Number System If the difference between the squares of two consecutive numbers is 47, what is the smaller number ? 23 26 24 25 23 26 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 [(18.6 x 4.5) + (7.8 ÷ 0.24)] ÷ 3.2 = ? 26.3125 25.3125 46.3125 36.3125 26.3125 25.3125 46.3125 36.3125 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 83.7 + 32.5/3.2 = 116.2/3.2 = 36.3125
Number System In how many different ways can the letters of word "COLLEGE" be arranged ? 1240 1300 1260 1280 1240 1300 1260 1280 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number of ways = 7!/2!2! = 1260(∵ L and E come twice)
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? 17 21 33 14 17 21 33 14 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 12
Number System The difference between two integers is 5. Their product is 500. Find the numbers. 30, 25 21, 26 15, 20 20, 25 30, 25 21, 26 15, 20 20, 25 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the integers be x and (x + 5). Then, x(x + 5) = 500 x2 + 5x - 500 = 0 (x + 25)(x - 20) = 0 x = 20So, the numbers are 20 and 25.
Number System What is the sum of all the composite numbers up to 20? 131 132 128 130 131 132 128 130 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 4 + 6 + 8 + 9 + 10 + 12 + 14 + 15 + 16 + 18 = 132