Problem on Number

6. Ratio between two numbers is 5: 6 and their sum is 990 Find the smaller number? A)440 B)550 C)450 D)540 Answer : Option C Explanation: 5x + 6x = 990 x = 90 => 5x = 450 7. Sum of two numbers is 15. Two times of the first exceeds by 5 from the three times of the other. Then the numbers will be? A)12,6 B)10,5 C)6,3 D)8,4 Answer : Option B Explanation: x + y = 15 2x – 3y = 5 x = 10 y = 5 8. The difference between the three digit number and the number obtained by interchanging its digits is 297. The difference between the digits is? A)3 B)4 C)5 D)6 Answer : Option A Explanation: (100x + y) – (100y + x) = 297 99x-99y=297 99(x-y)=297 x – y = 3 9. If a number is subtracted from its square we get 462. Find the number? A)21 B)23 C)22 D)24 Answer : Option C Explanation: x2 – x = 462 => x =22 10. Two third of four- fifth of half of a number is 20, what is 40% of that number? A)30 B)20 C)35 D)40 Answer : Option A Explanation: if number is x,then x * 2/3 * 4/5 * 1/2 = 20 x = 75 75 * 40/100 = 30

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