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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

If  tan2θ + cot2θ = 2, then what is the value of 2sec θ cosec θ?

A) 0 B) 1
C) 2 D) 4
 
Answer & Explanation Answer: D) 4

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Filed Under: Simplification
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Q:

What is the value of (1/√2) Cot 45° + (1/√3) Cosec 60°?

A) (√6 + 1)/√3 B) √3
C) (1 + 3√2)/√3 D) (3 + 2√2)/3√2
 
Answer & Explanation Answer: D) (3 + 2√2)/3√2

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Q:

A can paint a house in 55 days and B can do it in 66 days. Along with C, they did the job in 12 days only. Then, C alone can do the job in how many days?

A) 24 B) 44
C) 33 D) 20
 
Answer & Explanation Answer: D) 20

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Filed Under: Time and Work
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Q:

The ratio of the present ages of Aman and Ankit is 2 : 1 and the sum of their present ages is 72 years. What will be the Aman's age (in years) after 6 years?

A) 30 B) 48
C) 52 D) 54
 
Answer & Explanation Answer: D) 54

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Filed Under: Problems on Ages
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Q:

The average of 44 consecutive odd numbers is 144.What is the largest number?

A) 189 B) 191
C) 187 D) 193
 
Answer & Explanation Answer: C) 187

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Filed Under: Average
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Q:

20 pens and 46 pencils were purchased for Rs. 235. If the average price of a pencil is Rs. 2.50 then calculate the average price (in Rs.) of a pen.

A) 6 B) 4
C) 8 D) 12
 
Answer & Explanation Answer: A) 6

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Q:

What will be the net discount (in %) of two successive discounts of 15% and 35%?

A) 44.75 B) 51.25
C) 55.25 D) 56.25
 
Answer & Explanation Answer: A) 44.75

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Filed Under: Percentage
Exam Prep: Bank Exams

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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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Filed Under: Ratios and Proportions

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