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If line l is parallel to line m and line t is a transversal, find corresponding angles.

In a match of 50 overs, the team batting second was given a target of 310.They lost the match by 10 runs. The team batting second, i.e. the team which lost, scored one-half of their runs in 30 overs and in next five overs they scored one-half of the remaining runs. Later in the next 8 overs, they scored $\frac{1}{5}$^th of the remaining runs. In last seven overs, they scored the remaining runs. How many runs did they score in the last seven overs?
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I bought a pen for ₹5.50 and a notebook for ₹20.75 and paid the shopkeeper ₹30. What was the amount returned by the shopkeeper ?

Question 10

In $\Delta ABC$,

a) AB + BC > AC
b) AB + BC < AC
c) AB + AC < BC
d) AC + BC < AB

Question 66 (a)

Find the value of the given polynomial at a = -2 and b = 3.

$a^2+2ab+b^2$

The table below gives the flavours of ice-cream liked by children (boy and girls) of a society.

Study the table and answer the following questions:
How many children liked the chocolate flavour of ice-cream?

Which one of the following is equivalent to $(2^x{)}^2$?

The supplement of an angle is 8 times as large as the angle.

Find the measure of the supplement.

What does the figure shown below depicts?

The line segment joining the mid - points of any two sides of a triangle is parallel to the third side and equal to half of it.
In the given figure, the side AC of $\Delta ABC$ is produced of E such that $CE=\frac{1}{2}AC$. If D is the mid - points of BC and ED produced meets AB at F and CP, DQ are drawn parallel to BA, then FD =

___ triangle is a figure that has a line of symmetry but does not have rotational symmetry.

The simple interest on a sum of money for 5years at 6%p.a. is rupees 120 more than the simple interest on the same sum at 5%p.a. for 4 years. Find the sum invested.

What is the difference in the number of mangoes sold on Sunday and number of custard apples sold on Wednesday?

Question 43

In questions 24 to 59, fill in the blanks to make the statements true.
Aahuti purchased a house for Rs. 5059700 and spent Rs. 40300 on its repairing. To make a profit of 5 %, she should sell the house for Rs. ___ .

Consider the following matrix:

Select a suitable figure from the four alternatives that would complete the figure matrix:

The magnitude of an angle which is $\frac{2}{3}$ of its supplement.

A man travelled $\frac{2}{5}$th of his journey by train, $\frac{1}{3}$th by taxi, $\frac{1}{6}$th by bus and remaining $10km$ on foot. Find the length of his total journey.

The radius of a circular park is 28m.There is a road of uniform width around the park, which is 7m wide.What is the area of the road?

Present age of a grandfather is 72 years while his grandson's age is 12 years. Then the ratio of their ages after 8 years would be

What are terms of algebraic expressions?

Find the probability of selecting a vowel from word 'MATHEMATICS'

Get the algebraic expression in the following case using variables, constants and arithmetic operations:

Sum of numbers $a$ and $b$ subtracted from their product.

What force can change the velocity of a body of mass 1kg from 20 m/s to 30m/s in 2 seconds?

'Add five times a number with thrice the same number' is algebraically written as

While drawing a three dimensional view of an object, in an oblique sketch we use an angle of ?

Question 74

Two times a number increased by 5 equals 9. Find the number.

Question 50

State whether the given statement is True or False.

Every negative integer is not a negative rational number.

$(\frac{31}{-4}+\frac{-5}{8})=?$

(a) $\frac{67}{8}$

(b) $\frac{57}{8}$

(c) $\frac{-57}{8}$

(d) $\frac{-67}{8}$

Question 143(ii)

Use the propeties of exponents to verify that each statement is true.
$4^{n-1}=\frac{1}{4}(4{)}^n$

The LCM of two numbers is 4800 and their HCF is 160. If one of the numbers is 480, then the second number is

What is the nature of the ratio of 13:6?

Which of the following fractions gives recurring decimals?

Ragini went to watch a 4D animated short movie in a mall. There were 7 different animated movies playing on the screen. She paid Rs. 150 for one show of a movie. In Rs. 800 how many different animated movies she can see (assume she spent money only on movie tickets)?

$\frac{5}{7}$ + ______ = 1

Which of the following equation satisfies Pythagorean theorem, if a and b are two sides and c is the hypotenuse?

The figure given above contains the following 2-Dimensional shapes.

Calculate the volume of a book which is 25 cm in length, 12 cm in breadth and 2 cm in height in metre cube