Aptitude and Reasoning Questions

Q:

The edge of three cubes of metal is 3 m, 4 m and 5 m. They are melted and formed into a single cube. Find the edge of the new cube  ?

A) 15 m B) 4 m
C) 6 m D) 9 m
 
Answer & Explanation Answer: C) 6 m

Explanation:

The edge of the new cube is = 33+43+53 = a3 => a = 6 m.

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Q:

In a race of 800m Kaushik gives Piyush a start of 200m and then loses the race by 20 seconds. What is the speed of Piyush and Kaushik respectively ? If the ratio of respective speeds be 3:2.

Answer

Let the speed of Kaushik be Sk and speed of Piyush be Sp and let the time taken by Piyush be t second then,


 SkSp = 800t+20600t = 23since given ratio


 


t = 20 s


 


Speed of Piyush = Sp = 600/20 = 30 m/s


 


and    Speed of Kaushik = 800/40 = 20 m/s

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Subject: Time and Distance Exam Prep: AIEEE , Bank Exams , CAT
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Q:

In a class 60% of the students pass in English and 45% pass in Hindi. If 25% of them pass in both subjects, what percentage of the students fail in both the subjects?

A) 20% B) 25%
C) 30% D) 15%
 
Answer & Explanation Answer: A) 20%

Explanation:

Percentage of students passed in English = 60%

Percentage of students passed in Hindi = 45%

Percentage of students passed in both subjects = 25%

ATQ,

Percentage of students passed in only English = 60 - 25 = 35%

Percentage of students passed in only Hindi = 45 - 25 = 20%

Therefore, Percentage of students failed = 100 - (35 + 25 + 20)

= 100 - 80 = 20%.

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Q:

Find the one which does not belong to that group ?

A) Architect B) Blacksmith
C) Sculpture D) Tailor
 
Answer & Explanation Answer: A) Architect

Explanation:

All except Architect are manufactures.

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Q:

Find the area of the rectangle or square with the given dimensions L = 5 inches, W= 3 inches?

A) 13 B) 14
C) 15 D) 16
 
Answer & Explanation Answer: C) 15

Explanation:

We know that,

Area of rectangle A = L x W = 5 x 3 = 15 sq.inches.

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Q:

Raghu can do a job in 12 days alone and Sam can do the same job in 15 days alone. A third person Aru whose efficiency is two-third of efficiency of both Ram and Shyam together, can do the same job in how many days alone?

A) 10 B) 12
C) 13 D) 15
 
Answer & Explanation Answer: A) 10

Explanation:

One day work of Raghu and Sam together = 1/12 + 1/15 = 9/60 = 3/20

Aru efficiency = 2/3 of (Raghu + Sam)

Number of days required for Aru to do thw work alone = 3/2 x 20/3 = 10 days. 

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Q:

5 sin(x)+ 12 cos(x) + r is always greater than or equal to zero. What is the smallest value satisfied by 'r' ?

A) -13 B) 11
C) 13 D) -11
 
Answer & Explanation Answer: C) 13

Explanation:

Given,

 5sinx + 12cosx ≥ -r 

13513sin x + 1213cos x  -rcosx) ≥ -r 

513= cosA => sinA =1213

 

=> 13(sinx cosA + sinA cosx) ≥ -r

 

=> 13(sin(x + A)) ≥ -r

 

we know that , -1 ≤ sin (angle) ≤ 1

 

=> 13sin (x + A) ≥ -13 rmin =13 

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Q:

The admission ticket for an exhibition bears a password which is changed after every clock hour based on set of words chosen for each day. The following is an illustration of the code and steps of rearrangement for subsequent clock hours. The time is 9 a.m. to 3 p.m.

 

Day's first password :       

First Batch  -----  9 a.m. to 10 a.m.

is not ready cloth simple harmony burning

Second Batch  -----  10 a.m. to 11 a.m.

ready not is cloth burning harmony simple

Third Batch  -----  11 a.m. to 12 noon

cloth is not ready simple harmony burning

Fourth Batch  -----  12 noon to 1 p.m.

not is cloth ready burning harmony simple

Fifth Batch  -----  1 p.m. to 2 p.m.

ready cloth is not simple harmony burning and so on. 

 

 If the password for 11 a.m. to 12 noon was --- "soap shy miss pen yet the she", what was the password for the first batch ? 

A) pen miss shy soap she the yet B) shy miss pen soap yet the she
C) soap pen miss shy she the yet D) miss shy soap pen she the yet
 
Answer & Explanation Answer: B) shy miss pen soap yet the she

Explanation:

Clearly, the given arrangement is as under :
In the first step, the first three and the last three letters are written in a reverse order.
Then, the first four and the last three letters are written in a reverse order.

 

The process is repeated to obtain successive output steps. 

Third batch : soap shy miss pen yet the she

Second batch : pen miss shy soap she the yet

First batch : shy miss pen soap yet the she

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