Number System How many numbers up to 100 are divisible by 7? 14 107 93 100 14 107 93 100 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 100/7 = 14 2/7 => 14 Numbers
Number System If (72)² is subtracted from the square of a number, the answer thus obtained is 4617. What is the number ? 103 99 92 95 103 99 92 95 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x² - (72)² = 467Therefore, x² = 4617 + 5184Therefore, x² = 9801 Therefore, x = 99
Number System The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is: 290/289 289/290 289 1/289 290/289 289/290 289 1/289 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be a and b. Then,ab = 17, a = 1 and b = 17So, 1/a2 + 1/b2 = (a2 + b2)/a2 b2 = (12 + 172)/(1 * 17)2 = 290/289
Number System A plot of 650 sq ft is available at the rate of Rs 6500 per sq ft. If 13% of the total cost of the plot is to be paid for booking the plot, what is the booking amount, (in Rs) ? Rs. 507250 Rs. 549250 Rs. 536250 Rs. 519850 Rs. 507250 Rs. 549250 Rs. 536250 Rs. 519850 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Total cost of plot= 650 x 6500 = 4225000Booking amount = 13% of (4225000) = 4225000 x 13/100 = 549250
Number System In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is: 24 46 42 26 24 46 42 26 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the ten's digit be x. Then, unit's digit = x + 2. Number = 10x + (x + 2) = 11x + 2 Sum of digits = x + (x + 2) = 2x + 2 (11x + 2)(2x + 2) = 144 2x2 + 26x - 140 = 0 (x - 2)(11x + 35) = 0 x = 2Hence, required number = 11x + 2 = 24.
Number System The sum of two numbers is 165 and the difference between them is 9. What is the average of these two numbers ? 82.5 85.5 84.5 83.5 82.5 85.5 84.5 83.5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 165x - y = 92x = 174 ∴ x = 87 and y = 78∴ x + y/2 = 165/2 = 82.5
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