A is the set of the first 100 natural numbers. What is the minimum number of elements that should be picked from A to ensure that atleast one pair of numbers whose difference is 10 is picked?
A is the set of the first 100 natural numbers. What is the minimum number of elements that should be picked from A to ensure that atleast one pair of numbers whose difference is 10 is picked?
The number log2(7) is
The number log2(7) is
A number N when factorized can be written as
N = p14 × p23 × p37.
Find the number of perfect squares which are factors of N. (The 3 prime numbers p1, p2, p3 > 2)
A number N when factorized can be written as
N = p14 × p23 × p37.
Find the number of perfect squares which are factors of N. (The 3 prime numbers p1, p2, p3 > 2)
Find the remainder when 799 is divided by 2400.
Find the remainder when 799 is divided by 2400.
After distributing the sweets equally among 25 children, 8 sweets remain. Had the number of children been 28, 22 sweets would have been left after equally distributing. What was the total number of sweets ?
After distributing the sweets equally among 25 children, 8 sweets remain. Had the number of children been 28, 22 sweets would have been left after equally distributing. What was the total number of sweets ?
There are two integers 34041 and 32506, when divided by a three-digit integer n, leave the same remainder. What is the value of n?
There are two integers 34041 and 32506, when divided by a three-digit integer n, leave the same remainder. What is the value of n?
Which one of the following numbers will completely divide (325 + 326 + 327 + 328 ) ?
Which one of the following numbers will completely divide (325 + 326 + 327 + 328 ) ?
On dividing 2272 as well as 875 by 3-digit number N, we get the same remainder. The sum of the digits of N is:
On dividing 2272 as well as 875 by 3-digit number N, we get the same remainder. The sum of the digits of N is:
What is the remainder when 1! + 2! + 3! ....... + 100! is divided by 7 ?
What is the remainder when 1! + 2! + 3! ....... + 100! is divided by 7 ?
Two different prime numbers X and Y, both are greater than 2, then which of the following must be true ?
Two different prime numbers X and Y, both are greater than 2, then which of the following must be true ?
What is the remainder obtained on dividing 3443 + 4334 by 7 ?
What is the remainder obtained on dividing 3443 + 4334 by 7 ?
Let a, b, c, d and e be integers such that a = 6b = 12c, and 2b = 9d = 12e. Then which of the following pairs contains a number that is not an integer?
Let a, b, c, d and e be integers such that a = 6b = 12c, and 2b = 9d = 12e. Then which of the following pairs contains a number that is not an integer?
Which of the following in true ?
Which of the following in true ?
943 – 233 – 713 is atleast divisible by
943 – 233 – 713 is atleast divisible by
Let x denote the greatest 4-digit number which when divided by 6, 7, 8, 9 and 10 leaves a remainder of 4, 5, 6 7 and 8 respectively. Then, the sum of the four-digits of x is and 8 respectively. Then, the sum of the four-digits of x is
Let x denote the greatest 4-digit number which when divided by 6, 7, 8, 9 and 10 leaves a remainder of 4, 5, 6 7 and 8 respectively. Then, the sum of the four-digits of x is and 8 respectively. Then, the sum of the four-digits of x is
A computer program was tested 300 times before its release. The testing was done in three stages of 100 tests each. The software failed 15 times in Stage I, 12 times in Stage II, 8 times in Stage III, 6 times in both Stage I and Stage II, 7 times in both Stage II and Stage III, 4 times in both Stage I and Stage III, and 4 times in all the three stages. How many times the software failed in a single stage only?
A computer program was tested 300 times before its release. The testing was done in three stages of 100 tests each. The software failed 15 times in Stage I, 12 times in Stage II, 8 times in Stage III, 6 times in both Stage I and Stage II, 7 times in both Stage II and Stage III, 4 times in both Stage I and Stage III, and 4 times in all the three stages. How many times the software failed in a single stage only?
Find the HCF of (3125 – 1) and (335 – 1).
Find the HCF of (3125 – 1) and (335 – 1).
Find the remainder when 73 x 75 x 78 x 57 x 197 is divided by 34.
Find the remainder when 73 x 75 x 78 x 57 x 197 is divided by 34.
The digits of a 3-digit number in Base 4 get reversed when it is converted into Base 3. How many such numbers exist?
The digits of a 3-digit number in Base 4 get reversed when it is converted into Base 3. How many such numbers exist?
If N = 1! – 2! + 3! – 4! +…..+ 47! – 48! + 49!, then what is the unit digit of (N)N?
If N = 1! – 2! + 3! – 4! +…..+ 47! – 48! + 49!, then what is the unit digit of (N)N?
The digits of a three-digit number A are written in the reverse order to form another three-digit number B. If B > A and B–A is perfectly divisible by 7, then which of the following is necessarily true?
The digits of a three-digit number A are written in the reverse order to form another three-digit number B. If B > A and B–A is perfectly divisible by 7, then which of the following is necessarily true?
Find the total number of prime factors in
217 × 631 × 75 × 1011 × 1110 × (323)23
Find the total number of prime factors in
217 × 631 × 75 × 1011 × 1110 × (323)23
If x = (163 + 173 + 183 + 193), then x divided by 70 leaves a remainder of
If x = (163 + 173 + 183 + 193), then x divided by 70 leaves a remainder of
p, q and r are three non-negative integers such that p + q + r = 10. The maximum value of pq + qr + pr + pqr is
p, q and r are three non-negative integers such that p + q + r = 10. The maximum value of pq + qr + pr + pqr is
How many whole numbers between 100 and 800 contain the digit 2?
How many whole numbers between 100 and 800 contain the digit 2?