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7151.

If a and b are two integers, then which of the following may not be an integer?(a) a+b(b) a−b(c) a×b(d) a÷b

Answer»

If a and b are two integers, then which of the following may not be an integer?



(a) a+b

(b) ab

(c) a×b

(d) a÷b



7152.

Is 0 even or odd ? And do we consider it while calculating sum of first n integers?

Answer» Is 0 even or odd ? And do we consider it while calculating sum of first n integers?
7153.

Find m∠Cin the following figure if

Answer»

Find m∠C
in the following figure if



7154.

If x-1x=5, find the value of x3-1x3

Answer» If x-1x=5, find the value of x3-1x3
7155.

Population of a town increases at a certain rate percent per annum. Present population of the town is 3600 and in 5 years it becomes 4800. How much will it be in 10 years?

Answer»

Population of a town increases at a certain rate percent per annum. Present population of the town is 3600 and in 5 years it becomes 4800. How much will it be in 10 years?


7156.

On a particular day, 200 US dollars are worth Rs 9666. On that day, how many dollars could be bought for Rs. 5074. 65?

Answer»

On a particular day, 200 US dollars are worth Rs 9666. On that day, how many dollars could be bought for Rs. 5074. 65?



7157.

If x=2+√3,xy=1, then find x2−x+y2−y.

Answer» If x=2+3,xy=1, then find x2x+y2y.
7158.

Prove that for any positive integer n, n³-n is divisible by 6.

Answer» Prove that for any positive integer n, n³-n is divisible by 6.
7159.

The ratio of curved surface areas of two cylinders is 1 : 3. If the ratio of heights of the two cylinders is 2 : 3, then the ratio of their volumes is

Answer» The ratio of curved surface areas of two cylinders is 1 : 3. If the ratio of heights of the two cylinders is 2 : 3, then the ratio of their volumes is
7160.

Factorise a^4-b^{4 } a^4-2a^2b^2+b^4

Answer» Factorise a^4-b^{4 } a^4-2a^2b^2+b^4
7161.

ntShow that 10,11,12 can'nt be terms of a G.p ?n

Answer» ntShow that 10,11,12 can'nt be terms of a G.p ?n
7162.

The ten's digit of a two digit no. exceeds the units digit by 5. If the digits are reversed, the new number is less by 45. If the sum of their digits is 9, find the nos.

Answer» The ten's digit of a two digit no. exceeds the units digit by 5. If the digits are reversed, the new number is less by 45. If the sum of their digits is 9, find the nos.
7163.

Question 96 Find the capacity of water tank, in litres, whose dimensions are 4.2 m, 3 m and 1.8 m?

Answer»

Question 96

Find the capacity of water tank, in litres, whose dimensions are 4.2 m, 3 m and 1.8 m?

7164.

show that n cube minus n is divisible by 8

Answer» show that n cube minus n is divisible by 8
7165.

In the wavy curve method , what should we do if we have a not factorizable expression in the denominator ? (or if in the numerator )

Answer» In the wavy curve method , what should we do if we have a not factorizable expression in the denominator ? (or if in the numerator )
7166.

The sides of a triangular plot are in the ratio of 3:5:7 and its perimeter is 300m. Its area is

Answer»

The sides of a triangular plot are in the ratio of 3:5:7 and its perimeter is 300m. Its area is


7167.

Question 95 (iv)Look at the map given below and answer the following question. If Ritika stays adjacent to the bank and you have to send her a card. What address will you write?

Answer» Question 95 (iv)



Look at the map given below and answer the following question.







If Ritika stays adjacent to the bank and you have to send her a card. What address will you write?
7168.

The points ( 0 , 8/3 ) , (1 , 3 ) , ( 82 , 30) are vertices of - A) an obtuse angled triangle B) an acute angled triangle C) a right angled triangle D) an isosceles triangle

Answer» The points ( 0 , 8/3 ) , (1 , 3 ) , ( 82 , 30) are vertices of - A) an obtuse angled triangle B) an acute angled triangle C) a right angled triangle D) an isosceles triangle
7169.

Volume occupied by one molecule of water (density=1 g cm-3) is

Answer» Volume occupied by one molecule of water (density=1 g cm-3) is
7170.

Q) a^2+14a+48

Answer» Q) a^2+14a+48
7171.

What is square of -2x

Answer»

What is square of -2x

7172.

अधोलिखितपदेषु प्रकृति − प्रत्ययविभागं कुरूत − पदानि प्रकृति: प्रत्यय: यथा गन्तुम् गम् + तुमुन् (क) ज्ञातुम् --------------------------- + --------------------------- (ख) ग्रहीतुम् --------------------------- + --------------------------- (ग) पातुम् --------------------------- + --------------------------- (घ) श्रोतुम् --------------------------- + --------------------------- (ङ) भ्रमितुम् --------------------------- + ---------------------------

Answer»

अधोलिखितपदेषु
प्रकृति

प्रत्ययविभागं
कुरूत































































पदानि



प्रकृति:





प्रत्यय:



यथा



गन्तुम्



गम्



+



तुमुन्



()



ज्ञातुम्



---------------------------



+



---------------------------



()



ग्रहीतुम्



---------------------------



+



---------------------------



()



पातुम्



---------------------------



+



---------------------------



()



श्रोतुम्



---------------------------



+



---------------------------



()



भ्रमितुम्



---------------------------



+



---------------------------



7173.

An old car was disposed through a broker for Rs 42,000. If the brokerage is , find the amount the owner gets.

Answer»

An old car was disposed through a broker for Rs 42,000. If the brokerage is , find the amount the owner gets.

7174.

Represent 0.2 on the number line.

Answer» Represent 0.2 on the number line.
7175.

I construct a quadrilateral by combining triangles together. A minimum of how many triangles do I need?

Answer»

I construct a quadrilateral by combining triangles together. A minimum of how many triangles do I need?


7176.

Find the solution of the following pair of equations. 3x−5y=−1 and x−y=−1

Answer»

Find the solution of the following pair of equations.
3x5y=1 and xy=1


7177.

10.Take the effect of bulging of the earth and it's rotation in account. Consider the following statements (A) there are points outside the earth where the value of g is equal to it's value at the equator. (B) there are points outside the earth where the value of g is equal to it's value at the poles. 1. Both A and B are correct 2. A is correct but B is wrong 3. B is correct but A is wrong 4. Both A and B are wrong

Answer» 10.Take the effect of bulging of the earth and it's rotation in account. Consider the following statements (A) there are points outside the earth where the value of g is equal to it's value at the equator. (B) there are points outside the earth where the value of g is equal to it's value at the poles. 1. Both A and B are correct 2. A is correct but B is wrong 3. B is correct but A is wrong 4. Both A and B are wrong
7178.

Question 102(ii) Using suitable rearrangement, find the sum. −5+710+37+(−3)+514+(−45)

Answer» Question 102(ii)
Using suitable rearrangement, find the sum.
5+710+37+(3)+514+(45)
7179.

Arrange the numbers in ascending order (Starting from the top)

Answer»

Arrange the numbers in ascending order (Starting from the top)

7180.

Find the missing number:25 + 25 + 25 = ____ x 25

Answer»

Find the missing number:

25 + 25 + 25 = ____ x 25



7181.

If the population growth from 1998 to 2000 was 10 %, what is the ratio of total population in 1998 to the number of people who voted for the party in 2000(approx)?

Answer»

If the population growth from 1998 to 2000 was 10 %, what is the ratio of total population in 1998 to the number of people who voted for the party in 2000(approx)?


7182.

Question 4The product of any two irrational numbers isA) Always an irrational numberB) Always a rational numberC) Always an integerD) Sometimes rational, sometimes irrational

Answer» Question 4

The product of any two irrational numbers is



A) Always an irrational number

B) Always a rational number

C) Always an integer

D) Sometimes rational, sometimes irrational
7183.

Find the cube of each of the following binomials expressions:(i) 1x+y3(ii) 3x-2x2(iii) 2x+3x(iv) 4-13x

Answer» Find the cube of each of the following binomials expressions:



(i) 1x+y3



(ii) 3x-2x2



(iii) 2x+3x



(iv) 4-13x
7184.

A soil cubical box of fine wood costs Rs 256 at the rate Rs 500/m3. Find its volume and length of each side.

Answer»

A soil cubical box of fine wood costs Rs 256 at the rate Rs 500/m3. Find its volume and length of each side.

7185.

Draw a rhombus KLMN such that its side is 4 cm and m∠K = 75°.

Answer» Draw a rhombus KLMN such that its side is 4 cm and m∠K = 75°.
7186.

A warehouse is used as a granary. It is in the shape of a cuboid surmounted by a half cylinder. The base of the warehouse is 6m x 14m and its height is 8m. Find the surface area of the non cuboidal part of the warehouse.

Answer» A warehouse is used as a granary. It is in the shape of a cuboid surmounted by a half cylinder. The base of the warehouse is 6m x 14m and its height is 8m. Find the surface area of the non cuboidal part of the warehouse.
7187.

Solving 100×7+10×5+6 gives ___ .

Answer»

Solving 100×7+10×5+6 gives ___ .

7188.

On what principal will the simple interest be Rs. 7008 in 6 years 3 months at 5% per year?

Answer»

On what principal will the simple interest be Rs. 7008 in 6 years 3 months at 5% per year?


    7189.

    What amount will Rajiv receive, if he invests ₹10,000 at a rate of 10% per annum simple interest on April 18, 2020, if he invests the money on September 12, 2017

    Answer» What amount will Rajiv receive, if he invests ₹10,000 at a rate of 10% per annum simple interest on April 18, 2020, if he invests the money on September 12, 2017
    7190.

    Name the property under multiplication used in each of the following:(i) −45×1=1×−45=−45(ii) −1317×−27=−27×−137(iii) −1929×29−19=1

    Answer»

    Name the property under multiplication used in each of the following:

    (i) 45×1=1×45=45

    (ii) 1317×27=27×137

    (iii) 1929×2919=1

    7191.

    Question 5 (v) Find the least number which must be added to each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained: 6412

    Answer»

    Question 5 (v)
    Find the least number which must be added to each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained:

    6412

    7192.

    The positive square root of 7+48 is(a) 7+23(b) 7+3(c) 2+3(d) 3+2

    Answer» The positive square root of 7+48 is



    (a) 7+23



    (b) 7+3



    (c) 2+3



    (d) 3+2
    7193.

    In the given diagram, ∠O|OB and ∠OO|P are called ________.

    Answer»

    In the given diagram, O|OB and OO|P are called ________.




    7194.

    If AB is perpendicular bisector of CD at P then

    Answer»

    If AB is perpendicular bisector of CD at P then


    7195.

    Factorize each of the following algebraic expressions. (2x - 3y) (a + b) + (3x - 2y) (a + b)

    Answer»

    Factorize each of the following algebraic expressions.

    (2x - 3y) (a + b) + (3x - 2y) (a + b)

    7196.

    Compute x2+1x2, if x+1x=7.

    Answer»

    Compute x2+1x2, if x+1x=7.

    7197.

    If Solve the following problems and draw Venn diagrams for each of them.

    Answer»

    If



    Solve the following problems and draw Venn diagrams for each of them.



    7198.

    A wire when bent in the form of an equilateral triangle encloses an area of 64√3 cm2. Then, find the area enclosed by the same wire when bent to form a square.

    Answer» A wire when bent in the form of an equilateral triangle encloses an area of 643 cm2. Then, find the area enclosed by the same wire when bent to form a square.
    7199.

    a point p lies on the circle x∧2+y∧2=169.if Q=(5,12)&R=(-12,5).then angel betweenQPR

    Answer» a point p lies on the circle x∧2+y∧2=169.if Q=(5,12)&R=(-12,5).then angel betweenQPR
    7200.

    The unit's digit in the cube of 2, 16, 20 is always _____.

    Answer»

    The unit's digit in the cube of 2, 16, 20 is always _____.