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Arithmetic Ability
Number System
Quiz 6
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Q.1
For the integer n, if n
3
is odd, then which of the following statements are true ?
I. n is odd
II. n
2
is odd
III. n
2
is even
I only
II only
I and II only
I and III only
Q.2
98th term of the infinite series 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, .... is :
1
2
3
4
Q.3
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 :
3
4
5
6
Q.4
P and Q are two positive integers such that PQ = 64. Which of the following cannot be the value of P + Q = ?
16
21
35
65
Q.5
What least number must be added to 1056 to get a number exactly divisible by 23 ?
2
3
21
25
Q.6
If a and b are positive integers, a > b and (a + b)
2
- (a - b)
2
> 29
Then the smallest value of a is -
3
4
6
7
Q.7
The digit in the unit's place of the number (67)
25
- 1 must be -
0
6
8
None of these
Q.8
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 = ?
12
22
26
53
Q.9
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 -
17
29
37
53
Q.10
Among the following statements, the statement which is not correct is :
Every natural number is an integer.
Every natural number is a real number.
Every real number is a rational number.
Every integer is a rational number.
Q.11
What is sum of all natural numbers from 1 to 100 ?
5050
6000
5000
5052
Q.12
The number π is :
A fraction
A recurring decimal
A rational number
An irrational number
Q.13
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.
I only
II only
I and II both
III only
Q.14
When 2
256
is divided by 17, the remainder would be :
1
14
16
None of these
Q.15
5566 - 7788 + 9988 = ? + 4444
3223
3232
3322
3333
None of these
Q.16
$$\frac{256 × 256 - 144 × 144}{112}$$ is equal to :
420
400
360
320
Q.17
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 :
0
12
13
20
Q.18
287 × 287 + 269 × 269 - 2 × 287 × 269 = ?
534
446
354
324
Q.19
? × $$\left( {|a| \times |b|} \right) = - {\text{ ab}}$$
0
-1
1
None of these
Q.20
If you subtract - 1 from + 1, what will be the result ?
- 2
0
1
2
Q.21
The sum of the digits of a 3-digit number is subtracted from the number. The resulting number is always :
Not divisible by 9
Divisible by 9
Not divisible by 6
Divisible by 6
Q.22
The number of zeros at the end of the product 5 × 10 × 15 × 20 × 25 × 30 × 35 × 40 × 45 × 50 is :
5
7
8
10
Q.23
The number of prime numbers between 0 and 50 is :
14
15
16
17
Q.24
What number multiplied by 48 will give the same product as 173 multiplied by 240 ?
495
545
685
865
Q.25
A number is divisible by 11 if the difference between the sums of the digit in odd even places respectively is :
A multiple of 3
A multiple of 5
Zero or a multiple of 7
Zero or a multiple of 11
Q.26
The digit in the unit place of the number represented by (7
95
- 3
58
) is :
0
4
6
7
Q.27
Which of the following numbers are completely divisible by 7 ?
I. 195195
II. 181181
III. 120120
IV. 891891
Only I and II
Only II and III
Only I and IV
Only II and IV
All are divisible
Q.28
What should come in place of * mark in the following equation ?
1 * 5 $ 4 ÷ 148 = 78
1
4
6
8
None of these
Q.29
The least number more than 5000 which is divisible by 73 is -
5009
5037
5073
5099
Q.30
What is 348 times 265 ?
88740
89750
92220
95700
Q.31
8888 + 848 + 88 - ? = 7337 + 737
1450
1550
1650
1750
None of these
Q.32
What should be the maximum value of q in the following equation?
5P9 - 7Q2 + 9R6 = 823
5
6
7
9
None of these
Q.33
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 ?
2 divides n
3 divides n
7 divides n
n > 84
Q.34
If 37 X 3 is a four-digit natural number divisible by 7, then the place marked as X must have the value :
0
3
5
9
Q.35
6 × 3 (3 - 1) is equal to :
19
20
36
53
Q.36
325325 is a six-digit number. It is divisible by :
7 ONLY
11 ONLY
13 ONLY
ALL 7, 11 AND 13
Q.37
If a and b are two numbers such that ab = 0, then -
a = 0 and b = 0
a = 0 or b = 0 or both
a = 0 and b $$ \ne $$ 0
b = 0 and a $$ \ne $$ 0
Q.38
If a + b + c = 6 and ab + bc + ca = 10, then value of a
3
+ b
3
+ c
3
- 3abc is :
36
48
42
40
Q.39
The smallest number of 5 digits beginning with 3 and ending with 5 will be :
31005
30015
30005
30025
Q.40
2 - 2 + 2 - 2 + ..... 101 terms = ?
-2
0
2
None of these
Q.41
The number formed from the last two digits (ones and tens) of the expression 2
12n
- 6
4n
, where n is any positive integer is :
10
00
30
02
Q.42
If x, y, z and w be the digits of a number beginning from the left, the number is :
xyzw
wzyx
x + 10y + 100z + 1000w
10
3
x + 10
2
y + 10z + w
Q.43
The number 534677 is divisible by 777. The difference of divisor and remainder is :
577
676
687
789
Q.44
Which of the following is a prime number ?
19
20
21
22
Q.45
If $$13 = \frac{{13w}}{{\left( {1 - w} \right)}}$$ , then (2w)
2
= ?
$$\frac{1}{4}$$
$$\frac{1}{2}$$
1
2
Q.46
If m and n are positive integers, then the digit in the unit's place of 5
n
+ 6
m
is always :
1
5
6
n + m
Q.47
The number of zeros at the end of 60! is :
12
14
16
18
Q.48
Between two distinct rational numbers a and b, there exists another rational number which is :
$$\frac{a}{2}$$
$$\frac{b}{2}$$
$$\frac{ab}{2}$$
$$\frac{a + b}{2}$$
Q.49
$$1.\overline {27} $$ in the form $$\frac{{\text{p}}}{{\text{q}}}$$ is equal to :
$$\frac{127}{100}$$
$$\frac{73}{100}$$
$$\frac{14}{11}$$
$$\frac{11}{14}$$
Q.50
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 ?
13
15
12
14
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