Number System The average of five consecutive even numbers, p, q, r, s and t is 40. What is the product of 'r' and 's' ? 1480 1580 1780 1680 1480 1580 1780 1680 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x, x + 2, x + 4, x + 6, and x + 8Avg = x + x + 2 + x + 4 + x + 6 + x + 8/5 = 40Therefore, 5x + 20 = 200Therefore, x = 180/5 = 36Therefore, r = x + 4 = 40 s = x + 6 = 42Therefore, Product = 1680
Number System If 5/7 of a number is 145, what is 180% of that number ? 375.4 345.4 355.4 365.4 375.4 345.4 355.4 365.4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.∴ x x 5/7 = 145∴ x = 145 x 7/5 = 203Now, 203 x 180/100 = 365.4
Number System On dividing 2272 as well as 875 by 3-digit number N, we get the same remainder. The sum of the digits of N is: 11 12 10 13 11 12 10 13 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Clearly, (2272 - 875) = 1397, is exactly divisible by N.Now. 1397 = 11 * 127The required 3-digit number is 127, the sum of whose digit is 10.
Number System A bag contains eighteen 25-paise coins, seventeen 50-paise coins, twentytwo one-rupee coins, nine 2-rupee coins and three 5-rupee coins. What is the total amount in the bag (Ans in rupees) ? Rs. 79 Rs. 68 Rs. 74 Rs. 62 Rs. 79 Rs. 68 Rs. 74 Rs. 62 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Total = 18/7 + 17/2 + 22 + 9 x 2 + 3 x 5 = 4.5 + 8.5 + 22 + 18 + 15 = Rs 68
Number System The sum of a number and its reciprocal is one-eighth of 34. What is the product of the number and its square root? 32 27 None of these 8 32 27 None of these 8 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x. Then,x + 1/x = 34/8 8x2 - 34x + 8 = 0 4x2 - 17x + 4 = 0 (4x - 1)(x - 4) = 0 x = 4required number = 4 * √4 = 4 * 2 = 8.
Number System If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their square is: 180 28 160 12 180 28 160 12 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and y. Then, x + y = 20 and x - y = 8x2 - y2 = (x + y)(x - y) = 20 * 8 = 160.
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