Practice No. System Questions and Answers

• Determine the sum of the first 16 odd numbers.
• The sum of any seven consecutive natural numbers is always divisible by which of the following numbers?
• Determine the total no of odd factors of the number 4200.
• Find the smallest 4 digit number that is completely divisible by both 24 and 44.
• What number should be deducted from 699 so that the resulting value, when divided by 7, 9, and 11, gives a remainder of 3 in each case?
• If the square root of 1024 is added to 30% of a number we get 4 less than 2/5th of the number. What is 3/8th of the number? ...
• What is the standard deviation of a dataset if its variance is 17.64?
• Determine the unit digit of (23334 x 17724).
• Determine the highest power of 2 present in the given expression: ...
• Find the largest number that, when dividing 259, 323, and 640, leaves remainders of 4, 8, and 10, respectively.
• Find the remainder when '323323323' is divided by 17.
• 'x' varies directly as per 'y' and 'z'. When 'y' = 6 and 'z' = 8, then x = 16. Find the value of 'z', when 'y' = 8 and x = 24.
• What is the remainder when the expression 289n+147 is divided by 17?
• Determine the smallest possible value of 'P' that makes the eight-digit number '4423P456' fully divisible by 3.
• The difference between two numbers is 6, and their product is 5. What is the sum of the squares of these two numbers?
• The sum of the squares of three natural numbers is 342. These numbers are in the ratio of 3:5:2. Determine the difference between the largest and smallest ...
• A has 10 chocolates, and B has 8 chocolates. C wants to buy some chocolates from them, so they decide to share all the chocolates equally among the three. ...
• A test consists of 20 questions, where each question is worth either 3 marks or 5 marks. The total marks for the entire test add up to 70. How many questio...
• Mohit purchased some toffees at a rate of Rs 20 for every 50 toffees. Additionally, he bought twice as many toffees at a price of Rs 1.50 per piece. He the...
• The sum of two distinct positive natural numbers is 246, and their difference is 34. Calculate 10% of the product of these two numbers.
• 28% of a certain number is added to 82% of the same number, resulting in 125% of 484. If 150 is subtracted from this number, what is 35% of the resulting v...
• Every day, 140 adults visit a park solely for walking. Additionally, 18% of the adults come exclusively to accompany their children, while 54% visit only f...
• Akhilesh has a collection of toys, and he tries arranging them in different group sizes. Whenever he groups them in pairs (2s), triplets (3s), sets of four...
• The Indian cricket team scored 188 runs in their 20-over match against Australia. By the end of the 13th over, Australia has scored 107 runs. What is the r...
• Tanu has 5 stickers, and Megha has 4 stickers. When Kasish joins them, all 9 stickers are redistributed equally among the three, meaning each person receiv...
• Four friends A, B, C and D together have 240 pens. The number of pens with A is 1/4th the total number of pens with other three. Pens with B are 1/3rd of t...
• A told B, "If you give me half of the money that you have, then I will have Rs 110 and if I give you half of my money then you will have Rs 100." How much ...
• The total of six consecutive even numbers in Set A is 402. In Set B, the smallest number is 15 less than twice the smallest number in Set A. What is the su...
• 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...