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# Simplification Questions and Answers Quiz 1

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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$$\times 5 \over 6$$\times$ $3 \over 8$ $\times$? - 790

 A.   8848 B.   8246 C.   8484 D.   8868
4 . $(41)^2+(38)^2$$\times (0.15)^2 = ?  A. 3125.0225 B. 1713.49 C. 3125.15 D. 59204.0225 5 . \sqrt{100000} = ?  A. 260 B. 277 C. 284 D. 316 6 . 456.675 + 35.7683 × 67.909 – 58.876 = ?  A. 33382 B. 3587 C. 1540 D. 2830 7 . (7684 + 5454 + 9041) \div (601 + 296 + 557) = ?  A. 24 B. 15 C. 33 D. 9 8 . { (52)^2 + (45)^2 } \div ? = 8  A. 611.345 B. 487.225 C. 591.125 D. 372.425 9 . (64)^4 + (5)^5 = ?  A. (8)^{12} B. (8)^{8} C. (8)^{4} D. None of these 10 . (12.25)^2 - \sqrt{625} = ?  A. 235.1625 B. 125.0625 C. 375.2625 D. 465.3625 Answers & Solutions 1 .  Answer : Option B Explanation : 2 .  Answer : Option A Explanation : \sqrt[3]{?} = 99 x 21 - 1968 = 111? = (111)^3 = 1367631 3 .  Answer : Option A Explanation : ? - 790 \times 7 \over 2$$\times$ $6 \over 5$$\times 8 \over 3 = 79 x 8 x 14 = 8848 4 .  Answer : Option B Explanation : (41)^2+(38)^2$$\times$ $(0.15)^2$ = ?1681 + 1444 × 0.02251681 + 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