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951.

Question 79Find the area of the shaded portion in the following figure.

Answer»

Question 79



Find the area of the shaded portion in the following figure.



952.

out of 20consecutive numbers ,two are chosen at random, the probability that their sum is odd is (1)9/10 , (2)11/20, (3)10/19,(4)10/21

Answer» out of 20consecutive numbers ,two are chosen at random, the probability that their sum is odd is (1)9/10 , (2)11/20, (3)10/19,(4)10/21
953.

An article was purchased for ₹1,239 including GST of 18%. Find the price of the article before GST was added?

Answer» An article was purchased for ₹1,239 including GST of 18%. Find the price of the article before GST was added?


954.

Find37.8 ÷ 1.4

Answer» Find

37.8 ÷ 1.4
955.

Which of the following images is not symmetric (assuming the triangle given to be an isosceles triangle)?

Answer»

Which of the following images is not symmetric (assuming the triangle given to be an isosceles triangle)?

956.

The number of diagonals in an octagon will be

Answer»

The number of diagonals in an octagon will be


957.

How much time will it take for ₹800 to yield a simple interest of ₹80 at 5% per annum?

Answer» How much time will it take for ₹800 to yield a simple interest of ₹80 at 5% per annum?
958.

Sum of all the multiples of 4 from 10 to 30 will be

Answer» Sum of all the multiples of 4 from 10 to 30 will be
959.

Find the ratio of Red coloured parts to Blue coloured parts.Also find the ratio of Red coloured parts to total coloured parts.

Answer» Find the ratio of Red coloured parts to Blue coloured parts.Also find the ratio of Red coloured parts to total coloured parts.


960.

Evaluate : (i) 37+−49+−117+79(ii) 23+−45+13+25(iii) 47+0+−89+−137+179(iv) 38+−512+37+312+−58+−27

Answer»

Evaluate :

(i) 37+49+117+79(ii) 23+45+13+25(iii) 47+0+89+137+179(iv) 38+512+37+312+58+27

961.

If the degree of XY is 2 then the degree of x/y is 1 and why in algebra we say that the degree of XY is 2 and what will be the degree of x/y?

Answer» If the degree of XY is 2 then the degree of x/y is 1 and why in algebra we say that the degree of XY is 2 and what will be the degree of x/y?
962.

Draw a triangle ∆PRS with the measures given below.RS = 5.5 cm, RP = 4.2 cm, ∠R = 90∘

Answer» Draw a triangle ∆PRS with the measures given below.

RS = 5.5 cm, RP = 4.2 cm, ∠R = 90
963.

Types of events

Answer» Types of events
964.

The angle between two altitudes of a ||gm through the vertex of obtuse angle of the ||gm is 60°. The angles of the ||gm are

Answer» The angle between two altitudes of a ||gm through the vertex of obtuse angle of the ||gm is 60°. The angles of the ||gm are
965.

Question 115A financial counselor gave a client this pie chart describing how to budget his income. If the client brings home Rs 50000 each month, how much should he spend in each category ?

Answer»

Question 115



A financial counselor gave a client this pie chart describing how to budget his income. If the client brings home Rs 50000 each month, how much should he spend in each category ?



966.

Find the measure of ∠x in the given figure:​

Answer»

Find the measure of x in the given figure:​


967.

Calculate the distance travelled in each of the following.4 hrs at 56 km/hr.

Answer»

Calculate the distance travelled in each of the following.



4 hrs at 56 km/hr.

968.

Find the sum of first 8 consecutive whole numbers.

Answer» Find the sum of first 8 consecutive whole numbers.
969.

If AC>AB>AB in ∆ABC then angle ABC will be greater than?90°, 45°, 30°, 60°

Answer» If AC>AB>AB in ∆ABC then angle ABC will be greater than?
90°, 45°, 30°, 60°
970.

Classify the following algebraic expressions as monomials, binomials, trinomials or polynomials.(i) 7x (ii) 5y−7z (iii) 3x3−5x2−11 (iv) 1−8a−7a2−7a3(v) 5m−3 (vi) a (vii) 4(viii) 3y2−7y+5

Answer»

Classify the following algebraic expressions as monomials, binomials, trinomials or polynomials.

(i) 7x (ii) 5y7z (iii) 3x35x211 (iv) 18a7a27a3

(v) 5m3 (vi) a (vii) 4

(viii) 3y27y+5

971.

Question 10 In the standard form of a rational number, the denominator is always a (a) 0 (b) negative integer (c) positive integer (d) 1

Answer»

Question 10

In the standard form of a rational number, the denominator is always a

(a) 0

(b) negative integer

(c) positive integer

(d) 1

972.

State Pythagoras theorem and its converse.

Answer» State Pythagoras theorem and its converse.
973.

Add 3.1421 ,0.241 and 0.09 and give your answer with correct precision

Answer»

Add 3.1421 ,0.241 and 0.09 and give your answer with correct precision


974.

A dog is tied to a pole with a rope of length 49 m. If it rotates about the pole in a circular path as away as possible from the pole, then what is the distance covered by the dog after one revolution about the pole?

Answer» A dog is tied to a pole with a rope of length 49 m. If it rotates about the pole in a circular path as away as possible from the pole, then what is the distance covered by the dog after one revolution about the pole?
975.

Among the following options which value of a and b satisfies the equation: 152 + a2 = b2

Answer»

Among the following options which value of a and b satisfies the equation:
152 + a2 = b2


976.

A person travelled 160km out of 800 km by car and the rest by bus. What percentage of the distance did he travel by bus?

Answer»

A person travelled 160km out of 800 km by car and the rest by bus. What percentage of the distance did he travel by bus?



977.

Question 3(iii)Express the number appearing in the following statements in standard form:Size of bacteria is 0.0000005 m.

Answer»

Question 3(iii)

Express the number appearing in the following statements in standard form:


Size of bacteria is 0.0000005 m.



978.

Construct triangles of the measures given below.In ∆EFG, l(EG) = 6 cm, m∠F = 65°, m∠G = 45°

Answer» Construct triangles of the measures given below.

In ∆EFG, l(EG) = 6 cm, m∠F = 65°, m∠G = 45°
979.

x+x×8=27000

Answer» x+x×8=27000
980.

if the pth term of an AP is q and the 9th term is p, prove that its nth term is [p+q-n]

Answer» if the pth term of an AP is q and the 9th term is p, prove that its nth term is [p+q-n]
981.

Pair the addition statements with their correct answers.

Answer»

Pair the addition statements with their correct answers.

982.

The usual form of 1.05×10−6 is:

Answer» The usual form of 1.05×106 is:
983.

Simplification of 182 to its prime factors is .

Answer»

Simplification of 182 to its prime factors is .

984.

Simplify: 214 of 45 ÷ 315 of 916 .

Answer» Simplify: 214 of 45 ÷ 315 of 916 .
985.

The cost of a flower vase got increased by 12%.If the current cost is Rs 896.What was its original cost.

Answer» The cost of a flower vase got increased by 12%.If the current cost is Rs 896.What was its original cost.
986.

The price of an item increases in the ratio 3:4. If the initial price was ₹15, the revised price is ₹ ____.

Answer»

The price of an item increases in the ratio 3:4. If the initial price was ₹15, the revised price is ₹ ____.



987.

34. If n(U)=50,n(A)=20,n((A u B)')=18 then n(B-A)=

Answer» 34. If n(U)=50,n(A)=20,n((A u B)')=18 then n(B-A)=
988.

In the figure given below, AB is the diameter of the circle and CD is the height of △ACB. If the circumference of the circle is 44 cm, then what is area of △ACB given that CD = 5 cm (Use π=227).

Answer»

In the figure given below, AB is the diameter of the circle and CD is the height of ACB. If the circumference of the circle is 44 cm, then what is area of ACB given that CD = 5 cm (Use π=227).

989.

निम्नलिखित प्रश्न का उत्तर एक-दो पंक्तियों में दीजिए − सत्कार की ऊष्मा समाप्त होने पर क्या हुआ?

Answer»

निम्नलिखित प्रश्न का उत्तर एक-दो पंक्तियों में दीजिए


सत्कार की ऊष्मा समाप्त होने पर क्या हुआ?

990.

If B lies between A and C, AC = 15 cm and BC = 9 cm then AB2 is :-

Answer»

If B lies between A and C, AC = 15 cm and BC = 9 cm then AB2 is :-


991.

Question 6 (iii) Simplify the expression and find the value ifx is equal to 2: 6x + 5(x - 2)

Answer»

Question 6 (iii)

Simplify the expression and find the value ifx is equal to 2:
6x + 5(x - 2)

992.

Find using distributive property:4275×125

Answer»

Find using distributive property:

4275×125



993.

Question 1With the help of a ruler and a compass it is not possible to construct an angle of(A) 37.5∘(B) 40∘(C) 22.5∘(D) 67.5∘

Answer» Question 1

With the help of a ruler and a compass it is not possible to construct an angle of




(A) 37.5

(B) 40

(C) 22.5

(D) 67.5
994.

Which of the following is equivalent to 1 J?

Answer»

Which of the following is equivalent to 1 J?



995.

The areas of two circles are in the ratio 49 : 36. The ratio of their circumferences is(a) 7 : 6 (b) 6 : 7 (c) 3 : 2 (d) 2 : 3

Answer» The areas of two circles are in the ratio 49 : 36. The ratio of their circumferences is



(a) 7 : 6 (b) 6 : 7 (c) 3 : 2 (d) 2 : 3
996.

In Fig. 104, AB || CO, ∠OAB = 150° and ∠OCO = 120°. Then, ∠AOC =(a) 80°(b) 90°(c) 70°(d) 100°

Answer» In Fig. 104, AB || CO, ∠OAB = 150° and ∠OCO = 120°. Then, ∠AOC =

(a) 80°

(b) 90°

(c) 70°

(d) 100°

997.

Question 33 Fill in the blanks to make the statement true. If 5 is added to three times a number, it becomes the same as 7 is subtracted from four times the same number. This fact can be represented as ..............

Answer»

Question 33

Fill in the blanks to make the statement true.

If 5 is added to three times a number, it becomes the same as 7 is subtracted from four times the same number. This fact can be represented as ..............

998.

Prove using calculus that the straight line lx+my+n=0 will touch the hyperbola y²=4ax if am²=nl

Answer» Prove using calculus that the straight line lx+my+n=0 will touch the hyperbola y²=4ax if am²=nl
999.

Rationalise the denominator of each of the following.(i) 17+6-13 (ii) 33+5-2 (iii) 42+3+7

Answer» Rationalise the denominator of each of the following.

(i) 17+6-13 (ii) 33+5-2 (iii) 42+3+7
1000.

find integral of cos square x dx

Answer» find integral of cos square x dx