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4201.

Vertically opposite angles are always:

Answer»

Vertically opposite angles are always:



4202.

Find the value of the following form of power. 432 = 24 x _______ .

Answer»

Find the value of the following form of power.

432 = 24 x _______ .


4203.

1 micron equals to _________.

Answer»

1 micron equals to _________.


4204.

Which of the rational fractions given in the options lie between 37 and 48 ?

Answer»

Which of the rational fractions given in the options lie between 37 and 48 ?


4205.

In wavy curve method , does the powers of the expression arebalways a positive integer?

Answer» In wavy curve method , does the powers of the expression arebalways a positive integer?
4206.

A factory site has 6 shifts of 4 hour each but the people demand the time of shift to be decreased to 3 hours and 30 minutes and a 30 min snack break in all the shifts. How many shifts have to be carried out to accommodate everything?

Answer»

A factory site has 6 shifts of 4 hour each but the people demand the time of shift to be decreased to 3 hours and 30 minutes and a 30 min snack break in all the shifts. How many shifts have to be carried out to accommodate everything?



4207.

Question 42In the question given below, fill in the blank to make the statement true:The product of two polynomials is a ___

Answer» Question 42



In the question given below, fill in the blank to make the statement true:




The product of two polynomials is a ___
4208.

Which of the following is not the outcome when you throw a die ?

Answer»

Which of the following is not the outcome when you throw a die ?


4209.

In a surprise test, Sharan scored 21.50 marks and Kamal scored 9 marks. What is the number obtained when we divide Sharan's marks by kamal's marks.

Answer» In a surprise test, Sharan scored 21.50 marks and Kamal scored 9 marks. What is the number obtained when we divide Sharan's marks by kamal's marks.
4210.

Sam buys six and three hundred eight thousandths units of a fabric to make a quilt.Select the correct number of units.

Answer»

Sam buys six and three hundred eight thousandths units of a fabric to make a quilt.

Select the correct number of units.

4211.

Question 1 (c)Find the ratio of the following:50 paise to Rs 5

Answer»

Question 1 (c)

Find the ratio of the following:

50 paise to Rs 5



4212.

Divide m2+7m−60 by (m−5).

Answer»

Divide m2+7m60 by (m5).


4213.

In the given figure, ∠ABC=65∘,∠BCE=30∘,∠DCE=35∘ and ∠CEF=145∘. Prove that AB∥EF. [4 MARKS]

Answer»

In the given figure, ABC=65,BCE=30,DCE=35 and CEF=145. Prove that ABEF. [4 MARKS]





4214.

how to take square root of 89.5×10^{9 }with metho

Answer» how to take square root of 89.5×10^{9 }with metho
4215.

divide 2060 between three people x,y and z such that x gets three-fifth of what y gets and the ratio of the share of y to z is 6:7

Answer»

divide 2060 between three people x,y and z such that x gets three-fifth of what y gets and the ratio of the share of y to z is 6:7

4216.

Tom walks 440 yards from his house to the nearest bus stop, boards a bus, travels 10 miles on it and then cycles 2640 feet to his office. The total distance(in miles) travelled by Tom is

Answer» Tom walks 440 yards from his house to the nearest bus stop, boards a bus, travels 10 miles on it and then cycles 2640 feet to his office. The total distance(in miles) travelled by Tom is
4217.

A rectangular hall is 12 m long and 6 m broad. Its flooring is to be made of square tiles of side 30 cm. How many tiles will fit in the entire hall ? How many would be required if tiles of side 15 cm were used?

Answer» A rectangular hall is 12 m long and 6 m broad. Its flooring is to be made of square tiles of side 30 cm. How many tiles will fit in the entire hall ? How many would be required if tiles of side 15 cm were used?
4218.

In a competitive exam Sumit got 187 marks out of 250 by answering 43 questions . The question paper had 50 questions. Find how many questions had he answered correctly assuming correct answer fetches 5 marks and each wrong answer results in a penalty of 2marks

Answer»

In a competitive exam Sumit got 187 marks out of 250 by answering 43 questions . The question paper had 50 questions. Find how many questions had he answered correctly assuming correct answer fetches 5 marks and each wrong answer results in a penalty of 2marks

4219.

Find the resul†an t of two vectors A=2\overset{∧ }i + 3\overset∧ j+ 5\overset∧ k and B= 3\overset{∧ }i + 2\overset∧ j+ 4\overset∧ k

Answer» Find the resul†an t of two vectors A=2\overset{∧ }i + 3\overset∧ j+ 5\overset∧ k and B= 3\overset{∧ }i + 2\overset∧ j+ 4\overset∧ k
4220.

Question 2 (iv)Write a Pythagorean Triplet whose one member is:18

Answer»

Question 2 (iv)

Write a Pythagorean Triplet whose one member is:



18



4221.

image of 2,3 wrt to-1,3 is

Answer» image of 2,3 wrt to-1,3 is
4222.

Olivia went to a shop to buy candies for her birthday celebration. The shopkeeper sells candies which follows a certain relationship with the price as follows: No. of Candies Price ($) 2 8 18 1 2 3 Determine the number of candies Olivia will purchase with $5.50

Answer» Olivia went to a shop to buy candies for her birthday celebration. The shopkeeper sells candies which follows a certain relationship with the price as follows:

No. of Candies

Price ($)











2 8 18
1 2 3

Determine the number of candies Olivia will purchase with $5.
  1. 50
4223.

Question 8Can a polyhedron have 10 faces, 20 edges and 15 vertices?

Answer» Question 8

Can a polyhedron have 10 faces, 20 edges and 15 vertices?
4224.

Arrange the following data as an array (in ascending order) : (i) 7,5,15,12,10,11,16 (ii) 6.3,5.9,9.8,12.3,5.6,4.7

Answer»

Arrange the following data as an array (in ascending order) :
(i) 7,5,15,12,10,11,16
(ii) 6.3,5.9,9.8,12.3,5.6,4.7

4225.

Which of the following expressions has a constant?

Answer»

Which of the following expressions has a constant?

4226.

4.A car moves towards north at a speed of 54km/h for 1h. Then it moves eastward with same speed for same duration. The average speed and velocity of car for complete journey is

Answer» 4.A car moves towards north at a speed of 54km/h for 1h. Then it moves eastward with same speed for same duration. The average speed and velocity of car for complete journey is
4227.

Diagonals of a rectangle PQRS are intersecting in point M. If ∠QMR = 50° find the measure of ∠MPS.

Answer»
Diagonals of a rectangle PQRS are intersecting in point M. If QMR = 50° find the measure of MPS.
4228.

Question 5(iv) Tell whether the statement is true or false : A data always has a mode.

Answer» Question 5(iv)
Tell whether the statement is true or false :
A data always has a mode.
4229.

Two-dimensional objects have __ as they occupy some surface when placed on the ground.

Answer»

Two-dimensional objects have __ as they occupy some surface when placed on the ground.

4230.

The length of a rectangle is two more than its breadth. If the it's perimeter is 20 cm, then its breadth is_cm4

Answer» The length of a rectangle is two more than its breadth. If the it's perimeter is 20 cm, then its breadth is_cm
  1. 4
4231.

Evaluate 10−1×103×10−5×103

Answer»

Evaluate 101×103×105×103


4232.

A rectangular plot is given for constructing a house, having a measurement of 40 m long and 15 m in the front. According to the laws, a minimum of 3-m-wide space should be left in the front and back each and 2 m wide space on each of the other sides. Find the largest area where house can be constructed.

Answer» A rectangular plot is given for constructing a house, having a measurement of 40 m long and 15 m in the front. According to the laws, a minimum of 3-m-wide space should be left in the front and back each and 2 m wide space on each of the other sides. Find the largest area where house can be constructed.
4233.

Question 43 2500 is greater than 500 by ___ %

Answer»

Question 43

2500 is greater than 500 by ___ %

4234.

Does division follow the associative law? Explain it with help of examples. [3 MARKS]

Answer»

Does division follow the associative law? Explain it with help of examples. [3 MARKS]

4235.

Let z=5xi+(x2−5x+6)i2i, i2=−1 is purely real number, then which of the following option(s) is/are correct?

Answer»

Let z=5xi+(x25x+6)i2i, i2=1 is purely real number, then which of the following option(s) is/are correct?

4236.

In Fig. 112, if AB || CD, then x =(a) 32(b) 42(c) 52(d) 31

Answer» In Fig. 112, if AB || CD, then x =

(a) 32

(b) 42

(c) 52

(d) 31

4237.

What is the probability of rolling a fair die and getting a 7?

Answer»

What is the probability of rolling a fair die and getting a 7?

4238.

Identify if the following equations are true or not:i)(2a+3b)(a−b)=2a2−3b2ii)(x+5)2=x2+25

Answer»

Identify if the following equations are true or not:



i)(2a+3b)(ab)=2a23b2



ii)(x+5)2=x2+25



4239.

If the value of C0+2C1+3C2+⋯⋯⋯+(n+1)Cn=576 , ( with usual notation) then n is

Answer»

If the value of C0+2C1+3C2++(n+1)Cn=576 , ( with usual notation) then n is


4240.

Question 3 AM is a median of a triangle ABC. Is AB + BC + CA > 2AM? (Consider the sides of triangles ABM and AMC.)

Answer»

Question 3
AM is a median of a triangle ABC. Is AB + BC + CA > 2AM? (Consider the sides of triangles
ABM and AMC.)

4241.

Which of the following is a binomial?

Answer»

Which of the following is a binomial?


4242.

In the given figure,QP||RS. Find the values of a and b.

Answer» In the given figure,QP||RS. Find the values of a and b.


4243.

In the adjoining figure, ABCD is a trapezium in which CD ∥ AB and its diagonals intersect at O. If AO = (2x + 1) cm, OC = (5x – 7) cm, DO = (7x − 5) cm and OB = (7x + 1) cm, find the value of x.

Answer» In the adjoining figure, ABCD is a trapezium in which CD ∥ AB and its diagonals intersect at O. If AO = (2x + 1) cm, OC = (5x – 7) cm, DO = (7x − 5) cm and OB = (7x + 1) cm, find the value of x.

4244.

1+6÷3−(4+5)×7= ____.

Answer» 1+6÷3(4+5)×7= ____.
4245.

12. Find the volume of the largest right circular cone that can be cut out of a cube whose edgeis 9 cm.

Answer» 12. Find the volume of the largest right circular cone that can be cut out of a cube whose edgeis 9 cm.
4246.

Question 148 (iv) In the given figure, verify whether given pair of triangles is congruent by SAS congruence criterion (condition)? If congruent, write the congruence of the two triangles in symbolic form.

Answer»

Question 148 (iv)

In the given figure, verify whether given pair of triangles is congruent by SAS congruence criterion (condition)? If congruent, write the congruence of the two triangles in symbolic form.

4247.

Convert the following fractions into decimals.

Answer»

Convert the following fractions into decimals.



4248.

Question 1(h) Give first the step you will use to separate the variable and then solve the equation: Y + 4 = -4

Answer»

Question 1(h)
Give first the step you will use to separate the variable and then solve the equation:

Y + 4 = -4

4249.

Question 3 (iii)Construct the angles of the following measurements:(iii) 15∘

Answer»

Question 3 (iii)

Construct the angles of the following measurements:

(iii) 15



4250.

Prove that product of every three consecutive integer is always divisible by 3 as well as 2

Answer» Prove that product of every three consecutive integer is always divisible by 3 as well as 2