Aptitude and Reasoning 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:

How much does a gallon of water weigh?

A) 2.741 kgs B) 2.956 kgs
C) 3.418 kgs D) 3.785 kgs
 
Answer & Explanation Answer: D) 3.785 kgs

Explanation:

1 Gallon = 3.785 kgs

Gallon is a unit of measurement of liquid.

We know that 1 gallon = 3.785 liters

But we know that,

1 cubic meter = 1000 lit or 1000 kgs

=> 1 lit = 1 kg

Hence,  1 gallon = 3.785 lit = 3.785 kgs.

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Filed Under: Arithmetical Reasoning
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Q:

In a certain code language "GASTRIC" is written as "UCIREKT". How will "DECEIVE" be written in that code language?

A) ACBCCTG B) ACACCTG
C) EGFCGXK D) BFCCTGL
 
Answer & Explanation Answer: C) EGFCGXK

Explanation:
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Filed Under: Coding and Decoding
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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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Filed Under: Percentage
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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:

Every rational number is an integer.

A) TRUE B) FALSE
Answer & Explanation Answer: B) FALSE

Explanation:

Any integer 'i' can be written as i = i/1, which is a rational number. Clearly, 7/2,-5/4, etc... are rational numbers but they are not integers.


Hence, from the above analysis, every integer is a rational number but a rational number need not be an integer.


 


Therefore the given statement that 'Every rational number is an integer' is FALSE.

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Subject: Arithmetical Reasoning
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Q:

If "+" means "minus", "x" means "divided by", "÷" means "plus" and "-" means "multiplied by", then 81 x 9 + 10 – 6 ÷ 5 = ?

A) 46 B) -46
C) 47 D) -45
 
Answer & Explanation Answer: B) -46

Explanation:
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Filed Under: Mathematical Operations
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Q:

What are the Multiples of 4?

Answer

The Multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40 upto 40. Mutiples of 4 means which can be divided by 4 leaving remainder '0'.


Common Multiples of 4 & 6 are 12, 24, 36, 48, 60 upto 60.

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Subject: Numbers Exam Prep: AIEEE , Bank Exams , CAT , GATE
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