Recent questions tagged maths

Description : Class 12 | Maths | Complex Numbers | Simplify the following complex numbers and find their modulus.

Last Answer : Class 12 | Maths | Complex Numbers | Simplify the following complex numbers and find their modulus.

Description : Maths | Complex Numbers | If √3 + i =  r (cosθ + i sinθ), then find the value of θ in radian measure.

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Description : Class 12 | Maths | Complex Numbers | Simplify -2i ( 3 + i )( 2 + 4i )( 1 + i ) and obtain the modulus of that complex number.

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Description : Class 12 | Maths | Complex Numbers | Express the complex numbers modulus-amplitude form  - √3 + i

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Description : Fill in the blanks: (a) 1 lakh = ………….. ten thousand. (b) 1 million = …………… hundred thousand. (c) 1 crore = ………………. ten lakh. (d) 1 crore = ……………. million. (e) 1 million = ……………. lakh. -Maths

Last Answer : a) 10 (b) 10 (c) 10 (d) 10 (e) 10

Description : A number is increased by 10% and the increased num\ber is decreased by 10%. Show that the net decrease is 1 -Maths

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Description : The population of a town increases at 5% per annum. Its present population is 16000. What will be its population after 2 years? -Maths

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Description : The value of a machine depriciates at the rate of 10% per annum. If its present value is Rs 10000, what will be its value after 2 years? -Maths

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Description : (i) What per cent of 1 kg is 125 g? (ii) What per cent of 80 m is 24 m? -Maths

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Description : An ore contains 12% copper. How many kilograms of the ore are required to get 69 kg of copper? -Maths

Last Answer : 579 kg is the answer

Description : 70% of the students in a school are boys and the number of girls is 504. Find the number of boys in the school. -Maths

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Description : 96% of the cost of a TV is Rs 10464. What is its total cost? -Maths

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Description : The excise duty on a certain item has been reduced to Rs 760 from Rs 950. Find the reduction per cent in the excise duy on that item. -Maths

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Description : The monthly salary of a typist is Rs 15625. If he gets an increase of 12%, find his new salary. -Maths

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Description : Rupesh secures 495 marks out of 750 in his annual examination. Find the percentage of marks obtained by him. -Maths

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Description : 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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Description : What per cent of 84 is 14? -Maths

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Description : If 12.5% of x is 6, find the value of x. -Maths

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Description : What amount is 10% more than Rs 90? -Maths

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Description : Find the number whose 614% is 2. -Maths

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Description : Find the number whose 13% is 65. -Maths

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

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

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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%

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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Description : 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

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)

Description : Write each of the following as decimals: (a) Seven-tenths (b) Two tens and nine-tenths (c) Fourteen point six (d) One hundred and two ones (e) Six hundred point eight -Maths

Last Answer : (a) The decimal form of Seven-tenths is 7 / 10 = 0.7 (b) The decimal form of two tens and nine tenths is 20 + 9 / 10 = 20.9 (c) The decimal form of fourteen point six is 14.6 (d) The decimal form of one hundred and two ones is 100 + 2 = 102.0 (e) The decimal form of six hundred point eight is 600.8