Explore topic-wise InterviewSolutions in Current Affairs.

Find the number of squares and triangles in the given figure.

Which of the following is a pair of perfect square numbers?

If there is an isosceles triangle with at least one angle equal to ${60}^{\circ }$, then it must be a/ an ___triangle.

The lateral surface area of a hollow cylinder is $4224c{m}^2$. It is cut along its height and formed a rectangular sheet of width $33cm$. Find the perimeter of rectangular sheet?

Sixty years ago, what percentage of MPs were women?

$\text{In an isosceles-trapezium, show that the opposite angles are supplementary.}$

Evaluate If a + b + c = 15 and $a^2+b^2+c^2$ = 125 , find ab + bc + ca

4abc^2+abd^2+2a^2cd+2b^2cd. How to factorise this?

A square and a rectangular field with measurements as given in the figure have the same perimeter. The field with larger area is :

Assertion : The median of the following observation 0, 1, 2, 3, x, x+2, 8, 9, 11, 12 which arranged in ascending order is 63, then the value of x is 62.
Reason : Median of n even observations is $\frac{{\left(\frac{n}{2}\right)}^{th}term+{(\frac{n}{2}+1)}^{th}term}{2}$
Which of the following is correct.

Govind borrows Rs 18,000 at 10% simple interest.He immediately invests the money borrowed at 10 % compound interest compounded half -yearly .How much money does Govind gain in one year?

If A, B and C are three sets such that $A\cap B=A\cap CandA\cup B=A\cup C$, then

Rahim's age and his wife's age are in the ratio 4 : 3. After 4 years, the ratio of their ages will be 9 : 7. Find Rahim's age.

In a regular pentagon ABCDE, draw a diagonal BE and then find the measure of :

(i) $\angle BAE$

(ii) $\angle ABE$

(iii) $\angle BED$

In the number 8134__4 fill in the blank in such a way so that the new number obtained is exactly divisible by 4.

Match the two columns for the figure shown below

$\begin{array}{cc}\text{Column - I}& \text{Column - II}\\ \text{(A) Area of}\square DABC& \text{(p) 41}\\ \text{(B) Area of}\Delta ADC& \text{(q) 126}\\ \text{(C) Area of}\Delta ABC& \text{(r) 306}\\ \text{(D) AC}& \text{(s) 180}\end{array}$

Choose the correct option:

Simplify:

$\left(i\right)(7x-8)(3x+2)\left(ii\right)(px-q)(px+q)\left(iii\right)(5a+5b-c)(2b-3c)\left(iv\right)(4x-5y)(5x-4y)\left(v\right)(3y+4z)(3y-4z)+(2y+7z)(y+z)$

What is the minimum number of measurements required to construct a unique rhombus?

Consider a 3-digit number and reverse its digits. Find the difference between original and reversed number. By what numbers this difference is divisible? Select all that apply.

$4.1xy(1.1x-y)$

Construct a parallelogram, one of whose sides is 4.4 cm and whose diagonals are 5.6 cm and 7 cm. Measure the other side.

Find the compound interest at the rate of $10\%$ per annum for two years on that principal which in two years at the rate of $10\%$ per annum gives Rs. 200 as simple interest.

A loaded track covers 16 km in 25 minutes. At the same speed, how far can it travel in 5 hours ?

Factorise :

$(3x-4y{)}^2-25z^2$

Question 92 (i)

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

$x^2-9$

Question 60

In questions which of the following vary directly and which vary inversely with each other and which are neither of the two?
(i) The time taken by a train to cover a fixed distance and the speed of the train.
(ii) The disatnce travelled by CNG bus and the amount of CNG used.
(iii) The number of people working and the time to complete a given work.
(iv) Income tax and the income.
(v) Distance travelled by an auto-rickshaw and time taken.

Question 100

Divide 293 by 1000000 and express the result in standard form:

Question 7

In a school, only 3 out of 5 students can participate in a competition. What is the probability of the students who do not make it to the competition?

(a) 0.65

(b) 0.4

(c) 0.45

(d) 0.6

If a square of side 8m and a rectangle of length 12m have the same perimeter, then find the area of the rectangle (in m²)?

Without using the formula for compound interest solve the following problem. A sum of Rs 20,000 is borrowed by Heena for 2 years at an interest of 8% compounded annually. Find the Compound Interest (C.I.) and the amount she has to pay at the end of 2 years.

If the unit digit of a number is 7, then the unit digit of its cube is

A man invests ₹ 3000 for three years at compound interest. After one year, the money amounts to ₹ 3240. Find the rate of interest and the amount (approximated to the nearest rupee) at the end of 3 years.

The value of ${15.8}^2-{4.2}^2$ is equal to

1. 4

$\text{Observe the given triangles and find the}\text{value of}\angle P.$

Determine the line containing the point (2,3)

The frequency of number 9 in 0, 4, 6, 9, 3, 5, 4, 9, 1, 0, 9 is ______.

Question 5 (iii)

For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also, find the square root of the square number so obtained:

1008

Which among the following doesn’t have (-1,3) as a solution?

Factorise:

$a^4-1$

Which of the following is not a perfect square?