Explore topic-wise InterviewSolutions in Current Affairs.

Which of the following factors play an important role while constructing a pie chart?

What is the least number which must be subtracted from greatest four digit number so as to get a perfect square?

Observe the following graph.

The distance covered at 11:15 AM is:

What is the surface area of a sphere?

In which of the following pairs, the numbers are not additive inverses of each other?

Work out the surface area of the following shape.

Find the smallest natural number whose square is sum of squares of two natural numbers? [2 MARKS]

The radii of two circles are 49 cm and 63 cm. How much longer is the circumference of the second circle than the first? [2 MARKS]

In a right-triangle, the hypotenuse is 6 m more than twice the shortest side. If the third side is 2 m less than the hypotenuse, then the length of hypotenuse is ___ m .

A figure has no line of symmetry but a rotational symmetry of 2. Draw and name the respective figure? Find its area given that its side length is 5m and base length is 6m and height is 4m. [4 MARKS]

The diameters of two cones are equal. If their slant heights are in the ratio 3:4, then find the ratio of their curved surface areas.

Match the following polynomials with their respective quotients when divided by $x$.

123 can be expressed as:

A closed box measures 66 cm, 36 cm and 21 cm from outside. If its walls are made of metal-sheet, 0.5 cm thick; find:

i) The capacity of the box;

ii) Volume of metal - sheet and

iii) Weight of the box, if $1c{m}^3$ of metal weights 3.6 gm.

Factorize:

$a^2-b^2-2b-1$

B Ltd. issued 1,000, 12% debentures of Rs.100 each on January 1, 2005 at a discount of 5% redeemable at a premium of 10%. Give journal entries relating to the issue of debentures and debentures interest for the period ending December 31, 2005 assuming that interest is paid half yearly on June 30 and December 31 and tax deducted at source is 10%. B Ltd. follows calendar year as its accounting year. 1

Z Ltd issued, 2000, $14\%$ debentures of Rs 100 each on January 01, 2005 at a discount of $10\%$ redeemable at a premium of $10\%$ in equal annual drawings in 4 years our of profits.
Give journal entries at the time of issue and redemption of debentures (Ignore the treatment of loss on issue of debentures and interest.)

ABCD is a parallelogram. What kind of quadrilateral will it be if,

AC = BD and AC is perpendicular to BD ?

Find the square of :

(i) $3x+\frac{2}{y}$

(ii) $\frac{5a}{6b}-\frac{6b}{5a}$

(iii) $2m^2-\frac{2}{3}{n}^2$

(iv) $5x+\frac{1}{5x}$

(v) $8x+\frac{3}{2}y$

(vi) $607$

(vii) $391$

(viii) $9.7$

Calculate the amount on a sum of ₹8000 for 1 year at an interest rate of $10\%$ per annum compounded half-yearly.

$\frac{2}{5}$ of total number of students of a school come by car while, $\frac{1}{4}$ of students come by bus to school. All the other students walk to school of which $\frac{1}{3}$ walk on their own and the rest are escorted by their parents. If $224$ students come to school walking on their own, how many students study in that school?

Question 92 (xxiii)

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

$x^4-y^4$

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

$\frac{a-8}{3}=\frac{a-3}{2}$

Factorise:

$z^2-12z-45$

Find the number of non square numbers between the square of 13 and 12. Also write the formula.

Find the length of the longest rod that can be placed in a room 12 m long, 9 m broad and 8 m high.

Sohan bought a second-hand refrigerator for Rs.2500 and spent Rs.1500 on its repair. He then sold it for Rs. 3300. What is the gain or loss%?

How to find the square root of $\frac{25}{12}$ to three decimal places.

A certain sum amounts to ₹ 8000 in 3 years and ₹ 10,000 in 5 years. Find the sum

Factorise by taking out the common factors:

$2(2x-5y)(3x+4y)-6(2x-5y)(x-y)$

√45 × √20

Which of the following options demonstrate the associative property for integers?

How do you represent $0.625$ in the form of $\frac{p}{q}$ where $p$ and $q$ are integers?

Square root of 0.00008281

The following data shows the number of saplings planted by 17 students. Using tally marks create the frequency table.

1, 2, 3, 4, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 3

Simplify: $(2a+b{)}^3-(2a-b{)}^3$

The value of $x$ satisfying the equation $x-\frac{7}{5}=\frac{13}{5}$ is:

There is a box which contains 4 red, 3 blue and 1 black identical balls. For each red ball withdrawn (without replacement), you have to put 1 blue and 1 black ball in the bag. For each blue ball withdrawn (without replacement), you have to put 2 blue and 1 red ball. If the first ball drawn is red, what will be the content of the box just before withdrawing the second ball?

Is 2x^{​​​​​​2} - 2_/x a polynomial?

C(20,r) = C(20, r + 2)

What is the value of C(r,6) ?

xy(z² + 1) + z(x² + y²) can be factorise as