = 1/13.

162.       Let the capacity of the tank be X litres, then, 1/3x = 80         X = 240

       1/2 X = 120.

163.       Distance travelled on foot = [7/2 – (5/3 + 7/6)] km = (7/2 – 17/6) km = 2/3 km.

      Required fraction = (2/3) / (7/2) = (2/3 +2/7) = 4/ 21.

164.       Let the required fraction be X. then,

      4/7 X + 4/7 = 15/14      4/7X (15/14 – 4/7 ) = 7/14 = ½    X = (1/2 x 7/4 ) = 7/8.

165.       Required fraction 2/3 of ¼ of Rs. 25. 10 / 3/2 of Rs. 36 = Rs.4.20 /Rs. 54 = 42 /540 =                                        7/ 90.

= 7/90

166.       Let the length of longer piece be X cm. the, length of shorter piece  =(2/X)cm

     X + 2/5X = 70    7X / 5 = 70              X = (70 x 5 / 7)  = 50.

     Hence, length of shorter piece = 2/5X = (2/5x 50) cm = 20cm.


167.       Let the whole amount be Rs. X the, A’s share = Rs. (3 /16X); B’s share = Rs. (X/4); 
and C’s share = Rs. [X – (3X / 16 + X /4 )] = Rs. (9X /16).

9x / 16 = 81          X = (81 x 16 / 9)  = 144.

Hence, B’s share = Rs.(144/4 ) = Rs. 36.

168.       Green portion = [ 1 – (1 /10 + 1/20 + 1/30 + 1/40 + 1/50 + 1/60)]

= [1 – 1/10 ( 1 + ½ + 1/3 + ¼ + 1/5 + 1/6 ) ] = 1 – 1/10 x 147 / 60 = 1  - 147 / 600 = 453 / 600.

Let the length of the pole be X metres.

The, 453 / 600 X = 12.08   x = (12.08 x 600  /453) = 16.

169.       Let the number be X. then,

    3/4 X – 3/14 X = 150       21X -6 X = 150 x 28      15X = 150 x 28       X = 280.

                                    X = 280

170.   Let the sum be Rs. X. then,

     8/3 X – 3/8X = 55      64X – 9X = 55 x 24        X = (55x 24 /55 ) = 24.


     Correct answer = Rs. (3/8 x 24) = Rs. 9. 

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