Aptitude and Reasoning Questions

Q:

If (4a +7b) (4c-7d) = (4a -7b) (4c +7d, then which one of the following is correct ?

A) a/b = c/d B) a/d = c/b
C) a/b = d/c D) none
 
Answer & Explanation Answer: A) a/b = c/d

Explanation:

(4a+7b)(4c-7d) = (4a-7b)(4c+7d)

(4a+7b)/(4a-7b) = (4c+7d)/(4c-7d)

Using componendo and dividendo

(4a+7b)+(4a-7b) / (4a+7b)-(4a-7b)

= (4c+7d)+(4c-7d) / (4c+7d)-(4c-7d)

Or 8a/14b = 8c/14d

Or a/b = c/d

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Filed Under: Simplification
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Q:

A can complete 9/10 part of a work in 31 days. After that, with the help of B he can complete the remaining work in 4 days. In how many days will  A and B together can complete that work ?

A) 36 B) 40
C) 42 D) 38
 
Answer & Explanation Answer: B) 40

Explanation:

Remaining work = 1 - 9/10 = 1/10

 

=> A & B together completes 1/10 of work in 4 days

 

=> 1 work can completed in ------ ? days

 

Let it be x days

 

=>  4110=x1

 

=> x = 40 days.

 

Hence, A & B together can complete the work in 40 days.

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Filed Under: Time and Work
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Q:

A number is 2 more than thrice the second number and 4 times the smaller number is 5 more than the greater number. What is greater number  ?

A) 7 B) 23
C) 9 D) 21
 
Answer & Explanation Answer: B) 23

Explanation:

Let the greater and smaller number be p and q respectively.

4q = p + 5 ------ (I)

p = 3q+2 ------- (II)

From equation (I) and (II)

q = 7

p = 23

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Filed Under: Problems on Numbers
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Q:

A dealer sells two machines at Rs 12000 each. On one it gains 32% and on the other it looses 32%. What is its profit/loss percentage in the whole transaction?

A) No gain and no loss B) 1% loss
C) 18% profit D) 10.24% loss
 
Answer & Explanation Answer: D) 10.24% loss

Explanation:
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Filed Under: Profit and Loss
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Q:

Choose the synonym of 'Hypothesis' from the following options ?

A) Theory B) Fascination
C) Complexity D) Falling
 
Answer & Explanation Answer: A) Theory

Explanation:

'Hypothesis' is a word that gives a brief explanation of the concepts based on the limited evidence. The word 'theory' is closest in meaning to it.

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Filed Under: Analogy
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Q:

A chord that passes through the center of a circle is

A) secant B) tangent
C) diameter D) perigram
 
Answer & Explanation Answer: C) diameter

Explanation:

A straight line segment whose endpoints both lie on the circle is called as chord. A chord that passes through the center of a circle is a diameter.

 

A_chord_that_passes_through_the_center_of_a_circle_is1553604966.png image

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Filed Under: Arithmetical Reasoning
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Q:

In which of the following pairs,second person is to  the immediate right of the first person ?

A) H,E B) B,D
C) B,C D) D,A
 
Answer & Explanation Answer: C) B,C

Explanation:

'C' is to the immediate right of the 'B'

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Q:

Twenty percent of Karthik’s monthly salary is equal to thirty two percent of Nikitha’s monthly salary. Vipin’s monthly salary is four fifth that of Nikitha’s monthly salary. If Vipin’s annual salary is Rs. 3.84 lakhs, what is Karthik’s monthly salary?

A) 32,000 B) 64,000
C) 40,000 D) 52,000
 
Answer & Explanation Answer: B) 64,000

Explanation:

From the given data,

20% of K = 32% of N

V = 4/5 N

 

Given Vipin's salary = 3.84 lpa = 3.84/12 = 32,000 per month

Now, N = 5/4 x 32000 = 40000

Now K = 32/20 x 40000 = 64000

 

Hence, karthik's monthly salary = Rs. 64000.

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Filed Under: Percentage
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