| **Answers & Solutions ** | | 1 . | Answer : Option D | Explanation : | | | | 2 . | Answer : Option D | Explanation : | n(S) = 6 × 6 = 36
E = {(1, 1), (1, 2), (1, 4), (1, 6), (2, 1), (2, 3), (2, 5), (3, 2), (3, 4), (4, 1), (4, 3), (5, 2), (5, 6), (6, 1), (6, 5)}
n(E) = 15
P(E) = $n(E)\over n(S)$ = $15\over 36$ = $5\over 12$ | | | 3 . | Answer : Option D | Explanation : | | | | 4 . | Answer : Option B | Explanation : | Ratio of time taken by Sunil and Raj = 140 : 100
= 7 : 5
Let Raj take x days to do the work.
7 : 5 : : 14 : x
Solving this x = 10 ie 10 days.
| | | 5 . | Answer : Option B | Explanation : | SI for 1 year = 964 – 945 = `19
SI for 4 year = 19 × 4 = `76
Amount = 945 – 76 = `869
| | | 6 . | Answer : Option A | Explanation : | | | | 7 . | Answer : Option B | Explanation : | | | | 8 . | Answer : Option D | Explanation : | Let the numbers be x and x + 2.
$(x + 2)^ 2$ – $x^ 2$ = 64
4x + 4 = 64
x = 15
Numbers are 15 and 17.
Sum = 15 + 17 = 32 | | | 9 . | Answer : Option A | Explanation : | | | | 10 . | Answer : Option B | Explanation : | | | | | |

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