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If the universal set U = {x: x integer; -6< x <7} and

M = {y: y even number; 1< y <5}, complement of M=

Question 4 (ii)

Name the quadrilateral whose diagonals:

(ii) Are perpendicular bisectors of each other.

If 50% is converted to a fraction, then what will be the fraction?

Which of the following is a linear equation in one variable?

Find the compound interest on ₹ 20,000 for 3 years at 10% per annum compounded annually.

An isosceles triangle ABC has AC = BC. CD bisects AB at D and $\angle CAB={55}^{\circ }$. Then $\angle DCB$ equals

If
31z5
is a multiple of 3, where z
is a digit, what might be the values of z?

The value of $\frac{3}{5}+\frac{-7}{6}+\frac{2}{5}+\frac{-5}{6}$ is _____.

Find the product by suitable arrangement:

$125\times 40\times 8\times 25$

Decode the pattern and obtain the next number in the pattern:

$32,-16,8,-4,2,-1$

Question 83 (vi)

Multiply the following :

abc, (bc + ca)

Mr. Kumar borrowed Rs. 15,000 for 2 years. The rate of interest being 8% & 10% for respective years. If he repays Rs. 6,200 at the end of 1^st year, find the Amount outstanding at the end of the 2^nd year.

Given a circle of radius $r=7units$, the area of the circle is . $(\text{take}\pi =\frac{22}{7})$

A bus shuttles between two neigbouring towns every two hours. It starts from 8 AM in the morning and the last trip is at 6 PM. On one day the driver observed that the first trip had 30 passengers and each subsequent trip had one passenger less than the previous trip. How many passengers travelled on that day?

The simplest form of the rational number $-\frac{6}{4}$ is .

Question 53

Find the value of the letters in the following question:

$CBA+CBA\_\_\_\_\_\_\_\_1A30$

Which among the following are the squares of even numbers?

The area of a trapezium shaped field is 600 m², the distance between two parallel sides is 15 m and one of the parallel side is 20 m. Find the length of the other parallel side.

Which of the following is equal to $\frac{8^3}{4^2}?$

Which of the following is not a prism?

How many cubes of edge 1/3cm are required to build a cube of side 4cm

I
purchased a hair-dryer for Rs 5,400 including 8% VAT. Find the price
before VAT was added.

(a) There are two sets of parallel lines passing through a plane. A transverse line is intersecting the two set of lines. Find out the number of distinct intersecting point made by transverse line? [3 MARKS]

(b) The following diagram shows parallel lines cut by a transversal. Find x.

If x + y = 12 and xy = 32, find x² + y².

Construction of a unique quadrilateral is possible if we have a minimum measurement of 3 sides and ___ included angles. Fill in the blank.

1. 100

If a line has a slope $\frac{2}{3}$, find the slope of all the lines that are parallel to it.

The amount of bacteria present around the fossil is almost 3.2 $\times$ 10${}^2$ micrograms. Find the amount of bacteria present in 8 such fossils.

A bag has 6 red balls and 8 green balls. A ball is drawn from a bag without looking into the bag. What is the probability of getting a green ball?

Find the value of $(105{)}^2$ by visualizing the identity $(a+b{)}^2=a^2+2ab+b^2$.

Given the area $a$ of a circle is $154uni{t}^2$, what is its radius $r$?

The square of $30\frac{1}{6}$ is

After introduction of biodegradable bags, the plastic bag consumption is reduced by half of the total quantity.



The consumption before introduction is given as:





Calculate the present plastic bag consumption.