Quantitative Aptitude - Arithmetic Ability Questions

Q:

If 3sinθ+4cosθ=5 (0<θ<90°) then the value of sinθ is

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

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Q:

If the selling price of an item is Rs 1000 after getting a discount of 20%, then what was the marked price (in Rs)?

A) 1200 B) 1250
C) 800 D) 1400
 
Answer & Explanation Answer: B) 1250

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Filed Under: Percentage
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Q:

When a number is increased by 216, it becomes 140% of itself. What is the number?

A) 540 B) 756
C) 450 D) 675
 
Answer & Explanation Answer: A) 540

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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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Q:

Sum of twice a fraction and its reciprocal is 17/6. What is the fraction?

A) 4/3 B) 5/4
C) 3/4 D) 4/5
 
Answer & Explanation Answer: C) 3/4

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Q:

Kishan cycled a distance of 120 km at a certain speed. If he cycled 2 km slower every hour, he would have taken 3 more hours to reach his destination. What is the speed in kmph at which Kishan actually cycled?

A) 15 B) 8
C) 12 D) 10
 
Answer & Explanation Answer: D) 10

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Filed Under: Time and Distance
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Q:

A sum of Rs 2489 is divided among A, B and C such that if Rs 12, Rs 12 and Rs 5 be diminish from the shares of A, B and C respectively, then theirshares will be in the ratio of 5 : 3 : 4. What is the new share (in Rs) of C?

A) 750 B) 1060
C) 1475 D) 820
 
Answer & Explanation Answer: D) 820

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Filed Under: Partnership
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Q:

The sum of the digits of a 2-digit number is 11. If we add 45 to the number, the new number obtained is a number formed by interchange of the digits. What is the number?

A) 83 B) 38
C) 64 D) 46
 
Answer & Explanation Answer: B) 38

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Filed Under: Problems on Numbers
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