Number System In a division sum, the quotient is 120, the divisor 456 and the remainder 333, find the dividend? 55053 56053 5553 50553 55053 56053 5553 50553 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 120 * 456 + 333 = 55053
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 42 26 46 24 42 26 46 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 In how many different ways can be the letters of the word PENCIL be arranged among themselves ? 640 860 510 720 640 860 510 720 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
Number System The sum of two numbers is 25 and their difference is 13. Find their product. 114 325 104 315 114 325 104 315 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and y. Then x + y = 25 and x - y = 13.x = 19; y = 6xy = 19 * 6 = 114
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. 536250 Rs. 519850 Rs. 549250 Rs. 507250 Rs. 536250 Rs. 519850 Rs. 549250 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Total cost of plot= 650 x 6500 = 4225000Booking amount = 13% of (4225000) = 4225000 x 13/100 = 549250
Number System The product of two consecutive position odd numbers is 6723. What is the smaller number? 74 79 83 71 74 79 83 71 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP n x (n + 2) = 6723= n² + 2n - 6723 = 0= n² + 83n - 81n - 6723 = 0= n(n + 83) - 81 (n + 83) = 0Therefore, (n - 81) (n + 83) = 0Therefore, n = 81, n + 2 = 83
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