Explore topic-wise InterviewSolutions in .

Question 14

In the following question, out of the four options, only one is correct. Write the correct answer:

If x be any non-zero integer, then $x^{-1}$ is equal to:

(a) x

(b) $\frac{1}{x}$

(c) -x

(d) $\frac{-1}{x}$

Question 107

For the development of basic infrastructure in a district, a project of Rs 108 crore approved by Development Bank is as follows :

$\begin{array}{ccccc}Itemhead& Road& Electricity& Drinkingwater& Sewerage\\ Amount\left(inRscrore\right)& 43.2& 16.2& 27.00& 21.6\end{array}$

Draw a pie chart for this data.

What is the mean of the numbers 5,6 and 7

When we bisect an angle of ${45}^{\circ }$ , we get two angles. ​​​​​

Convert the decimal fractions into common fractions.
(1)$27.5$
(2) $0.007$
(3) $90.8$
(4) $39.15$
(5) $3.12$
(6) $70.400$

In a right-angled triangle, which of the following is true?

(h=hypotenuse, a and b are the perpendicular sides)

A certain amount has been divided into two parts in the ratio 2:7. If the second part is ₹ 210 . Total amount is ₹ ___

Let $P_1,P_2,...,P_{15}$ be $15$ points on a circle. The number of distinct triangles formed by points $P_i,P_j,P_k$ such that $i+j+k\ne 15,$ is

Question 113

Solve the following

Madhulika thought of a number, doubled it and added 20 to it. On dividing the resulting number by 25, she gets 4. What is the number?

Question 78 (iii)

If a and b vary inversely to each other, then find the value of l,m,n.

Give four
rational numbers equivalent to:

(i) (ii) (iii)

If ΔABC ≅ ΔFED under the correspondence ABC ↔ FED, write all the Corresponding congruent parts of the triangles.

Sonu bought a bicycle for Rs 3,750 and spent Rs 250 on its repairs. He sold it for Rs 4,400. Find his loss or profit percentage.

Exponential form of 9 x 9 x 9 x 9 with base 3 is

8 $\%$ of 600 = _________

Which of the following represent the sample space of the roll of a fair die?

Solve using suitable property, state the property used.

8 x 5 x 125 x 20 x 6

Question 92 (xxii)

Factorise the following using the identity $a^2-b^2=(a+b)(a-b).$

$16x^4-81$

Question 9

Mother has made laddus. She gives some laddus to guests and family members; still 5 laddus remain. If the number of laddus mother gave away is $l$, how many laddus did she make?

which of the following figures shows the repeated addition of 3 three times?

In the given figure, PQRS is a rectangle if $\angle RPQ={30}^{\circ }$. Then, the value of (x + y) is:

Without adding, find the sum of the following:

\(i.1+3+5+7+9+11+13+15+17+19+21 =___\)

Question 89

Shabnam takes 20 minutes to reach her school, if she goes at a speed of 6 km/h. If she wants to reach school in 24 minutes. What should be her speed?

Express the following standard form.

(a) 5 × 10⁶ + 4 × 10⁵ + 2 × 10³ + 9 × 10² + 6 × 10⁰

(b) 4 × 10⁵ + 8 ×10³ + 7 × 10¹

Select all the correct statements about the property of multiplicative inverse.

Solve the following.

Divide Rs.75 between A and B in the ratio 3 : 2. Find the share of B.

The sketches which give an idea of how a figure looks like, when seen from the front (the exact dimensions need not be the same) are called: