Quantitative Aptitude - Arithmetic Ability Questions

Q:

In the given figure, two identical circles of radius 4 cm touch each other. A and B are the centres of the two circles. If RQ is a tangent to the circle, then what is the length (in cm) of RQ?

A) 3√3 B) 2√6
C) 4√2 D) 6√2
 
Answer & Explanation Answer: C) 4√2

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Q:

On a certain date, Pakistan has a success rate of 60% against India in all the ODIs played between the two countries. They lost the next 30 ODIs in a row to India and their success rate comes down to 30%. The total number of ODIs played between the two countries is

A) 50 B) 45
C) 60 D) 30
 
Answer & Explanation Answer: C) 60

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Q:

A dealer marks a washing machine for Rs. 7500, and allows a discount of 6% on it. Find the selling price

A) 6850 B) 7050
C) 7250 D) 6950
 
Answer & Explanation Answer: B) 7050

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Q:

Two numbers are 90% and 75% lesser than a third number. By what % should the first number be increased so that it becomes equal to the second number?

A) 250 B) 200
C) 150 D) 100
 
Answer & Explanation Answer: C) 150

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Q:

On dividing 24a2b2 by 6b2, we will get

A) 4b B) 4ab
C) 4 D) 4a2
 
Answer & Explanation Answer: D) 4a2

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Q:

Monthly salaries of Pia and Som are in the respective ratio of 5: 4. Pia, from her monthly salary, gives th to her mother. 15% towards her sister’s tuition fees, 18% towards a loan and she shops with the remaining amount which was Rs. 2,100. What is the monthly salary of Som ?

A) Rs.25,000 B) Rs.30,000
C) Rs.15,000 D) Rs.20,000
 
Answer & Explanation Answer:

Explanation:

Let monthly salary of Pia = Rs.500x => Monthly salary of Som = Rs.400x Amount given by Pia to her mother = 3/5 * 500x = 300x Amount for her sister tuition fees = 15*500x/100 = 75x Amount for loan = 18*500x/100 = 90x => Amount left = 500x −(300x +75x +90x) = 2100 => 500x - 465x = 35x = 2100 => x = 2100/35 = 60 Therefore, Som's salary = 400 x 60 = Rs. 24,000

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Q:

If 50 less had applied and 25 less selected, the ratio of selected to unselected would have been 9 : 4. So how many candidates had applied if the ratio of selected to unselected was 2 : 1.

A) 125 B) 250
C) 375 D) 500
 
Answer & Explanation Answer: C) 375

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Q:

If 1/(tanA + cotA) = x, then value of x is

A) cosAsinA B) cos2Asin2A
C) cosecAsecA D) cosec2Asec2A
 
Answer & Explanation Answer: A) cosAsinA

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