Explore topic-wise InterviewSolutions in .

1. 50

DL and BM
are the heights on sides AB and AD respectively of parallelogram ABCD
(see the given figure). If the area of the parallelogram is 1470 cm²,
AB = 35 cm and AD = 49 cm, find the length of BM and DL.

Find each
of the following products:

(a) 3 ×
(− 1) (b) (− 1) ×
225

(c) (−
21) × (− 30) (d) (−
316) × (− 1)

(e) (−
15) × 0 ×
(−18) (f) (− 12) ×
(− 11) × (10)

(g) 9 ×
(− 3) × (−
6) (h) (− 18) × (−
5) × (− 4)

(i) (−
1) × (−2) ×
(− 3) × 4

(j) (−
3) × (− 6) ×
(− 2) × (− 1)

Jia makes 6 glasses of strawberry shake. Each glass requires 2 strawberries. Find the total number of strawberries required to make 6 glasses of shake.

[Two friends discussing over a 2-dimensional figure]

Arjun: The length of rope required to surround it (the figure) exactly, no more no less, is called its area.

Shubh: The amount of cloth required to cover it exactly, no more no less, is called its area.

Pick the correct option.

The sum of an exterior angle of a triangle and its adjacent angle is always _____.

Question 05

Which of the following rational number is equal to its reciprocal?

(a) 1

(b) 2

(c) $\frac{1}{2}$

(d) 0

In the adjoining figure, $p\parallel q$. The unknown angles are

Question 115(v)

Express of following in standard form:

Express 56 km in m.

(a) Find all the angles of a right-angled isosceles triangle.
(b) Is a triangle ABC with side length AB = 12 cm, BC = 8 cm and AC = 20 cm possible? Explain why. [3 MARKS]

The circumference of a circle is equal to 88 cm. Find the circumference of a quarter-circle with the same radius.

Which of the following information are needed to draw a unique $\Delta ABC$?

What is the formula to find the circumference of a circle?

Question 100 (ii)

Express the following property with variables x, y and z.

Commutative property of multiplication

Write which is a set and which is not a set in the groups given below.

All intelligent students of mathematics

How is $\frac{12}{25}$ represented as a decimal?

Question 102

Ravi can walk 3 $\frac{1}{3}$ km in one hour. How long will it take him to walk to his office which is 10 km from his home?

Question 5(vii)
Write the following equation in statement form:
4p - 2 = 18

Question 86(vi)
The marks out of 100 obtained by Kunal and Soni in the half-yearly examination are given below:

Who got more marks in S. Science and What was the difference of marks?

Select the numberline that shows integers between $3$ and $-1$.

A polygon having eight sides, is called:

Question 5(e)
Find the product, using suitable properties:
$625\times (-35)+(-625)\times 65$

Which of the following are two irrational numbers between 5 and 6 ?

Arrange the following in ascending order.

i. $21\times (-34)\times (-12)$



ii. $(7\times 8)-9$



iii. $7\times (8-9)$



iv. $21\times (-34)\times \left(12\right)$

State
whether a given pair of terms is of like or unlike terms.

(i) 1,
100 (ii) (iii) −
29x, − 29y

(iv) 14xy,
42yx (v) 4m²p, 4mp² (vi) 12xz,
12 x²z²

To express the speed of the supersonic jet, which is 130000 m/s in the standard form, we write it as $1.3\times {10}^a$ m/s. The value of a is

If $a$, $b$ are the integers other than zero, $m$ is an odd integer, the value of $(-a\times b{)}^m$ for $a=1$, $b=2$ and $m=3$ is

Solve the following problems.

A certain sum of money amounts to Rs. 1,512 in 2 years and Rs. 1,568 in 3 years at S.I. Find the principal and the rate of interest.

Each of these questions are based on the information given below:

In the original arrangement who is sitting just opposite to N ?

Raj wants to buy the following:

A DVD player for $\$47.85$, a DVD holder for $\$21.36$ and a stereo for $\$22.01$. If he has $\$90$, how much more money is required?