Simplification Questions and Answers Quiz 1

1 . DIRECTIONS (Qs. 1 to 10) :What will come in place of questions mark (?) in the following questions? $Q.$19.99 × 9.9 + 99.9 = ? A.   129.79 B.   297.801 C.   1009 D.   296.91 2 . $99 \times 21 - \sqrt[3]{?}$ = 1968 A.   1367631 B.   111 C.   366731 D.   1367 3 . $2 \over 7\times5 \over 6\times3 \over 8\times$? - 790 A.   8848 B.   8246 C.   8484 D.   8868 4 . $(41)^2+(38)^2\times(0.15)^2$ = ? A.   3125.0225 B.   1713.49 C.   3125.15 D.   59204.0225 5 . $\sqrt{100000}$ = ? A.   260 B.   277 C.   284 D.   316 6 . 456.675 + 35.7683 × 67.909 – 58.876 = ? A.   33382 B.   3587 C.   1540 D.   2830 7 . (7684 + 5454 + 9041) $\div$ (601 + 296 + 557) = ? A.   24 B.   15 C.   33 D.   9 8 . ${ (52)^2 + (45)^2 }$ $\div$ ? = 8 A.   611.345 B.   487.225 C.   591.125 D.   372.425 9 . $(64)^4 + (5)^5$ = ? A.   $(8)^{12}$ B.   $(8)^{8}$ C.   $(8)^{4}$ D.   None of these 10 . $(12.25)^2 - \sqrt{625}$ = ? A.   235.1625 B.   125.0625 C.   375.2625 D.   465.3625

Answers & Solutions   1 .     Answer : Option B Explanation :   2 .     Answer : Option A Explanation : $\sqrt[3]{?}$ = 99 x 21 - 1968 = 111 ? = $(111)^3$ = 1367631 3 .     Answer : Option A Explanation : ? - 790 $\times$ $7 \over 2\times6 \over 5\times8 \over 3$ = 79 x 8 x 14 = 8848 4 .     Answer : Option B Explanation : $(41)^2+(38)^2\times(0.15)^2$ = ? 1681 + 1444 × 0.0225 1681 + 32.49 = 1713.49 5 .     Answer : Option D Explanation : $\sqrt{100000}$ - ? = 0 $\sqrt {100 \times 100 \times 10}$ - 100$\sqrt{10}$ - 100 $\times$ 3.162 = 316.2 = 316 6 .     Answer : Option D Explanation : ? = 456.675 + 35.7683 × 67.909 – 58.876 = 456.675 + 2428.98 – 58.876 = 2885.66 – 66 – 58.876 = 2826.78 = 2830 7 .     Answer : Option B Explanation : ? = (7684 + 5454 + 9041) $\div$ (601 + 296 + 557) = 22179 $\div$ 1454 = 15.25 = 15 8 .     Answer : Option C Explanation : ? = ${ (52)^2 + (45)^2 }\over 8$ = $2704 \div 2025 \over 8$ = $4729 \over 8$ = 591.125 9 .     Answer : Option D Explanation : ? = $(64)^4\div(8)^5$ = $(8^2)^4 \div (8)^5$ = $(8)^{2 \times 4}$ $\div$ $(8)^5$ = $(8)^8$ $\div$ $(8)^5$ = $8^3$ 10 .     Answer : Option B Explanation : $(12.25)^2 - \sqrt{625}$ = ? = 150.0625 - 25 = 125.0625