Quantitative Aptitude - Arithmetic Ability Questions

Q:

$10,000 face value strip bond has 15 years remaining until maturity. If the prevailing market rate of return is 6.5% compounded semiannually, what is the fair market value of the strip bond?

A) 1710.29 B) 2710.29
C) 3710.29 D) 4710.29
 
Answer & Explanation Answer: C) 3710.29

Explanation:

i=j/m

n =m(Term) = 2(15.5)  =31

Fair market value  Present value of the face value

 =FV(1+  i)^-n

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Filed Under: Compound Interest
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4 5151
Q:

How many remainders are possible if 16n is divided by 9 for any positive integral value of n ?

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: C) 3

Explanation:

When 16nis divided by 9, we have

 1619, remainder = 7  

1629, remainder = 4 

1639, remainder = 1 

1649, remainder = 7 

1659, remainder = 4 

1669, remainder = 1 

So, we have cyclicity of 3 factors i.e 7,4,1. 

Hence only 3 remainders are possible.

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Filed Under: Numbers
Exam Prep: CAT
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7 5148
Q:

A sapphire ring with a marked price of $1800 is offered to the purchaser on the following terms: $200 deposit and the balance to be paid over 24 equal monthly instalments with interest charged at 11.5% p.a. flat rate. Find the monthly repayments

A) $53 B) $42
C) $62 D) $82
 
Answer & Explanation Answer: D) $82

Explanation:

Total repayment amount = $1600 + $368
= $1968
= $82

regular payment= total amount/number of repayments

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Filed Under: Simple Interest
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1 5147
Q:

If a quarter kg of carrots costs 60 paise, how many paise will 200 gms cost ?

A) 78 paise B) 48 paise
C) 54 paise D) 62 paise
 
Answer & Explanation Answer: B) 48 paise

Explanation:

Quarter of Kg means 250 gm

Less weight, less price (Direct Proportion)

So,

250 : 200 :: 60 : x => x = 48

So 200 gm will cost 48 paise.

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Filed Under: Chain Rule
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33 5146
Q:

Selling price of a cellphone is increased by 20%. For this sale is decreased by 30%. Find the effect of total sales?

A) 16% B) 14.5%
C) 12% D) 10.5%
 
Answer & Explanation Answer: A) 16%

Explanation:

Let cost of each cell phone = Rs.100 & Sale = 100 phones.

Money receipt = Rs.(100 x 100) = Rs.10,000

New cost per cellphone = Rs.120 and New sale = 70 phones

New Money Receipt = Rs.(70 x 120) = Rs.8400

Then the effect of sales = decrease in money receipt = 

160010000 x 100 = 16%.

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Filed Under: Profit and Loss
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14 5144
Q:

If A had worked alone he would have taken 63 hours to do the task. What is B's share, if A and B work together on a task finishing it in 36 hours and they get paid Rs 5,950 for it?

A) 3400 B) 3600
C) 2550 D) 2750
 
Answer & Explanation Answer: C) 2550

Explanation:
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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

3 + 653-212-30+50 = ?

A) 3 B) 3sqrt{2}
C) 6 D) None of these
 
Answer & Explanation Answer: D) None of these

Explanation:
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Filed Under: Square Roots and Cube Roots
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Q:

There are 15 lines in plane. How many intersections (Maximum) can be made ?

A) 55 B) 105
C) 215 D) 148
 
Answer & Explanation Answer: B) 105

Explanation:

First line will cut all other 14, similarly second will cut 13, and so on
Total = 14+13+12+11+10+9+8+7+6+5+4+3+2+1 = 105.

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Filed Under: Problems on Numbers
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