Aptitude and Reasoning Questions

Q:

In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?

A) 76 B) 54
C) 64 D) 48
 
Answer & Explanation Answer: B) 54

Explanation:

Let R, G and B represent the number of balls in red, green and blue boxes respectively.

Then, .

R + G + B = 108 ...(i),

G + R = 2B ...(ii)

B = 2R ...(iii)

From (ii) and (iii), we have G + R = 2x 2R = 4R or G = 3R.

Putting G = 3R and B = 2R in (i), we get:

R + 3R + 2R = 108 6R = 108 R = 18.

Therefore Number of balls in green box = G = 3R = (3 x 18) = 54.

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Filed Under: Arithmetical Reasoning
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Q:

Two cars start from a house at an interval of 10 min and travel at a speed of 20 kmph. With how much speed should a woman coming from the opposite direction towards the house travel, to meet the cars at an interval of 8 min?

A) 5 B) 6
C) 7 D) 4
 
Answer & Explanation Answer: A) 5

Explanation:
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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

A used car dealer sells a car for Rs 7.6 lakhs and makes some loss. If he had sold it for Rs 9.2 lakhs his profit would have been thrice his loss. What was the cost price of the car (in Rs lakhs)?

A) 8.5 B) 8.75
C) 8.25 D) 8
 
Answer & Explanation Answer: D) 8

Explanation:
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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

Manish completes a work in 20 days. After 8 days Sriram joined the work. In how many days will the work be completed  ?

Statements :

I. Sriram takes twice the time than Manish to complete the work.
II. Sriram completes half the work in 15 days.

A) Statement I alone is sufficient to answer the question B) Statement II alone is sufficient to answer the question
C) Either the statements I & II is sufficient to answer the question D) Neither the statements I & II is sufficient to answer the question
 
Answer & Explanation Answer: C) Either the statements I & II is sufficient to answer the question

Explanation:

From statement I,

Time taken by Sriram to complete the work = 40 days

From statement II,

Time taken by Sriram to complete the wok = 30 days

So from both either by statement I or statement II we can find the time to complete the work.

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Filed Under: Statement and Assumptions
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

A man travels some distance at a speed of 12 km/hr and returns at a speed of 9 km/hr. If the total time taken by him is 2 hrs 20 min, the distance is

A) 35 Km B) 21 Km
C) 9 Km D) 12 Km
 
Answer & Explanation Answer: D) 12 Km

Explanation:
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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

Pointing the lady in the photograph, Seema said, "Her son's father is the son­in­law of my mother". How is Seema related to the lady?

A) Sister B) Mother
C) Cousin D) Aunt
 
Answer & Explanation Answer: A) Sister

Explanation:
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Filed Under: Blood Relations
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Q:

0 divided by 0

A) 0 B) 1
C) Undefined D) Indeterminate
 
Answer & Explanation Answer: D) Indeterminate

Explanation:

Indeterminate are those,which mathematics can’t determine.

Because we don’t actually know which one is the exact answer for this due to having lots of results for this.

Explanation::

      • Let us think by this analogy that,

0 / 1 = 0

0 / 2 = 0

…………

………..

we can say 0 / n = 0 from this we can write, 0/0 = 0

      • Again, another analogy,(from limiting concept of 1/0 = infinity)

1 / 0 = + or -

2 /0 = + or -

………

.…….

we can say 0 / 0 = 

      • Again, another analogy,

1 / 1 = 1

2/2 = 1

.……..

………..

we can say, 0/0 = 1

Now, you see it’s confusing. Every analog is mathematically correct then which one is the right answer for 0/0.  Therefore Mathematics can’t determine this fact.

So, 0/0 is indeterminate.

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Filed Under: Arithmetical Reasoning
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Q:

If A's wealth is 4/9 times of B's and C's is 7/6 times of B's, what is the ratio of C's wealth to A's?

A) (8:21) B) (21:8)
C) (27:14) D) (14:27)
 
Answer & Explanation Answer: B) (21:8)

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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