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Arithmetic Ability
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Quiz 9
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Q.1
In a farm there are cows and hens. If heads are counted there are 180, if legs are counted there are 420. The number of cows in the farm is :
130
50
150
30
Q.2
$$\frac{1}{{20}}$$ $$ + $$ $$\frac{1}{{30}}$$ $$ + $$ $$\frac{1}{{42}}$$ $$ + $$ $$\frac{1}{{56}}$$ $$ + $$ $$\frac{1}{{72}}$$ $$ + $$ $$\frac{1}{{90}}$$ $$ + $$ $$\frac{1}{{110}}$$ $$ + $$ $$\frac{1}{{132}}$$ is equal to :
$$\frac{1}{8}$$
$$\frac{1}{7}$$
$$\frac{1}{6}$$
$$\frac{1}{10}$$
Q.3
The greatest number among the following : $$0.7 + \sqrt {0.16} ,$$ $$1.02 - \frac{{0.6}}{{24}},$$ $$1.2 \times 0.83,$$ and $$\sqrt {1.44} $$
$$0.7 + \sqrt {0.16} $$
$$\sqrt {1.44} $$
$$1.2 \times 0.83$$
$$1.02 - \frac{{0.6}}{{24}}$$
Q.4
The least number that must be subtracted from 63520 to make the result a perfect square is -
30
24
14
16
Q.5
If a = 4011 and b = 3989, then value of ab = ?
15999879
15899879
15989979
15998879
Q.6
The greatest among following numbers is : $${\left( 3 \right)^{\frac{1}{3}}},$$ $${\left( 2 \right)^{\frac{1}{2}}}$$ , 1, $${\left( 6 \right)^{\frac{1}{6}}}$$
$${\left( 2 \right)^{\frac{1}{2}}}$$
1
$${\left( 6 \right)^{\frac{1}{6}}}$$
$${\left( 3 \right)^{\frac{1}{3}}}$$
Q.7
The digit in unit's place of the product -
$${\left( {2464} \right)^{1793}}$$ $$ \times {\left( {615} \right)^{317}}$$ $$ \times {\left( {131} \right)^{491}}$$
0
2
3
5
Q.8
Thrice the square of a natural number decreased by four times the number is equal to 50 more than the number, the number is -
6
5
10
6
Q.9
$$999\,\frac{1}{7} + 999\frac{2}{7} + 999\frac{3}{7} + $$ $$999\frac{4}{7} + $$ $$999\frac{5}{7} + $$ $$999\frac{6}{7}$$ is simplified to-
5997
5979
5994
2997
Q.10
The unit digit in $${\left( {122} \right)^{173}}$$ is ?
2
4
6
8
Q.11
$$\,{2^{16}} - 1$$ is divisible by -
11
13
17
19
Q.12
If n is a whole number greater then 1, then n
^{2}
(n
^{2}
- 1) is always divisible by -
16
12
10
8
Q.13
Three numbers are in the ratio 1 : 2 : 3, and the sum of their cubes is 4500. The smallest number will be -
4
5
6
10
Q.14
The number 2272 and 875 are divided by a 3 digit number N, giving the same remainders. The sum of the digit is :
10
11
12
13
Q.15
Find the sum of all positive multiples of 3 less than 50 :
400
404
408
412
Q.16
The value of $$\left( {0.\overline {63} + 0.\overline {37} } \right)$$ is :
1
$$\frac{{100}}{{99}}$$
$$\frac{{99}}{{100}}$$
$$\frac{{100}}{{33}}$$
Q.17
Find the multiple of 11 in the following numbers.
112144
447355
869756
978626
Q.18
The product of two positive numbers is 11520 and their quotient is $$\frac{9}{5}$$. Find the difference between two numbers.
60
64
74
70
Q.19
If a and b are odd numbers, then which of the following is even ?
a + b + ab
a + b - 1
a + b + 1
a + b + 2ab
Q.20
When 2
^{31}
is divided by 5 the remainder is -
4
3
2
1
Q.21
If 1 is added to the both the numerator and the denominator of a fraction, it becomes $$\frac{1}{4}$$ . If 2 is added to both the numerator and the denominator of that fraction it becomes $$\frac{1}{3}$$ . The sum of the numerator and the denominator and the denominator of the fraction is -
8
13
22
27
Q.22
A man ate 100 grapes in 5 days. Each day he ate 6 more grapes then those he ate on the earlier day. How many grapes did he eat on the first day ?
8
12
54
76
Q.23
The least number of five digits which is divisible by 123 ?
10037
10086
10081
10063
Q.24
The denominator of a fraction is 3 more than its numerator. If the numerator is increased by 7 and denominator is decreased by 2, we obtain 2. The sum of numerator and denominator of the fraction is -
5
13
17
19
Q.25
The value of $$\left( {99\frac{{95}}{{99}}} \right) \times 99$$ is :
9798
9997
9898
9896
Q.26
A number when divided by 91 gives a remainder 17. When the same number is divided by 13. The remainder will be -
0
4
6
3
Q.27
A rational number between $${\text{ }}\frac{3}{4}$$ and $${\text{ }}\frac{3}{8}$$ is :
$${\text{ }}\frac{7}{9}$$
$${\text{ }}\frac{7}{3}$$
$${\text{ }}\frac{5}{9}$$
$${1\text{ }}\frac{9}{16}$$
Q.28
If the operation '*' is defined by a * b = a + b - ab, then 5 * 7 equals :
12
- 47
- 23
35
Q.29
The smallest five digit number which is divisible by 12, 18 and 21 is :
10080
30256
10224
50321
Q.30
If m and n are natural numbers such that 2
^{m}
- 2
^{n}
= 960, what is the value of m ?
10
12
15
Cannot be determined
Q.31
If m and n are integers divisible by 5, which of the following is not necessarily true ?
m + n is divisible by 10
m - n is divisible by 5
m
^{2}
- n
^{2}
is divisible by 25
None of these
Q.32
$$1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{7} + \frac{1}{{14}} + \frac{1}{{28}}$$ is equal to :
2
2.5
3
3.5
Q.33
In a two digit number, the digit at the unit's place is 1 less than twice the digit at the ten's place. If the digits at unit's and ten's place are interchanged, the difference between the new and the original number is less than the original number by 20. The original number is :
59
23
35
47
Q.34
A number when divided by 136 leaves remainder 36. If the same number is divided by 17, the remainder will be :
2
3
7
9
Q.35
136 × 12 × 8 = ?
12066
13046
13064
13066
None of these
Q.36
Find the least 6-digit number which is exactly divisible by 349 ?
100163
101063
160063
None of these
Q.37
The value of 5
^{2}
+ 6
^{2}
+ .... + 10
^{2}
+ 20
^{2}
is :
755
760
765
770
Q.38
By how many of the following numbers is 2
^{12}
- 1 divisible ?
2, 3, 5, 7, 10, 11, 13, 14
4
5
6
7
Q.39
The least number of five digit is exactly divisible by 88 is :
10032
10132
10088
10023
Q.40
The difference between the squares of any two consecutive integers is equal to :
an even integer
difference of given integers
sum of given integers
product of given integers
Q.41
In a division sum, the divisor is 12 times the quotient and 5 times the remainder. If the remainder is 48, then the dividend is :
2404
3648
4808
4848
Q.42
The smallest 6-digit number exactly divisible by 111 is :
111111
110011
100011
110101
None of these
Q.43
Let S be the set of prime numbers greater than or equal to 2 and less than 100. Multiply all the elements of S. With how many consecutive zeros will the product end ?
1
4
5
10
Q.44
If a
^{2}
+ b
^{2}
+ c
^{2}
= 1, what is the maximum value of abc ?
$$\frac{1}{3}$$
$$\frac{1}{3{\sqrt 3 }}$$
$$\frac{2}{{\sqrt 3 }}$$
1
Q.45
Which is not a prime number ?
13
19
21
17
Q.46
111, 111, 111, 111 is divisible by :
3 and 37 only
3, 11 and 37 only
3, 11, 37 and 111 only
3, 11, 37, 111 and 1001
Q.47
If x and y are positive integers such that (3x + 7y) is a multiple of 11, then which of the followings is also a multiple of 11 ?
5x - 3y
9x + 4y
4x + 6y
x + y + 6
Q.48
If p,q,r are all real numbers then (p - q)
^{3}
+ (q - r)
^{3}
+ (r - p)
^{3}
is equal to :
(p - q) (q - r) (r - p)
3(p - q) (q - r) (r - p)
1
0
Q.49
7386038 is divisible by :
3
4
9
11
Q.50
If the symbol [x] denotes the greatest integer less than or equal to x, then the value of :
$$\left[ {\frac{1}{4}} \right]$$ $$ + $$ $$\left[ {\frac{1}{4} + \frac{1}{{50}}} \right]$$ $$ + $$ $$\left[ {\frac{1}{4} + \frac{2}{{50}}} \right]$$ $$ + $$ $$....$$ $$ + $$ $$\left[ {\frac{1}{4} + \frac{{49}}{{50}}} \right]$$
0
9
12
49
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