Explore topic-wise InterviewSolutions in .

Andy’s friend Sandy also got his land restructured. In his case, the land was rectangular before. Keeping the same base and same parallels, LandGrabbers restructured it into a parallelogram-shaped land as shown in the figure. Sandy spent Rs. 400 on fencing and Rs. 500 on ploughing earlier. If AE is twice of AD, find the extra amount he has to spent now on fencing and ploughing respectively in terms of ‘x’ and ‘y’.

A figure of sphere is given below:





Find the volume of this sphere.

In a class of $70$ students there are $40$ boys and $30$ girls. $20$ percent of boys and $30$ percent of girls have grey hair and remaining have black hair. A student is selected at random from the class. Let $A,B$ denote the event that the selected student has grey hair, black hair repectively and $E,F$ denote the event that the selected student is boy, girl repectively, then $P(B\cap F)=$

$\text{Solve the following equation for}x\text{.}$

$\frac{5x-4}{6}=2+\frac{3x}{2}$

1. 531616

A group of 3 friends staying together, consume 54 kg of wheat every month. Some more friends join this group and they find that the same amount of wheat lasts for 18 days. How many new numbers are there in this group now ?

Construct a quadrilateral ABCD in which AB=BC=3 cm, AD=5 cm,$\angle A={90}^{\circ }$ and $\angle B={105}^{\circ }$.

Construct right angle triangle LMN in which ∠M = 90°, MN = 4.5 cm and LN = 5.6 cm.

Which of the following is/are not linear equation(s)?

The area of a trapezium is $440c{m}^2$. The lengths of the parallel sides are 60 cm and 28 cm respectively. The distance between the parallel sides is cm.

What could be the possible One’s digits of the square root of each of the following numbers?

$\left(i\right)9801$

$\left(ii\right)99856$

$\left(iii\right)998001$

$\left(iv\right)657666025$

Question 103

Solve the following:

There are 40 passengers in a bus, some with Rs. 3 tickets and remaining with Rs. 10 tickets. The total collection from these passengers is Rs. 295. Find how many passengers have tickets worth Rs. 3?

5929 students are sitting in an auditorium in such a manner,that there was as many students in a row as there are rows in the auditorium.How many rows are there in an auditorium??

Question 122

Solve the following question:

Difference of two perfect cubes is 189. If the cube root of the smaller of the two numbers is 3, then find the cube root of the larger number.

Question 92 (xxv)

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

$16x^4-625y^4$

Meena and Anand each lent the same sum of money for 2 years at 5% simple interest rate and at 5% compound interest rate respectively. Anand received ₹15 more than Meena. Find the amount of money lent by them?

The square root of 0.0009 is ______.

Find the total of number of ways of answering $4$ multiple choice questions, each having $4$ choices?

(a) Subtract 4a
− 7ab + 3b + 12 from 12a − 9ab
+ 5b − 3

(b) Subtract 3xy
+ 5yz − 7zx from 5xy − 2yz −
2zx + 10xyz

(c) Subtract 4p²q − 3pq + 5pq²
− 8p + 7q − 10 from 18 − 3p −
11q + 5pq − 2pq² + 5p²q

The following table shows number of males and females of a locality in different age groups.

$\begin{array}{cccc}\text{Age in years}& 10-20& 21-50& \text{Above}50\\ \text{Male}& 12& 16& 4\\ \text{Female}& 8& 14& 6\end{array}$

If one person is selected at random, find the probability of getting a female.

If the age of fossil is determined by the given expression $9,900,000,000+(4.5\times {10}^6-2.8\times {10}^5)\times 5\times {10}^4$, then it is equivalent to .

Find the surface area of a wooden box whose shape is of a cube, and if the edge of the box is 12 cm.

The sum of two rational nos. Is -2. If one of the nos, is -14/5 find the other number

Question 2 (iii)

Write the point identified by the coordinates (-3, -5).

Question 61

In the following question, state whether the statement is True (T) or False (F):

$(a+b)(a-b)=a^2-b^2$

Given that arc, $\text{AB}$ subtends an angle of ${40}^{\circ }$ to the center of a circle. The angle made by arc $\text{AB}$ in the remaining part of the circle is

Identify the front view of the given solid block.

If x and y vary inversely and x = 18 when y = 8, find x when y = 16.