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Q #16
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Quants Question

An unbiased die is thrown twice. Let the event A be ‘odd number on the first throw’ and B the event ‘odd number on the second throw’. Check the independence of the events A and B.

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Correct ans is A and B are independent events.

Q #17
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Quants Question

How many odd numbers less than 10,000 and using the digits 0, 2, 5, 9 exist? (Repetition of digits is allowed)

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Single-Digit Nos. = 2; 

2-Digit Nos. = 2 (Ways of selecting unit’s digit) x 3 (Ways of selecting ten’s digit as zero cannot be used) = 6; 3-digit Nos. = 2 (Ways of selecting unit’s digit) x 4 (Ways of selecting ten’s digit) x 3 (Ways of selecting hundred’s digit as zero cannot be used) = 24;

4-digit Nos. = 2 (Ways of selecting unit’s digit) x 4 (Ways of selecting ten’s digit) x 4 (Ways of selecting hundred’s digit) x 3 (Ways of selecting thousand’s digit as zero cannot be used) = 96;

Total = 2 + 6 + 24 + 96 = 128


Q #18
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Quants Question

A child has 4 pockets & 3 marbles. In how many can the child put marbles in its pockets?

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The first marble can go in any of the four pockets and so can the second and third marble.

Hence the total number of ways that three marbles can go in four pockets is 4 × 4 × 4 = 64 .


Q #19
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Quants Question

What is the probability that a 5 digit number made from digits 1, 2, 3, 4, 5 and 6 without repetition, is divisible by both 5 and 6, will be

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Divisible by 30. Not possible.

Q #20
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Quants Question

How many 5-digit positive integers exist the sum of whose digits are odd?

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