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Write five
pairs of integers (a, b) such a ÷
b = − 3. One such pair is (6, − 2) because 6 ÷
(− 2) = (− 3).

Question 4

Write the correct answer from the given four options.

Which of the following will have 4 at the unit's place?

a) ${14}^2$

b) ${62}^2$

c) ${27}^2$

d) ${35}^2$

In a school, there were six holidays in the month of April. Find the ratio of number of holidays to the total number of days in the month of April.

Question 25

If one angle of a triangle is equal to the sum of the other two angles, the triangle is

a) Obtuse
b) Acute
c) Right
d) Equilateral

Represent $\frac{999}{13}$ in the form of $a\frac{b}{13}$.The value of a is ___ and b is ___.

Which of the following are common factors between numbers $\sqrt{625-\frac{10000}{25}}$ and $\frac{{10}^2}{4}$

Fill in the blank:

Farther a number from 0 on the right hand side on a number line, ___ will be its value.

Which one of the following represents the intersection of lines at $(-5,-6)?$

Solve the following.

The ratio of copper to the zinc in an alloy is 5 : 3. The weight of copper in the alloy is 30g. Find the weight of zinc.

The average monthly salary of $500$ employees (including all) in a factory is $\text{Rs.}400.$ If the average monthly salary of officers is $\text{Rs.}1000$ and the average monthly salary of the skilled workers is $\text{Rs.}200,$ then the number of skilled workers is

If $\frac{4y+1.7}{0.3}=-9$, then $y=$

Question 61

In questions which of the following vary directly and which vary inversely with each other and which are neither of the two?

(i) Number of students in a hostel and consumption of food.

(ii) Area of the walls of a room and the cost of whitewashing the walls.

(iii) The number of people working and the quantity of work.

(iv) Simple interest on a given sum and the rate of interest.

(v) Compound interest on a given sum and the sum invested.

Question 66

State whether the following statement is true or false:

All numbers of a Pythagorean triplet are odd.

Which one will replace the Q mark?

(a) 18 (b) 12

(c) 9 (d) 6

Directions: The two questions (10 and 11) are based on the following information given:

1. 30

Evaluate $\int \frac{dx}{\sqrt{x^4-9x^2}};x>3$

(where $C$ is constant of integration)

An experiment consists of rolling a fair die. Find the theoretical probability of rolling a number greater than $5.$

Add the following rational numbers:

(i) (3/4) and (-3/5)

(ii) -3 and (3/5)

In the given figure, lines l and m intersect each other at a point. Which of the following can be false?

Solution of the equation $\frac{\pm 5(4x-2)}{7}=10$ is/are:

Cities A,B and C are at a distance of 45 km, 50 km and 55 km respectively from Raghu's home. He observed that he can cover 2 km in 10 minutes on his cycle. If he has 4 hours time limit, which city he can reach on cycle if he travels at observed speed?

If A = {1, 3, 7, 8} and B = {2, 4, 6}, then A and B are ______ .

If $\frac{x}{y}$ and $\frac{y}{x}$ are rational numbers, then which of the following options is correct?

What is square root of-2

Question 29

In a pair of adjacent angles, (i) vertex is always common (ii) one arm is always common, and (iii) uncommon arms are always opposite rays. then
(a) all (i), (ii) and (iii) are true
(b) (iii) is false
(c) (i) is false but (ii) and (iii) are true
(d) (ii) is false

1. 10

How to know which property to use in multiplication of integers?commutative/distributive/associative?

Convert
given percents to decimal fractions and also to fractions in simplest
forms:

(a) 25% (b) 150%

(c) 20% (d) 5%

Which of the following is the same as $x-999\le 101$?

A train 165 m long is running at the speed of 60 km/hr. Find the time taken to pass a man who is running at a speed of 6 km/hr in the same direction as that of the train?

Bisect the given angles and measure the bisected angles in the following:

∠ABC = 60°

Match the division statements with their equivalent multiplication statements using their reciprocals.