Quantitative Aptitude - Arithmetic Ability Questions

Q:

The difference between compound interest and simple interest on a sum for two years at 8% per annum, where the interest is compounded annually is Rs.16. if the interest were compounded half yearly , the difference in two interests would be nearly

A) Rs.24.64 B) Rs.21.85
C) Rs.16 D) Rs.16.80
 
Answer & Explanation Answer: A) Rs.24.64

Explanation:

For 1st year S.I =C.I.

 

Thus, Rs.16 is the S.I. on S.I. for 1 year, which at 8% is thus Rs.200

 

i.e S.I on the principal for 1 year is Rs.200

 

Principle = Rs.100*2008*1 = Rs.2500

 

Amount for 2 years, compounded half-yearly

 Rs.2500*1+41004=Rs.2924.4

 

C.I = Rs.424.64

 

Also, S.I=Rs.2500*8*2100=Rs.400

 

Hence, [(C.I) - (S.I)] = Rs. (424.64 - 400) = Rs.24.64

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Filed Under: Compound Interest
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121 43774
Q:

If x2 + kx + k = 0 has no solution, then the value of k will satisfy

 

A) k < 4 B) k > -4
C) k > 4 D) 0 < k < 4
 
Answer & Explanation Answer: D) 0 < k < 4

Explanation:
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Filed Under: Simplification
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7 43770
Q:

The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is :

A) 100 B) 200
C) 300 D) 400
 
Answer & Explanation Answer: D) 400

Explanation:

Let the numbers be x and y.

 

Then, xy = 9375 and  x/y = 15.

 

xyxy=9375/15

 

=>y2 =625

 

=> y = 25

 

=> x = 15y = 15 x 25 = 375.

 

Sum of the numbers = 375 + 25 = 400.

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Filed Under: Problems on Numbers

35 43702
Q:

In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:

A) 21/46 B) 1/5
C) 3/25 D) 1/50
 
Answer & Explanation Answer: A) 21/46

Explanation:

Let , S -  sample space        E - event of selecting 1 girl and 2 boys. 

Then, n(S) = Number ways of selecting 3 students out of 25 

                = 25C3 

                = 2300.

n(E) = 10C1×15C2 = 1050. 

P(E) = n(E)/n(s) = 1050/2300 = 21/46

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Filed Under: Probability

106 43547
Q:

Suppose 0 < θ < 90, then for every θ 4 sin2 θ + 1 is greater than or equal to ?

 

A) 2 B) 4 sin θ 
C) 4 cos θ  D) 4 tan θ
 
Answer & Explanation Answer: B) 4 sin θ 

Explanation:
We know that,
Arithmetic mean ≥ Geometric mean
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Filed Under: Simplification
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6 43396
Q:

Which of the following statement(s) is/are true?

I. (65)1/6 > (17)1/4 > (12)1/3  II. (17)1/4 > (65)1/6 > (12)1/3   III. (12)1/3 > (17)1/4 > (65)1/6

A) Only I B) Only III
C) Only II D) None of these
 
Answer & Explanation Answer: B) Only III

Explanation:
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Q:

On 8th Dec, 2007 Saturday falls. What day of the week was it on 8th Dec, 2006?

A) Saturday B) Friday
C) Monday D) Tuesday
 
Answer & Explanation Answer: B) Friday

Explanation:

The year 2006 is an ordinary year. So, it has 1 odd day.

So, the day on 8th Dec, 2007 will be 1 day beyond the day on 8th Dec, 2006.

But, 8th Dec, 2007 is Saturday

S0, 8th Dec, 2006 is Friday.

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Filed Under: Calendar

183 43292
Q:

Simplify the following :

4 15 × 3 13 + ? = 20% of 120

A) 10 B) 24
C) 36 D) 40
 
Answer & Explanation Answer: A) 10

Explanation:

Given equation can be written as

215 x 103 + ? = 24=> 14 + ? = 24=> ? = 24 - 14=> ? = 10

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Filed Under: Simplification
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