List of practice Questions

A divisor of \[ 3^{6n}+56n-1,\qquad n\in\mathbb{N} \] is
If $[x]$ denotes the greatest integer less than or equal to $x$, then the value of $\sum_{r=1}^{100} \left[ \frac{r}{5} \right]$ is:
Which of the following statements is/are correct about irrational numbers?
(A) The sum of two rational numbers is always irrational.
(B) \(\pi\) is an irrational number.
(C) The value of \(\sqrt{49}\) is an irrational number.
(D) The value of \(\sqrt{5}\) is an irrational number.
Choose the correct answer from the options given below:
The half of the average value of three number is 20. The second number is thrice the third number and first number is twice the second number. What is the sum of smallest and largest number?
If $5\sqrt{5} \times 5^3 \div 5^{-3/2} = 5^{x+2}$, find the value of x.
How many numbers divisible by 132:
264, 396, 462, 792, 968, 2178, 5184, 6336
Find the least possible 3 digit number which when successively divided by 2, 5, 4 and 3 leaves the remainders 1, 1, 3 and 1 respectively.
If \[ 5\sqrt{5} \times 5^3 \div 5^{-3/2} = 5^{x+2}, \] find the value of \(x\).
How many numbers divisible by 132:
264, 396, 462, 792, 968, 2178, 5184, 6336
Find the least possible 3 digit number which when successively divided by 2, 5, 4 and 3 leaves the remainders 1, 1, 3 and 1 respectively.
Sum of squares of two numbers is 3341 and difference is 891. Find numbers.
Find ? in equation: ?/\(\sqrt{128}\) = \(\sqrt{162}\)/?
How many numbers between 1 and 200 are divisible by both 6 and 8?
The sum of the digits of a two-digit number is 9. When the digits are reversed, the number decreases by 27. Find the original number.
When you reverse the digits of the number 13, the number increases by 18. How many other two-digit numbers increase by 18 when their digits are reversed?
What is the binary equivalent of the decimal number 25?
The smallest prime number is
Choose the prime number from 175, 161, 129, 101
Which of the following statement is incorrect ?
Which of the following statement is incorrect ?
If the number \( 517*324 \) is completely divisible by 3, then the smallest whole number in the place of \(*\) will be ?
Which among the following is the largest fraction ?
The product of three consecutive positive integers is 120. Then the sum of the three positive numbers is:
If you divide the number 1003 by 5, then the remainder is equal to:
Which one of the following number is completely divisible by 45?