Aptitude and Reasoning Questions

Q:

In a fort, there are 1200 soldiers. If each soldier consumes 3 kg per day, the provisions available in the fort will last for 30 days. If some more soldiers join, the provisions available will last for 25 days given each soldier consumes 2.5 kg per day. Find the number of soldiers joining the fort in that case ?

A) 693 B) 741
C) 528 D) 654
 
Answer & Explanation Answer: C) 528

Explanation:

Assume x soldiers join the fort. 1200 soldiers have provision for 1200 (days for which provisions last them)(rate of consumption of each soldier)
= (1200)(30)(3) kg.

Also provisions available for (1200 + x) soldiers is (1200 + x)(25)(2.5) k

As the same provisions are available
=> (1200)(30)(3) = (1200 + x)(25)(2.5)

x = ([(1200)(30)(3)] / (25)(2.5)) - 1200 => x = 528.

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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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30 20319
Q:

From the given words, select the word which cannot be formed using the letters of the given word.

ILLUSTRIOUS

A) Lust B) Trust
C) Riot D) Rust
 
Answer & Explanation Answer: B) Trust

Explanation:
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0 20302
Q:

Read the given statement carefully and answer the question.

 

A group of people getting together casually without prior planning and in a relaxed manner is called informal gathering.

 

Which of the following situations better fits the above statement?

 

A) A group celebrates every month on salary day B) Invitees gather on the occasion of wedding reception
C) Soon after the release of mark list, top 10 rankers gather to greet each other D) People gather to witness beating retreat at Wagah border in Amritsar
 
Answer & Explanation Answer: C) Soon after the release of mark list, top 10 rankers gather to greet each other

Explanation:
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Filed Under: Statement and Conclusions
Exam Prep: Bank Exams

0 20292
Q:

First day of the month is Tuesday and Last day of the same month is Monday. Then which one will be that month ?

A) January B) February
C) March D) August
 
Answer & Explanation Answer: B) February

Explanation:

We know that the day repeats after every seven days. 

Given that first day of the month is Tuesday

i.e    1st - Tuesday

1+7 = 8 - Tuesday

8+7 =15- Tuesday

15+7=22-Tuesday

22+7=29-Tuesday

But given that last day of the same month is Monday

It is possible only in he month of Febuary with 28 days.

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Filed Under: Data Sufficiency
Exam Prep: Bank Exams
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17 20284
Q:

A man can row 9 km/h in still water. It takes him twice as long as to row down. Find the rate of stream of the river ?

Answer

\inline \frac{Time\: taken\: in\: upstream}{Time\: taken\: in\: downstream} = \inline \frac{2}{1}


 \inline \therefore \inline \frac{Downstream\: speed}{upstream\: speed} = \inline \frac{2}{1}        where  \inline \frac{B+R}{B-R}=\frac{2}{1}


B ---> speed of boat in still water


R---->speed of current


\inline \Rightarrow \frac{B}{R}=\frac{3}{1}    ( By componendo and dividendo)


\inline \Rightarrow \frac{9}{R}=\frac{3}{1}\: \: \Rightarrow R= 3\: km/h

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113 20281
Q:

Select the related word/letters/numbers from the given alternatives:

Words : Sentence :: Paragraph: ?

A) TYPING B) Essay
C) Letters D) Phrase
 
Answer & Explanation Answer: B) Essay

Explanation:
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0 20273
Q:

The breadth of a rectangular field is 60% of its length. If the perimeter of the field is 800 m.What is the area of the field?

A) 47500 B) 37500
C) 57500 D) 77500
 
Answer & Explanation Answer: B) 37500

Explanation:

Let length = x meters, then breadth = 0.6x 

Given that  perimeter = 800 meters 

=> 2[ x + 0.6x] = 800 

=> x = 250 m 

Length = 250m and breadth = 0.6 x  250 = 150m 

Area = 250 x 150 = 37500 sq.m

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Filed Under: Area
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19 20244
Q:

How many numbers up to 300 and 700 are divisible by 2, 3 and 7 both together ?

A) 7 B) 9
C) 11 D) 5
 
Answer & Explanation Answer: B) 9

Explanation:

LCM of 2, 3, 7 is 42.

=> (700 – 300)/42 = 9  22/42 => 9 Numbers.

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Filed Under: Numbers
Exam Prep: AIEEE , Bank Exams , CAT
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28 20218