61. Let
the number be X. then,
1/5 X -1/7 X =10
7X – 5X /35 = 10
2X /35 =10
X = (10 x 35/2) = 175.
62. 9
* 11 =9²
+ (11)²
-9 11 = 81 + 121 -99 =103.
63. (3*
-1) = 3 x (-1) / (3 + (-1) = -3/2. So, 3* (3* -1) =3* (-3/2) = 3 x (-3/2)/3 +
(-3/2) = -9/2 x 2/3= -3.
64. 3
* 5 + 5+ 3 = ( 2 x 3 – 3 x 5 + 3 x 5) + (2 x 5 -3 x 3 + 5 x 3)
= ( 6 + 10 – 9 + 15) = 22.
65. 4
+ (3 + p) = 4 + (3² + 2p) =4 + (9 + 2p) =4² + 2 (9 + 2p) =34 + 4p.
34 + 4p =50
4p =50 -34 =16
P=4.
66. (a
* b * c) * a * b = ( a + b /c) * a * c = ( a + /c /b = a + b + ac/b c
67. Let
the number be X. then,
5 ( X + 7) /9 – 3 = 12
5 (X + 7) -27 =108
5X + 35 = 135
5 X = 100
X =20.
68. Given
exp. = (5/7 x 19/13 ) ÷ ( 19 /7 x 4/13) = 5 x 19 / 7x 13 x 7 x 13 /19 x 4 =5/4.
69. Given
exp. = 11/4 ÷
8/3 ÷
13/12 = 11/4 x 3/8 x 12/13 = 99/104.
70. Given
exp. = 9/2 x 13/3 – 25/3 ÷ 17/3 = 9/8 x 13 x 3 – 25 / 3 x 3/17.
=
39/2 – 25 / 17 = 663 – 50 / 34 = 613 / 34 = 18 1/34.
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