Q.1
If (12n + 1) is divisible by 13, then n is :
Q.2
The divisor is 25 times the quotient and 5 times the remainder. If the quotient is 16, then the dividend is :
Q.3
The remainder when 784 is divided by 342 is :
Q.4
The numbers 2272 and 875 are divided by a three-digit numbers N, giving the same remainder. The sum of the digits of N is :
Q.5
The remainder when (1523 + 2323) is divided by 19, is :
Q.6
The difference between the square of two consecutive odd integers is always divisible by :
Q.7
The smallest number that must be added to 803642 in order to obtain a multiple of 11 is :
Q.8
Which one of the following numbers is divisible by 15 ?
Q.9
How many numbers will be there between 300 and 500, where 4 comes only one time ?
Q.10
Unit's digit in (784)126 + (784)127 is :
Q.11
If n is any positive integer, 34n - 43n is always divisible by :
Q.12
When 10025 - 25 is written in decimal notation, the sum of its digits is :
Q.13
Which is the greatest 5-digit number exactly divisible by 279 ?
Q.14
If (a2 - b2) ÷ (a + b) = 25, then (a - b) = ?
Q.15
The sum of the digits of a natural number (10n - 1) is 4707, where n is a natural number. The value of n is :
Q.16
The number of terms between 11 and 200 which are divisible by 7 but not by 3 are :
Q.17
A young girl counted in the following way on the fingers of her left hand. She started calling the thumb 1, the index finger 2, middle finger 3, ring finger 4, little finger 5, then reversed direction, calling the ring finger 6, middle finger 7, index finger 8, thumb 9 and then back to the index finger for 10, middle finger for 11, and so on. She counted upto 1994. She ended on her
Q.18
The numbers 1, 2, 3, 4, ......, 1000 are multiplied together. The number of zeros at the end (on the right) of the product must be :
Q.19
The unit's digit in the product 274 × 318 × 577 × 313 is :
Q.20
Which one of the following is the common factor of (4743 + 4343) and (4747 + 4347) = ?
Q.21
(46)2 - (?)2 = 4398 - 3066
Q.22
Given n = 1 + x and x is the product of four consecutive integers. Then which of the following us true ?
I. n is an odd integer.
II. n is prime.
III. n is a perfect square
Q.23
The number 89715938* is divisible by 4. The unknown non-zero digit marked as * will be :
Q.24
If p is a prime number greater than 3, then (p2 - 1) is always divisible by :
Q.25
The unit's digit of 132003 is :
Q.26
If a number 774958A96B is divisible by 8 and 9, the respective values of A and B will be :
Q.27
The product of any three consecutive natural numbers is always divisible by :
Q.28
The sum of the perfect square between 120 and 300 is :
Q.29
What is the remainder when 461 is divided by 51 ?
Q.30
If n is a natural number and n = $${p_1}^{{x_1}}$$   $${p_2}^{{x_2}}$$   $${p_3}^{{x_3}}$$ where p1, p2, p3 are distinct prime factors, then the number of prime factors for n is :
Q.31
$$\frac{{768 \times 768 \times 768 + 232 \times 232 \times 232}}{{768 \times 768 - 768 \times 232 + 232 \times 232}} = ?$$
Q.32
If (6767 + 67) is divided by 68, the remainder is :
Q.33
The number of prime factors in the expression 610 × 717 × 1127 is equal to :
Q.34
A number when divided by 195 leaves a remainder 47. If the same number is divided by 15, the remainder will be :
Q.35
If x = a (b - c), y = b (c - a), z = c (a - b), then the value of $${\left( {\frac{x}{a}} \right)^3}$$ $$ + {\left( {\frac{y}{b}} \right)^3}$$ $$ + {\left( {\frac{z}{c}} \right)^3}$$ is :
Q.36
The largest number that exactly divides each number of the sequence 15 - 1, 25 - 2, 35 - 3, ....., n5 - n, ..... is :
Q.37
The numbers 2, 4, 6, 8 ..... 98, 100 are multiplied together. The number of zeros at the end of the product must be :
Q.38
$$\frac{{{{\left( {963 + 476} \right)}^2} + {{\left( {963 - 476} \right)}^2}}}{{\left( {963 \times 963 + 476 \times 476} \right)}} = ?$$
Q.39
What is 786 times 964 ?
Q.40
Let x be the product of two numbers 3, 659, 893, 456, 789, 325, 678 and 342, 973, 489, 379, 256. The number of digits in x is :
Q.41
Which of the following is a prime number ?
Q.42
Which one of the following numbers is divisible by 3 ?
Q.43
(96 + 1) when divided by 8, would leave a remainder of :
Q.44
If 0 < x < 1, which of the following is greatest ?
Q.45
(71 × 29 + 27 × 15 + 8 × 4) equals :
Q.46
76n - 66n, where n is an integer > 0, is divisible by :
Q.47
The number of prime numbers between 301 and 320 are :
Q.48
6 × 66 × 666 = ?
Q.49
What is 394 times 113 ?
Q.50
Which one of the following is a prime number ?
0 h : 0 m : 1 s