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Ratio and Propotion

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Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is: A. 2 : 5 B. 3 : 5 C. 4 : 5 D. 6 : 7 Answer:  Option  C Explanation: Let the third number be  x . Then, first number = 120% of  x  = 120 x = 6 x 100 5 Second number = 150% of  x  = 150 x = 3 x 100 2  Ratio of first two numbers = 6 x : 3 x = 12 x  : 15 x  = 4 : 5. 5 2 A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share? A. Rs. 500 B. Rs. 1500 C. Rs. 2000 D. None of these Answer:  Option  C Explanation: Let the shares of A, B, C and D be Rs. 5 x , Rs. 2 x , Rs. 4 x  and Rs. 3 x  respectively. Then, 4 x  - 3 x  = 1000   x  = 1000.  B's share = Rs. 2 x  = Rs. (2 x 1000) = Rs. 2000. 3. Seats for Mathematics, Physics and Biology in a school are i...

Who is the black sheep..?(ODD MAN OUT AND SERIES)

1 3, 5, 11, 14, 17, 21 A. 21 B. 17 C. 14 D. 3 Answer:  Option  C Explanation: Each of the numbers except 14 is an odd number. The number '14' is the only EVEN number. 2. 8, 27, 64, 100, 125, 216, 343 A. 27 B. 100 C. 125 D. 343 Answer:  Option  B Explanation: The pattern is 2 3 , 3 3 , 4 3 , 5 3 , 6 3 , 7 3 . But, 100 is not a perfect cube. 3. 10, 25, 45, 54, 60, 75, 80 A. 10 B. 45 C. 54 D. 75 Answer:  Option  C Explanation: Each of the numbers except 54 is multiple of 5 4. 396, 462, 572, 427, 671, 264 A. 396 B. 427 C. 671 D. 264 Answer:  Option  B Explanation: In each number except 427, the middle digit is the sum of other two. 5. 6, 9, 15, 21, 24, 28, 30 A. 28 B. 21 C. 24 D. 30 Answer:  Option  A Explanation: Each of the numbers except 28, is a multiple of 3. 6. 1, 4, 9, 16, 23, 25, 36 A. 9 B. 23 C. 25 D. 36 ...

Age Calculation Problems

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1 Father is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronit's age. After further 8 years, how many times would he be of Ronit's age? A. 2 times B. 2  1 times 2 C. 2  3 times 4 D. 3 times Answer:  Option  A Explanation: Let Ronit's present age be  x  years. Then, father's present age =( x  + 3 x ) years = 4 x  years. (4 x  + 8) = 5 ( x  + 8) 2  8 x  + 16 = 5 x  + 40  3 x  = 24   x  = 8. Hence, required ratio = (4 x  + 16) = 48 = 2. ( x  + 16) 24 2. The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child? A. 4 years B. 8 years C. 10 years D. None of these Answer:  Option  A Explanation: Let the ages of children be  x , ( x  + 3), ( x  + 6), ( x  + 9) and ( x  + 12) years. Then,...