Quantitative Aptitude - Arithmetic Ability Questions

Q:

2cos[(C+D)/2]sin[(C-D)/2] is equal to

A) sinC + sinD B) sinC - sinD
C) cosC - cosD D) cosC + cosD
 
Answer & Explanation Answer: B) sinC - sinD

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

The simplest form of 3565/1495 is

A) 31/13 B) 43/19
C) 23/13 D) 31/23
 
Answer & Explanation Answer: A) 31/13

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Q:

If  tan2A / (secA -­ 1)2 = x, then the value of x is

A) (1+cosecA) / (1­-cosecA) B) (1+cosA)(1-­cosA)
C) (1+cosA) / (1­-cosA) D) (1+cosecA)(1­-cosecA)
 
Answer & Explanation Answer: C) (1+cosA) / (1­-cosA)

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Q:

Dalajit lent Rs 10800 to Jaabir for 3 years and Rs 7500 to Kabir for 2 years on simple interest at the same rate of interest and received Rs 1422 in all from both of them as interest. The rate of interest per annum is

A) 3.5 percent B) 4 percent
C) 3 percent D) 4.5 percent
 
Answer & Explanation Answer: C) 3 percent

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Filed Under: Simple Interest
Exam Prep: Bank Exams

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Q:

In the following question, select the odd word from the given alternatives.

A) Teacher B) Justice
C) Lawyer D) Chef
 
Answer & Explanation Answer: B) Justice

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Filed Under: Odd Man Out
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Q:

Find the odd word/letters/numbers pair from the given alternatives.

A) Tomato B) Potato
C) Carrot D) Radish
 
Answer & Explanation Answer: A) Tomato

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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:

If A, B and C are denoting Mean, Median and Mode of a data and A : B = 9 : 8. Then the ratio of B : C is

A) 5:4 B) 8:9
C) 4:3 D) 7:6
 
Answer & Explanation Answer: C) 4:3

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams , CAT

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