Question
Nine years ago, the ratio of ages of Raj and Vijay was
5:7, respectively. Four years hence, the ratio of ages of Sanjay and Vijay will be 2:3, respectively. If Sanjay is 2 years younger than Raj, find the age of Raj, 'e' years hence from now, where 'e' is the fifth smallest two-digit prime number.Solution
ATQ Let the ages of Raj and Vijay 9 years ago be '5p' years and '7p' years, respectively. So, age of Sanjay 9 years ago = (5p - 2) years. ATQ, 
3 × (5p + 11) = 2 × (7p + 13) 15p + 33 = 14p + 26 14p - 15p = 26 - 33 p = 7 Since, 23 is the fifth smallest two-digit prime number. So, 'e' = 23 Therefore, age of Raj, 23 years hence = 5p + 9 + 23 = 5 × 7 + 32 = 35 + 32 = 67 years
4096 2048 514 64 4
...5     16     ?      66     119      200
...The number of terms in the sequence 5, 20, 80, 320,……………., 5120 is:
If Series II follows the same pattern as Series I, then determine the value of 'p'.
Series I: 36, 38, 48, 78, 146, 276
Series II: 49, __, __, __, __, p.
1 4 13 46 ? 976
...32 63 121 ? 453 889
...5Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 6.5 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 20 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 113.5 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 799 Â ...
366Â Â Â 276Â Â Â 196Â Â Â 126Â Â Â 66Â Â Â ?
Select the option in which the numbers are related in the same way as are the numbers of the following set.
(25, 18, 225)
16 4 2 1.5 1 1.875
...
Relevant for Exams:
