1.
ÃÂÃÂÃÂÃÂ is simplified to :
- (A) 1
- (B) 0.1
- (C) 0.01
- (D) 10
Solution:
Given expression : = $$\frac{441 × 16}{21 × 16 × 21}$$ = $$\frac{{7056}}{{7056}}$$ = 1
2.
- (A) 0.0125
- (B) 0.125
- (C) 0.25
- (D) 0.5
Solution:
$$\eqalign{ & {\text{Give}}\,{\text{expression}} \cr & = \frac{{{{\left( {0.1} \right)}^3} + {{\left( {0.02} \right)}^3}}}{{{2^3}\left[ {{{\left( {0.1} \right)}^3} + {{\left( {0.02} \right)}^3}} \right]}} \cr & = \frac{1}{8} \cr & = 0.125 \cr} $$
3.
6425 ÃÂÃÂÃÂÃÂÃÂÃÂÃÂ÷ 125 ÃÂÃÂÃÂÃÂÃÂà8 = ?
- (A) 41.12
- (B) 64.25
- (C) 411.2
- (D) 421.25
Solution:
Given expression : 51.4 × 8 = 411.2
4.
Solve this : ÃÂÃÂÃÂÃÂ ÃÂÃÂÃÂÃÂ = ?
- (A) 0.8
- (B) 1.45
- (C) 2.40
- (D) 3.25
Solution:
= $$\frac{0.0203 × 2.92}{0.0073 × 14.5 × 0.7}$$ = $$\frac{203 × 292}{73 × 145 × 7}$$ = $$\frac{4}{5}$$ = 0.8
5.
Solve : ÃÂàÃÂÃÂÃÂ÷ 8 = ?
- (A) 23.5
- (B) 53.5
- (C) 65.5
- (D) 33.5
Solution:
= $$\frac{17292}{33}$$ × $$\frac{1}{8}$$ = $$\frac{17292}{33 × 8}$$ = 65.5
6.
The value of (0.98) + (0.02) + 3 ÃÂÃÂÃÂÃÂÃÂÃÂ 0.98 ÃÂÃÂÃÂÃÂÃÂÃÂ 0.02 - 1 is :33
- (A) 0
- (B) 1
- (C) 1.09
- (D) 1.98
Solution:
Given expression : [(0.98)3 + (0.02)3 + 3 × 0.98 × 0.02 (0.98 + 0.02)] - 1 = (0.98 + 0.02)3 - 1 = (1)3 - 1 = 0
7.
Solve ÃÂÃÂÃÂÃÂÃÂÃÂ 6.99 + 626.96 = ?
- (A) 885
- (B) 725
- (C) 825
- (D) 650
Solution:
Given $$\sqrt {197} $$ × 6.99 + 626.96 ≈ $$\sqrt {196} $$ × 7 + 627 = 14 × 7 + 627 = 98 + 627 = 725
8.
The value of ÃÂÃÂ ÃÂÃÂ ÃÂÃÂ is :
- (A) 30
- (B) 34.8
- (C) 36.6
- (D) 41.4
Solution:
Given expression : $$\eqalign{ & = 35.7 - \left( {3 + \frac{1}{{\frac{{10}}{3}}}} \right) - \left( {2 + \frac{1}{{\frac{5}{2}}}} \right) \cr & = 35.7 - \left( {3 + \frac{3}{{10}}} \right) - \left( {2 + \frac{2}{5}} \right) \cr & = 35.7 - \frac{{33}}{{10}} - \frac{{12}}{5} \cr & = 35.7 - \left( {\frac{{33}}{{10}} + \frac{{12}}{5}} \right) \cr & = 35.7 - \frac{{57}}{{10}} \cr & = 35.7 - 5.7 \cr & = 30 \cr} $$
9.
11.71 - 0.86 + 1.78 - 9.20 = ?
- (A) 2.43
- (B) 3.13
- (C) 3.43
- (D) 4.13
Solution:
Given expression : = (11.71 + 1.78) - (0.86 + 9.20) = 13.49 - 10.06 = 3.43
10.
ÃÂÃÂ ÃÂÃÂ is equal to :
- (A) 0.20
- (B) 2.00
- (C) 20
- (D) 22
Solution:
$$\eqalign{ & \left( {\frac{{1.49 \times 1.49 \times 10 - 0.51 \times 0.51 \times 10}}{{1.49 \times 10 - 0.51 \times 10}}} \right) \cr & = \frac{{10\left[ {{{\left( {1.49} \right)}^2} - {{\left( {0.51} \right)}^2}} \right]}}{{10\left( {1.49 - 0.51} \right)}} \cr & = \left( {1.49 + 0.51} \right) \cr & = 2 \cr} $$