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Question 4

The solution of which of the following equations is neither a positive fraction nor an integer?

(a) 2x + 6 = 0

(b) 3x - 5 = 0

(c) 5x - 8 = x + 4

(d) 4x + 7 = x + 2

In A class test of 20 questions, 4 marks are given for every correct answers and (-2) marks are given for every incorrect answers Amit attempts all questions and 12 of his answers are correct? what is his total score? With full example

Which of the following is the net of an open cube?

A set of $4$ numbers was given as,





But while calculating the mean of this data, some of the students misread $1$ as $7$ and $6$ as $8$ and computed the mean.

What would be the actual mean if correct numbers were used to obtain the mean?

Question 58

A scooter travels 120 km in 3 hours and a train 120 km in 2 hours.

Find the ratio of their speeds.

[Hint: Speed = $\frac{\text{Distance travelled}}{\text{Time taken}}$

In the given diagram, $\angle XOB$ and $\angle Y{O}^{\prime }P$ are called

If the original size of a picture is $540\times 680$, then which of the following picture sizes is not in proportion with the original size?

Consider the figure of an opened die given below:

The value of A + B + C is ___.

The perimeter of a semi-circle is ____.

A die is thrown 1000 times with the frequencies for the outcomes 1, 2, 3, 4, 5 and 6 as given in the following table:

$\begin{array}{ccccccc}\text{Outcome}& 1& 2& 3& 4& 5& 6\\ \text{Frequency}& 165& 175& 180& 150& 145& 185\end{array}$

What is the probability of getting a 2 or 4?

Which of the following is the greatest.

Solve the following.

Out of 700 students in a school, 6% were absent on a particular day. How many were absent?

Find three consecutive numbers such that the sum of the second and the third number exceeds the first by $14$.

1. 3888

Solve the following.

The cost of 30m of cloth is Rs. 450. Find the cost of 10m of cloth.

If $a$ is an integer other than zero, $p$ and $q$ are integers, then the value of $(a^p{)}^q$ is for $a=2$, $p=3$ and $q=4$?

David takes a loan of Rs 2000 for one year at 12% per year as rate of interest. He has to pay Rs _____ at the end of one year.

If ${}^{\prime }{a}^{\prime }$ chocolates are distributed amongst ${}^{\prime }{b}^{\prime }$ students equally, then what is the share of chocolates obtained by each student?

Which of the following objects is not a round object?

The selling price of 10 pencils is equal to the cost price of 11 pencils. What is the profit percentage

Find the measure of an angle which is ${30}^{\circ }$ more than one half of its complement.

Define the following terms: [3 MARKS]

a. Vertices

b. Edges

c. Faces

A farmland shown in the figure below has a length of 15 m and breadth of 10 m. Pea is cultivated in the small area ABCD and in the remaining portion, paddy is cultivated. ABCD is a square with length 4 m. Find the area of the land where paddy is cultivated.

In a right angled triangle , the measure of the hypotenuse is 41 cm and measure of one of the side is 9 cm, find the measure of the third side

A wire is in the shape of a rectangle. Its length is $40cm$ and breadth is $22cm$. If the same wire is rebent in the shape of a square, what will be the measure of each side. Also find which shape encloses more area?