Number System If a + b = 16 and ab = 68, what is the value of a² + b² ? 120 116 112 124 120 116 112 124 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP a + b = 16 Therefore, (a+b)² = (16)² = 256 a² + b² + 2ab = 256Therefore, a² + b² = 256 - 2 x 68Therefore, a² + b² = 256 - 136 = 120
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. 62 Rs. 74 Rs. 68 Rs. 79 Rs. 62 Rs. 74 Rs. 68 Rs. 79 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 the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers? 12/35 7/32 1/35 35/8 12/35 7/32 1/35 35/8 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 When 102 is reduced from a number, the number gets reduced by 88%. What is that number ? 650 550 750 850 650 550 750 850 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 850
Number System If (17)3 is subtracted from the square of a number, the answer so obtained is 2143. What is the number ? 81 82 83 84 81 82 83 84 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x² - (17*17*17) = 2143or x² = 2143 + 4913 = 7056∴ x = 84
Number System Which is the largest fraction among the following ? 24/25 21/23 12/13 21/22 24/25 21/23 12/13 21/22 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 21/23 = 0.913,12/13 = 0.92323/25 = 0.92, 21/22 = 0.9545, 24/25 = 0.96
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