Quantitative Aptitude - Arithmetic Ability Questions

Q:

Cost price of 28 articles is equal to Sale price of 21 articles, then percentage of profit is

A) 12% B) 33 1⁄3 %
C) 20% D) 22%
 
Answer & Explanation Answer: B) 33 1⁄3 %

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

What is the simplified value of (1– sin A cos A)(sin A + cos A)?

A) sin2A – cos2A B) sin3A + cos3A
C) 0 D) 1
 
Answer & Explanation Answer: B) sin3A + cos3A

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If A : B = 1 : 4 and B : C = 2 : 3, then what is A : B : C?

A) 1 : 4 : 6 B) 2 : 8 : 7
C) 2 : 8 : 5 D) 1 : 4 : 5
 
Answer & Explanation Answer: A) 1 : 4 : 6

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

0 is the circumference of a triangle ABC. The point A and the chord BC are on the opposite side of O. If BOC=150° then the value of BAC is

A) 65° B) 60°
C) 70° D) 75°
 
Answer & Explanation Answer: D) 75°

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If a = 299, b = 298, c = 297 then the value of 2a3 + 2b3 + 2c3 - 6abc is

A) 5154 B) 5267
C) 5364 D) 5456
 
Answer & Explanation Answer: C) 5364

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

What is the simplified value of cosec 2A + cot 2A?

A) sec A B) sec (A/2)
C) cot A D) cot2 A
 
Answer & Explanation Answer: C) cot A

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Filed Under: Simplification
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Q:

The ratio of present ages of Ratna and Shantanu is 5:4. After 19 years the ratio of their ages will be 10:9. What is Ratna's present age?

A) 19 B) 15
C) 9 D) 72
 
Answer & Explanation Answer: A) 19

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

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Q:

The sum of length, breadth and height of a cuboid is 22 cm and the length of its diagonal is 14 cm.
What is the surface area of the cuboid?

A) 288 sq.cm B) 216 sq.cm
C) 144 sq.cm D) Cannot be determined due to insufficient data
 
Answer & Explanation Answer: A) 288 sq.cm

Explanation:
Let lengths, breadth and height of cuboid be l, b and h respectively
According to question
l+b+h = 22cm......(i)
and
√(l^2+b^2+h^2) = 14cm .....(ii)
Surface area of cuboid = 2(lb+bh+lh)
Squaring eq (i) gives
l2+b2+h2+ 2(lb+bh+lh) = 484
Substituting l^2+b^2+h^2 from eq (i)
2(lb+bh+lh) = 484 -196 = 288 sq.cm
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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