## Wednesday, 15 March 2017

1 . Directions (1-10):What should come in place of the question mark (?) in the following questions ?

$Q.$ $9\div2\times27\div9\over18\div7.5\times5\div4$ = ?

 A.   4.5 B.   5.7 C.   2.5 D.   6.8
2 . ?% of 280 + 18% of 550 = 143.8

 A.   11 B.   18 C.   21 D.   16
3 . 8.88 × 88.8 × 88 = ?

 A.   38301.142 B.   79391.642 C.   65365.824 D.   None of these
4 . $\sqrt{\sqrt{2500} + \sqrt{961}}$ = $(?)^2$

 A.   81 B.   3 C.   6561 D.   9
5 . 1$4\over7$+ 1$3\over 5$ + 1$1\over 3$ = ?

 A.   5$47\over105$ B.   4$58\over105$ C.   4$53\over105$ D.   5$43\over105$
6 . 15 : 66 : : 185 : ?

 A.   824 B.   814 C.   644 D.   604
7 . 64$^{12}$ $\div$ 4$^{15}$ = 64$^?$

 A.   9 B.   3 C.   12 D.   7
8 . 14% of 80 + ?% of 90 = 31.9

 A.   16 B.   23 C.   18 D.   26
9 . $\sqrt{97344}$ = ?

 A.   302 B.   322 C.   292 D.   None of these
10 . 3$6\over 7$$- 61\over4 + 51\over 3 = ?  A. 165\over 84 B. 81\over 84 C. 279\over 84 D. None of these Answers & Solutions 1 .  Answer : Option A Explanation : ? = [9\over 2$$ \times$ $27\over 9$] $/$ $18\over 7.5$ $\times $$5\over 4 = 13.5\over 3 = 4.5 2 .  Answer : Option D Explanation : 280 \times ? \over 100 + 550 \times 18 \over 100 = 143.8\Rightarrow 280 × ? + 9900 = 143.8 × 100 = 14380\Rightarrow 280 × ? = 14380 – 9900 = 4480? = 4480 \over 280 = 16 3 .  Answer : Option D Explanation : ? = 8.88 × 88.8 × 88 = 69391.872 4 .  Answer : Option B Explanation : ?^2 = \sqrt{50 + 31} = \sqrt {81} = 9? = \sqrt{9} = 3 5 .  Answer : Option C Explanation : ? = 1+4\over 7 + 1 + 3\over 5 + 1 + 1\over 3? = (1+1+1)+[4\over7+3\over5+1\over 3]? = 3 + 60 + 63 + 35 \over 105 = 3+158 \over 105? = 3+153\over 105 = 453\over105 6 .  Answer : Option B Explanation : 15\over 66 = 185\over ?$$\Rightarrow$ 15 x ? = 185 x 66? = $185 \times 66\over 15$ = 814
7 .
 Answer : Option D Explanation : 64$^{12}$ $\div$ 4$^{15}$ = 64$^?$$\Rightarrow64^{12} \div (4^3)^{5} = 64^?$$[(a^m)^n = a^{mn}]$$\Rightarrow 64^{12} \div 64^{5} = 64^?$$\Rightarrow$ 64$^{12 - 5}$ = 64$^?$\Rightarrow$64$^{7}$= 64$^?? = 7 $[a^m = a^n \Rightarrow m = n]$
8 .
 Answer : Option B Explanation : $80\times14\over100$+$90\times?\over100$ = 31.9$\Rightarrow$1120 + 90 × ? = 31.9 × 100 = 3190$\Rightarrow$90 × ? = 3190 – 1120 = 2070? = $2070\over 90$ = 23
9 .
 Answer : Option D Explanation : ? = $\sqrt{97344}$ = 312
10 .
 Answer : Option C Explanation : ? = 3 + $6\over 7$ - 6 - $1\over 4$ + 5 + $1\over 3$? = ( 3 - 6 + 5 ) + [$6\over7$ - $1\over 4$ + $1\over 3$ ]? = 2 +[$72 - 21 + 28 \over 84$]? = 2 + $79\over 84$ = 2$79\over 84$

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