Explore topic-wise InterviewSolutions in Current Affairs.

If $t=4\sqrt{\frac{h}{32}}$ and $t=12$, then find the value of h.

The cost price of $18$ mangoes is equal to the selling price of $16$ mangoes. What is the profit percent?

Question 2 (iii)
Find the number of digits in the square root of each of the following numbers (without any calculation):

4489

Question 1(iii)
Multiply the binomials:
(2.5l-0.5m) and ( 2.5l+0.5m)

Vishal invests ₹ 12000 for three years at the rate of $10\%$ per annum compound interest. Find the sum due to Vishal at the end of the first year.

1. 616

Factorise Completely : $a^2+2ab+b^2-c^2$

A quadrilateral whose diagonals are equal and bisect each other at right is a

At Srinagar temperature was $-{15}^o$ on Monday and then it dropped by $2^o$ on Tuesday. On Wednesday, it rose by ${11}^o.$ What was the temperature on Wednesday?

I give you lengths of 2 sides for a quadrilateral and tell you that this information is enough to construct it.What kind of quadrilateral do you need to construct and how will you construct it? [2 MARKS]

The number 4000 is first increased by 25% and then decreased by 30%. Find the resulting increase or decrease %.

Factorise : $a^2+ax+ab+bx$

The ages of A and B are in the ratio 7 : 5. Ten years hence, the ratio of their ages will be 9 : 7. Find their present ages.

Which of the following equation is not a linear equation?

Factorise:
$x^2-11x-42$

If a $△$QPR is right angled at P, then what is the longest side of the triangle?

If you have to draw the quadrilateral ABCD given below, what all measurements will you need to draw the quadrilateral ABCD? The measurements are given in following options which of the options can help to draw ABCD?

Question 4 (ii)

A verandah of width 2.25 m is constructed all along outside a room which is 5.5 m long and 4 m wide. Find:
The cost of cementing the floor of the verandah at the rate of ₹200 per $m^2$.

If a brick has length, breadth and height in the ratio 1:2:3 and the total surface area of the brick is 792 sq. m, then the volume of the brick is _______.

Question 14

Write the correct answer from the given four options.

The hypotenuse of a right-angled triangle with its legs of lengths $3x\times 4x$ is

a) 5x
b) 7x
c) 16x
d) 25x

Factorise : $x^2+6x+8$

The perimeter of a rectangle is $40m$. Its length is four meters less than five times its breadth. Find the area of the rectangle.

The difference between the compound interest and the simple interest accrued on an amount of Rs. 18,000 in 2 years was Rs.405. What was the rate of interest?

If $P(2,8)$ is an interior point of a circle $x^2+y^2-2x+4y-p=0$ which neither touches nor intersects the axes, then set for $p$ is -

If we know that one side of a rectangle is 8 cm. Can we construct a unique rectangle?

A coin was tossed 100 times. What is the maximum probability of occurrence of tail?

Verma and Sharma are partners in a firm sharing profits and losses in the ratio of 5 : 3. They admitted Ghosh as a new partner for 1/5 share of profits. Ghosh is to bring in Rs 20,000 as capital and Rs 4,000 as his share of goodwill premium. Give the necessary Journal entries :

(a) When the amount of goodwill is retained in the business.

(b) When the amount of goodwill is fully withdrawn.

(c) When 50% of the amount of goodwill is withdrawn.

(d) When goodwill is paid privately.

1. 10

The radius of the base and the height of a cylinder are in the ratio of 2 : 3. If its volume is $12936c{m}^3$, then the total surface area of the cylinder is

Given A = $\{0,1,2,3,4,5\},B=\{0,2,4,6,8\}andC=\{0,3,6,9\}$. Show that

(i) $A\cup (B\cup C)=(A\cup B)\cup C$ i.e. the union of sets is associative.

(ii)$A\cap (B\cap C)=(A\cap B)\cap C$ i.e. the intersection of sets is associative.

If $p=3$ and $q=4$, then find the value of $3p^2{q}^2$. [1 MARK]

Factorise :

$\left(i\right)6x^3-8x^2\left(ii\right)35a^3{b}^{2}c+42a{b}^2{c}^2\left(iii\right)36x^2{y}^2-30x^3{y}^3+48x^3{y}^2\left(iv\right)8(2a+3b{)}^3-12(2a+3b{)}^2\left(v\right)9a(x-2y{)}^4-12a(x-2y{)}^3$

Question 8

Which quantities in the previous question vary inversely with each other?
(a) x and y
(b) p and q
(c) r and s
(d) u and v

Draw the front, top and side view of cone. [4 MARKS]

$Solve:4yz(z^2+6z-16)÷2y(z+8)$

Let $n\left(U\right)=700$, $n\left(A\right)=200$, $n\left(B\right)=300$ and $n(A\cap B)=100,\text{then}n(A^c\cap B^c)$ is -

In $\Delta$ ABD, AB=AD and AC is perpendicular to BD. State the property by which $\Delta$ ADB $\cong$ $\Delta$ ADC.

Tick the correct answer in each of the following:

In a spinning wheel, there are 3 white and 5 green sectors. It is spinned. What is the probability of getting a green sector ?

$\left(a\right)\frac{5}{3}\left(b\right)\frac{5}{8}\left(c\right)\frac{1}{5}\left(d\right)\frac{3}{8}$

Question 45

In the following question, fill in the blanks to make the statements true.

$[2^{-1}+3^{-1}+4^{-1}{]}^0=$ ___

If $N_a=\{an:n\in N\}$ , then $N_3\cap N_4$ =

In a parallelogram ABCD, $\angle D={135}^{\circ }$ determine the measure of $\angle A$ and $\angle B$.