Q.1
If $$\frac{4}{5}$$ of an estate be worth Rs. 16800, then the value of $$\frac{3}{7}$$ of it is -
Q.2
A man spends $$\frac{1}{3}$$ of his income on food, $$\frac{2}{5}$$ of his income on house rent, $$\frac{1}{5}$$ of his income on clothes. If he still has Rs. 400 left with him, his income is -
Q.3
$$\frac{2}{3}$$ of three-fourth of a number is :
Q.4
The greatest four digit number which is exactly divisible by each one of the numbers 12, 18, 21 and 28 :
Q.5
A number exceeds its two fifth by 75. The number is :
Q.6
When 'n' is divisible by 5 the remainder is 2. What is the remainder when n2 is divided by 5 ?
Q.7
If 17200 is divided by 18, the remainder is -
Q.8
A number is doubled and 9 is added, If the resultant is tripled, it becomes 75. What is the number ?
Q.9
What least value must be assigned to '*' so that the number 63576 * 2 is divisible by 8 ?
Q.10
The number 1, 3, 5, 7. . . . . 99 and 128 are multiplied together. The number of zeros at the end of the product must be -
Q.11
476 ** 0 is divisible by both 3 and 11. The non-zero digits in the hundred's and ten's places are respectively:
Q.12
When a number is divided by 13, the remainder is 11. When the same number is divided by 17, then remainder is 9. What is the number ?
Q.13
If a and b are two distinct natural numbers, which one of the following is true ?
Q.14
Which of the following fraction is the smallest ?
$$\frac{7}{6},\,\frac{7}{9},\,\frac{4}{5},\,\frac{5}{7}$$
Q.15
Which of the following is a prime number ?
Q.16
What is the unit digit in {(6374)1793 x (625)317 x (341491)}?
Q.17
The sum of even numbers between 1 and 31 is:
Q.18
(12)3 × 64 × 432-1 = ?
Q.19
72519 × 9999 = ?
Q.20
Which of the following number is not divided by 18 ?
Q.21
The largest among the numbers ?
Q.22
The product of two numbers is 120 and the sum of their squares is 289. The sum of the two number is -
Q.23
397 × 397 + 104 × 104 + 2 × 397 × 104 = ?
Q.24
The difference of the squares of two consecutive even integers is divisible by which of the following integers ?
Q.25
$$\frac{1}{5}$$ of a number exceeds $$\frac{1}{7}$$ of the same number by 10. The number is -
Q.26
The product of two numbers is 0.008. One of the number is $$\frac{1}{5}$$ of the other. The smaller number is -
Q.27
5358 × 51 = ?
Q.28
The sum of first five prime numbers is:
Q.29
What is the unit digit in the product (365 × 659 × 771)?
Q.30
A number when divided successively by 4 and 5 leaves remainders 1 and 4 respectively. When it is successively divided by 5 and 4, then the respective remainders will be
Q.31
Which of the following number is divisible by 24 ?
Q.32
On dividing a number by 5, we get 3 as remainder. What will the remainder when the square of the this number is divided by 5 ?
Q.33
On dividing a number by 357, we get 39 as remainder. On dividing the same number 17, what will be the remainder ?
Q.34
The digit in unit's place of the product (2153)167 is -
Q.35
Which one of the following is a prime number ?
Q.36
How many numbers less than 1000 are multiple of both 10 and 13 ?
Q.37
If (1012 + 25)2 - (1012 - 25)2 = 10n, then the value of n is :
Q.38
If a = 7, b = 5, c = 3, then the value of a2 + b2 + c2 - ab - bc - ca is :
Q.39
While writing all the numbers from 700 to 1000, how many numbers occur in which the first digits greater than the second digit, and the second digit is greater than the third digit ?
Q.40
Which of the following digits will replace the H marks in the following equation ?
9H + H8 + H6 = 230
Q.41
When an integer K is divided by 3 the remainder is 1, and when K + 1 is divided by 5, The remainder is '0'. Of the following the possible value of K is -
Q.42
All natural numbers and 0 are called the ..... numbers.
Q.43
For an integer n, n! = n(n - 1) (n - 2) ..... 3.2.1
Then, 1! + 2! + 3! +.....+ 100!, when divided by 5 leaves remainder
Q.44
The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
Q.45
The sum of all three digit numbers, each of which on divide by 5 leaves remainder 3, is -
Q.46
397 × 397 + 104 × 104 + 2 × 397 × 104 = ?
Q.47
$$\sqrt 2 $$   is a/an -
Q.48
If a number is divisible by both 11 and 13, then it must be necessarily :
Q.49
Which of the following numbers is divisible by 3, 7, 9 and 11 ?
Q.50
When a certain positive integer P is divided by another positive integer, the remainder is $${r_{1}}$$ . When a second positive integer Q is divided by the same integer, the remainder is $${r_{2}}$$ and when (P + Q) is divided by the same divisor, the remainder is $${r_{3}}$$ . Then the divisor may be :
0 h : 0 m : 1 s