Q.1
If x and y are two digits of the number 653xy such that the number is divisible by 80, then x + y is equal to :
Q.2
P and Q are two positive integers such that PQ = 64. Which of the following cannot be the value of P + Q = ?
Q.3
What least number must be added to 1056 to get a number exactly divisible by 23 ?
Q.4
If a and b are positive integers, a > b and (a + b)2 - (a - b)2 > 29
Then the smallest value of a is -
Q.5
The digit in the unit's place of the number (67)25 - 1 must be -
Q.6
A number is multiplied by 11 and 11 is added to the product. If the resulting number is divisible by 13, the smallest original number is = ?
Q.7
The smallest prime number, that is the fifth term of an increasing arithmetic sequence in which all the four preceding terms are also prime, is -
Q.8
Among the following statements, the statement which is not correct is :
Q.9
What is sum of all natural numbers from 1 to 100 ?
Q.10
The number π is :
Q.11
If x - y = 8, then which of the following must be true ?
I. Both x and y are positive.
II. If x is positive, y must be positive.
III. If x is negative, y must be negative.
Q.12
When 2256 is divided by 17, the remainder would be :
Q.13
5566 - 7788 + 9988 = ? + 4444
Q.14
$$\frac{256 × 256 - 144 × 144}{112}$$     is equal to :
Q.15
In doing a question of division with zero remainder. a candidate took 12 divisor instead of 21. The quotient obtained by him was 35. The correct quotient is :
Q.16
287 × 287 + 269 × 269 - 2 × 287 × 269 = ?
Q.17
? × $$\left( {|a| \times |b|} \right) = - {\text{ ab}}$$
Q.18
If you subtract - 1 from + 1, what will be the result ?
Q.19
The sum of the digits of a 3-digit number is subtracted from the number. The resulting number is always :
Q.20
The number of zeros at the end of the product 5 × 10 × 15 × 20 × 25 × 30 × 35 × 40 × 45 × 50 is :
Q.21
The number of prime numbers between 0 and 50 is :
Q.22
What number multiplied by 48 will give the same product as 173 multiplied by 240 ?
Q.23
A number is divisible by 11 if the difference between the sums of the digit in odd even places respectively is :
Q.24
The digit in the unit place of the number represented by (795 - 358) is :
Q.25
Which of the following numbers are completely divisible by 7 ?
I. 195195
II. 181181
III. 120120
IV. 891891
Q.26
What should come in place of * mark in the following equation ?
1 * 5 $ 4 ÷ 148 = 78
Q.27
The least number more than 5000 which is divisible by 73 is -
Q.28
What is 348 times 265 ?
Q.29
8888 + 848 + 88 - ? = 7337 + 737
Q.30
What should be the maximum value of q in the following equation?
5P9 - 7Q2 + 9R6 = 823
Q.31
Let n be a natural number such that $$\frac{1}{2}$$ + $$\frac{1}{3}$$ + $$\frac{1}{7}$$ + $$\frac{1}{n}$$   is also a natural number. Which of the following statements is not true ?
Q.32
If 37 X 3 is a four-digit natural number divisible by 7, then the place marked as X must have the value :
Q.33
6 × 3 (3 - 1) is equal to :
Q.34
325325 is a six-digit number. It is divisible by :
Q.35
If a and b are two numbers such that ab = 0, then -
Q.36
If a + b + c = 6 and ab + bc + ca = 10, then value of a3 + b3 + c3 - 3abc is :
Q.37
The smallest number of 5 digits beginning with 3 and ending with 5 will be :
Q.38
2 - 2 + 2 - 2 + ..... 101 terms = ?
Q.39
The number formed from the last two digits (ones and tens) of the expression 212n - 64n , where n is any positive integer is :
Q.40
If x, y, z and w be the digits of a number beginning from the left, the number is :
Q.41
The number 534677 is divisible by 777. The difference of divisor and remainder is :
Q.42
Which of the following is a prime number ?
Q.43
If $$13 = \frac{{13w}}{{\left( {1 - w} \right)}}$$   , then (2w)2 = ?
Q.44
If m and n are positive integers, then the digit in the unit's place of 5n + 6m is always :
Q.45
The number of zeros at the end of 60! is :
Q.46
Between two distinct rational numbers a and b, there exists another rational number which is :
Q.47
$$1.\overline {27} $$   in the form $$\frac{{\text{p}}}{{\text{q}}}$$ is equal to :
Q.48
A, B, C and D purchase a gift worth Rs. 60. A pays $$\frac{{1}}{{2}}$$ of what others are paying. B pays $$\frac{{1}}{{3}}$$ of what others are paying and C pays $$\frac{{1}}{{4}}$$ of what others are paying. What is the amount paid by D ?
Q.49
The value of $$\frac{1}{{15}} + $$ $$\frac{1}{{35}} + $$ $$\frac{1}{{63}} + $$ $$\frac{1}{{99}} + $$ $$\frac{1}{{143}}$$ is :
Q.50
The sum of two numbers is 75 and their difference is 25. The product of the two numbers is :
0 h : 0 m : 1 s