Free Practice Questions for Competitive Exams, Interviews, Certifications

Q:

The last two digits of $2151^{415}$ ?

A) 81	B) 61
C) 91	D) 51

Answer & Explanation Answer: D) 51

Explanation:

Unit digit of this expression is always 1 as the base ends with 1.

For the tenth place digit we need to multiply the digit in the tenth place of the base and unit digit of the power and take its unit digit.

i.e, tenth place digit in 2151 is 5 and

tenth place digit in power 415 is 1

And the units digit in the product of 5 x 1 = 5

Therefore, last two digits of $2151^{415}$ is 51.

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Filed Under: Mathematical Operations
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23 4701

Q:

A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?

A) 34	B) 40
C) 68	D) 88

Answer & Explanation Answer: D) 88

Explanation:

We have: l = 20 ft and lb = 680 sq. ft.

So, b = 34 ft.

Length of fencing = (l + 2b) = (20 + 68) ft = 88 ft.

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Filed Under: Volume and Surface Area

2 4700

Q:

The Simon commission visited India in the year?

A) 1933	B) 1939
C) 1921	D) 1927

Answer & Explanation Answer: D) 1927

Explanation:

The British government appointed a commission under the chairmanship of Sir John Simon to report on India's constitutional progress for introducing constitutional reforms as had been promised in 1927.

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Filed Under: Indian History
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5 4699

Q:

Maneela, Raghu and Aravind have some jems with each of them. Five times the number of jems with Raghu equals seven times the number of jems with Maneela while five times the number of jems with Maneela equals seven times the number of jems with Aravind. What is the minimum number of jems that can be there with all three of them put together ?

A) 108	B) 107
C) 109	D) 110

Answer & Explanation Answer: C) 109

Explanation:

From given data,

R : M = 5 : 7

M : A = 5 : 7

R : M : A = 25 : 35 : 49

25 + 35 + 49 = 109

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Filed Under: Ratios and Proportions
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15 4699

Q:

The following equation is incorrect. Which two signs should be interchanged to correct the equation?

40 ÷ 8 x 5 + 15 - 2 = 30

A) ÷ and -	B) + and ÷
C) - and +	D) x and -

Answer & Explanation Answer: D) x and -

Explanation:

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Filed Under: Coding and Decoding
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1 4699

Q:

An Assertion (A) and a Reason (R) are given below.

Assertion (A) : Clothes are not washed properly in hot water.

Reason (R) : Hard water contains many minerals.

A) A is true but R is false	B) A is false but R is true
C) Both A and R are true and R is the correct explanation of A	D) Both A and R are true but R is not the correct explanation of A

Answer & Explanation Answer: D) Both A and R are true but R is not the correct explanation of A

Explanation:

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Filed Under: Statement and Conclusions
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0 4699

Q:

The first Buddhist Council was held in which of the following cities

A) Nalanda	B) Gaya
C) Rajgriha	D) Bodh Gaya

Answer & Explanation Answer: C) Rajgriha

Explanation:

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Filed Under: Indian History

2 4698

Q:

What is the difference between the compound interests on Rs. 5000 for $1 \frac{1}{2}$ years at 4% per annum compounded yearly and half-yearly?

A) Rs.3.06	B) Rs.2.04
C) Rs.3.65	D) Rs.5.40

Answer & Explanation Answer: B) Rs.2.04

Explanation:

C.I. when interest compounded yearly

$R s . [5000 * (1 + \frac{4}{100}) * (1 + \frac{\frac{1}{2} * 4}{100})]$

$R s . [5000 * \frac{26}{25} * \frac{51}{50}]$

=Rs.5034

C.I. when interest iscompounded half-yearly

$R s . [5000 * {(1 + \frac{2}{100})}^{3}]$

= Rs. 5306.04

Difference = Rs. (5306.04 - 5304) = Rs. 2.04

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Filed Under: Compound Interest
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1 4697

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