Number System What is the sum of 1 + 2 + 3+ ... + 27 ? 343 378 382 396 343 378 382 396 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Sum = 27 x (27 + 1)/2= 27 x 28/2= 27 x 14= 378
Number System If A + B = 30 and AB = 94, What is the value of A² + B² ? 712 625 920 824 712 625 920 824 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (A + B)² = (30)² = 900A² + B² + 2AB = 900Therefore, A² + B² = 900 - 2 x 94 = 900 - 188 = 712
Number System The product of two consecutive odd numbers is 4623. What is the product of the next two consecutive odd numbers ? 7745 6782 5183 8795 7745 6782 5183 8795 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP √4623 = 6767 x 69 = 4623∴ Required product = 71 x 73 = 5183
Number System If (35)² is added to the square of a number the answer so obtained is 1394. What is the number ? 15 11 13 17 15 11 13 17 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x Therefore, x² + (35)² = 1394Therefore, x² = 1394 - (35)² = 1394 - 1225 = 169Therefore, x = √169 = 13
Number System Which one of the following numbers is exactly divisible by 11? 235641 315624 245642 415624 235641 315624 245642 415624 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (4 + 5 + 2) - (1 + 6 + 3) = 1, not divisible by 11.(2 + 6 + 4) - (4 + 5 + 2) = 1, not divisible by 11.(4 + 6 + 1) - (2 + 5 + 3) = 1, not divisible by 11.(4 + 6 + 1) - (2 + 5 + 4) = 0. So, 415624 is divisible by 11.
Number System A shopkeeper purchased 200 bulbs for Rs. 10 each. However, 5 bulbs were fused and had to be thrown away. The remaining were sold at Rs. 12 each. What will be percentage profit? 21 33 17 14 21 33 17 14 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 12
EXAMIANS