Quantitative Aptitude - Arithmetic Ability Questions

Q:

Working together A and B can do a job in 40 days, B and C in 36 days and all three together in 24 days. In how many days can B alone do the job?

A) 60 B) 90
C) 72 D) 120
 
Answer & Explanation Answer: B) 90

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Filed Under: Time and Work
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Q:

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

A) IMX B) DHS
C) GWK D) KOZ
 
Answer & Explanation Answer: C) GWK

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

If x+1x:x-1x=5:3 then the value of x is

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

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Q:

If a - b = 10 and ab =-21, then what is the value of a3-b3 ?

A) 316 B) 370
C) 185 D) 158
 
Answer & Explanation Answer: B) 370

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Q:

If a2b+c=b2C+a=a2a+b=1 then 11+a+11+b+11+c is

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

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Q:

A person crosses a 900 metres wide road in 120 seconds. What is his speed (in km/hr)?

A) 24 B) 21
C) 36 D) 27
 
Answer & Explanation Answer: B) 21

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Filed Under: Time and Distance
Exam Prep: Bank Exams , CAT

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Q:

Azhar is 4 times as good a workman as Balaraj and therefore is able to finish a job in 45 days less than Balaraj. Working together, they can do it in:

A) 6 days B) 18 days
C) 24 days D) 12 days
 
Answer & Explanation Answer: D) 12 days

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Filed Under: Time and Work
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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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