Exams


Q:

The probability that a number selected at random from the first 100 natural numbers is a composite number is  ?

A) 3/2 B) 2/3
C) 1/2 D) 34/7
 
Answer & Explanation Answer: A) 3/2

Explanation:

The number of exhaustive events = 100 C₁ = 100.

We have 25 primes from 1 to 100.

Number of favourable cases are 75.

Required probability = 75/50 = 3/2.

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Filed Under: Probability
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13 6901
Q:

abcdefghijklmnopqrstuvwxyz Riddle

What sentence contains all abcdefghijklmnopqrstuvwxyz?

Answer

The Quick Brown Fox Jumped Over The Lazy Dog  is the sentence which contains all 26 alphabets i.e, from a to z.

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14 6901
Q:

The ratio of K’s and M’s ages is 4: 5. If the difference between the present age of M and the age of K, 5 years hence is 3 years, then what is the difference and total of present ages of K and M?

A) 8, 72 yrs B) 16, 65 yrs
C) 12, 84 yrs D) 10, 60 yrs
 
Answer & Explanation Answer: A) 8, 72 yrs

Explanation:

Let the present ages be K,M

Given K/M = 4/5

5K - 4M = 0 ......(1)

Also given that,

M - (K + 5) = 3

M - K = 8 .........(2)


Then, by solving (1) & (2)

M = 40 yrs and K = 32 yrs

Hence, Total of ages = 40 + 32 = 72 yrs

Difference of ages = 40 - 32 = 8 yrs.

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3 6900
Q:

54, 60  LCM is

A) 600 B) 540
C) 60 D) 54
 
Answer & Explanation Answer: B) 540

Explanation:

Here the LCM of 54, 60 is

 

=> 2 x 3 x 3 x 3 x 10

= 6 x 9 x 10

= 54 x 10

540.

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Filed Under: HCF and LCM
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27 6898
Q:

A chartered bank offers a five-year Escalator Guaranteed Investment Certificate.In successive years it pays annual interest rates of 4%, 4.5%, 5%, 5.5%, and 6%, respectively, compounded at the end of each year. The bank also offers regular five-year GICs paying a fixed rate of 5% compounded annually. Calculate and compare the maturity values of $1000 invested in each type of GIC. (Note that 5% is the average of the five successive one-year rates paid on the Escalator GIC.)

A) 1276.28 B) 1234
C) 1278 D) 1256
 
Answer & Explanation Answer: A) 1276.28

Explanation:

FV = $1000(1.04)(1.045)(1.05)(1.055)(1.06) = $1276.14

 the maturity value of the regular GIC is

 

 FV = $ 1000 x 1.055=  $1276.28

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Filed Under: Compound Interest
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4 6897
Q:

The fastest growing plant is ______ ?

A) Ashoka B) Banyan
C) Eucalyptus D) Rose
 
Answer & Explanation Answer: C) Eucalyptus

Explanation:
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Filed Under: General Science
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32 6893
Q:

There are 5 multiple choice questions in an examination. How many sequences of answers are possible, if the first three questions have 4 choices each and the next two have 6 choices each?

A) 1112 B) 2304
C) 1224 D) 2426
 
Answer & Explanation Answer: B) 2304

Explanation:

Number of questions = 5
Possibilities of choices for each question 1 to 5 respectively = 4, 4, 4, 6, 6


Reuired total number of sequences

= 4 x 4 x 4 x 6 x 6

= 2304.

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Filed Under: Permutations and Combinations
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Q:

Which statement fits the Frontier Ethic?

A) Recycle plastic B) Help those in need
C) He who has more toys wins D) Walk lightly on Earth
 
Answer & Explanation Answer: C) He who has more toys wins

Explanation:

Frontier Ethic is Spending Earth's assets at the cost of losing resource capital. A frontier ethic assumes that the earth has an unlimited supply of resources. It is the notion of disregarding the Earth for the benefit or gain of man.

If resources run out in one area, more can be found elsewhere or alternatively human ingenuity will find substitutes. This attitude sees humans as masters who manage the planet. It is completely Anthropocentric.

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Filed Under: General Science
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10 6892