Convert each of the following into decimal form: (i) 45% (ii) 127% (iii) 3.6% (iv) 0.23% -Maths

Convert each of the following into decimal form: (i) 45% (ii) 127% (iii) 3.6% (iv) 0.23% -Maths
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Find: (i) 32% of 425 (ii) 1623% of 16 (iii) 6.5% of 400 (iv) 136% of 70 (v) 2.8% of 35 (vi) 0.6% of 45 -Maths

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Convert each of the following decimals into a percentage: (i) 0.6 (ii) 0.42 (iii) 0.07 (iv) 0.005 -Maths

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Convert each of the following into a fraction: (i) 32% (ii) 614% (iii) 2623% (iv) 120% (v) 6.25% (vi) 0.8% (vii) 0.06% (viii) 22.75% -Maths

Description : Convert each of the following into a fraction: (i) 32% (ii) 614% (iii) 2623% (iv) 120% (v) 6.25% (vi) 0.8% (vii) 0.06% (viii) 22.75% -Maths

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Convert each of the following ratios into a percentage: (i) 37 : 100 (ii) 16 : 25 (iii) 3 : 5 (iv) 5 : 4 -Maths

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Convert each of the following fraction into a percentage: (i) 47 100 (ii) 9 20 (iii) 3 8 (iv) 8 125 (v) 19 500 (vi) 4 15 (vii) 2 3 (viii) 1 3 5 -Maths

Description : Convert each of the following fraction into a percentage: (i) 47 100 (ii) 9 20 (iii) 3 8 (iv) 8 125 (v) 19 500 (vi) 4 15 (vii) 2 3 (viii) 1 3 5 -Maths

Last Answer : We have the following: (i) 47100=47100×100% = 47% (ii) 920=920×100% =9×5%= 45% (iii) 38=38×100% =3×252%=752%=3712% (iv) 8125=8125×100%=8×45%=325%=6.4% (v) ... ;203%=803%=2623% (vii) 23=23×100%=2003%=6623% (viii) 135=85=85×100%=(8×20)%=160%

Express each of the following as a ratio: (i) 43% (ii) 36% (iii) 7.5% (iv) 125% -Maths

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What percentage is (i) Rs 15 of Rs 120? (ii) 36 minutes of 2 hours? (iii) 8 hours of 2 days (iv) 160 metres of 4 km? (v) 175 mL of 1 litre? (vi) 25 paise of Rs 4? -Maths

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Find: (i) 25% of Rs 76 (ii) 20% of Rs 132 (iii) 7.5% of 600 m (iv) 313% of 90 km (v) 8.5% of 5 kg (vi) 20% of 12 litres -Maths

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Write each of the following as decimals: (a) 5 / 10 (b) 3 + 7 / 10 (c) 200 + 60 + 5 + 1 / 10 (d) 70 + 8 / 10 (e) 88 / 10 -Maths

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Last Answer : (a) 5 / 10 = 0.5 (b) 3 + 7 / 10 = 3 + 0.7 = 3.7 (c) 200 + 60 + 5 + 1 / 10 = 265 + 0.1 = 265.1 (d) 70 + 8 / 10 = 70 + 0.8 = 70.8 (e) 88 / 10 = 80 / 10 + 8 / 10 = 8 + 0.8 = 8.8 (f) (g) 3 / 2 = (2 + 1) / ... + 0.5 = 1.5 (h) 2 / 5 = 0.4 (i) 12 / 5 = (10 + 2) / 5 = 10 / 5 + 2 / 5 = 2 + 0.4 = 2.4 (j) (k)

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Evaluate each of the following using identities: (i) (2x –1x)2 (ii) (2x + y) (2x – y) (iii) (a2b – b2a)2 (iv) (a – 0.1) (a + 0.1) (v) (1.5.x2 – 0.3y2) (1.5x2 + 0.3y2) -Maths 9th

Description : Evaluate each of the following using identities: (i) (2x –1x)2 (ii) (2x + y) (2x – y) (iii) (a2b – b2a)2 (iv) (a – 0.1) (a + 0.1) (v) (1.5.x2 – 0.3y2) (1.5x2 + 0.3y2) -Maths 9th

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Last Answer : (i) Highest rectifier efficiency : Center tapped & Bridge full wave Rectifier  (ii) Highest form factor : Center tapped & Bridge full wave Rectifier  (iii) Two diode rectifier circuit : Center tapped full wave Rectifier  (iv) PIV = 2Vm : Center tapped full wave Rectifier

Check whether the following are quadratic equations: (i) (x+ 1)2=2(x-3) (ii) x – 2x = (- 2) (3-x) (iii) (x – 2) (x + 1) = (x – 1) (x + 3) (iv) (x – 3) (2x + 1) = x (x + 5) (v) (2x – 1) (x – 3) = (x + 5) (x – 1) (vi) x2 + 3x + 1 = (x – 2)2 (vii) (x + 2)3 = 2x(x2 – 1) (viii) x3 -4x2 -x + 1 = (x-2)3 -Maths 10th

Description : Check whether the following are quadratic equations: (i) (x+ 1)2=2(x-3) (ii) x - 2x = (- 2) (3-x) (iii) (x - 2) (x + 1) = (x - 1) (x + 3) (iv) (x - 3) (2x + 1) = x (x + 5) (v) (2x - 1) (x - 3) = (x ... vi) x2 + 3x + 1 = (x - 2)2 (vii) (x + 2)3 = 2x(x2 - 1) (viii) x3 -4x2 -x + 1 = (x-2)3 -Maths 10th

Last Answer : this is the correct answer!

ABCD is a trapezium in which AB || CD and AD = BC (see Fig. 8.23). Show that (i) ∠A = ∠B (ii) ∠C = ∠D (iii) ΔABC ≅ ΔBAD (iv) diagonal AC = diagonal BD [Hint : Extend AB and draw a line through C parallel to DA intersecting AB produced at E.] -Maths 9th

Description : ABCD is a trapezium in which AB || CD and AD = BC (see Fig. 8.23). Show that (i) ∠A = ∠B (ii) ∠C = ∠D (iii) ΔABC ≅ ΔBAD (iv) diagonal AC = diagonal BD [Hint : Extend AB and draw a line through C parallel to DA intersecting AB produced at E.] -Maths 9th

Last Answer : ] Solution: To Construct: Draw a line through C parallel to DA intersecting AB produced at E. (i) CE = AD (Opposite sides of a parallelogram) AD = BC (Given) , BC = CE ⇒∠CBE = ∠CEB also, ∠A+∠CBE = ... BC (Given) , ΔABC ≅ ΔBAD [SAS congruency] (iv) Diagonal AC = diagonal BD by CPCT as ΔABC ≅ ΔBA.

In ΔABC and ΔDEF, AB = DE, AB || DE, BC = EF and BC || EF. Vertices A, B and C are joined to vertices D, E and F respectively (see Fig. 8.22). Show that (i) quadrilateral ABED is a parallelogram (ii) quadrilateral BEFC is a parallelogram (iii) AD || CF and AD = CF (iv) quadrilateral ACFD is a parallelogram (v) AC = DF (vi) ΔABC ≅ ΔDEF. -Maths 9th

Description : In ΔABC and ΔDEF, AB = DE, AB || DE, BC = EF and BC || EF. Vertices A, B and C are joined to vertices D, E and F respectively (see Fig. 8.22). Show that (i) quadrilateral ABED is a parallelogram ( ... CF and AD = CF (iv) quadrilateral ACFD is a parallelogram (v) AC = DF (vi) ΔABC ≅ ΔDEF. -Maths 9th

Last Answer : . Solution: (i) AB = DE and AB || DE (Given) Two opposite sides of a quadrilateral are equal and parallel to each other. Thus, quadrilateral ABED is a parallelogram (ii) Again BC = EF and BC || EF ... (Given) BC = EF (Given) AC = DF (Opposite sides of a parallelogram) , ΔABC ≅ ΔDEF [SSS congruency]

Find the following products: (i) (3x + 2y + 2z) (9x2 + 4y2 + 4z2 – 6xy – 4yz – 6zx) (ii) (4x -3y + 2z) (16x2 + 9y2+ 4z2 + 12xy + 6yz – 8zx) (iii) (2a – 3b – 2c) (4a2 + 9b2 + 4c2 + 6ab – 6bc + 4ca) (iv) (3x -4y + 5z) (9x2 + 16y2 + 25z2 + 12xy- 15zx + 20yz) -Maths 9th

Description : Find the following products: (i) (3x + 2y + 2z) (9x2 + 4y2 + 4z2 – 6xy – 4yz – 6zx) (ii) (4x -3y + 2z) (16x2 + 9y2+ 4z2 + 12xy + 6yz – 8zx) (iii) (2a – 3b – 2c) (4a2 + 9b2 + 4c2 + 6ab – 6bc + 4ca) (iv) (3x -4y + 5z) (9x2 + 16y2 + 25z2 + 12xy- 15zx + 20yz) -Maths 9th

Last Answer : answer:

Simplify: (i) (a + b + c)2 + (a – b + c)2 (ii) (a + b + c)2 – (a – b + c)2 (iii) (a + b + c)2 + (a – b + c)2 + (a + b – c)2 (iv) (2x + p – c)2 – (2x – p + c)2 (v) (x2 + y2 – z2)2 – (x2 – y2 + z2)2 -Maths 9th

Description : Simplify: (i) (a + b + c)2 + (a – b + c)2 (ii) (a + b + c)2 – (a – b + c)2 (iii) (a + b + c)2 + (a – b + c)2 + (a + b – c)2 (iv) (2x + p – c)2 – (2x – p + c)2 (v) (x2 + y2 – z2)2 – (x2 – y2 + z2)2 -Maths 9th

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The approximate representation of land use classification in India is [IAS 2010] (a) net area sown 25%; forests 33%; other areas 42% (b) net area sown 58%; forests 17%; other areas 25% (c) net area sown 43%; forests 29%; other areas 28% (d) net area sown 47%; forests 23%; other areas 30%

Description : The approximate representation of land use classification in India is [IAS 2010] (a) net area sown 25%; forests 33%; other areas 42% (b) net area sown 58%; forests 17%; other areas 25% (c) net area sown 43%; forests 29%; other areas 28% (d) net area sown 47%; forests 23%; other areas 30%

Last Answer : Ans: (d)

According to 2017 census what is the share of Sindh in the total Population of Pakistan A. 22% B. 23% C. 25% D. 28%

Description : According to 2017 census what is the share of Sindh in the total Population of Pakistan A. 22% B. 23% C. 25% D. 28%

Last Answer : ANSWER: B

The ratio of population in Kashmir is now _____________ others approximately due to massive killings and other vile acts like settlement of non-Muslim migrants (Hindus and Sikhs) from Punjab. A. 34% Muslims and 66% B. 77% Muslims and 23% C. 66% Muslims and 34% D. Nove of Above

Description : The ratio of population in Kashmir is now _____________ others approximately due to massive killings and other vile acts like settlement of non-Muslim migrants (Hindus and Sikhs) from Punjab. A. 34% Muslims and 66% B. 77% Muslims and 23% C. 66% Muslims and 34% D. Nove of Above

Last Answer : ANSWER: C

The ratio of population in Kashmir is now _____________ others approximately due to massive killings and other vile acts like settlement of non-Muslim migrants (Hindus and Sikhs) from Punjab. A. 34% Muslims and 66% B. 77% Muslims and 23% C. 66% Muslims and 34% D. Nove of Above

Description : The ratio of population in Kashmir is now _____________ others approximately due to massive killings and other vile acts like settlement of non-Muslim migrants (Hindus and Sikhs) from Punjab. A. 34% Muslims and 66% B. 77% Muslims and 23% C. 66% Muslims and 34% D. Nove of Above

Last Answer : ANSWER: C

According to 2017 census what is the share of Sindh in the total Population of Pakistan A. 22% B. 23% C. 25% D. 28%

Description : According to 2017 census what is the share of Sindh in the total Population of Pakistan A. 22% B. 23% C. 25% D. 28%

Last Answer : ANSWER: B

How much of India's total geographical area is forest land? (1) 20% (2) 23% (3) 26% (4) 28%

Description : How much of India's total geographical area is forest land? (1) 20% (2) 23% (3) 26% (4) 28%

Last Answer : (2) 23% Explanation: Forest area (% of land area) in India was last measured at 23.07% in 2011, according to the World Bank. Forest area is land under natural or planted stands of ... at least 5 meters in situ, whether productive or not, and excludes tree stands in agricultural production systems.

Contribution of agriculture in GDP is (A) 23% (B) 30% (C) 40% (D) 60%

Description : Contribution of agriculture in GDP is (A) 23% (B) 30% (C) 40% (D) 60%

Last Answer : (A) 23%