Quantitative Aptitude - Arithmetic Ability Questions

Q:

In what time will Rs. 3300 becomes Rs. 3399 at 6% per annum interest compounded half-yearly ?

A) Quarter months B) Half year
C) 2 years D) 1 year
 
Answer & Explanation Answer: B) Half year

Explanation:

3300 ----- 3% ↑ (1st time interval, 99) → 3399.

Here, time interval is given as half-yearly i.e. 6 months.

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Filed Under: Compound Interest
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Q:

A five-year promissory note with a face value of $3500, bearing interest at 11%  compounded semiannually, was sold 21 months after its issue date to yield the buyer 10% compounded quarterly.What amount was paid for the note

A) 4336.93 B) 5336
C) 6336 D) 7336
 
Answer & Explanation Answer: A) 4336.93

Explanation:

i=j/m

Maturity value = PV(1 + i)^n

Term = 5 years - 21 months=  3.25 years

Price paid = FV(1+ i )^-n

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Filed Under: Compound Interest
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Q:

0.002 * 0.5 = ?

A) 0.0001 B) 0.001
C) 0.01 D) 0.1
 
Answer & Explanation Answer: B) 0.001

Explanation:

2 * 5 = 10. Sum of decimal places =  4.

.002  * .5 = 0.0010 = 0.001 

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Filed Under: Decimal Fractions

16 8117
Q:

A woman says, "If you reverse my own age, the figures represent my husband's age. He is, of course, senior to me and the difference between our ages is one-eleventh of their sum." The woman's husband age is ?

A) 45 B) 24
C) 42 D) 54
 
Answer & Explanation Answer: D) 54

Explanation:

By trial and error method from the given options,

as 54 - 45 =  (1/11) x (45+54)  = 99/11  = 9

Hence this satisfies the given conditions.

Then the woman's husband age is 54.

 

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Filed Under: Problems on Ages
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10 8116
Q:

if logab+logba=loga+b,then

A) a + b = 1 B) a - b = 1
C) a = b D) ab=1
 
Answer & Explanation Answer: A) a + b = 1

Explanation:

 

if logab+logba=loga+b,then

loga+b=logab×ba=log 1

 

so, a+b=1

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Filed Under: Logarithms
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40 8113
Q:

The price of 2 oranges, 3 bananas and 4 apples is Rs. 15. The price of 3 oranges, 2 bananas and 1 apple is Rs. 10. What will be price of 4 oranges, 4 bananas and 4 apples  ?

A) Rs. 10 B) Rs. 15
C) Rs. 20 D) Rs. 25
 
Answer & Explanation Answer: C) Rs. 20

Explanation:

Let the Oranges be 'O', Bananas be 'B' and Apples be 'A'

From the given data,

 

2O + 3B + 4A = 15 ...... (I)

3O + 2B + A = 10 ..... (II)

On adding (I) and (II),

5O + 5B + 5A = 25

O + B + A = 5

4O + 4B + 4A = 20.

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Filed Under: Simplification
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Q:

Which calendar was used again in the year 1856?

A) 1828 B) 1850
C) 1830 D) 1852
 
Answer & Explanation Answer: A) 1828

Explanation:

Given year 1856, when divided by 4 leaves a remainder of 0.

NOTE: When remainder is 0, 28 is subtracted to the given year to get the result.

So, 1856 - 28 = 1828

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Filed Under: Calendar

9 8104
Q:

If 6 engines consume 24 metric tonnes of coal, when each is working 8 hours day, how much coal will be required for 9 engines, each running 13hours a day, it being given that 2 engines of former type consume as much as 3 engines of latter type ?

A) 45 metric tonnes B) 47 metric tonnes
C) 55 metric tonnes D) 34 metric tonnes
 
Answer & Explanation Answer: A) 45 metric tonnes

Explanation:

2 engines of former type for one hour consumes (2 x 24)/(6 x8) = 1 metric ton 

i.e. 3 engines of latter type consumes 1 ton for one hour

Hence 9 engines consumes 3 tons for one hour

For 15 hours it is 15 x 3 = 45 metric tonnes.

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Filed Under: Time and Work
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