Number System When 732 is subtracted form the square of a number, the answer that is obtained is 5280. What is the number? 97 103 99 101 97 103 99 101 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x2 - 732 = 5280 x2 = 5280 + (70+3)2 = 5280 + 4900 + 420 + 9 = 10609= 10000 + 2(100)(3) + 32 = (100 + 3)2x = 100 + 3 = 103.
Number System The sum of 8 consecutive odd numbers is 656. Also average of four consecutive even numbers is 87. What is the sum of the smallest odd number and second largest even number ? 160 163 167 158 160 163 167 158 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Average of 8 consecutive odd numbers = 656/8 = 82∴ Fourth number = 82 - 1 = 81∴ First numbers = 75Average of 4 even numbers = 87∴ Second even number = 87 - 1 = 86Second largest even number = 88∴ Required sum = 75 + 88 = 163
Number System Sum of the digits number is 8 and their product is 12. Find the difference between the digits? 2 4 None 6 2 4 None 6 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 8xy = 12(x – y)2 = (x + y)2 – 4xy (x – y)2 = 64 – 48 => (x – y) = 4
Number System The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is: 5/4 3/10 4/5 3/5 5/4 3/10 4/5 3/5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 1/x - x = 9/20 20x2 + 9x - 20 = 0 20x2 + 25x - 16x - 20 = 0 5x(4x + 5) -4(4x + 5) = 0(4x + 5)(5x - 4) = 0x = 4/5
Number System What is 50% of 40% of Rs. 3,450? 630 640 690 670 630 640 690 670 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 40% * 3450 = 1380then, 50 % * 1380 = 690
Number System What is the sum of all even numbers from 1 to 701? 123850 122550 122500 122850 123850 122550 122500 122850 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 700/2 = 350350 * 351 = 122850
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