Explore topic-wise InterviewSolutions in Current Affairs.

Which of the following solids are pyramids?

5 - 2 - 8 = ____

You picked a card at random from a deck of 52, noted the suit of the card, and then replaced the card. You repeated this experiment 99 more times. Your observations are as shown below.

$$\begin{array}{cc}Suit& Frequency\\ Spades& 23\\ Diamond& 26\\ Club& 21\\ Heart& 30\end{array}$$

Find the probability of drawing
(i) Spades
ii) Diamonds
(iii) Clubs
(iv) Hearts.
Show that the sum of these probabilities is 1. [4 MARKS]

Question 105

If $5^{3x-1}÷25=125$, then find the value of x .

________ is the only even prime number

Perimeter of a rectangle is 44 cm. If its length is 9 cm, then its breadth is

Find the area of a right triangle whose base is 1.2 metre and the hypotenuse is 3.7 metre.

An isosceles triangle is one in which ___ sides are equal. [Write a number]

Question 9 (iv)

The adjoining figure represents a rectangular lawn with a circular flower bed in the middle. Find:

The circumference of the flower bed.

Find the amount to be paid at the end of 3 years of the sum of ₹ 1,200 at the rate of $12\%$ p.a.
[4 MARKS]

Question 4(a) :

Fill in the boxes:

$\square -\frac{5}{8}=\frac{1}{4}$

Which rule is used to prove {10 × (5 + 2)} = {(10 × 5) + (10 × 2)} ? Using the same rule find the value of 99$\times$101. [4 MARKS]

If the 1st (Hundred's place), 2nd(Ten's place) and 3rd(Unit's place) digits of a 3-digit number are taken as x , y and z respectively,

how do we write the general form of the number when it is reversed?

Question 87

State whether the statement is True or False.

The congruent figures superimpose each other completely.

Question 27

Fill in the blanks to make the statement true.

$\frac{-5}{3}\times \left(\frac{-3}{5}\right)$ = ___

Statement 1: Two rays originating from two different points will trace a line if they head towards each other.

Statement 2: Two rays originating from a single point will trace a line if they travel in opposite directions.

Question 6 (iv)
In the given figures below, decide whether l is parallel to m.

Steve multiplies 987 a certain number and obtained 559981 as his answer. He finds that in the answer both 8 and 9 are wrong and the other digits are correct. Which one of the following options is correct ?

(A) 555681

(B) 555181

(C) 551281

(D) 553681

(E) none of these

Question 42

Fill in the blanks to make the statement true.

If the sum of measures of two angles is ${90}^{\circ }$, then the angles are ___.

If 6, 8 and c form a Pythagorean triplet with 6 being the smallest number then find the value of c.

The numerical coefficient of the term $-7abc$ is

Match each of the entries in Column I with the appropriate entries in Column II.
$\begin{array}{ccc}& & \\ \text{Column I}& & \text{Column II}\\ \text{Interest when principal = Rs.800}& \text{K.}& 20\%\\ \text{rate of Interest = 10}\%\text{per annum and period = 2yr}& & \end{array}$

Find the square root of the following

$\sqrt{\left(2025\right)}$

$\sqrt{\sqrt{1296}}$ =

Can we say that there exists only one triangle with a particular set of sides? What are such triangles known as? [2 MARKS]

Rhombus has a perimeter of 49 cm. Find the length of its side.

$(x^2-4y^2)÷(x+2y)=?$

The steps of construction of an isosceles triangle PQR with angle PQR as 110^o are as follows:

(i) Draw the base QR.

(ii) Join P to R to obtain the required triangle PQR.

(iii) At point Q, draw a ray QX making an angle 110° with QR.

(iv) Taking Q as centre, draw an arc of radius equal to PQ. It intersects QX at the point P.

The correct order of steps is

1. undefined
2. undefined
3. undefined
4. undefined

Sum of two sides of a triangle is always ___ than the third side.

Question 126

Find the value of x in the given figure.

Question 54

State whether the statement is True or False.

If 4x - 7 = 11, then x = 4.

Question 149 (ii)

State whether the given pair of triangles is congruent. If yes, write them in symbolic form (you may draw a rough figure).

$\Delta ABC:AB=4.8cm$ $\angle A={90}^{\circ }$, $AC=6.8cm$
$\Delta XYZ:YZ=6.8cm$, $\angle X={90}^{\circ }$, $ZX=4.8cm$

Express the following in standard from.

1)5,00,00,000

2)39087.8

3)the distance between the earth and the moon is 384,000,000 m

Question 32

How many altitudes does a triangle have?

a) 1
b) 3
c) 6
d) 9

1.How to find rational number between $3$ and $5$

2. How to find square root of any number

3. What is square root ?

There is a black bag which contains 100 identical balls. 99 of those balls are red in color and remaining 1 is white. Now, if you take a ball out from the bag, what can be said about its color?

Question 81

In the given figure, find the area of parallelogram ABCD, if the area of the shaded triangle is $9c{m}^2$

Question 25

For a non - zero integer a, which of the following is not defined?

(a) $a÷0$
(b) $0÷a$
(c) $a÷1$
(d) $1÷a$

Question 21

Fill in the blanks to make the statement true.
In a test, Abha gets twice the marks as that of Palak. Two times Abha's marks and three times Palak's marks make 280.

(a) If Palak gets x marks, Abha gets ............ marks.
(b) The equation formed is ...........
(c) The solution of the equation is ..........
(d) Marks obtained by Abha are ...........

In the given diagram, $\angle$XOB and $\angle$YO^'P are called ________.

Solve following inequation: -3 ≤ 3 - 2x < 9, x ∈ R and represent it on the number line.

A carriage wheel makes 1500 revolutions in going over a distance of 4.5 km. Find its radius.