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Published on: 31/10/2025
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Questions + Answers key
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1.
Which of the following is correct?
\(\frac{1}{-2}>\frac{-1}{3}\)
\(\frac{1}{-2}<\frac{-1}{3}\)
\(\frac{1}{-2}=\frac{-1}{3}\)
None of these.
2.
Which of the following rational numbers is not equivalent to \(\frac{7}{-4}?\)
\(\frac{14}{-8}\)
\(\frac{21}{-12}\)
\(\frac{28}{-16}\)
\(\frac{7}{-8}\)
3.
The rational number \(\frac{12}{40}\) in standard form is
\(\frac{3}{10}\)
\(\frac{6}{10}\)
\(\frac{3}{20}\)
\(\frac{6}{40}\)
4.
The denominator of the rational number 8 is
8
2
4
1
5.
A watch was purchased for Rs 316 and sold for Rs 300. What is the loss?
Rs 16
Rs 8
Rs 24
Rs 32
6.
What is \(12{1\over2}\%\) of 200?
25
12
40
100
7.
The perimeter of the following figure is
27 cm
28 cm
36 cm
40 cm
8.
The radius of a circle is 7 cm. Find its area
154 cm2
77 cm2
11 cm2
22 cm2
9.
Which of the following is not the value of \(\pi\) ?
\(\frac { 22 }{ 7 } \)
\(\frac { 7 }{ 22 } \)
\(\frac { 355 }{ 113 } \)
3.14
10.
0.04 as per cent is
10%
20%
25%
4%
11.
The area of a parallelogram is 20 cm2 and height is 2 cm. Find the corresponding base
4 cm
6 cm
8 cm
10 cm
12.
One of the sides and the corresponding height of a parallelogram are 3 cm and 1 cm respectively. The area of the parallelogram is
1 cm2
3 cm2
6 cm2
12 cm2
13.
The area of a parallelogram of base 5 cm and height 3.2 cm is
8 cm2
12 cm2
16 cm2
20 cm2
14.
Which of the following cannot be the sides of a right triangle?
2 cm, 2 cm, 4 cm
5 cm, 12 cm, 13 cm
6 cm, 8 cm, 10 cm
3 cm, 4 cm, 5 cm
15.
1 hectare=
10 m2
100 m2
1000 m2
10000 m2
16.
If rand d are the radius and diameter of a circle respectively, then
d = 2r
d = r
d =\(\frac { 1 }{ 2 } \)r
d= r3
17.
The perimeter of a semi-circle of radius 'r' is:
\(\pi\)r2+ 2r
\(\pi\)r+ 2
3\(\pi\)r
r(\(\pi\)+2)
18.
Which of the following is not a positive rational number?
\(\frac{3}{5}\)
\(\frac{-3}{-5}\)
\(\frac{-3}{5}\)
\(\frac{-p}{-q}\)
19.
The perimeter of the adjoining figure is:

58 cm
36 cm
25 cm
14 cm
20.
Length of a rectangle is 8 cm and diagonal is 10 cm. Its area is:
80 cm2
48 cm2
60 cm2
96 cm2
21.
Area of a right-angled triangle is:
\(\frac{base \times altitude}{2}\)
\(\sqrt\frac{base \times altitude}{2}\)
\(\frac{1}{2}\times\)base\(\times\)hypotenuse
\(\frac{1}{2}\times\) altitude \(\times\) hypotenuse
22.
The area of a square is 100 cm2 . The circumference (in cm) of the largest circle cut out of it is
5\(\pi\)
10\(\pi\)
15\(\pi\)
20\(\pi\)
23.
It the radius of a circle is tripled, the area becomes
9 times
3 times
6 times
30 times
24.
Area of circular garden with diameter 8 m is :
12.56 m2
25.12 m2
50.24 m2
200.96 m2
25.
The standard form of \(\frac{-48}{60}\)is:
\(\frac{48}{60}\)
\(\frac{-60}{48}\)
\(\frac{-4}{5}\)
\(\frac{-4}{-5}\)
26.
Which of the following cannot be the length of the third side of a triangle, whose two sides measure 10 cm and 5 cm?
12 cm
16 cm
14 cm
13 cm
27.
In a right angled \(\triangle ABC\),if \(\angle B=90^0\) BG = 3cm and AC = 5 cm, then the length of side AB is
3 cm
4 cm
5 cm
6 cm
28.
If the exterior angle of a triangle is 130° and its interior opposite angles are equal, then measure of each interior opposite angle is
55°
65°
50°
60°
29.
The sides of a triangle have length (in cm) 10, 6.5 and a, where a is a whole number. The minimum value that a can take is
6
5
3
4
30.
Which pair shows equivalent rational numbers?
\(\frac { 3 }{ 4 } ,\frac { 6 }{ 8 } \)
\(\frac { 5 }{ 6 } ,\frac { 5 }{ 12 } \)
\(\frac { 3 }{ 2 } ,\frac { 3 }{ 4 } \)
None of these
1.
(b)
\(\frac{1}{-2}<\frac{-1}{3}\)
2.
\(\frac{7}{-4}=\frac{7\times2}{-4\times2}=\frac{14}{-8}\ne\frac{7}{-8}\)
3.
\(\frac{12}{40}=\frac{12\div4}{40\div4}=\frac{3}{10}\)
4.
(d)
1
5.
Loss = Rs 316 - Rs 300 =Rs 16.
6.
\(12{1\over2}\% of\ 200={25\over2}\times {200\over100}=25.\)
7.
Perimeter = \(2\times 7+\frac { 22 }{ 7 } \times 7\)
= 14 + 22 = 36 cm
8.
Area =\(\frac { 22 }{ 7 } \times 7\times 7\)= 154 cm2
9.
(b)
\(\frac { 7 }{ 22 } \)
10.
0.04 =\({4\over 100}={4\over100}\times 100\%=4\%\)
11.
Base =\(\frac { 20 }{ 2 } \)=10 cm
12.
Area = 3\(\times\)1 = 3 cm2
13.
Area = 5\(\times\)3.2 = 16 cm2
14.
22 + 22 = 8; 42 = 16 \(\therefore\) 22 + 22 \(\neq \) 42
15.
(b)
100 m2
16.
(a)
d = 2r
17.
(d)
r(\(\pi\)+2)
18.
(c)
\(\frac{-3}{5}\)
19.
(c)
25 cm
20.
(b)
48 cm2
21.
22.
(b)
10\(\pi\)
23.
(a)
9 times
24.
(c)
50.24 m2
25.
(c)
\(\frac{-4}{5}\)
26.
(b)
16 cm
27.
(b)
4 cm
28.
(b)
65°
29.
(d)
4
30.
(a)
\(\frac { 3 }{ 4 } ,\frac { 6 }{ 8 } \)
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