Explore topic-wise InterviewSolutions in .

Let ABCD be a parallelogram. What special name will you give it:

(a) if AB = BC?

(b) if ∠BAD = 90°?

(c) if AB = AD and ∠BAD = 90°?

1. 13

Which of the following is a linear expression in one variable?

In a rhombus with diagonal 10 cm, each side will be ______ 5 cm.

A bag contains one rupee,50p coins,25p coins in the ratio 5:6:8 amounting to rupess 210. Find number of coins of each type.

Question 4 (iii)

Subtract $4p^{2}q-3pq+5p{q}^2-8p+7q-10from18-3p-11q+5pq-2p{q}^2+5p^{2}q.$

Sum of two number is 42. One number is 6 more than the other number .What are the numbers?

Question 159(ii)

Using law of exponents, $a^m\times a^n=a^{m+n}$ [$\because$ a is non-zero integer]

Find the perimeter of the minor sector $OAB$ shown below.



cm

Question 56

State whether the following statement is true or false:

​​​​​​​Two cuboids with equal volume will always have equal surface area.

The diagonals of a rhombus are $7.5cm$ and $12cm.$ Find its area.

Question 2 (iii)

Find the number of digits in the square root of each of the following numbers (without any calculation):

4489

Four alternative options are given for each of the following statements. Select the correct option.

The midpoint of class interval (10 - 19) is:

A. 10

B. 14

C. 15

D. 14.5

What is Sales Tax? These days the prices include some other tax. What is it?

The number of students in class 20 minutes ago was 729 . If the number of students joining the class triples every 10 minutes, what is the cube root of the number of students joining after 40 minutes from now?

There is a square park in a society of side 7 m. What is the cost of laying bricks in the park at the rate of ₹ 10 / m².

In
Question 2 above, if 1 part of a red pigment requires 75 mL of base,
how much red pigment should we mix with 1800 mL of base?

Find the area of the right-angled triangle with hypotenuse 40 cm and one of the other two sides 25 cm.

The mean weight of a group of five girls is 54 kg. The individual weights (in kg) of four of them are 54, 62, 58 and 56. Find the weight of the fifth girl.

The compound interest on a certain sum of money for two years is Rs 525 and the simple interest on the same sum of money at the same rate and same time is Rs 500. Find the sum.

Question 151

A skirt that is $35\frac{7}{8}$ cm long has a hem of $3\frac{1}{8}$ cm. How long will the skirt be if the hem is let down?

1. 10

The shape of the cross section of a canal is a trapezium. If the canal is 10 m wide at the top, 6 m wide at the bottom and the area of its cross section is 640 $m^2,$ find the depth of the canal.

Which of the following numbers is the cube of an even number?

Arun took a loan of Rs 390625 from Kuber Finance. If the company charges interest at $16\%$ per annum, compounded quarterly, what amount will discharge his debt after one year?

Find x in $x^2-9=72$.

The daily minimum temperatures in degrees celsius recorded in a certain Arctic region are as follows:



-12.5, -10.8, -18.6, -8.4, 10.8, -4.2, -4.8, -6.7, -13.2, - 11.8,

-2.3, 1.2, 2.6, 0, 2.4, 0, 3.2, 2.7, 3.4, 0,

-2.4, -2.4, 0, 3.2, 2.7, 3.4, 0, -2.4, -5.8, -8.9,

-14.6, -12.3, - 11.5, -7.8, - 2.9.



Represent them as frequency distribution table taking - 19.9 to -15 as one of the class interval

Ted went to the nursery and bought the saplings. At the nursery, grass beds were being sold. In order to put them on his lawn, he bought 28 rectangular grass beds measuring 10 cm by 15 cm. When he went back and arranged them on his lawn, 4 beds were left unused. Find the area of the lawn (in square cm).

Question 2(iii)

State True or False.

If square of a number ends with 5, then its cube ends with 25.

A bird
flies 1 kilometer in one minute. Can you express the distance covered
by the bird in terms of its flying time in minutes? (Use t for
flying time in minutes.)

Question 81 (iv)

Add :

$5x^2-3xy+4y^2-9,7y^2+5xy-2x^2+13$

Upon adding a number and its reverse, the result obtained is divisible by ___.

Choose the rational numbers, which lie, between the rational numbers, $\frac{3}{8}$​ and $\frac{7}{12}$​

I
borrowed Rs 12000 from Jamshed at 6% per annum simple interest for 2
years. Had I borrowed this sum at 6% per annum compound interest,
what extra amount would I have to pay?

A point P has coordinates (7, 10) in a coordinate system X′OX ↔ Y′OY. Suppose it has coordinates (10, 7) in another coordinate system with. Find the coordinates of Q₁ in the system X′OX ↔ Y′OY.