Quantitative Aptitude - Arithmetic Ability Questions

Q:

 83% of 2350 = ?

A) 1889.95 B) 1912.35
C) 1875.25 D) 1950.50
 
Answer & Explanation Answer: D) 1950.50

Explanation:
83% of 2350 = ?
 
83/100 x 2350
 
=8.3 x 235
 
=1950.50
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Q:

Watson bought a book for Rs. 240 and sold to Johny at a profit  of 50%. Johny wants to sell this book to Shekar so that he earns a profit of 25%. But Shekar is adamant at buying this book at a discount of 10%. What marked price should Johny quote to Shekar so as to achieve desired profit ?

A) Rs. 450 B) Rs. 360
C) Rs. 415 D) Rs. 500
 
Answer & Explanation Answer: D) Rs. 500

Explanation:

Watson bought the book for Rs. 240 and sold to Johny at a profit of 50%.

S.P = C.P(1 + P%/100)

=> S.P for Watson = C.P for Johny = 240(1 + 50/100) = 240 x 1.5 = Rs. 360

Let Johny quoted the marked price of the book as Rs. M

We know, SP = M.P(1 - Discount(%)/100)

Here discount = 10% to Shekar,

S.P for Johny = M(1 - 10/100) = 0.9M

But Johny want to earn 25% profit,

=> S.P = C.P(1 + P%/100)

=> 0.9M = 360(1 + 25/100)

=> M = (360x1.25)/0.9

=> M = Rs. 500

Therefore, Johny should quote Rs. 500 as the marked price of the book to get 25% profit and allowing 10% discount to Shekar.

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Filed Under: Profit and Loss
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7 5516
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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2 5509
Q:

Joel travels the first 3 hours of his journey at 60 mph speed and the remaining 5 hours at 24 mph speed. What is the average speed of Joel's travel in kmph ?

A) 38 kmph B) 40 kmph
C) 60 kmph D) 54 kmph
 
Answer & Explanation Answer: C) 60 kmph

Explanation:

Average speed = Total distance / Total time.

Total distance traveled by Joel = Distance covered in the first 3 hours + Distance covered in the next 5 hours.

Distance covered in the first 3 hours = 3 x 60 = 180 miles
Distance covered in the next 5 hours = 5 x 24 = 120 miles

Therefore, total distance traveled = 180 + 120 = 300 miles.

Total time taken = 3 + 5 = 8 hours.

Average speed = 300/8 = 37.5 mph.

we know that 1 mile = 1.6 kms

=> 37.5 miles = 37.5 x 1.6 = 60 kms

Average speed in Kmph = 60 kmph.

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2 5501
Q:

If 6th March, 2005 is Monday, what was the day of the week on 6th March, 2004?

A) Tuesday B) Wednesday
C) Sunday D) Friday
 
Answer & Explanation Answer: C) Sunday

Explanation:

The year 2004 is a leap year. So, it has 2 odd days.

But, Feb 2004 not included because we are calculating from March 2004 to March 2005.

So it has 1 odd day only.

The day on 6th March, 2005 will be 1 day beyond the day on 6th March, 2004.

Given that, 6th March, 2005 is Monday.

6th March, 2004 is Sunday (1 day before to 6th March, 2005).

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Filed Under: Calendar

8 5500
Q:

M, N and O can complete the work in 18, 36 and 54 days respectively. M started the work and worked for 8 days, then N and O joined him and they all worked together for some days. M left the job one day before completion of work. For how many days they all worked together?

A) 4 B) 5
C) 3 D) 6
 
Answer & Explanation Answer: B) 5

Explanation:

Let M, N and O worked together for x days.

From the given data,
M alone worked for 8 days
M,N,O worked for x days
N, O worked for 1 day

But given that
M alone can complete the work in 18 days
N alone can complete the work in 36 days
O alone can complete the work in 54 days

The total work can be the LCM of 18, 6, 54 = 108 units

M's 1 day work = 108/18 = 6 units
N's 1 day work = 108/36 = 3 units
O's 1 day work = 108/54 = 2 units

Now, the equation is
8 x 6 + 11x + 5 x 1 = 108
48 + 11x + 5 = 108
11x = 103 - 48
11x = 55
x = 5 days.

Hence, all M,N and O together worked for 5 days.

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Filed Under: Time and Work
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3 5496
Q:

What is 70 of 50?

A) 35 B) 38
C) 42 D) 44
 
Answer & Explanation Answer: A) 35

Explanation:

what is 70 of 50 means 70% of 50

 

70 x 50100= 7 x 5= 35

 

Hence, 70 of 50 is 35.

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Filed Under: Percentage
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6 5491
Q:

The value of log3437 is :

A) 1/3 B) -3
C) -1/3 D) 3
 
Answer & Explanation Answer: A) 1/3

Explanation:

log3437log73713log77We know that logxx = 1=> 13

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Filed Under: Logarithms
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12 5490