Quantitative Aptitude - Arithmetic Ability Questions

Q:

The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ratio of the number of boys to the number of girls in the class is:-

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

Explanation:

Let the ratio be x : y
Total boys = 16.4 X x
Total girls = 15.4 X y
Total number of students in class = 16.4x + 15.4y
The average age of all students is 15.8
The total age of boys is 15.8x
The total age of girls is 15.8y
16.4x + 15.4y = 15.8x + 15.8y
0.6 x = 0.4 y
x/y = 0.4/0.6 = 2/3

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

What is the value of Sin 30° - Cosec 45°?

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

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

The solution set of 4x - 3y = 47 and 3x + y = 32 is

A) {(15, 3)} B) {(4, 12)}
C) {(11, -1)} D) {(12, 3)}
 
Answer & Explanation Answer: C) {(11, -1)}

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Find the value of 777777?

A) 73164 B) 7164
C) 76364 D) 7764
 
Answer & Explanation Answer: C) 76364

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

The average revenues of 13 consecutive years of a company is Rs 78 lakhs. If the average of first 7 years is Rs 73 lakhs and that of last 7 years is Rs 85 lakhs, what is the revenue for the 7th year?

A) Rs 94 lakhs B) Rs 90 lakhs
C) Rs 88 lakhs D) Rs 92 lakhs
 
Answer & Explanation Answer: D) Rs 92 lakhs

Explanation:
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Filed Under: Average
Exam Prep: Bank Exams

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Q:

The average of marks obtained by 100 candidates in a certain examination is 30. If the average marks of passed candidates is 35 and that of the failed candidates is 10, what is the number of candidates who passed the examination?

A) 60 B) 70
C) 80 D) 90
 
Answer & Explanation Answer: C) 80

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Filed Under: Average
Exam Prep: Bank Exams

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Q:

Karteek is twice as good a foreman as Raju and together they finish a piece of work in 20 days. In how many days will Raju alone finish the work?

A) 40 B) 60
C) 80 D) 50
 
Answer & Explanation Answer: B) 60

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams

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Q:

35% of an alloy was silver. If in the quantity of alloy there was 119 g of silver, what was the quantity of the elements in the alloy?

A) 273 g B) 204 g
C) 221 g D) 340 g
 
Answer & Explanation Answer: C) 221 g

Explanation:
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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

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