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Arithmetic Ability
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Quiz 5
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Q.1
If $$\frac{4}{5}$$ of an estate be worth Rs. 16800, then the value of $$\frac{3}{7}$$ of it is -
Rs. 90000
Rs. 9000
Rs. 72000
Rs. 21000
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 -
Rs. 4000
Rs. 5000
Rs. 6000
Rs. 7000
Q.3
$$\frac{2}{3}$$ of three-fourth of a number is :
$$\frac{1}{2}$$ of the number
$$\frac{1}{3}$$ of the number
$$\frac{8}{9}$$ of the number
$$\frac{11}{12}$$ of the number
Q.4
The greatest four digit number which is exactly divisible by each one of the numbers 12, 18, 21 and 28 :
9828
9882
9928
9288
Q.5
A number exceeds its two fifth by 75. The number is :
125
100
112
150
Q.6
When 'n' is divisible by 5 the remainder is 2. What is the remainder when n
^{2}
is divided by 5 ?
2
3
1
4
Q.7
If 17
^{200}
is divided by 18, the remainder is -
17
16
1
2
Q.8
A number is doubled and 9 is added, If the resultant is tripled, it becomes 75. What is the number ?
6
3.5
8
None of these
Q.9
What least value must be assigned to '*' so that the number 63576 * 2 is divisible by 8 ?
1
2
3
4
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 -
19
22
7
Nil
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:
7 and 4
7 and 5
8 and 5
None of these
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 ?
339
349
369
Data inadequate
None of these
Q.13
If a and b are two distinct natural numbers, which one of the following is true ?
$$\sqrt {a + b} > \sqrt a + \sqrt b $$
$$\sqrt {a + b} = \sqrt a + \sqrt b $$
$$\sqrt {a + b} < \sqrt a + \sqrt b $$
$$ab = 1$$
Q.14
Which of the following fraction is the smallest ?
$$\frac{7}{6},\,\frac{7}{9},\,\frac{4}{5},\,\frac{5}{7}$$
$$\frac{7}{6}$$
$$\frac{7}{9}$$
$$\frac{4}{5}$$
$$\frac{5}{7}$$
Q.15
Which of the following is a prime number ?
33
81
93
97
Q.16
What is the unit digit in {(6374)
^{1793}
x (625)
^{317}
x (341
^{491}
)}?
0
2
3
5
Q.17
The sum of even numbers between 1 and 31 is:
6
28
240
512
None of these
Q.18
(12)
^{3}
× 6
^{4}
× 432
^{-1}
= ?
5184
5060
5148
5084
None of these
Q.19
72519 × 9999 = ?
725117481
674217481
685126481
696217481
None of these
Q.20
Which of the following number is not divided by 18 ?
54036
50436
34056
65043
Q.21
The largest among the numbers ?
$${\left( {0.1} \right)^2}$$
$$\sqrt {0.0121\,} $$
0.12
$$\sqrt {0.0004} $$
Q.22
The product of two numbers is 120 and the sum of their squares is 289. The sum of the two number is -
23
7
13
169
Q.23
397 × 397 + 104 × 104 + 2 × 397 × 104 = ?
250001
251001
260101
261001
None of these
Q.24
The difference of the squares of two consecutive even integers is divisible by which of the following integers ?
3
4
6
7
None of these
Q.25
$$\frac{1}{5}$$ of a number exceeds $$\frac{1}{7}$$ of the same number by 10. The number is -
25
150
175
200
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 -
0.2
0.4
0.02
0.04
Q.27
5358 × 51 = ?
273258
273268
273348
273358
None of these
Q.28
The sum of first five prime numbers is:
11
18
26
28
None of these
Q.29
What is the unit digit in the product (3
^{65}
× 6
^{59}
× 7
^{71}
)?
1
2
4
6
None of these
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
1, 2
2, 3
3, 2
4, 1
None of these
Q.31
Which of the following number is divisible by 24 ?
35718
63810
537804
3125736
None of these
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 ?
0
1
2
4
None of these
Q.33
On dividing a number by 357, we get 39 as remainder. On dividing the same number 17, what will be the remainder ?
0
3
5
11
None of these
Q.34
The digit in unit's place of the product (2153)
^{167}
is -
1
3
7
9
Q.35
Which one of the following is a prime number ?
161
221
373
437
None of these
Q.36
How many numbers less than 1000 are multiple of both 10 and 13 ?
6
7
8
9
Q.37
If (10
^{12}
+ 25)
^{2}
- (10
^{12}
- 25)
^{2}
= 10
^{n}
, then the value of n is :
5
10
14
20
Q.38
If a = 7, b = 5, c = 3, then the value of a
^{2}
+ b
^{2}
+ c
^{2}
- ab - bc - ca is :
- 12
0
8
12
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 ?
61
64
78
85
Q.40
Which of the following digits will replace the H marks in the following equation ?
9H + H8 + H6 = 230
3
4
5
9
None of these
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 -
62
63
64
65
Q.42
All natural numbers and 0 are called the ..... numbers.
rational
integer
whole
prime
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
0
1
2
3
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 ?
240
270
295
360
None of these
Q.45
The sum of all three digit numbers, each of which on divide by 5 leaves remainder 3, is -
180
1550
6995
99090
Q.46
397 × 397 + 104 × 104 + 2 × 397 × 104 = ?
250001
251001
260101
261001
Q.47
$$\sqrt 2 $$ is a/an -
rational number
natural number
irrational number
integer
Q.48
If a number is divisible by both 11 and 13, then it must be necessarily :
429
Divisible by (11 × 13)
Divisible by (11 + 13)
Divisible by (13 - 11)
Q.49
Which of the following numbers is divisible by 3, 7, 9 and 11 ?
639
2079
3791
37911
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 :
$${r_{1}}$$$${r_{2}}$$$${r_{3}}$$
$${r_{1}}$$ + $${r_{2}}$$ - $${r_{3}}$$
$${r_{1}}$$ - $${r_{2}}$$ + $${r_{3}}$$
$${r_{1}}$$ + $${r_{2}}$$ - $${r_{3}}$$
0 h : 0 m : 1 s
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