SBI PO Simplification Questions and Answers Quiz 4

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$$ - $ 6$1\over4 $ + 5$1\over 3$ = ? A.   1$65\over 84$ B.   8$1\over 84$ C.   2$79\over 84$ 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+1$53\over 105$ = 4$53\over105$ 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$^?$ $\Rightarrow$64$^{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$79\over 84$