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The acute angle bisector between the intersecting lines $\frac{x-1}{1}=\frac{y}{-1}=\frac{z-1}{3}$ and $\frac{x-1}{-3}=\frac{y}{-1}=\frac{z-1}{1}$ is

Question 105(i)

In the given figure, PQ, RS and UT are parallel lines.

If $c={57}^{\circ }anda=\frac{c}{3}$, find the value of d.

Choose the correct statement.

Question 95 (ii)

What's the Error?

A student wrote an algebraic expression for "5 less than a number n divided by 3" as $\frac{n}{3}-5$. What error did the student make?

Calculate (+18) ÷ (+6)

Question 7(iii)
In a class test containing 10 questions, 5 marks are awarded for every correct answer and (−2) marks are awarded for every incorrect answer and 0 for questions not attempted.
Henna gets two correct and five incorrect answers out of seven questions she attempts. What is her score?

Find the result of the following division.
$(x^3+2x^2+3x)÷2x$

Question 4 (iii)

Draw the number line and represent the following rational number on it:
$\frac{-7}{4}$

If a fan has 3 blades, then its degree of rotation is _____.

Tina travels 10 km in 2 hr on her bicycle. At what speed should she travel to reduce her travel time by 1 hr?

Simplify:

(1) 7²⁸ *7¹⁵*1/7¹³

(2) (1/3)⁴*(-27/4)²*(-8/3)²

In the given figure, radius of the circle is 7 cm. Find the area of the shaded region in $c{m}^2$.

1. 72

Complete the cross word puzzle.

(1) Left to Right

Example:

(a) 5 in base 2 (3 sq)

(b) 7 in base 2 (3)

(d) 12 in base 2 (4)

(e) 8 in base 2 (4)

(f) 4 in base 2 (3)

(i) 13 in base 2 (4)

(2) Down

(a) 15 in base 2 (4 sq)

(c) 10 in base 2 (4)

(e) 14 in base 2 (4)

(f) 2 in base 2 (2)

(g) 3 in vase 2 (2)

(h) 11 in base 2 (4)

(i) 6 in base 2 (3)

What is the ratio of the angles in $\Delta ABC$?

Find the product $128\times 24$ using distributive property.

Arrange the following countries from West to East direction:

1. Botswana 2. Zimbabwe

3. Malawi

Select the answer using the codes given below

निम्नलिखित देशों को पश्चिम से पूर्व दिशा में व्यवस्थित करें:

1. बोत्सवाना 2. ज़िम्बाब्वे

3. मलावी

नीचे दिए गए कूट का उपयोग करके सही उत्तर का चयन करें:

The first, second and third term of a proportion are
$\frac{1}{3},\frac{1}{6}\text{and}\frac{2}{5}\text{respectively}$.
What is the fourth term?

1. 60

What is the ratio of the area of parallelogram ABCD to the sum of areas of $\Delta ABE$ and $\Delta ABF?$

Define arithmetic mean?

A survey was conducted with 160 people about their favourite film of all time. The following graph shows their findings. Answer the following :

What fraction of children said that God Father is their favourite ?

Question 2(vii)

State True or False.

The cube of a single digit number may be a single digit number.

-5 + 9 + (-5) + (-10) + (1) is equal to

Shambhavi has 9 pieces of cake and she has to distribute these pieces equally among 4 girls. The share of cake each one of them will get is___.

Question 24

Discount = ___ - ___

Question 53



Number of terms in the expression $a^2+bc\times d$ is ___

Which of the following is a cubic monomial?