Practice No. System Questions and Answers

• Each member of a picnic party contributed twice to their serial number. The total collection was Rs 3042. The (approximate) number of members present in th...
• Determine the highest possible value of (x + y) if the number '3x725y4' is divisible by 12.
• What is the largest sum of m and n such that ‘4m932n6’ is divisible by 12?
• Find the greatest value of the expression (p + q), if the number ‘2p618q0’ is divisible by 12.
• If the number ‘7k854l2’ is divisible by 12, then what is the highest value of (k + l)?
• Compute the maximum total of (r + s) if ‘6r427s8’ is divisible by 12.
• The sum of the digits of a two-digit number is 9. If 27 is subtracted from the number, its digits switch their places. What is the number?
• A two-digit number has digits summing up to 10. On subtracting 36 from the number, the digits get interchanged. What is the original number?
• A two-digit number has a digit-sum of 9. Subtracting 27 from it gives the number with digits reversed. What is the number?
• The digits of a two-digit number add up to 9. If 27 is subtracted from the number, the digits switch places. What is the number?
• A number when divided by 19 leaves a remainder of 14. What will be the remainder when four times that number is divided by 19?
• A certain number gives a remainder of 9 when divided by 17. What is the remainder when twice that number is divided by 17?
• When a number is divided by 29, the remainder obtained is 22. What is the remainder when five times that number is divided by 29?
• A number when divided by 21 gives a remainder of 7. What would be the remainder when six times the number is divided by 21?
• When a number is divided by 31, the remainder is 28. Find the remainder when twice the number is divided by 31.
• 40% of 30% of 750 = x + 15, then find the sum of the squares of the digits of 'x'.
• 28% of 50% of 600 = p + 18, find the sum of the squares of the digits of ‘p’.
• 35% of 45% of 640 = z + 20.2, what is the sum of the squares of the digits in ‘z’?
• 25% of 36% of 960 = m + 21.6, find the total of squares of each digit in ‘m’.
• 32% of 40% of 500 = q + 12, find the sum of squares of the digits in ‘q’.
• Determine the value that must be subtracted from 72 and 60 to make the resulting numbers in the ratio 3:2.
• Find the number that needs to be subtracted from 85 and 55 such that their ratio becomes 6:3.
• What should be subtracted from 64 and 40 to make the ratio of resulting numbers 3:1?
• A certain number is to be subtracted from 90 and 72 to get the numbers in the ratio 5:4. What is the number?
• What number must be subtracted from 66 and 54 such that the resulting numbers are in the ratio 4:3?
• What should come in place of the question mark (?) in the following question? 956 × 753 = ?
• What should come in place of the question mark (?) in the following question? 3/8 × 4/7 ? = 5376
• What should come in place of the question mark (?) in the following question? 3.5 × 2 .4 × ? = 42
• If X + Y = 23 and XY = 126, what is the value of (X)² + (Y)² ?
• What should come in place of the question mark (?) in the following question? (19)¹² × (19)⁴ = (19)ˀ
• The cost of item A is 8 more than the sum of cost of B and C together. The ratio of cost of item B and C is 3:5 respectively. The cost of B is a multiple o...
• How many values can 'x' take if the number 7531xk must be divisible by 15 for any valid digit 'k'?
• If the number 8357pt is divisible by 15, how many values can 'p' take?
• For what number of values of 'z' is the number 1269zq divisible by 15?
• Find the remainder when
• What is the remainder when
• Determine the remainder when
• Find the remainder if
• What is the remainder when
• ‘N’ be the highest 3-digit number which leaves a remainder of 3 when divided by 4, 6, and 9. What is the least number that must be added to ‘N’ to ...