Mathematics - Fractions and Decimals
Exam Duration: 45 Mins Total Questions : 30
Which of the following is true with respect to \(\frac { 9 }{ 16 } and\frac { 13 }{ 5 } \)?
- (a)
\(\frac { 9 }{ 16 } >\frac { 13 }{ 5 } \)
- (b)
\(\frac { 9 }{ 16 } =\frac { 13 }{ 5 } \)
- (c)
\(\frac { 9 }{ 16 } <\frac { 13 }{ 5 } \)
- (d)
\(\frac { 13 }{ 5 } <\frac { 9 }{ 16 } \)
Which of the following is the improper fraction form of \(12\frac { 1 }{ 5 } \)?
- (a)
\(\frac { 72 }{ 5 } \)
- (b)
\(\frac { 61 }{ 5 } \)
- (c)
\(\frac { 108 }{ 5 } \)
- (d)
\(\frac { 85 }{ 5 } \)
Which of the following is a proper fraction?
- (a)
\(\frac { 28 }{ 15 } \)
- (b)
\(\frac { 21 }{ 23 } \)
- (c)
\(\frac { 16 }{ 7 } \)
- (d)
\(\frac { 34 }{ 3 } \)
What is the product of a fractional number and its reciprocal?
- (a)
0
- (b)
same number
- (c)
1
- (d)
undefined
What should be added to \(\frac { 21 }{ 27 } \) to make it \(\frac { 26 }{ 27 } \)?
- (a)
\(\frac { 26 }{ 27 } \)
- (b)
\(\frac { 6 }{ 27 } \)
- (c)
\(\frac { 5 }{ 27 } \)
- (d)
\(\frac { 7 }{ 27 } \)
What is the equivalent fraction of \(\frac { 8 }{ 11 } \) having the numberator 40?
- (a)
\(\frac { 40 }{ 11 } \)
- (b)
\(\frac { 44 }{ 40 } \)
- (c)
\(\frac { 40 }{ 55 } \)
- (d)
\(\frac { 10 }{ 40 } \)
What do you call the fractions which have one as the numerator?
- (a)
Like fractions
- (b)
Unlike fractions
- (c)
Unit fractions
- (d)
Equal fractions
How many parts should be shaded in the figure B to make it represent the same fraction as the unshaded part of the figure A?
- (a)
3
- (b)
15
- (c)
8
- (d)
12
Madhavi eats one full bar of chocolate. Then she divides another one into 5 equal parts and eats 3 of them. What is the total number of chocolates that she has eaten?
- (a)
\(\frac { 4 }{ 5 } \)
- (b)
\(\frac { 3 }{ 5 } \)
- (c)
\(\frac { 8 }{ 5 } \)
- (d)
\(\frac { 8 }{ 10 } \)
Look at the alphabets given.
P R A S A D
What fraction of alphabets are made of 3 straight lines?
- (a)
\(\frac { 1 }{ 3 } \)
- (b)
\(\frac { 1 }{ 6 } \)
- (c)
\(\frac { 2 }{ 5 } \)
- (d)
\(\frac { 5 }{ 6 } \)
Look at the alphabets given.
P R A S A D
What fraction of alphabets are made of semicircles and straight lines?
- (a)
\(\frac { 1 }{ 2 } \)
- (b)
\(\frac { 2 }{ 5 } \)
- (c)
\(\frac { 5 }{ 6 } \)
- (d)
\(\frac { 4 }{ 5 } \)
Which figure shows \(\frac { 1 }{ 10 } \) shaded?
- (a)
- (b)
- (c)
- (d)
A book consists of 216 pages. During last week, Suresh .read \(\frac { 3 }{ 4 } \) of the book. How many pages did he read?
- (a)
126
- (b)
162
- (c)
116
- (d)
161
The product of two numbers is 15\(\frac { 5 }{ 6 } \). If one of the numbers is 6\(\frac { 2 }{ 3 } \), what is the other number?
- (a)
\(\frac { 3 }{ 8 } \)
- (b)
\(1\frac { 3 }{ 8 } \)
- (c)
\(2\frac { 3 }{ 8 } \)
- (d)
\(3\frac { 3 }{ 8 } \)
Ravi had \(\frac { 5 }{ 6 } \) of a cake. He ate \(\frac { 2 }{ 3 } \) of it. What part of the cake did he eat?
- (a)
\(\frac { 5 }{ 9 } \)
- (b)
\(\frac { 10 }{ 12 } \)
- (c)
\(\frac { 10 }{ 6 } \)
- (d)
\(\frac { 10 }{ 3 } \)
How is the fractional number for 5 out of 7 written?
- (a)
\(\frac { 5 }{ 7 } \)
- (b)
\(\frac { 7 }{ 5 } \)
- (c)
\(\frac { 4 }{ 7 } \)
- (d)
\(\frac { 4 }{ 5 } \)
The value of
\((1-\frac{1}{2})(1-\frac{1}{3})(1-\frac{1}{4})....(1-\frac{1}{10})=\)______.
- (a)
\(\frac{10}{11}\)
- (b)
\(\frac{1}{9}\)
- (c)
\(\frac{1}{10}\)
- (d)
\(\frac{1}{2}\)
The vulgar fraction of 0.231 can be expressed as_____.
- (a)
\(\frac{229}{990}\)
- (b)
\(\frac{229}{900}\)
- (c)
\(\frac{231}{1000}\)
- (d)
\(\frac{231}{999}\)
What fraction of the figure is shaded?
- (a)
\(\frac{1}{4}\)
- (b)
\(\frac{3}{8}\)
- (c)
\(\frac{5}{8}\)
- (d)
\(\frac{8}{11}\)
Find the value of x.
3889 + 12.952 - x = 3854.002
- (a)
47.095
- (b)
47.752
- (c)
47.932
- (d)
47.95
The quotient when 0.00639 is divided by 0.213 is______.
- (a)
0.3
- (b)
0.03
- (c)
0.003
- (d)
3
Pictorial representation of \(3\times\frac{2}{3}\) is:
- (a)
- (b)
- (c)
- (d)
When 40257 is divided by 213, the quotient is 189, what will be the quotient when 40.257 is divided by 0.0189?
- (a)
21300
- (b)
213
- (c)
1890
- (d)
2130
Simplify:\(\frac{1+\frac{1}{2}}{1-\frac{1}{2}}\div\frac{4}{7}(\frac{2}{5}+\frac{3}{10})\ of(\frac{\frac{1}{2}+\frac{1}{3}}{\frac{1}{2}-\frac{1}{3}})\)
- (a)
\(\frac{2}{3}\)
- (b)
\(37\frac{1}{2}\)
- (c)
\(\frac{3}{2}\)
- (d)
\(18\frac{3}{8}\)
The value of \(738.6\times5.4+7.8\div2.6=\)
- (a)
3252.84
- (b)
1537.01
- (c)
3991.44
- (d)
3992.44
Akshit, Rajat, Sanjay and Nikunj each took the same spelling test.
1. Akshit spelled \(\frac{7}{10}\) of the words correctly.
2. Rajat spelled \(\frac{3}{4}\) of the words correctly.
3. Sanjay spelled \(\frac{4}{5}\) of the words correctly.
4. Nikunj spelled \(\frac{2}{3}\) of the words correctly.
Who spelled the least number of words correctly?
- (a)
Akshit
- (b)
Rajat
- (c)
Sanjay
- (d)
Nikunj
In how many parts can a rod of length 19.5 m be broken into equal lengths of 65 cm?
- (a)
20
- (b)
30
- (c)
3
- (d)
130
A milkman sells 42 litres of milk at Rs 19.75 per litre to a hostel. How much money should he get from the hostel?
- (a)
Rs 1892
- (b)
Rs 829.50
- (c)
Rs 165.85
- (d)
Rs 122.50
Study the following statements.
Statement-1: Fraction of shaded part of
is \(\frac{7}{16}.\)
Statement-2: Fraction of shaded part of
is \(\frac{4}{9}.\)
Which of the following options holds?
- (a)
Both Statement-1 and Statement-2 are true.
- (b)
Statement-1 is true but Statement-2 is false.
- (c)
Statement-1 is false but Statement-2 is true.
- (d)
Both Statement-1 and Statement-2 are false.
Match the following.
Column-I | Column-II |
(P) \(2\div 0.5\) | 20 |
(Q) \(5\div 0.25\) | 0.25 |
(R) \(0.75\div 3\) | 0.1 |
(S) \(0.5\div 5\) | 4 |
- (a)
(P)\(\rightarrow\)(ii), (Q)\(\rightarrow\)t(i), (R)\(\rightarrow\)(iv), (S)\(\rightarrow\)(iii)
- (b)
(P)\(\rightarrow\)(iv), (Q)\(\rightarrow\)(ii), (R)\(\rightarrow\)(i), (S)\(\rightarrow\)(iii)
- (c)
(P)\(\rightarrow\)(i), (Q)\(\rightarrow\)(iv), (R)\(\rightarrow\)(ii), (S)\(\rightarrow\)(iii)
- (d)
(P)\(\rightarrow\)(iv), (Q)\(\rightarrow\)(i), (R)\(\rightarrow\)(ii), (S)\(\rightarrow\)(iii)