Aptitude and Reasoning Questions

Q:

If tanA -­ tanB = X, then the value of X is

A) (tanA + tanB)/(1 -­ tanAtanB) B) (tanA + tanB)/(1 + tanAtanB)
C) (tanA -­ tanB)/(1-­ tanAtanB) D) (tanA -­ tanB)/(1 + tanAtanB)
 
Answer & Explanation Answer: D) (tanA -­ tanB)/(1 + tanAtanB)

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Filed Under: Simplification
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Q:

In the following question, four number pairs are given. The number on left side of (–) is related to the number of the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

A) 31 – 33 B) 33 – 35
C) 37 – 39 D) 35 – 39
 
Answer & Explanation Answer: D) 35 – 39

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Filed Under: Odd Man Out
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Q:

ABCD is a quadrilateral with AB = 9 cm, BC = 40 cm, CD = 28 cm, DA = 15 cm and angle ABC is a right –angel
What is the area of quadrilateral ABCD?

A) 300 SQ.CM   B) 306 SQ.CM
C) 312 SQ.CM D) 316 SQ.CM
 
Answer & Explanation Answer: D) 316 SQ.CM

Explanation:
Area of quadrilateral ABCD = area of triangle ADC + area of triangle ABC
= 126 + ½ * 9 * 40 = 306
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Filed Under: Volume and Surface Area
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Q:

Given that tan(θ + 15°) = √3. Then the value of θ is?

A) 15° B)  75°
C) 45° D) 65°
 
Answer & Explanation Answer: C) 45°

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Q:

The incomes of S and T are in the ratio 3 : 4 and their expenditures are in the ratio 1 : 1. If S saves Rs 4000 and T saves Rs 22000, then what will be the income (in Rs) of S?

 

A) 45000 B) 54000
C) 60000   D) 65000
 
Answer & Explanation Answer: B) 54000

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

For triangle PQR, find equation of altitude PS if co­-ordinates of P, Q and R are (6,2), (0,3) and (­-4,5) respectively?

A) 2x -­ y = 14 B) 2x + y = 10
C) 2x -­ y = 10 D) 2x + y = 14
 
Answer & Explanation Answer: C) 2x -­ y = 10

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Q:

What is the equation of the line whose y-intercept is -3 and makes an angle of 45° with the positive x-axis?

A) x - y = -3 B) x + y = 3
C) x - y = 3 D) x + y = -3
 
Answer & Explanation Answer: C) x - y = 3

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Filed Under: Area
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Q:

The average weight of P, Q and R is 71 kg. If the average weight of P and Q be 66 kg and that of Q and R be 76.5 kg, then the weight (in kg) of Q is.

A) 60 B) 72
C) 81 D) 75
 
Answer & Explanation Answer: B) 72

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Filed Under: Average
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