Quantitative Aptitude - Arithmetic Ability Questions

Q:

A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?

A) 34 B) 40
C) 68 D) 88
 
Answer & Explanation Answer: D) 88

Explanation:

We have: l = 20 ft and lb = 680 sq. ft.

So, b = 34 ft.

Length of fencing = (l + 2b) = (20 + 68) ft = 88 ft.

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Q:

A large cube is formed from the material obtained by melting three smaller cubes of 3,4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?

A) 2 : 1 B) 3 : 2
C) 25 : 18 D) 27 : 20
 
Answer & Explanation Answer: C) 25 : 18

Explanation:

ke

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Q:

Which of the following year is a leap year?

A) 2500 B) 1700
C) 1900 D) 2400
 
Answer & Explanation Answer: D) 2400

Explanation:

NOTE: For a century year,it is divided by 400 and leaving a ramainder of 0 results a leap year.

So,2400 when divided by 400 leaves a remainder 0.

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Filed Under: Calendar

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Q:

A standard deck of playing cards has 13 spades. How many ways can these 13 spades be arranged?

A) 13! B) 13^2
C) 13^13 D) 2!
 
Answer & Explanation Answer: A) 13!

Explanation:

The solution to this problem involves calculating a factorial. Since we want to know how 13 cards can be arranged, we need to compute the value for 13 factorial.

 

13! = (1)(2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13) = 6,227,020,800

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Q:

A train travels 325 km in 3.5 hours and 470 km in 4 hours. Find the average speed of train ?

A) 107 kmph B) 106 kmph
C) 72 kmph D) 76 kmph
 
Answer & Explanation Answer: B) 106 kmph

Explanation:

As we know that Speed = Distance / Time
for average speed = Total Distance / Total Time Taken
Thus, Total Distance = 325 + 470 = 795 km
Thus, Total Speed = 7.5 hrs
Average Speed = 795/7.5 => 106 kmph.

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Filed Under: Time and Distance
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Analyst , Bank Clerk , Bank PO

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Q:

The sum of the digits of a two-digit number is 12. The difference of the digits is 6. Find the number ?

A) 57 B) 75
C) 48 D) 39
 
Answer & Explanation Answer: D) 39

Explanation:

Let the two-digit number be 10a + b
a + b = 12 --- (1)
If a>b, a - b = 6
If b>a, b - a = 6
If a - b = 6, adding it to equation (1), we get
2a = 18 => a =9
so b = 12 - a = 3
Number would be 93.
if b - a = 6, adding it to the equation (1), we get
2b = 18 => b = 9
a = 12 - b = 3.
Number would be 39.
There fore, Number would be 39 or 93.

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Filed Under: Problems on Numbers
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

In a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by

A) 5.4 m B) 4.5 m
C) 5 m D) 6 m
 
Answer & Explanation Answer: D) 6 m

Explanation:

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Filed Under: Races and Games

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Q:

What is the true discount on a bill of Rs.2916 due in 3 years hence at 8% C.I.?

A) Rs.600 B) Rs.601
C) Rs.602 D) Rs.603
 
Answer & Explanation Answer: C) Rs.602

Explanation:

PW = Amount1+R100T 

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Filed Under: True Discount
Exam Prep: Bank Exams
Job Role: Bank PO

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