Aptitude and Reasoning Questions

Q:

If cos 60° - sec 30° = x, then the value of x is

A) 1 B) (√3+√2)/2
C) (√3-4)/2√3 D) 1/√2
 
Answer & Explanation Answer: C) (√3-4)/2√3

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Q:

In the following question assuming the given statements to be true, find which of the conclusion among given conclusions is/are definitely true and then give your answers accordingly.

Statements: C ≤ R ≤ N = M ≥ F; Q ≥ M < O; D ≥ L; C ≥ D ≤ S ≥ Z

Conclusions:

i. R ≤ F

ii. C < Q

A) None is true B) Only I is true
C) Only II is true D) Either I or II is true
 
Answer & Explanation Answer: A) None is true

Explanation:

Given statements: C ≤ R ≤ N = M ≥ F; Q ≥ M < O; D ≥ L; C ≥ D ≤ S ≥ ZOn combining: C≤ R ≤ N = M < O; F ≤ M = N ≥ R ≥ C ≥ D ≤ S ≥ ZConclusions:i. R ≤ F→False (as F ≤M = N ≥R→clear relation between R and F cannot be Determined)ii. C < Q→false (as C ≤R ≤N = M ≤Q→C≤Q)Therefore,None is true

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Q:

A shopkeeper purchased a chair whose marked price is Rs 1400, at two successive discount of 20% and 30% respectively. If he sells the chair for Rs 1176, then what is the profit percentage?

A) 50 B) 33.33
C) 37.5 D) 57.5
 
Answer & Explanation Answer: A) 50

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

Present age of Anil and Rajesh are in the ratio of 11 : 6 respectively. 9 years ago, their ages were in the ratio of 7 : 3. If the Pankaj’s present age is 1/4 of the Anil’s present age, then what is the Pankaj’s present age (in years)?

A) 9 B) 22
C) 13 D) 11
 
Answer & Explanation Answer: D) 11

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

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Q:

In an isosceles trapezium ______.

A) Opposite sides are parallel B) Opposite angles are supplementary
C) Opposite angles are not equal D) Diagonals bisect opposite angles
 
Answer & Explanation Answer: B) Opposite angles are supplementary

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.

1,2,4,7,?,16

A) 14 B) 8
C) 11 D) 15
 
Answer & Explanation Answer: C) 11

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Filed Under: Number Series
Exam Prep: Bank Exams

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Q:

If 5x/2 - [7(6x - 3/2)]/4 = 5/8, then what is the value of x?

A) 1/4 B) -1/4
C) 4 D) -4
 
Answer & Explanation Answer: A) 1/4

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Consider the given statement/s to be true and decide which of the given conclusions/assumptions can definitely be drawn from the given statement. 

Statements :

1. All fish are tortoise.
2. No tortoise is a crocodile.

Conclusion :

I. No crocodile is a fish.
II. No fish is a crocodile

A) Only conclusion I follows B) Only conclusion II follows
C) Both conclusions I & II follows D) Neither conclusion I nor II follows
 
Answer & Explanation Answer: C) Both conclusions I & II follows

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Filed Under: Statement and Conclusions
Exam Prep: Bank Exams

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