Number System The average of 7 numbers is 15, that of the first three is 6 and that of the last three is 23. What is the fourth number? 13 15 7 18 13 15 7 18 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 4th No. = (Total of 7 Nos) - (Total of first three + total of last 3) = (15 x 7) - (6 x 3 + 23 x 3) = 105 - (18 + 69) =105 - 87 = 18
Number System When 732 is subtracted form the square of a number, the answer that is obtained is 5280. What is the number? 103 101 99 97 103 101 99 97 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 Find the least value of 3x + 4y if x2y3 = 6. 10 7 3 6 10 7 3 6 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 10
Number System A man engaged a servant on the condition that he would pay him Rs.900 and a uniform after one year service. He served only for 9 months and received uniform and Rs.650, find the price of the uniform? Rs.85 Rs.100 Rs.90 Rs.80 Rs.85 Rs.100 Rs.90 Rs.80 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 9/12 = 3/4 * 900 = 675 650 ------------- 251/4 -------- 251 --------- ? => Rs.100
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 What is the least number that should be added to 5200 to make it a perfect square ? 288 129 225 275 288 129 225 275 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP We sec (73)² = 5329 and (72)² = 5184ie 5329 > 5200 > 5184So 129 should be added to make is perfect square.
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