Quantitative Aptitude - Arithmetic Ability Questions

Q:

Mr. X sold two properties P1 and P2 for Rs 1,00,000 each. He sold property P1 for 20% less than what he paid for it. What is the percentage of profit of property P2, so that he is not in gain or loss on the sale of two properties?

A) 33.33% B) 29.97%
C) 25% D) 22.22%
 
Answer & Explanation Answer: A) 33.33%

Explanation:

Let 'A' be the cost price of property P1.

Then from the given data, the selling price of P1 = Rs. 1,00,000

He got 20% loss on selling P1

A - 20A100 = 100000A = 1,25,000

Therefore, the amount he lossed on selling P1 = 25,000

As ge he got no loss or gain on sale of P1 and P2, the gain on selling P2 = 25,000

But the selling price of P2 = 1,00,000 => Cost price of P2 = 75,000

 

Hence, the profit percentage on P2 = GainCPx 100 = 2500075000x100 = 1003= 33.33%

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO , IT Trainer

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Q:

In how many ways, can zero or more letters be selected form the letters AAAAA?

A) 5 B) 6
C) 2 D) 8
 
Answer & Explanation Answer: B) 6

Explanation:

Selecting zero'A's= 1

Selecting one 'A's = 1

Selecting two 'A's = 1

Selecting three 'A's = 1

Selecting four 'A's = 1

Selecting five 'A's = 1

=> Required number ofways =6

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0 6234
Q:

The true discount on a certain sum of money due 3 year hence is Rs.100 and the S.I. on the same sum for the same time and at the same rate is Rs.120. Find the sum and the rate percent.

A) (6 + 2/3)% B) (5+ 2/3)%
C) (2+ 2/3)% D) (4+ 2/3)%
 
Answer & Explanation Answer: A) (6 + 2/3)%

Explanation:

Sum ⇒ Amount 

A = (SI x TD)/(SI - TD)

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

3 6233
Q:

First,second and third prizes are to be awarded at an engineering fair in which 13 exhibits have been entered.In how many different ways can the prizes be awarded?

A) 1736 B) 1716
C) 1216 D) 1346
 
Answer & Explanation Answer: B) 1716

Explanation:

13P3= 13!/10! = 1716

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1 6218
Q:

A and B started a business after investing Rs. 12,000 and Rs. 14,400 respectively. At the end of the year B gets 12% of the total profit as management fees and the rest amount is distributed between both the partners in the ratio of their investments. If total annual profit is Rs. 7,500, then find the difference between their profits.

A) Rs. 1250 B) Rs. 600
C) Rs. 900 D) Rs. 1500
 
Answer & Explanation Answer: D) Rs. 1500

Explanation:

From the given data,

Ratio of capital = 12000 : 14400 = 5 : 6

Required Difference = 

6 - 56 + 5 88100 x 7500 + 12100 x 7500= 111 x 88 x 75  + 12 x 75= 600 + 900= 1500

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Filed Under: Partnership
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

8 6218
Q:

In a triangle ABC, angle 'a' is the smallest one & A+7B = 112. Find the range of value 'c' ?

A) 138 to 164 B) 125 to 147
C) 148 to 158 D) 152 to 164
 
Answer & Explanation Answer: D) 152 to 164

Explanation:

A+7B=112

it is clear that A = 14, then it becomes A>=B, but A is smallest angle) given
so, range of A is 0.0001 to 13.9999 ( I am taking upto 4 decimal places)
so, range of B becomes 14 to 16 ( after rounding off to 4 decimal places)
so, range of C becomes 152 to 164 ( after rounding off to 4 decimal places)

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Filed Under: Numbers
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

8 6209
Q:

One side of a triangle has length 8 and a second side has length 5. Which of the following could be the area of the triangle?

A) 24 B) 20
C) 26 D) 34
 
Answer & Explanation Answer: B) 20

Explanation:

The maximum area of the triangle will come when the given sides are placed at right angles. If we take 8 as the base and 5 as the height the area = ½ x 8 x 5=20

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Filed Under: Volume and Surface Area
Exam Prep: GRE

2 6208
Q:

When 52416 is divided by 312, the quotient is 168. what will be the quotient when 52.416 is divided by 0.0168?

A) 3.12 B) 312
C) 3120 D) None of these
 
Answer & Explanation Answer: C) 3120

Explanation:

Given, 52416312=168 52416168=312 

 

Now , 52.4160.0168=5241616.8=52416168×10 =312×10=3120

 

 

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Filed Under: Decimal Fractions

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