Explore topic-wise InterviewSolutions in .

Factorise:
$q^2-10q+21$

Three numbers are in the ratio 1:2:3 . The sum of their cubes is 7776. Then difference between the biggest and smallest number is?

Five horses are in a race. Mr. A selects two of the horses at random and bets on them. The probability that Mr. A selected the winning horse is

What are the values of $x$ and $y$ if $△ABC~△PQR$ ?

Difference between a four digit number and its reverse is always divisible by

Question 87(iv)

Classify the following statements under appropriate headings.
Getting 7 when a die is thrown?

$\begin{array}{ccc}\text{Certain to happen}& \text{Impossible to happen}& \text{May or may not happen}\\ & & \\ & & \end{array}$

Match the column I with their respective number of digits in the fractional part of that number in column II.

Tap on the pythagorean triplets among the following.

Solve the following:

(i) x + 3 = 11; (ii) y − 9 = 21; (iii) 10 = z + 3; (iv) ; (v) 10x = 30; (vi) ;

(vii) ; (viii) ; (ix) 8x − 8 = 48; (x) ; (xi) ; (xii) ;

(xiii) 3 (x + 6) = 24; (xiv) ; (xv) 3(x + 2) − 2(x − 1) = 7.

Which of the following doesn't have any vertices or flat faces?

Guess the rule of linear relation for the given mapping diagram.

Two numbers are in the ratio 2:3 the difference of there cubes is 9.728 find the numbers

Estimate the square root of 24 to the nearest whole number.

Question 98

A wooden box (including the lid) has external dimensions $40cm\times 34cm\times 30cm$. If the wood is 1 cm thick, how many $c{m}^3$ of wood is used in it?

Given, log a=b, express 10^2b-3 in terms of a

Question 79(iv)

Given, the principal = Rs. 40000, rate of interest = 8% per annum compound annually. Find Amount if period is two year.

Ramu worked 8 hours and got 400 rupees are wages. Benny worked 6 hours and got 300 rupees. Are the wages proportional to the hours of work?

Arrange the given heights of 20 students in grouped distribution with a class interval of 5. The number of students above the height of 169cm is

Heights (in cm): 150, 153, 162, 170, 186, 153, 162, 180, 165, 150, 178, 156, 184, 176, 173, 186, 159, 183, 180, 156.

Find the squares of; (i) 85; (ii) 115; (iii) 165.

An ancient coin is tossed a $100$ times out of which $40$ tosses resulted in heads. What are the odds in favor of getting a tail?

The dimensions of a metal block are 2.25 m by 1.5 m by 27 cm. It is melted and recast into cubes, each of the side 45 cm. How many cubes are formed?

In the given figure, ∠DFE $={90}^{\circ }$, $FG\perp ED$, If $GD=8$, $FG=12$, find (i) $EG$ (ii) $FD$ and (iii) $EF$

Question 21

The following pie chart represents the distribution of proteins in parts of human body.



What is the central angle of the sector (in the above pie chart) representing skin and bones together?

(a) 36°

(b) 60°

(c) 90°

(d) 96°

The last digit of a perfect square can never be

A. 1

B. 3

C. 5

D. 9

Pair the numbers with their respective additive inverses.

Name the quadrilateral whose diagonals bisect each other.

In the game of ludo, you start your move if you get 6 after throwing the dice for the first time. What is the probability that you will start your move after the first throw?

Rashi ordered pizza and coke for her friends. The bill appeared like this where two digits now represented by A and B, were not visible clearly.

$\begin{array}{ccc}A& 1& 2\\ +3& 1& B\\ 5& 2& 5\end{array}$

So she decided to find the two digits A and B. What would be the values of A and B?

The GCD of m²-3m-18 and m²+5m+6 is:

Factorise : $64x^3-729y^3$

In the given figure, area of $△AED$ = _____ $\times$ area of parallelogram ABCD.

If set A and set B have 3 and 6 elements respectively, then which of the following can be the minimum number of elements in $(A\cup B)$?

The point Q$\left(x,y\right)$ is equidistant from two points P $\left(a+b,b-a\right)$and R $\left(a-b,a+b\right)$ such that P,Q,R lies on same straight line drawn on cartesian plane, then value of $\left(x,y\right)$ will be