Quantitative Aptitude - Arithmetic Ability Questions

Q:

There is a square field of area ‘X’ square meters. A cylindrical ditch of radius 7 meters and depth 2 meters is dug, and the earth is taken out and spread over the remaining part of the square field, the height of square field which goes up by 0.77 meters. What is the value of ‘X’ ? 

A) 548 sq. m B) 524 sq. m
C) 518 sq. m D) 554 sq. m
 
Answer & Explanation Answer: D) 554 sq. m

Explanation:

Volume of the cylindrical ditch = πrxrh = 22/7 ×7×7×2 = 308 sq.m

Area of remaining field = (X −πrxr) sq.m

= (X − 154)

ATQ –

(X – 154) ×0.77 = 308

(X – 154) = 400

X= 554 sq.m

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Filed Under: Area
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Q:

Raman spends 80% of his income. If his income is increased by 25% and the expenditure increase by 10%, then what will be the percentage increase in his savings?

A) 17 B) 70
C) 77 D) 85
 
Answer & Explanation Answer: D) 85

Explanation:
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Q:

Average age of 20 students is 21 years. 2 students leave the group and 1 new student joins the group. The average now becomes 20 years. If age of one of the student who left the group is 26 years and the one who joined is 20 years, then what is the age (in years) of the other student who left the group?

A) 20 B) 14
C) 22 D) 16
 
Answer & Explanation Answer: B) 14

Explanation:
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Filed Under: Average
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Q:

A, B and C are three students. A got 36% less marks than B and 16% more marks than C. If B got 145 marks, then what are the marks got by C?

A) 120 B) 110
C) 80 D) 75
 
Answer & Explanation Answer: C) 80

Explanation:
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Q:

In the given figure, ,PQRS is a square whose side is 8 cm. PQS and QPR are two quadrants. A circle isplaced touching both the quadrants and the square as shown in the figure. What is the area (in sq.cm) of the circle?

A) 13/17 B) 11/14
C) 19/31 D) 15/19
 
Answer & Explanation Answer: B) 11/14

Explanation:
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Q:

In the year 2016, there were 52 weeks and P days. Find the value of P

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

Explanation:
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Filed Under: Calendar
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Q:

A man's annual income has increased by Rs 5 lakhs but the tax on income that he has to pay has reduced from 12% to 10%. He now pays Rs 10,000 more income tax. What is his increased income (in Rs lakhs)?

A) 20 B) 25
C) 15 D) 10
 
Answer & Explanation Answer: B) 25

Explanation:
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Q:

A thief drives his motor cycle at a speed of x kmph. The Policemen started chasing him in a jeep after 4 hrs and catches in 4 hrs. If the speed of jeep of policemen is 40 kmph, then calculate the speed of thief's motorcycle in kmph?

A) 30 B) 36
C) 45 D) 20
 
Answer & Explanation Answer: D) 20

Explanation:

Given that, speed of thief motorcycle is x kmph .

 

Given that, policemen started chasing him after 4 hours and catches him in 4 hours.

Distance travelled by the thief in 4 + 4 = 8 hours is d = s t 

=> d = 8x kms

 

Distance covered by the police in 4 hours is

D = 4 x 40 = 160 kms

 

To catch the thief, distance covered by the thief is equal to distance covered by the police .

 

Therefore,

d = D

 

d = 8x = 160 

x = 160/8 = 20

x = 20 kmph

 

Hence, the speed of thief's motorcycle is 20 km/hr.

 

 

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Filed Under: Time and Distance
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