Practice No. System Questions and Answers

• Tanvi has 5 pencils, and Mahima has 4 pencils. When Khurram joins them, all 9 pencils are redistributed equally among the three, meaning each person gets a...
• S1 is a series of 5 consecutive multiples of 3 and S2 is a series of 4 consecutive multiples of 8. If the ratio of 3rd to 2nd terms in S1 is 6:5 and in S2 ...
• There are two numbers A and B such that when 24 times of B is added to 192, then result is equal to 336, and sum of A and B is 28, then what is the differe...
• Mr. Sharma distributed a total of Rs. 11,250 among his three employees—Ram, Saran, and Ramen—based on their performance. The distribution was such that...
• When a least four-digit number 'x' is divided by 120, 100, and 80, it leaves a remainder of 15 in each case. What least number must be added to 'x' so that...
• The ratio between the sum of the digits of a two-digit number and that two-digit number is 1 : 5. If the digit in the unit's place is two less than the dig...
• What is the ratio of the sum of the squares of the first 8 natural numbers to the sum of the first 12 odd natural numbers?
• The sum of the squares of two numbers is 250, and the difference between the two numbers is 4. Find the absolute difference between the cubes of these two ...
• In a class of 40 students, 60% are boys and the rest are girls. If 50% of the boys and 70% of the girls passed the exam, how many students failed the exam?
• Sum of seven consecutive natural numbers is always divisible by which of the following number?
• The number of chocolates with ‘Rohan’ and ‘Sohan’ together is 20 more than that with ‘Mohan’, while the number of chocolates with ‘Sohan’ a...
• The number of pencils with ‘Ravi’ and ‘Shyam’ together is 30 more than that with ‘Karan’, while the number of pencils with ‘Shyam’ and ‘K...
• The number of books with ‘Aarav’ and ‘Bhavna’ together is 18 more than that with ‘Chirag’, while the number of books with ‘Bhavna’ and ‘C...
• Determine the total sum of all three-digit numbers that are divisible by both 2 and 7.
• Determine the smallest 4-digit number that, when divided by 15, 24, and 30, leaves a remainder of 5 each time.
• The sum of the exponents of the prime factors in the prime factorization of 225 is
• The sum of the exponents of the prime factors in the prime factorization of 108 is
• The sum of the exponents of the prime factors in the prime factorization of 588 is
• In a company, there are men, women, and boys working. The total daily payment to all workers is Rs. 6,390. The number of men is 20% more than the number of...
• In 2017, Bangladesh imported 60% of its total wheat requirement, while the remaining 40% was produced domestically. In 2018, the country's wheat production...
• Harish decided to distribute Rs.16,250 among his three sons Rohit, Ashish and Dinesh such that Ashish would get 1/4th of what Rohit and Dinesh would togeth...
• A = (5/2) × B and C = (1/10) × A. If (A + B + C) = 255, then determine the value of (7C – B).
• A = (7/3) × B and C = (1/14) × A. If (A + B + C) = 360, then determine the value of (10C – B).
• A = (9/4) × B and C = (1/12) × A. If (A + B + C) = 300, then find the value of (12C – B).
• A = (11/5) × B and C = (1/22) × A. If (A + B + C) = 440, then find the value of (15C – B).
• The digits of a two-digit number ‘N’ are reversed to form a new number ‘M’. If M < N and N – M = 45, then which of the following maybe ‘N’? ...
• The digits of a two-digit number ‘N’ are reversed to form a new number ‘M’. If M < N and N – M = 27, then which of the following maybe ‘N’?...
• The digits of a two-digit number ‘N’ are reversed to form a new number ‘M’. If M < N and N – M = 63, then which of the following maybe ‘N’?...
• A number is initially increased by 37.5% and then reduced by 40%. The final value obtained after these changes is 6,270. Determine 80% of the original numb...
• How many unique five-digit numbers can be created using the digits 0, 1, 5, 6, 7, and 8, without repeating any digit?
• The sum of two numbers is 801. When the larger number is divided by the smaller one, it results in a quotient of 41 with a remainder of 3. What is the diff...
• Three numbers are in the ratio 5:7:11. If the difference between the sum of the smallest and the largest number and the sum of the smallest and the second ...
• Three numbers are in the ratio 3:5:8. If the difference between the sum of the smallest and the largest number and the sum of the smallest and the second l...
• Three numbers are in the ratio 6:9:14. If the difference between the sum of the smallest and the largest number and the sum of the smallest and the second ...
• Three numbers are in the ratio 2:5:7. If the difference between the sum of the smallest and the largest number and the sum of the smallest and the second l...
• Find the greatest common divisor (GCD) of (x 2  - 9x + 14) and (x 2   + x - 56). 
• The coefficient of 'x 2 ' and 'x' in the expression (Ax + 5) (3 - 2x) are same, where 'A' is a positive integer. (A + 10) is how much percent of (A + 58) ?...
• What is the smallest natural number that must be multiplied to 750 so that the resultant number is a perfect square?
• An integer 'p' is added to each of 19, 25, 43 and 55 so that the resulting numbers will be in proportion in given order only. Find the value of '(p + 4) '....
• If  x and y are the two digits of the number 115xy such that this number is divisible by 90, then the value of  x + y is: