Explore topic-wise InterviewSolutions in .

Using the information and your understanding till now, choose from the given options, the properties which hold good for the division of the integers?

Venus, although being a planet is called the morning or the evening star. Explain why? [3 MARKS]

Ted was not able to believe that a day before he was in his Mathematics class, desperately waiting for it to get over, and then, all of a sudden, he was in the world of numbers which was so interesting.
He asked \13\), “How are the number houses arranged on this number line?”
$13$ replied, “The number houses are arranged in ___ order of the numbers on the number line.”

Question 25

Given, $4\times 6\frac{1}{3}$ is equal to ___.

A library has 4000 books. Three-fifths of them are English books and a quarter of English books are poetry books. Find the number of English poetry books.

9/11-4/5

Darshan purchased 5 kg of apples out of which ${\frac{1}{4}}^{\text{th}}$ were found rotten. If the remaining apples were divided among 4 people, including Darshan, then the fraction of apples that Darshan got equals __.

If$f\left(x\right)=x+\frac{1}{x},$ prove that $\left[f\right(x){]}^3=f(x{)}^3+3f\left(\frac{1}{x}\right)$. Also determine the value of $\left[f\right(2){]}^3.$

Fill in the blanks: $[1.5\times (1+\_\_\_\left)\right]÷4.5+1÷2=1$

On simplification of $2\frac{1}{4}\text{of}\frac{4}{5}÷3\frac{1}{5}\text{of}\frac{9}{16}$, we get,

Question 3

Identify the numerical coefficients of terms (other than constants) in the following expressions:

(i) $5-3t^2$

(ii) 1 + t + t² + t³

(iii) x + 2xy + 3y

(iv) 100m + 1000n

(v) $-p^2{q}^2+7pq$

(vi) 1.2a + 0.8b

(vii) $3.14r^2$

(viii) 2(l + b)

(ix) $0.1y+0.01y^2$

Which all of the following are Pythagorean triplets?

The square roots of two natural numbers x, y are 25 and 12. It is given that x < y. Choose the correct options.

Question 6 (b)

From the sum of $4+3xand5-4x+2x^2$, subtract the sum of $3x^2-5xand-x^2+2x+5$.

In a class, some chocolates were distributed to the students. The number of chocolates given to each student is exactly the same as the number of students in the class. If a total of 676 chocolates were distributed among the students, how many students are there in the class?

$a^2-b^2+z^2+8x-4y$ = $a^2-\left(x\right)$. Then $x$ equals

Question 3 (vi)

Subtract:

​​​$-x^2+10x-5from5x-10$

Find the value y if m || n and l is the transversal.

1. Prove that the product of two consecutive positive integers is divisible by 2.

2. Prove that the product of three consecutive integers is divisible by 6.

The bar graph shows the results when a die was thrown a number of times. How many sixes were thrown?

Determine the value of 'b' in the following figure:

Question 2 (i)

Find:
$\frac{7}{24}-\frac{17}{36}$

The present ages of rohit and mayank are in the ratio 11:8. Eight years later the sum of their ages will be 54.what are their present ages

The event of increase in age with time is a _______ event.

A book has pages numbered from 1 to 90. If a page is chosen at random, what is the probability that the number of the page is divisible by 8?

If you can eat $\frac{2}{6}$ th part of a medium pizza containing 6 slices, how many slices can you eat?

If ED is parallel to AB, then angle n is equal to

(in degrees).

Find the value of $7^{-3}$.

Ram got 50 chocolates and he distributed all but 1 chocolates among his friends. He is left with ___ chocolates.

Construct a triangle ABC with BC = 6.5 cm, AB = 5.5 cm and AC = 5 cm. Construct the incircle of the triangle. The radius of the incircle is

What is the front view of

Following cards are facing down: [3 MARKS]

Find the probability of drawing:

1. Vowel

2. Consonant

Question 58

Choose a letter x, y, z, p etc ..., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement:

The successor of an integer.

what is kink

If a : b :: c : d then which of the following is correct?

(x+a)(x+b) = _________________ .

From the word 'CHOCOLATE', a letter is selected at random. The probability that the chosen letter is a vowel is ___.

The product of -140 and 8 is:

Construct $\Delta ABC$ with AB = 6 cm, BC = 8 cm and AC = 10 cm. What's the measure of $\angle ABC$ ?

If $50$ is subtracted from me, the result is $4$. I am greater than

Bittu tells Kitty " I have 5 chocolates more than 7 times the number of chocolates you have”, if Kitty has 5 chocolates, how many chocolates does Bittu have?