A question paper has two parts A and B, each containing 12 questions. If a student needs to choose 10 from part A and 8 from part B, in how many ways can he do that? A) 32670 B) 36020 C) 41200 D) 29450

A question paper has two parts A and B, each containing 12 questions. If a student needs to choose 10 from part A and 8 from part B, in how many ways can he do that? A) 32670 B) 36020 C) 41200 D) 29450
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1 Answer

Answer :

Answer: A)

 Number of ways to choose 10 questions from part A = 12C10

 Number of ways to choose 8 questions from part B = 12C8

 Total number of ways= 12C10 × 12C8

 = 12C2 × 12C4 [∵ nCr = nC(n-r)]

 ={12×11}/{2×1}X{12×11×10×9} / {4×3×2×1}

 =66×495

=32670
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In how many different ways can the letters of the word 'RAPINE' be arranged in such a way that the vowels occupy only the odd positions? A) 32 B) 48 C) 36 D) 60 E) 120

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Last Answer : Answer: C)  The word 'CABIN' has 5 letters and all these 5 letters are different.  Total number of words that can be formed by using all these 5 letters  = 5P5  = 5!  = 5×4×3×2×1  = 120 

Forty percent of Mouli’s annual salary is equal to 160% of Surya’s annual salary. Surya’s monthly salary is 80%of Gowthaman’s monthly salary. If Gowthaman’s annual salary is ` 12 lacs, what is Mouli’s monthly salary ? (At some places annual income and in some place monthly income is given.) a) 180000 b) 1200000 c) 320000 d) 250000

Description : Forty percent of Mouli's annual salary is equal to 160% of Surya's annual salary. Surya's monthly salary is 80%of Gowthaman's monthly salary. If Gowthaman's annual salary is ` 12 lacs, what is Mouli's ... income and in some place monthly income is given.) a) 180000 b) 1200000 c) 320000 d) 250000

Last Answer : Answer: C Gowthaman’s monthly salary = 12,00,000/12  = 1,00,000 Surya’s monthly salary = 1,00,000 x 80/100 = 80,000 Mouli’s monthly salary = 80,000x 1600/40  =3,20,000

Mithun went to a shop and bought things worth Rs. 75, out of which 90 Paise went on sales tax on taxable purchases. If the tax rate was 18%, then what was the cost of the tax free items? a) 12.5 b) 69.80 c) 19.7 d) 34.5 e) 69.1

Description : Mithun went to a shop and bought things worth Rs. 75, out of which 90 Paise went on sales tax on taxable purchases. If the tax rate was 18%, then what was the cost of the tax free items? a) 12.5 b) 69.80 c) 19.7 d) 34.5 e) 69.1

Last Answer : Answer: E  Total cost of the items he purchased = Rs.75  Given that out of this Rs.75, 90 Paise is given as tax  => Total tax incurred = 90 Paise  = Rs.90/100  Let the cost of the tax free items = x  Given that tax rate = ... −0.9 −x) = 90  ⇒ (75 − 0.9 − x) = 5  x = 75 − 0.9 - 5  X=69.1 

What percent of a day in 12 hours? a) 25 b) 60 c) 45 d) 20 e) 50

Description : What percent of a day in 12 hours? a) 25 b) 60 c) 45 d) 20 e) 50

Last Answer : Answer: E  Total hours in a day = 24 Required percent = 12/24 ×100  = 50%

A shopkeeper bought 1800 blackberry and 1200 blueberry. He found 45% of blackberry and 24% of blueberry were rotten. Find the percentage of fruits in good condition. a) 63.4 b) 32.9 c) 48.5 d) 56.3

Description : A shopkeeper bought 1800 blackberry and 1200 blueberry. He found 45% of blackberry and 24% of blueberry were rotten. Find the percentage of fruits in good condition. a) 63.4 b) 32.9 c) 48.5 d) 56.3

Last Answer :  Answer: A Total number of fruits shopkeeper bought = 1800 + 1200 = 1000 Number of rotten blackberry = 45% of 1800  = 45/100 1800  = 81000/100  = 810 Number of rotten blueberry = 24% of 1200 ... Therefore Percentage of fruits in good condition = (1902/3000 100)  = (190200/3000)  = 63.4%

mouli had $ 3600 left after spending 40 % of the money he took for shopping. How much money did he take along with him? a) 2500 b) 6000 c) 4500 d) 3000 e) 9800

Description : mouli had $ 3600 left after spending 40 % of the money he took for shopping. How much money did he take along with him? a) 2500 b) 6000 c) 4500 d) 3000 e) 9800 

Last Answer : Answer: B  Let the money he took for shopping be x.  Money he spent = 40 % of x  = 40/100 x  = 4/10 x  Money left with him = x - 4/10 x = (10x - 4x)/10 = 6x/10  But money left with ... 6x/10 = 3600  x = 3600 10/6  x = 36000/6  x = 6000  Therefore, the money he took for shopping is 6000.

In a competitive examination in Pondicherry, 18% candidates got selected from the total appeared candidates. Tamilnadu and Pondicherry had an equal number of candidates appeared and in Tamilnadu 21% candidates got selected with 240 more than the candidates got selected in Pondicherry. What was the number of candidates appeared from each State? a) 25000 b) 84000 c) 24000 d) 700000 e) 9800

Description : In a competitive examination in Pondicherry, 18% candidates got selected from the total appeared candidates. Tamilnadu and Pondicherry had an equal number of candidates appeared and in Tamilnadu 21% candidates got selected ... appeared from each State? a) 25000 b) 84000 c) 24000 d) 700000 e) 9800

Last Answer : Answer: C  Pondichery and Tamilnadu had an equal number of candidates appeared  In Pondicherry, 18% candidates got selected from the total appeared candidates  In tamilnadu, 21% candidates ... > total appeared candidates in pondicherry = total appeared candidates in tamilnadu = 24000

The value of a machine depreciates at the rate of 20% every year. It was purchased 6 years ago. If its present value is Rs. 17,496, its purchase price was : a) 25023.4 b) 67040.0 c) 34171.8 d) 27337.5

Description : The value of a machine depreciates at the rate of 20% every year. It was purchased 6 years ago. If its present value is Rs. 17,496, its purchase price was : a) 25023.4 b) 67040.0 c) 34171.8 d) 27337.5

Last Answer : Answer: C  Purchase price = 17,496 / (1 -20/ 100)³  = 17,496 × 10/8 × 10/8 ×10/8  = 17496 × 1.25 × 1.25 ×1.25  = 17496 ×1.953  = 34171.8

Find the number which when decreased by 24 % becomes 594. a) 625.8 b) 360.9 c) 465.7 d) 781.5 e) 398.5

Description : Find the number which when decreased by 24 % becomes 594. a) 625.8 b) 360.9 c) 465.7 d) 781.5 e) 398.5

Last Answer : Answer: D Let the number be m. Decrease = 24 % of m  = 24/100 × m = 6m /25 Therefore, decrease number = m – 6m/25 = (25m – 6m)/25 = 19m/25 According to the question 19m/25 = 594  19m = 594 × 25  19m = 14850  m = 14850/19  m =781.5