Aptitude and Reasoning Questions

Q:

 In the following question, select the odd word from the given alternatives.

 

A) Rain B) Steam
C) Ice D) Evaporation
 
Answer & Explanation Answer: D) Evaporation

Explanation:
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Filed Under: Odd Man Out
Exam Prep: Bank Exams

1 31931
Q:

If 20&60 = 8, 40&80 = 12 and 10&20 = 3, then find the value of 20&50 = ?

 

A) 18 B) 7
C) 10 D) 17
 
Answer & Explanation Answer: B) 7

Explanation:
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Filed Under: Coding and Decoding
Exam Prep: Bank Exams

2 31919
Q:

When four fair dice are rolled simultaneously, in how many outcomes will at least one of the dice show 3?

A) 620 B) 671
C) 625 D) 567
 
Answer & Explanation Answer: B) 671

Explanation:

When 4 dice are rolled simultaneously, there will be a total of 6 x 6 x 6 x 6 = 1296 outcomes.

 

The number of outcomes in which none of the 4 dice show 3 will be 5 x 5 x 5 x 5 = 625 outcomes.

 

Therefore, the number of outcomes in which at least one die will show 3 = 1296 – 625 = 671

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48 31854
Q:

select the letter missing from the following series.


U, O, I, ?,A

 

A) D B) Q
C) p D) E
 
Answer & Explanation Answer: D) E

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

0 31832
Q:

Consider the following statements:

1) The perimeter of a triangle is greater than the sum of its three medinas.

2) In any triangle ABC, if D is any point on BC, then AB + BC + CA > 2AD.

Which of the above statements is/are correct?

A) 1 only B) 2 only
C) Both 1 and 2 D) Neither 1 nor 2
 
Answer & Explanation Answer: C) Both 1 and 2

Explanation:
Let ABC be the triangle and D. E and F are midpoints of BC, CA and AB respectively.
Recall that the sum of two sides of a triangle is greater than twice the median bisecting the third side,(Theorem to be remembered)
Hence in ΔABD, AD is a median
AB + AC > 2(AD)
Similarly, we get
BC + AC > 2CF
BC + AB > 2BE
On adding the above inequations, we get
(AB + AC) + (BC + AC) + (BC + AB )> 2AD + 2CD + 2BE
2(AB + BC + AC) > 2(AD + BE + CF)
AB + BC + AC > AD + BE +CF
 
2.
To prove: AB + BC + CA > 2AD
Construction: AD is joined
Proof: In triangle ABD,
AB + BD > AD [because, the sum of any two sides of a triangle is always greater than the
third side]
----
1
In triangle ADC,
AC + DC > AD [because, the sum of any two
sides of a tri
angle is always greater than the
third side]
----
2
Adding 1 and 2 we get,
AB + BD + AC + DC > AD + AD
=> AB + (BD + DC) + AC > 2AD
=> AB + BC + AC > 2AD
Hence proved
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

1 31804
Q:

Consider the following statement and select the best option.

 

Gold is more expensive than silver.

A) Never B) Always
C) Often D) Sometimes
 
Answer & Explanation Answer: B) Always

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

1 31784
Q:

If a + b + c = 13, a2+b2+c2=69 then find the ab + bc + ca :

A) 10 B) 30
C) 50 D) 70
 
Answer & Explanation Answer: C) 50

Explanation:

a+b+c2=a2+b2+c2+2ab+bc+ca

2ab+bc+ca=a+b+c2-a2+b2+c2=169-69=100=ab+bc+ca=50

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Filed Under: Simplification

53 31783
Q:

Arrange the following words as per order in the dictionary.

1. Fraudulent 2. Fraught 3. Fraternity 4. Franchise 5. Frantic

A) 5,4,1,2,3 B) 4,5,3,1,2
C) 4,3,5,1,2 D) 3,4,5,2,1
 
Answer & Explanation Answer: B) 4,5,3,1,2

Explanation:
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Filed Under: Arithmetical Reasoning
Exam Prep: Bank Exams

2 31769