Banking Sample Paper SBI Junior Associates (Main) Sample Paper Test-2

  • question_answer
    The present age of P is equal' to Q's age three years ago. The ratio of the present age of P to that of R is 4 : 3. If Q is 7 years older than R, then what is Q's present age? (in years)

    A)  19                              

    B)  21

    C)  16                  

    D)       24

    E)  18

    Correct Answer: A

    Solution :

    Let the present age of P, Q and R be x, y and z years respectively. Then                P : Q : R Percentage       P : Q : R Now, P = Q - 3 or, Q = P + 3 ?          ... (i) Again, according to the question, \[\frac{\text{P}}{\text{R}}\text{=}\frac{\text{4}}{\text{3}}\] Or, \[\text{R=}\frac{\text{3P}}{\text{4}}\]               ? (ii) And \[\text{Q=R+7}\]                        ? (iii) Using (i) and (ii), in equation (iii), we get \[\frac{\text{3P}}{\text{4}}\text{+7=P+3}\] or, 3P + 28 = 4P + 12 or, 4P - 3P = 28 - 12 \[\therefore \text{P=16}\] \[\therefore \text{Q }\!\!'\!\!\text{ s present age =16+3=19 years}\]


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