Aptitude and Reasoning Questions

Q:

If sec2A + cosec2A = X, then the value of X is

A) tan2A cot2A B) sinA cosA
C) secA cosecA D) sec2A cosec2A
 
Answer & Explanation Answer: D) sec2A cosec2A

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

The ratio of volume of a cone to that of a cylinder if cylinder radius is reduced by 4 times and its height increased by 8 times of that of the cone, is - 

A) 3:2 B) 2:3
C) 5:7 D) 7:5
 
Answer & Explanation Answer: B) 2:3

Explanation:

Ans. Let radius of the base and height of the cone be ‘r’ & ‘h’ respectively.

Then volume of cone = πr2h/3 For cylinder, radius is reduced by 4 times = r/4 And,  height is increased by 8 folds = 8h Volume of cylinder = πR2H = π(r/4)2 (8h) = (16/8)πr2h = πr2h/2 Ratio of volume of cone to volume of cylinder = (πr2h/3) : (πr2h/2) Or, Ratio = 2 : 3.

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Q:

Venu is the Son of Avani and Amit is the son of Avani's brother. How is Amit's Mother related to Venu?

A) Sister B) Maternal aunt
C) Paternal aunt D) Cousin
 
Answer & Explanation Answer: B) Maternal aunt

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Filed Under: Blood Relations

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Q:

If "+" means "minus", "x" means "divided by", "÷" means "plus" and "-" means "multiplied by", then
76 x 4 + 4 – 12 ÷ 37 = ?

A) 9 B) 7
C) 8 D) 3
 
Answer & Explanation Answer: C) 8

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Filed Under: Coding and Decoding
Exam Prep: Bank Exams , CAT

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Q:

Manik marks the price of his toys 40% above the cost price. If he allows 20% discount, then what is the profit or loss percentage?

A) 4% profit B) 12% profit  
C) 8% loss D) 12% loss
 
Answer & Explanation Answer: B) 12% profit  

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

In a certain code, "go home" is written as "ta na" and "nice little home" is written as "na ja pa". How is "go" written in that code?

A) ta B) na
C) ja D) na or ta
 
Answer & Explanation Answer: A) ta

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

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Q:

Mohit buys an old bicycle for Rs 2700 and spends Rs 500 on its repairs. If he sells the bicycle for Rs 3520, then what is his profit percentage?

A) 10 B) 12.5
C) 15 D) 20
 
Answer & Explanation Answer: A) 10

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

Sum of cubes of first n even natural numbers.

Answer

Proof of Sum of cubes of first n even natural numbers ::


sum_of_cubes_of_first_n_even_natural_numbers1556603651.png image


 


Hence, in other words, the sum of the first n cubes is the square of the sum of the first n natural numbers.

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Subject: Simplification Exam Prep: AIEEE , Bank Exams , CAT , GATE
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