EXERCISE 4 (OBJECTIVE TYPE QUESTIONS SOLUTION IN 71 80)

71.       Let 4335 / X ÷ 15/8 = 289 / 528 . then,

4335 / X = 289 / 528 x 15 / 8

4335 /X = 289 x 5 / 176 x 8

X = ( 4335 x 176 x 8/289 x 5  = 4224.

Missing digit =2.

72.       Let 16/3 – 11/3 ÷ 4/3 ÷ X + 16 /5 ÷ 6/5 = 7. Then,

16/3 – 11/3 x ¾ x 1/X + 16/5 x 5/6 = 7

16/3 – 11/4X + 8/3 =7

24/3 -11/4X =7

11/4X = 8-7 =1

4 X = 11

X = 11/4 = 2 ¾

73.       Given exp. = 9 – 11/9 of 36 / 11÷36 /7 of 7/9 = 9-1 =8.

74.       Let 5/6 ÷ 6/7 x    X -8/9 ÷ 8/5 + ¾ x 10/3 = 25/9. Then,

5/6 x 7/6 x  X – 8/9 x 5/8 + ¾ x 10/3 = 25/9

35 /36 X – 5/9 + 5/2 = 25/9.

35/36 X =25/9 + 5/9 + 5/9 – 5/2 = 10/3 -5/2

35/36 X = 5/6

X = (5/6  x 36/35) =6/7

75.       Given exp. = ¾ ÷ 9/4 of 2/3 (3-2/ 6) / (3 + 2/6)  x 10/3 + 5/6 = ¾ ÷3/2 – 1/6 x 6/5 x 10/3 + 5/6

= ¾ x 2/3 -2/3 + 5/6 = (1/2 -2/3 + 5/6) =(3 – 4 + 5)/6)

= 4/6 =2/3.

76.       7/3 + 1  ½ of 5/3 / 2 + 1  2/3 = 7/3 + 3/2 of 5/3 / 2 + 5/3 = 7/3 + 5/2 / 11/3 = 29/6 x 3 /11 = 29/22

Required answer = 29/22 – ¼ =58 – 11/44 = 47/44 = 1  3/44.

77.       Given exp. 1/3  + ¾ (6 -5/15) /5/3 of ¾ - 15 = 1/3 + ¾ x 1/15 /5/4 – 1/5 = ¼ + 1/20 / 25 -4 / 20 = 23 /60 x 20 /21 = 23 / 63.

78.       Given exp. 1/3 x 3 x 1/3 /1/3 ÷ 1/9  -  1/9  = 1/3 / 1/ 3 x 9 – 1/9  = 1/3 x 1/3 – 1/9 = 1/9 – 1/9 =0.

79.       Given exp. = ½ ÷ ¼ /1/2 ÷ ¼ = ½ x 4 / 2+ 1 /4 = 2 x 4/3 = 8/3 = 2  2/3

80.   Given exp. = 13/4 – 4/5 of 5/6  /   13/2 ÷ 1/5 – (3 / 10 + 106 /5)  = 13 / 4 – 2/3 / 13/3 x 5 – 215 / 10 = 31/12/ 65 /3 – 43 /2 = (31 /12 x 6) = 31 /2 = 15  1/2