Aptitude and Reasoning Questions

Q:

If a2+b2 = c2 , then 1logc+ab + 1logc-ab = ?

A) 1 B) 2
C) 4 D) 8
 
Answer & Explanation Answer: B) 2

Explanation:

Given a2 + b2 = c2

 

Now  1logc+ab  + 1logc-ab 

 

logbc+a + logbc-a

 

logbc2-a2

2logbb = 2

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Filed Under: Logarithms
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
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Q:

Two solutions have milk & water in the ratio 7:5 and 6:11. Find the proportion in which these two solutions should Be mixed so that the resulting solution has 1 part milk and 2 parts water ?

A) 7 : 12 B) 8 : 13
C) 9 : 4 D) 2 : 5
 
Answer & Explanation Answer: B) 8 : 13

Explanation:

To get the solution that contains 1 part of milk and two parts of water,
they must be mixed in the ratio as
7x+6x/5y+11y = 1/2
26x = 16y
x/y = 16/26
x/y = 8/13

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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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Q:

16 men and 12 women can complete a work in 20 days. 18 women can complete the same work in 40 days. In how many days will 12 men 27 women complete the same work?

A) 16 days B) 18 days
C) 19 days D) 21 days
 
Answer & Explanation Answer: A) 16 days

Explanation:

(16M + 12W) x 20 = 18W x 40

=> 2M = 3W

Then,
Convert all men into women

12M + 27W = 27 + 12 x 3/2W = 45W

Let number of days required be 'D'

=> 18 x 40 = 45 x D

=> D = 16 days.

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Filed Under: Time and Work
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12 12220
Q:

Should government jobs in rural areas have more incentives

Arguments:

1. Yes. Incentives are essential for attracting government servants there

2. No. Rural areas are already cheaper,healthier and less complex than big cities .So,why offer extra incentives!

A) Only 1 is true B) Only 2 is true
C) Either 1 or 2 is true D) Neither 1 or 2 is true
 
Answer & Explanation Answer: A) Only 1 is true

Explanation:

Government jobs in rural are underlined with several difficulties in love of these .In lieu of these ,extra incentives are needed

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Filed Under: Statement and Arguments
Exam Prep: GRE

5 12218
Q:

Directions : For the Assertion (A) and Reason (R) below, choose the correct alternative 

Assertion (A)   :   Weeds should not be allowed to grow along with the crops. 

Reason (R)     :    Weeds leave no space for plants to grow. 

A) Both A and R are true and R is the correct explanation of A. B) Both A and R are true but R is NOT the correct explanation of A.
C) A is true but R is false. D) A is false but R is true.
 
Answer & Explanation Answer: C) A is true but R is false.

Explanation:

Weeds should not be allowed to grow along with the crops because they consume the plant nutrients. 

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Filed Under: Assertion and Reason

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Q:

A, B and C started a business where their initial capital was in the ratio of 2:3:4. At the end of 6 months, A invested an amount such that his total capital became equal to C's initial capital investment. If the annual profit of B is Rs. 3000 then what is the total profit  ? 

A) Rs. 8,640 B) Rs. 9,850
C) Rs. 10,000 D) Rs. 11,220
 
Answer & Explanation Answer: C) Rs. 10,000

Explanation:

Ratio of investments of A, B & C = 2×6+4×6 : 3×12 : 4×12

= 36 : 36 : 48

= 6 : 6 : 8

But given that the annual profit of B is Rs. 3000

=> 6 ratio = 3000

Then for the total annual profit of partners is

20 ratio = 3000 x 20/6 = 10,000.

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Filed Under: Partnership
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18 12196
Q:

Refer the below data table and answer the following question.

Between 10pm to 6am, a fitness band records the following data. How long was the user dreaming or was awake ?

 

A) 4 hours B) 3 hours
C) 2 hours D) 4.5 hours
 
Answer & Explanation Answer: A) 4 hours

Explanation:
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Filed Under: Table Charts
Exam Prep: Bank Exams

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Q:

The present worth of Rs.1404 due in two equal half-yearly instalments at 8% per annum. Simple interest is:

A) 1320 B) 1300
C) 1325 D) 1200
 
Answer & Explanation Answer: C) 1325

Explanation:

Required Sum = PW of Rs.702 due 6 months hence + PW of Rs.702 due 1 year hence 

= Rs.[ (100 x 702) / (100+(8 x 1/2)) ] + [ (100 x 702) / (100+(8 x 1)) ]  

= Rs.1325

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Filed Under: True Discount

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