Number System If the difference between the squares of two consecutive numbers is 47, what is the smaller number ? 26 23 24 25 26 23 24 25 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be (x + 1) and x.Therefore, (x + 1)² - x² = 47x² + 2x + 1 - x² = 472x + 1 = 47Therefore, x = 46/2 = 23
Number System The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers? 35/8 7/32 12/35 1/35 35/8 7/32 12/35 1/35 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be a and b. Then,a + b = 12 and ab = 35.(a + b)/ab = 12/35= (1/b + 1/a) = 12/35Sum of reciprocals of given numbers = 12/35.
Number System Which number should replace question mark (?) in the following equation ? ?/342 = 38/? 118 116 114 112 118 116 114 112 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (?)² = 342 x 38Therefore, ? = √342 x 38 = √38 x 9 x 38 = 38 x 3 = 114
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 17 33 14 21 17 33 14 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 12
Number System Find the number of factors of 300 excluding 1 and itself. 15 16 18 14 15 16 18 14 ANSWER DOWNLOAD EXAMIANS APP
Number System In how many different ways can be the letters of the word PENCIL be arranged among themselves ? 860 720 510 640 860 720 510 640 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Total six letters are there and hence the number of arrangements = 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720
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