Aptitude and Reasoning Questions

Q:

Three of the following four are alike in certain way and hence form a group. Which one of the following does not belong to that group ?

A) BHF B) LDJ
C) OKG D) ZTY
 
Answer & Explanation Answer: C) OKG

Explanation:

OKG
Remaining all are not in series
only OKG is in series of(15,11,7)

Here it follows the random difference of '4'.

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Q:

CK169JROS2419TXKM??PV

A) 14,21 B) 21,14
C) 56,84 D) 84,56
 
Answer & Explanation Answer: B) 21,14

Explanation:

Putting A=1, B=2, C=3,..., M=13,....,X=24,Y=25, Z=26, we have :

 

 

 

 JR = J + R2 + 2 = 10 + 18 2 + 2 = 16

 

 

 

CK = C + K2 + 2 =  3 + 112 + 2 = 9

 

 

 

TX = T + X2+ 2 = 20 + 242 + 2 = 24

 

 

 

OS = O + S2 + 2 = 15 + 192 + 2 = 19

 

 

 

 So, the missing numbers are :

 

 

 

21 and 14

 

 

 

Hence, the answer is (b).

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Q:

The top and bottom of a tower were seen to be at angles of depression 30° and 60° from the top of a hill of height 100 m. Find the height of the tower ?

A) 42.2 mts B) 33.45 mts
C) 66.6 mts D) 58.78 mts
 
Answer & Explanation Answer: C) 66.6 mts

Explanation:

ht1488353450.jpg image

From above diagram
AC represents the hill and DE represents the tower

Given that AC = 100 m

angleXAD = angleADB = 30° (∵ AX || BD )
angleXAE = angleAEC = 60° (∵ AX || CE)

Let DE = h

Then, BC = DE = h, AB = (100-h) (∵ AC=100 and BC = h), BD = CE

tan 60°=AC/CE => √3 = 100/CE =>CE = 100/√3 ----- (1)

tan 30° = AB/BD => 1/√3 = 100−h/BD => BD = 100−h(√3)
∵ BD = CE and Substitute the value of CE from equation 1
100/√3 = 100−h(√3) => h = 66.66 mts

The height of the tower = 66.66 mts.

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Q:

A 260 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train  ?

A) 240 mts B) 270 mts
C) 260 mts D) 250 mts
 
Answer & Explanation Answer: A) 240 mts

Explanation:

Relative speed = 120 + 80 = 200 km/hr.
= 200 x 5/18 = 500/9 m/sec.

Let the length of the other train be L mts.
Then, (L + 260)/9 = 500/9 => L = 240 mts.

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Q:

When Ankith saw Sanvi, he recalled, " She is the daughter of the father of my daughter's mother." Who is Sanvi to Ankit ?

A) sister B) daughter-in-law
C) sister-in-law D) cousin
 
Answer & Explanation Answer: C) sister-in-law

Explanation:

Ankit's daughter's mother---Ankit's wife; Ankit's wife's father---Ankit's father-in-law;
Father-in-law's daughter--- Ankit's sister-in-law. So, Sanvi is sister-in-law of Ankit.

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Q:

A sum of Rs. 4,300 is distributed among M, N and O, such that M receives 25% more than N and N receives 25% less than O. What is O’s share in the amount?

A) 1564 B) 1600
C) 1632 D) 1714
 
Answer & Explanation Answer: B) 1600

Explanation:

Let O's share = Rs. P

=> N's share = 75100 x P = 3P4

M's share = 54 x 3P4 = 15P16

15P16 + 3P4 + P = 4300=> P = 4300 x 1643 = 1600 

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Q:

'BE' is related to 'GJ' in the same way as 'PS' is related to ?

A) VX B) TU
C) UX D) TV
 
Answer & Explanation Answer: C) UX

Explanation:

Each corresponding letter moves five places forward in the alphabet.
Here as BE is related to GJ then PS will relate to UX.

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Q:

A tailor has 37.5 metres of cloth and he has to make 8 pieces out of a metre of cloth. How many pieces can he make out of half of the cloth he has ?

A) 300 B) 150
C) 175 D) 200
 
Answer & Explanation Answer: B) 150

Explanation:

Half of the cloth = 37.5/2
From 1 meter he will make 8 pieces
=> in 37.5/2 ---- ?

37.5/2 x 8

= 150.

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