Explore topic-wise InterviewSolutions in Current Affairs.

In which of the following quadrants does the point A (2, -3) lie ?

(a) I

(b) II

(c) III

(d) IV

Points E and F lie on diagonal AC of a parallelogram ABCD such that AE = CF. What type of quadrilateral is BFDE ?

Cardinal number for set G={x|x N, 5 < x < 9} is

ABCD is a rhombus. If <ACB is 40 degree ,find <ADB.

If 14 is the HCF of 4p and 21q, then minimum value of p and q are:

Find the smallest number that should be added to 1727 to make it divisible by 3.

A, B, C, ......... Z represent the numbers from 1, 2, 3,...... 26. There is an encryption technique which uses a key. Key can be any number less than 26 and greater than 0. For a message ABCD, if key is 1, encrypted message becomes BCDE. Similarly, if the key is 5, and message is XYZA, the encrypted message becomes CDEF. If you get an encrypted message from a friend as 'FCJN'. This was encrypted using key = 24. The original message is ___ .

Prove that the oppsoite angles of a parallelogram are equal. [3 MARKS]

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

Question 101

Complete the following table.

Find the total number of persons, whose weights are given above table.

Match the following figures with the fractions represented by the shaded portion.

Question 11

$\frac{5}{7}÷6$ is

(a) $\frac{30}{7}$
(b) $\frac{5}{42}$
(c) $\frac{30}{42}$
(d) $\frac{6}{7}$

Q. रमेश को 4 में से 3 बार सही निशाना साधने वाला माना जाता है, जबकि अनुज को 3 में से 2 बार सही निशाना साधने वाला माना जाता है। दोनों के द्वारा निशाना सही साधे जाने की प्रायिकता क्या है?

A shopkeeper buys an article for Rs.8,000 and sells it for Rs. 10,000. If the rate of tax under VAT is 10%, find : (i) tax paid by the shopkeeper (ii) tax charged by the shopkeeper (iii) VAT paid by the shopkeeper

The prime factorization of 648 is

Question 45

Fill in the blanks to make the statements true.

The least number by which 125 be multiplied to make it a perfect square is ___.

Arun needed to measure the area of a cardboard required to create his craft project. The shape he needed is displayed in the figure below. Which of the following could be used by him to determine the area of this flower shaped figure?

Find the square root of the following decimal number

31.36

On dividing $24x{y}^2\times z^2$ by $6y{z}^2$, we get

Which is the most simplest and fastest way to find cube root? A shortcut

I. 9$x^2$ - 18 + 5 = 0

II. 2$y^2$ - 9y + 10 = 0

A storage tank in the form of a cube has water up to its brim. The amount of water in the tank is 4096m${}^3$. After some time, it is found that depth of water present is 12m. Find the volume of water used.

An algebraic fraction is said to be in its lowest form if it has ___ common factor.

Sunita purchases a bicyle for Rs. 660. She has paid a VAT of $10\%$. Find the list price of bicycle.

The radii between the curved surface area and the total surface area of a right circular cylinder is 1:2. Prove that its height and radius are equal.

Match the following expressions with their products.

In a simultaneous throw of a pair of dice, find the probability of getting:

(i) 8 as the sum

(ii) a doublet

(iii) a doublet of prime numbers

(iv) a doublet of odd numbers

(v) a sum greater than 9

(vi) an even number on first

(vii) neither 9 nor 11 as the sum of the numbers on the faces

(ix) a sum less than 6

(x) a sum less than 7

(xi) a sum more than 7

(xii) at least once

(xiii) a number other than 5 on any dice.

A bag contains 3 red balls, 5 black balls and 4 white balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is :

(i) white ? (ii) red ? (iii) black ? (iv) not red ?

A dealer buys a wristwatch for Rs. 225 and spends Rs. 15 on its repairs. If he sells the same for Rs. 300, find his profit percent.

Unit digit of the number we get when 255 is multiplied with 36 is

Reema weaves 35 baskets in 25 days. In how many days will she weave 55 baskets?

If V is the volume of a cubiod of dimensions a, b, c and S is its surface area, then prove that $\frac{1}{V}=\frac{2}{S}(\frac{1}{a}+\frac{1}{b}+\frac{1}{c})$

There is a pentagonal shaped park as shown in the figure. Jyoti and Kavita divided it in two different ways.

Find the area of this park using both ways. Can you suggest another way of finding its area?

Solve each of the following equations and also verify your solution :

$\frac{x}{2}-\frac{4}{5}+\frac{x}{5}+\frac{3x}{10}=\frac{1}{5}$

6 men can complete theelectric fitting in a building in 7 days. How many days will it take if 21 men do the job?

Question 84 (vi)

Simplify

$(2.5m+1.5q{)}^2+(2.5m-1.5q{)}^2$

Question 146(iii)
The table shows the portion of some common materials that are recycled.
$\begin{array}{cc}\text{Material}& \text{Recycled}\\ \text{Paper}& \frac{5}{11}\\ \text{Aluminium cans}& \frac{5}{8}\\ \text{Glass}& \frac{2}{5}\\ \text{Scrap}& \frac{3}{4}\end{array}$
Is the quantity of aluminium cans recycled more (or less) than half of the quantity of aluminium cans?

Question 61

State whether the following statement is true or false:

There are 200 natural numbers between ${100}^2$ and ${101}^2$.

$(-9)\times 20=$___

Question 158(ii)

Find a single machine that will do the same job as the given hook-up.
$a(\times 2^4)$ machine followed by $(\times {\left(\frac{1}{2}\right)}^2)$ machine.
Maya multiplied $(4^2\times 3^2)$ by thinking about stretching machines.

Use Maya's idea to multiply $5^3\times 2^3$.
Maya's idea is another product law of exponents.
Multiplying Expressions with the same Exponents
$a^c\times b^c=(a\times b{)}^c$
You can use this law with more than two expressions. If the exponents are the same, multiply the expressions by multiplying the bases and using the same exponent. e.g. $2^8\times 3^8\times 7^8=(2\times 3\times 7{)}^8={42}^8$.

Find the S.P if

(i) M.P = Rs. 1300 and Discount $=10\%$

(ii) M.P = Rs. 500 and Discount $=15\%$