Q.1
What is the minimum number of four digits formed by using the digits 2, 4, 0, 7 ?
Q.2
The decimal fraction $$2.3\overline {49} $$   is equal to :
Q.3
How many 3-digit numbers are there in between 100 and 300, having first and the last digit as 2 ?
Q.4
A number x when divided by 289 leave 18 as the remainder. The same number when divided by 17 leaves y as a remainder. the value of y is :
Q.5
8899 - 6644 - 3322 = ? - 1122
Q.6
The digit at Hundred's place value of 17! is :
Q.7
10531 + 4813 - 728 = ? × 87
Q.8
Find the HCF of (3125-1) and (335-1).
Q.9
11 * X = $$\frac{{693}}{9}$$
Q.10
Given that, three numbers are such that the second number is twice the first and thrice the third. Also the average of the three numbers is 44. then the difference of the first and the third is :
Q.11
(719 + 2) is divided by 6. The remainder is :
Q.12
Let a number of three digits have for its middle digit the sum of the other two digits. Then it is a multiple of :
Q.13
If n is a whole number greater than 1, then n2 (n2 - 1) is always divisible by :
Q.14
If $$\frac{3}{4}$$ of a number is 7 more than $$\frac{1}{6}$$ of the number then $$\frac{5}{3}$$ of the number is :
Q.15
The solution to the inequality 12x - 66 $$ \leqslant $$ 6 is :
Q.16
The smallest 4-digit number exactly divisible by 7 is :
Q.17
How many 3-digit numbers are completely divisible by 6 ?
Q.18
The difference between two numbers is 1365. When the large number is divided by the smaller one, the quotient is 6 and the remainder is 15. What is the smaller number ?
Q.19
If a (0.4)2 , b = 0.04 and c = $$\frac{{2}}{{5}}$$ , then the correct relationship among the three is :
Q.20
The least number which must be added to the greatest number of 4 digits in order that the sum may be exactly divisible by 307 is :
Q.21
Two positive whole numbers are such that the sum of the first and twice the second number is 8 and their difference is 2. The numbers are :
Q.22
If (64)2 - (36)2 = 20 × x, then x = ?
Q.23
Unit digit of the number (22)23 is :
Q.24
A number consists of two digits. If the number formed by interchange the digits is added to the original number, the resulting number (i.e., the sum) must be divisible by -
Q.25
How many number between 1000 and 5000 are exactly divisible by 225 ?
Q.26
The unit digit in the sum of $${\left( {124} \right)^{372}}\,$$  $$ + \,{\left( {124} \right)^{373}}$$  = ?
Q.27
The number of integers in between 100 and 600, which are divisible by 4 and 6 both, is :
Q.28
Sum of three consecutive even integers is 54. Find the least integer among them.
Q.29
On multiplying a number by 7 all the digit in the product appear as 3's , the smallest such numbers is -
Q.30
The greatest value among the fractions :$$\frac{2}{7},$$ $$\frac{1}{3},$$ $$\frac{5}{6},$$ $$\frac{3}{4}$$
Q.31
The sum of three consecutive odd natural numbers each divisible by 3 is 63. What is the largest among them ?
Q.32
If the some of a number and its reciprocal be 2 then number is = ?
Q.33
Find the least number of five digits which is divisible by 333 ?
Q.34
A number when divided by 136, leaves remainder 36. If the same number is divided by 17, the remainder will be -
Q.35
Find the value of $$\frac{1}{5} + $$   $$999\frac{{494}}{{495}} \times 99$$   = ?
Q.36
Find the largest number, which exactly divides every number of the form (n3 - n) (n - 2) where n is a natural number greater than 2.
Q.37
Two number when divided by 17, leaves remainder 13 and 11 respectively. If the sum of those two numbers is divided by 17, the remainder will be ?
Q.38
If two numbers are each divided by the same divisor, the remainder are respectively 3 and 4. If the sum of two numbers be divided by the same divisor, the remainder is 2. The divisor is -
Q.39
By which number should 0.022 be multiplied so that product become 66 ?
Q.40
$$1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{7} + \frac{1}{{14}} + \frac{1}{{28}}$$     is equal to :
Q.41
The Remainder of $$\frac{{ {{{888}^{222}} + {{222}^{888}}} }}{3}\,{\text{is}}:$$
Q.42
Find the remainder when
10 + 102 + 103 + 104 + ........ + 1099 is divided by 6.
Q.43
If m and n are positive integers and (m - n) is an even number, then (m2 - n2 ) will always be divisible by :
Q.44
The least among the fractions $$\frac{{15}}{{16}}$$ , $$\frac{{19}}{{20}}$$ , $$\frac{{24}}{{25}}$$ , $$\frac{{34}}{{35}}$$ is :
Q.45
What decimal of a week is an hour ?
Q.46
Unit digit in $${\left( {264} \right)^{102}} + {\left( {264} \right)^{103}}$$    is :
Q.47
Which one of the following is a factor of the sum of first twenty-five natural numbers ?
Q.48
The value of : $$\frac{{3.157 \times 4126 \times 3.198}}{{63.972 \times 2835.121}}$$
Q.49
Five times of a positive integer is 3 less than twice the square of that number. The number is -
Q.50
The remainder of (3)67! divided by 80 is :
0 h : 0 m : 1 s