Explore topic-wise InterviewSolutions in Current Affairs.

An article was purchased for $Rs.1239$ including GST of $18\%$. Find the price of the article before GST was added.

Is a square prism same as a cube?

Simplify :

${(a-b)}^2+4ab$

Question 4 (iii)

State whether the following statement is true or false. Give reasons for your answer.

Every rational number is a whole number.

Factorise:
$a^2{m}^2-b^2{n}^2$

The
following figures GUNS and RUNS are parallelograms. Find x
and y.
(Lengths are in cm)

Find the square root of 7.832 correct to :

(i) 2 decimal places

(ii) 2 significant digits.

Find the smallest perfect square divisible by 3,4,5 and 6.

Simplify $\left(\frac{2+\sqrt{5}}{2-\sqrt{5}}\right)+\left(\frac{2-\sqrt{5}}{2+\sqrt{5}}\right)$.

Construct a triangle PQR in which PQ + PR = 6.5 cm, QR = 5.4 cm and ∠Q = 40°.

If the present petrol price is ₹ 50, then what is the new price when:

i) there is an increase in 20% on the original price?

ii) there is a decrease in 10% on the original price?

$If3x+5y=11andxy=2,\text{find the value of}9x^2+25y^2$

Find the amount on Rs. 3600 at 10% p.a for 1 year, compounded annually?

When will ₹ 1600 amount to ₹ 1764 at 5 percent C.I ?

Let ABCD be a quadrilateral in which the diagonals intersect at O perpendicularly. Prove that AB + BC + CD + DA > AC + BD.

When we start constructing a quadrilateral with 2 diagonals and 3 sides known, in how many ways can the construction be started?

__m is the height of a parallelogram so that the area is 136 $m^2$. Given height is 8m

In a ΔABC, AB = AC and ∠A = 50°. Find ∠B and ∠C.

Prove logically the diagonals of a parallelogram bisect each other. Show conversely that a quadrilateral in which diagonals bisect each other is a parallelogram.

A juice vendor prepares fruit juice by mixing apple juice and grape juice in the ratio of $5:3.$ The vendor takes an order to make $2\text{L}$ of fruit juice. Find the required quantity of grape juice using the graphical method.

Solve:

Question 24

Total number of outcomes, when a ball is drawn from a bag which contains 3 red, 5 black and 4 blue balls is:

(a) 8

(b) 7

(c) 9

(d) 12

Complete the adjoining magic square. (Hint: In a 3 × 3 magic square, the magic sum is three times the central number.)

Question 92 (v)

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

$28a{y}^2-175a{x}^2$

Q16. Study the following pie diagrams and answer the question given below.

In 1997, the total number of which of the following types of pairs of employees was approximately equal to the 19998?

Question 1 (d)
State whether true or false.

(d) All squares are not parallelograms.

A cuboidal vessel is 10 cm long and 5 cm wide. How high it must be made to hold 300 $c{m}^3$ of a liquid?

The Possible value(s) of $a$ such that, the distance between the points $(2,3)$ and $(a,4)$ is equal to $\sqrt{17}$ units is/are:

Question 2 (i)

The following number is obviously not a perfect square. Give reasons.

1057

1.5 as a percentage is ___

R Ltd offered 20,00,000, 10% Debentures of Rs.200 each at a discount of 7% redeemable at premium of 8% after 9 years. Record necessary entries in the books of R Ltd.