Quantitative Aptitude - Arithmetic Ability Questions

Q:

To cover a distance of 252 km in 2.5 hours what should be the average speed of the car in meters/second?

A) 100.8 m/s B) 50.4 m/s
C) 28 m/s D) 56 m/s
 
Answer & Explanation Answer: C) 28 m/s

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

Smita can finish a work in 12 days and Sam can finish the same work in 9 days. After working together for 4 days they both leave the job. What is the fraction of unfinished work?

A) 2/9 B) 1/4
C) 1/2 D) 7/9
 
Answer & Explanation Answer: A) 2/9

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

The simplified form of (4x + 3)2 . (3x - 5) - (4x3 - 12x2 + 9x - 20) is

A) 6x2- 48x - 50 B) 24x3 + 2x2 - 32x - 15
C) 44x3 + 4x2 - 102x - 25 D) 24x3 + 8x2 - 42x - 50
 
Answer & Explanation Answer: C) 44x3 + 4x2 - 102x - 25

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Filed Under: Square Roots and Cube Roots
Exam Prep: AIEEE , Bank Exams , CAT

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Q:

In what ratio should tea costing Rs 300/kg be mixed with tea costing Rs 200/kg so that the cost of the mixture is Rs 225/kg?

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

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

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Q:

Two equal circles intersect such that each passes through the centre of the other. If the length of the common chord of the circles is 10√3 cm, then what is the diameter of the circle?

A) 10 cm B) 15 cm
C) 20 cm D) 30 cm
 
Answer & Explanation Answer: C) 20 cm

Explanation:

Let there be 2 circles with centre O1 and OAB is the common chord

Since both passes through the center of each other as shown in figure

So O1O is the radius of both

Let O1O = r = AO1= AO

AX = AB / 2 = 5√3 cm (since OX perpendicular to chord bisects it)

AOO1 forms an equilateral triangle with on side = radius = r

Sin 60 = √3/2 = AX / AO = 5√3/r

So r = 10 cm

So diameter = 20 cm

 

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

What is the value of Cot 45°+ 1/3 Cosec 60°?

A) √3 + 2 B) (9 + 2√3)/9
C) √3 D) (2√2 + 3)/√6
 
Answer & Explanation Answer: B) (9 + 2√3)/9

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

At what point does the line 3x + 2y = 12 cuts the Y-axis?

A) (0, 6) B) (0, -6)
C) (6, 0) D) (-6, 0)
 
Answer & Explanation Answer: A) (0, 6)

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If 21% of an electricity bill is discounted, Rs 1817 is still to be paid. How much was the original bill amount?

A) Rs 1502 B) Rs 2336
C) Rs 2300 D) Rs 1538
 
Answer & Explanation Answer: C) Rs 2300

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Filed Under: Percentage
Exam Prep: Bank Exams

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