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The quotient of two numbers is 2.if the denominator is 37/5,find the numerator

Question 130

If one angle of a triangle is ${60}^{\circ }$ and the other two angles are in the ratio 1 : 2, find the angles.

Which of the following statements is not true when a pair of parallel lines is intersected by a transversal?

Question 85

State whether the statement is True or False.

If two angles of a triangle are equal, the third angle is also equal to each of the other two angles.

In the figure given below, CT = TR and AT = A'T. Is $CA\parallel A^{{}^{\prime }}R$ ? If yes, give a proof for the same. [3 MARKS]

In a quiz program,the correct answer gets you $2$ marks. For each wrong answer, one mark is deducted from the total score. There are $50$ questions to be answered. If Preeti scored $76$ marks for the quiz, how many of her questions were right?

Question 90 (c)

Given that,$\frac{p}{q}$ and $\frac{r}{s}$ are two rational numbers with different denominators and both of them are in standard form. To compare these rational numbers, we say that
$\frac{☐}{☐}<\frac{☐}{☐}$, if $p\times s>r\times q$

Question 2(g) :

Solve:

$1-\frac{2}{3}$

We can write , $(1=\frac{3}{3})$

Question 86(ii)
The marks out of 100 obtained by Kunal and Soni in the half-yearly examination are given below:

Calculate the total percentage of marks obtained by Soni.

Complete the table of products

$\begin{array}{cccc}FirstMonomial\to SecondMonomial& a^2{b}^2& c{d}^2& -5p^2\\ -ab& & & \\ -cd& & -c^2{d}^3& \\ abcd& & & \end{array}$
[4 MARKS]

I draw a quadrilateral and then draw all its diagonals. How many triangles can I find?

Question 89(ii)
The table below compares the population (in Hundreds) of 4 towns over two years:

Study the table and answer the following question:
In which town was the population growth maximum?

$$\begin{array}{cccccc}\text{Quantity (In Kg)/Price}& 1& 2& 3& 4& 5\\ \text{Gummy bear}& 20& 40& 60& 80& 100\\ \text{Candies}& 30& 60& 90& 120& 150\\ \text{Chocolates}& 50& 100& 150& 200& 250\end{array}$$

According to the information given what is the total price of 6 kg of all the items?

Superman can fly at speeds almost equal to $2.6\times {10}^7$ m/s.A supersonic jet on the planet Krypton can fly at a maximum speed of 130000 m/s. Choose the correct option(s):

If you subtract $\frac{5}{7}$ from $\frac{13}{7}$, you will get -

A letter is chosen from the word 'GEOMETRY'. What is the probability that the letter chosen is a vowel?

Question 2

By observing the number line, state which of the following statements is not true?

(a) B is greater than -10
(b) A is greater than 0
(c) B is greater than A
(d) B is smaller than 0

Question 5(iv)
Express each of the following as the product of powers of their prime factors:
(iv) 3,600

Question 2 (a)

Using divisibility test, determine whether the given number is divisible by 4; by 8:
572

Question 95 (iii)

Write About It:

Shashi used addition to solve a word problem about the weekly cost of commuting by toll tax for Rs 15 each day. Ravi solved the same problem by multiplying. They both got the correct answer. How is this possible?

$500$ soldiers in a fort had enough food for $30$ days. After $6$ days some soldiers were sent to another fort and thus food lasted $32$ more days. How many soldiers were left the fort?

Construct a right-angled triangle ABC such that side $\overline{BC}=48cm$ and hypotenuse $\overline{AC}=50cm$.

The cost of $3\frac{1}{2}$ metres of cloth is Rs $57\frac{3}{4}$. What is the cost of one metre of cloth ?

i) An arc of suitable measure is taken from B cutting ‘l’ at D and transversal at M (as shown in the figure).

ii) Now, with the same radius and A as the centre an arc FG is drawn (as shown in the figure).

What is the relation between the length of arc DM and arc FG?
[4 MARKS]

1. 48

An isosceles triangle has perimeter 36 cm. If each of the equal sides is 10 cm, then the area of the triangle is _____ cm sq.

An alloy contains copper and zinc in the ratio 7:3 . If it contains 12.6 g of copper , how much does this alloy weigh ?

Which of the following can't be the units digit in a perfect square number?

If Sah has 12 apples, and Jim has twice the number of apples Sah has, then how many apples do they have together?

Question 76
State whether the statement is True or False.
A rectangular pyramid has 5 rectangular faces.

Which of the following object gives a top view as in the given figure?

The age of Madhu is thrice the age of her daughter. Ten years ago the ratio of daughter's age to that of Madhu was 1:7. Find their present ages.

Is {10 × (5 + 2)} = {(10 × 5) + (10 × 2)} ? Which rule is this? [4 MARKS]

Convert the fractions to decimal form and arrange them in ascending order. (Lower number comes at top)

In the figure given below, if $AB\parallel PQ$. Then, $\angle ACX$ ___ $\angle PRC$.

The area of a certain number of triangles is equal to the sum of the exponents of the prime factors of the number 1628, and each prime factor represents a triangle. Find the sum of areas of the triangles and find the number of the triangles. [4 MARKS]

The total cost of sugar purchased by Mia is ₹72.80. If the cost of 1 kg of sugar is ₹4, how many kgs of sugar did Mia purchase?

Sonali invests $15\%$ of her monthly salary in insurance policies. She spends $55\%$ of her monthly salary on shopping and household expenses. She saves the remaining amount of ₹ 12,750. What is Sonali’s monthly income?

According to the linear pair axiom, if ray AB stands on a line PQ, then, what is the sum of the adjacent angles(in degrees)?

Finally Jack reached Cottage city. He went to a restaurant and had a nice meal but couldn’t pay because he had future currency with him. He told politely to the owner- “I am a great mathematician, I am sure I can be of some help to you.” Then, the owner took him to the kitchen and showed 5 containers of different capacity.

$\begin{array}{cc}\text{Container 1}& \text{3 kg}\\ \text{Container 2}& \text{4 kg}\\ \text{Container 3}& \text{5 kg}\\ \text{Container 4}& \text{6 kg}\\ \text{Container 5}& \text{7 kg}\end{array}$

Then he gave Jack a question which was actually a problem he was facing.

“Every container is full of rice. If you take rice out from say Container 1 and 4 alternatively, such that it takes equal number of steps to empty both of them, which of the following measuring cups would you use?”

A sum was invested at SI at a certain rate for 4 years. Had it been invested at $2\%$ higher rate, it would have fetched Rs. 56 more? Find the sum.

Two boys approach a point 'P' from two different directions. The angle formed between their paths at the point 'P' is angle of approach. They reach the point at the same time and continue to move in their original direction. Now they are moving away from the point and the angle between their paths at the point is angle of departure. Choose the correct statement

Which of the following statements is correct?