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Arithmetic Ability
Number System
Quiz 1
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
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26
27
28
29
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31
32
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50
Q.1
What is the minimum number of four digits formed by using the digits 2, 4, 0, 7 ?
2047
2247
2407
2470
Q.2
The decimal fraction $$2.3\overline {49} $$ is equal to :
$$\frac{{2326}}{{999}}$$
$$\frac{{2326}}{{990}}$$
$$\frac{{2347}}{{999}}$$
$$\frac{{2347}}{{990}}$$
Q.3
How many 3-digit numbers are there in between 100 and 300, having first and the last digit as 2 ?
9
10
11
12
Q.4
A number x when divided by 289 leave 18 as the remainder. The same number when divided by 17 leaves y as a remainder. the value of y is :
5
2
3
1
Q.5
8899 - 6644 - 3322 = ? - 1122
55
65
75
85
None of these
Q.6
The digit at Hundred's place value of 17! is :
1
0
2
3
Q.7
10531 + 4813 - 728 = ? × 87
168
172
186
212
None of these
Q.8
Find the HCF of (3
125
-1) and (3
35
-1).
3
4
- 1
3
5
- 1
3
12
- 1
None of these
Q.9
11 * X = $$\frac{{693}}{9}$$
3
5
7
9
Q.10
Given that, three numbers are such that the second number is twice the first and thrice the third. Also the average of the three numbers is 44. then the difference of the first and the third is :
10
11
12
13
Q.11
(7
19
+ 2) is divided by 6. The remainder is :
1
2
3
5
Q.12
Let a number of three digits have for its middle digit the sum of the other two digits. Then it is a multiple of :
10
11
19
50
Q.13
If n is a whole number greater than 1, then n
2
(n
2
- 1) is always divisible by :
8
10
12
16
Q.14
If $$\frac{3}{4}$$ of a number is 7 more than $$\frac{1}{6}$$ of the number then $$\frac{5}{3}$$ of the number is :
12
18
15
20
Q.15
The solution to the inequality 12x - 66 $$ \leqslant $$ 6 is :
x $$ \leqslant $$ 6
0 $$ \leqslant $$ x $$ \leqslant $$ 6
-6 $$ \leqslant $$ x $$ \leqslant $$ 6
-6 $$ \leqslant $$ x $$ \leqslant $$ 0
Q.16
The smallest 4-digit number exactly divisible by 7 is :
1001
1007
1101
1108
Q.17
How many 3-digit numbers are completely divisible by 6 ?
149
150
151
166
Q.18
The difference between two numbers is 1365. When the large number is divided by the smaller one, the quotient is 6 and the remainder is 15. What is the smaller number ?
240
270
295
360
Q.19
If a (0.4)
2
, b = 0.04 and c = $$\frac{{2}}{{5}}$$ , then the correct relationship among the three is :
b > a > c
a > b > c
a > c > d
c > a > b
Q.20
The least number which must be added to the greatest number of 4 digits in order that the sum may be exactly divisible by 307 is :
132
32
43
75
Q.21
Two positive whole numbers are such that the sum of the first and twice the second number is 8 and their difference is 2. The numbers are :
7, 5
3, 5
6, 4
4, 2
Q.22
If (64)
2
- (36)
2
= 20 × x, then x = ?
70
120
180
140
None of these
Q.23
Unit digit of the number (22)
23
is :
4
6
7
8
Q.24
A number consists of two digits. If the number formed by interchange the digits is added to the original number, the resulting number (i.e., the sum) must be divisible by -
11
9
5
3
Q.25
How many number between 1000 and 5000 are exactly divisible by 225 ?
16
18
19
12
Q.26
The unit digit in the sum of $${\left( {124} \right)^{372}}\,$$ $$ + \,{\left( {124} \right)^{373}}$$ = ?
5
4
2
0
Q.27
The number of integers in between 100 and 600, which are divisible by 4 and 6 both, is :
40
42
41
50
Q.28
Sum of three consecutive even integers is 54. Find the least integer among them.
18
15
14
16
Q.29
On multiplying a number by 7 all the digit in the product appear as 3's , the smallest such numbers is -
47649
47719
47619
48619
Q.30
The greatest value among the fractions :$$\frac{2}{7},$$ $$\frac{1}{3},$$ $$\frac{5}{6},$$ $$\frac{3}{4}$$
$$\frac{3}{4}$$
$$\frac{5}{6}$$
$$\frac{1}{3}$$
$$\frac{2}{7}$$
Q.31
The sum of three consecutive odd natural numbers each divisible by 3 is 63. What is the largest among them ?
21
24
27
36
Q.32
If the some of a number and its reciprocal be 2 then number is = ?
0
1
-1
2
Q.33
Find the least number of five digits which is divisible by 333 ?
10328
10323
10333
10332
Q.34
A number when divided by 136, leaves remainder 36. If the same number is divided by 17, the remainder will be -
9
7
3
2
Q.35
Find the value of $$\frac{1}{5} + $$ $$999\frac{{494}}{{495}} \times 99$$ = ?
90000
99000
90900
99990
Q.36
Find the largest number, which exactly divides every number of the form (n
3
- n) (n - 2) where n is a natural number greater than 2.
6
12
24
48
Q.37
Two number when divided by 17, leaves remainder 13 and 11 respectively. If the sum of those two numbers is divided by 17, the remainder will be ?
13
11
7
4
Q.38
If two numbers are each divided by the same divisor, the remainder are respectively 3 and 4. If the sum of two numbers be divided by the same divisor, the remainder is 2. The divisor is -
9
7
5
3
Q.39
By which number should 0.022 be multiplied so that product become 66 ?
3000
3200
4000
3600
Q.40
$$1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{7} + \frac{1}{{14}} + \frac{1}{{28}}$$ is equal to :
2
2.5
3
3.5
Q.41
The Remainder of $$\frac{{ {{{888}^{222}} + {{222}^{888}}} }}{3}\,{\text{is}}:$$
0
1
2
3
None of these
Q.42
Find the remainder when
10 + 10
2
+ 10
3
+ 10
4
+ ........ + 10
99
is divided by 6.
0
1
2
3
None of these
Q.43
If m and n are positive integers and (m - n) is an even number, then (m
2
- n
2
) will always be divisible by :
4
6
8
12
Q.44
The least among the fractions $$\frac{{15}}{{16}}$$ , $$\frac{{19}}{{20}}$$ , $$\frac{{24}}{{25}}$$ , $$\frac{{34}}{{35}}$$ is :
$$\frac{{34}}{{35}}$$
$$\frac{{15}}{{16}}$$
$$\frac{{19}}{{20}}$$
$$\frac{{24}}{{25}}$$
Q.45
What decimal of a week is an hour ?
0.0059
0.0062
0.062
0.059
Q.46
Unit digit in $${\left( {264} \right)^{102}} + {\left( {264} \right)^{103}}$$ is :
0
4
6
8
Q.47
Which one of the following is a factor of the sum of first twenty-five natural numbers ?
26
24
13
12
Q.48
The value of : $$\frac{{3.157 \times 4126 \times 3.198}}{{63.972 \times 2835.121}}$$
0.002
0.02
0.2
2
Q.49
Five times of a positive integer is 3 less than twice the square of that number. The number is -
3
13
23
33
Q.50
The remainder of (3)
67!
divided by 80 is :
0
1
2
3
4
0 h : 0 m : 1 s
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