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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

The value of 2 Tan53°Cot37°-Cot80°Tan10° ?

A) 3 B) 2
C) 1 D) 0
 
Answer & Explanation Answer: C) 1

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Filed Under: Simplification
Exam Prep: Bank Exams

0 2033
Q:

In the given figure, PQR is a triangle and quadrilateral ABCD is inscribed in it. QD = 2 cm, QC = 5 cm, CR = 3 cm, BR = 4 cm, PB = 6 cm, PA = 5 cm and AD = 3 cm. What is the area in sq.cm of the quadrilateral ABCD?

A) (23√21)/4 B) (15√21)/4
C) (17√21)/5 D) (23√21)/5
 
Answer & Explanation Answer: C) (17√21)/5

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Filed Under: Area
Exam Prep: Bank Exams

0 2033
Q:

The marked price of an article is Rs. 5000. But due to a special festive offer a certain percent of discount is declared. Mr. X availed this oppurtunity and bought the article at reduced price. He then sold it at Rs. 5000 and thereby made a profit of 11 1/9%. The percentage of discount allowed was?

A) 10 B) 10/3
C) 15/2 D) 100/9
 
Answer & Explanation Answer: A) 10

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Filed Under: Percentage
Exam Prep: Bank Exams

4 2032
Q:

Two bottles contain acid and water in the ratio 2 : 3 and 1 : 2 respectively. These are mixed in the ratio 1 : 3. What is the ratio of acid and water in the new mixture ?

A) 7:13 B) 11:57
C) 23:37 D) 1:3
 
Answer & Explanation Answer: A) 7:13

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

5 2032
Q:

A and B can do a piece of work in 24 and 30 daysrespectively. Both started the work and worked for 6 days.Then B leaves the work and C joins and the remaining workis completed by A and C together in 11 days. Find the days in which C alone can do the work

A) 80 B) 100
C) 120 D) 130
 
Answer & Explanation Answer: C) 120

Explanation:

(1/24 + 1/30) x 6 + (1/24 + 1/C) x 11 = 1

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Filed Under: Time and Work
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

0 2031
Q:

If Sin x = 4/5, then Cosec x + Cot x =

A) 31/12 B) 35/12
C) 2 D) 1/2
 
Answer & Explanation Answer: C) 2

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Filed Under: Simplification
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1 2031
Q:

Each question contains Quantity I and Quantity II. Read the contents clearly and answer your questions accordingly.

Quantity I: if the length of a rectangle is increased by 20% while the breadth of the rectangle is decreased by 10% then find percentage change in area of the rectangle?

Quantity II: if the side of a triangle is increased by 30% while the height of a triangle is decreased by 20% then find the percentage change in area of the triangle?

A) Quantity I > Quantity II B) Quantity I ≥ Quantity II
C) Quantity I< Quantity II D) Quantity I < Quantity II
 
Answer & Explanation Answer: A) Quantity I > Quantity II

Explanation:

Quantity I= 20% - 10% - (20*10/100) % = +8%

Quantity II= 30% - 20% - (30*20/100)% = +4%

Hence Quantity I > Quantity II

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Filed Under: Percentage

0 2031