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Arithmetic Ability
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Quiz 12
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Q.1
Given that (1
2
+ 2
2
+ 3
2
+ ..... + 20
2
) = 2870, the value of (2
2
+ 4
2
+ 6
2
+ ... + 40
2
) is :
2870
5740
11480
28700
Q.2
If the number 357*25* is divisible by both 3 and 5, then the missing digits in the unit's place and the thousandth's place respectively are :
0, 6
5, 1
5, 4
None of these
Q.3
If p
3
- q
3
= (p - q) (p - q)
2
- xpq, then find the value of x :
1
- 3
3
- 1
Q.4
In the relation x > y + z, x + y > p and z < p, which of the following is necessarily true ?
y > p
x + y > z
y + p > x
Insufficient data
Q.5
If 6*43 -
[email protected]
= 1904, which of the following should come in place of * ?
4
6
9
Cannot be determined
None of these
Q.6
A number divided by 68 gives the quotient 260 and remainder zero. If the same number is divided by 65, the remainder is :
0
1
2
3
Q.7
If n = 1 + x, where x is the product of four consecutive positive integers, then which of the following is/are true ?
I. n is odd
II. n is prime
III. n is a perfect square
I only
I and II only
I and III only
None of these
Q.8
If the seven digit number 876p37q is divided by 225, then the value of p and q respectively are :
0 and 0
9 and 0
0 and 5
9 and 5
Q.9
A 9 digit number in which zero does not appear and no digits are repeated has the following properties: The number comprising the left most two digits is divisible by 2, that comprising the left most three digits is divisible by 3, and so on
183654729
381654729
983654721
981654723
Q.10
What is the remainder when 2
31
is divided by 5 ?
1
2
3
4
Q.11
(800 ÷ 64) × (1296 ÷ 36) = ?
420
460
500
540
None of these
Q.12
The remainder obtained when any prime number greater than 6 is divided by 6 must be :
either 1 or 2
either 1 or 3
either 1 or 5
either 3 or 5
Q.13
The smallest number which must be subtracted from 8112 to make it exactly divisible by 99 is :
91
92
93
95
Q.14
If the sum of two numbers is 14 and their difference is 10, find the product of these two numbers.
18
20
24
22
Q.15
The greatest number by which the product of three consecutive multiples of 3 is always divisible is :
54
81
162
243
Q.16
The number of times 99 is subtracted from 1111 so that the remainder is less then 99 is :
10
11
12
13
0 h : 0 m : 1 s
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