CAT / #Quantitative Ability

November 13, 2017 @ 03:47 PM

November 13, 2017 @ 03:47 PM

K. J. Somaiya Institute of Management Studies and Research, Mumbai

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Quantitative Ability - Percentage

QA

CAT exam is round the corner being conducted on 26th November 2017 and all aspirants must be engaged in tying the loose ends and mastering the subject matter. Here are few questions on Logical Reasoning for your practise.

Question 1)

Anni went to the stationers and bought things worth Rs. 25, out of which 30 paise went or sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax-free items?

A) Rs. 15.00

B) Rs. 15.70

C) Rs. 19.70

D) Rs. 20.00

Answer: Option C

Let the amount taxable purchase be Rs. X

Then, 6% of X = 30/100

X= (30/100) *(100/9) = 5

Cost of tax free items = Rs. (25 – (5+0.30) = Rs 19.70

Question 2)

Rajeev buys good worth Rs. 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods.

A) Rs. 6876.10

B) Rs. 6999.20

C) Rs. 6654.00

D) Rs. 7000.00

Answer: Option A

Rebate = 6% of Rs. 6650 = Rs (6/100) *6250) = Rs. 399

Sales tax = 10% of Rs. (6650 – 399) = Rs. (10/100) * 6251) = Rs. 625.10

Final amount = Rs. (6251 + 625.10) = Rs. 6876.10

Question 3)

In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is of the number of students of 8 years which is 48. What is the total number of students in the school?

A) 72

B) 80

C) 120

D) 150

E) 100

Answer: Option E

Let the number of students be X. then,

Number of students above 8 years of age = (100-20) % of X = 80% of x

80% of x = 48 + 2/3 of 48

80/100 x = 80

X = 100

Question 4)

A student multiplied a number by 3/5 instead of 5/3. What is the percentage error in the calculation

A) 34%

B) 44%

C) 54%

D) 64%

Answer:  Option D

Solution:

Let the number be x

Then, error = (5/3) x – (3/5) x = (16/15) x

Error% = (16x/15) * 100) %

= 64%

Question 5)

In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 48. What is the total number students in the school?

A) 72

B) 80

C) 120

D) 150

D) 100

Answer: Option D

Solution:

Let the number of students be x.

Then,

Number of students above 8 years of age = (100-20) % of x = 80% of x

80% of x = 48 + 2/3 of 48

(80/100) X = 80

X = 100

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