SBI PO Quantitative aptitude practice set 22

1 . Directions (1-5): What approximate value should come in place of the question mark (?) in the following questions? (Note you are not expected to calculate the exact values.) $Q.$ $(1513)^ 2$ = ? × 3294 A.   688 B.   674 C.   700 D.   695 2 . (8531 + 6307 + 1093) ÷ (501 + 724 + 396) = ? A.   19 B.   10 C.   16 D.   13 3 . (682% of 782) ÷ 856 = ? A.   4 B.   10 C.   12 D.   6 4 . $\sqrt{197}$ + $\sqrt{365}$ = ? A.   25 B.   33 C.   44 D.   22 5 . (54 × 154) ÷ (34 × 134) = ? A.   13 B.   3.00 C.   4 D.   2.00 6 . Directions (6-8): What should come in place of question mark (?) in the following number series. $Q.$ $10\,\,\, 22 \,\,\,8 \,\,\,24 \,\,\,6 \,\,\,?$ A.   16 B.   18 C.   12 D.   26 7 . $60.5\,\,\, 72 \,\,\,84.5 \,\,\,98 \,\,\,112.5 \,\,\,?$ A.   125 B.   122 C.   126 D.   None of these 8 . $96\,\,\, 107 \,\,\,129 \,\,\,162 \,\,\,206\,\,\, ?$ A.   258 B.   261 C.   256 D.   260 9 . 75% of a number is 380 more than 35% of the same number. What is 20% of that number? A.   190 B.   195.5 C.   189.5 D.   180 10 . The ratio of the length of a rectangle to its breadth is 4 : 3 and the area of the rectangle is 1728 sq cm. What is the ratio of the breadth to area of the rectangle? A.   1 : 38 B.   1 : 24 C.   1 : 42 D.   1 : 48

Answers & Solutions   1 .     Answer : Option D Explanation : $(1513)^ 2$ = ? × 3294 ? = $1513 \times 1513 \over 3294$ = 694.95 $\cong$ 695 2 .     Answer : Option B Explanation : ? = (8531 + 6307 + 1093) ÷ (501 + 724 + 396) = $15931\over 1621$ = 9.83 $\cong$ 10 3 .     Answer : Option D Explanation : ? = (682% of 782) ÷ 856 = $6.82 \times 782 \over 856$ $\cong$ $682 \times 8 \over 856$ = 6.23 $\cong$ 6 4 .     Answer : Option B Explanation : ? = $\sqrt{197}$ + $\sqrt{365}$ $\cong$ 14 + 19 = 33 5 .     Answer : Option D Explanation : ? = (54 × 154) ÷ (34 × 134) = 8316 ÷ 4556 $\cong$1.82 $\cong$ 2 6 .     Answer : Option D Explanation : The series follows the pattern as: 7 .     Answer : Option D Explanation : 8 .     Answer : Option B Explanation : 9 .     Answer : Option A Explanation : Let the number be x X $\times$ (75 – 35)% = 380 X = $380 \times 100 \over 40$ = 950 Now, 20% of 950 = 950 x $20\over 100$ = 190 10 .     Answer : Option D Explanation : Area = 4x × 3x = 1728 (Where 4x and 3x are the length and the breadth of the rectangle) $x^2$ = 144 x = 12 Now, 4x = 48 and 3x = 36 Reqd ratio = $36 \over 48 \times 36$ = $1\over 48$ = 1 : 48