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Q #11
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Quants Question

Directions : These questions are based on the data given below.

There is a number of the format pqrpqr , where p q & r are the digits of the number . What is the least number of prime numbers it is certainly divisible by ?

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Solution : Pqrpqr= pqr x 1001 1001 = 7 x 11 X 13 234 X 1001 = 234234 23 X 1001 = 23023

Q #12
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Quants Question

Directions: Refer the following data to answer the questions given below.

The batting average (BA) of a test batsman is computed from runs scored and innings played— completed innings and incomplete innings (not out) in the following manner: r1 = number of runs scored in completed innings n1 = number of completed innings r2 = number of runs scored in incomplete innings n2 = number of incomplete innings. (r1 + r2 ) BA = n1 To better assess a batsman’s accomplishments, the ICC is considering two other measures MBA1 and MBA2 defined as follows: MBA1 = r1 + n2 + max [0, (r2 ? r1) ] n1 n1 n2 n1 (r1 + r2 ) MBA2 = (n1 + n2 ) Based on the information provided which of the following is true?

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Visual question. Notice that the difference between BA and MBA is in the denominator. Since the denominator in MBA2 is higher, it implies that this quantity must be smaller. But MBA1 could be greater than MBA2 but less than BA. Hence statement (d) is correct.

Q #13
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Quants Question

Directions: Read the following information to answer the question.

A and B undertake to do a piece of work for Rs 600. A alone can do it in 6 days while B alone can do it in 8 days. With the help of C, they can finish it in 3 days, Find the share of C?

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Solution:

C’s one day’s work =(1/3)−(1/6+1/8)=1/24

Therefore, A:B:C = Ratio of their one day’s work =1/6:18:1/24

=4:3:1

A’s share =Rs.600×(4/8)=300

B’s share =Rs.600×(3/8)=225

C’s share =Rs[600−(300+225)]= Rs 75


Q #14
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Quants Question

Directions: Read the following information to answer the question.

Sara, Kyna, Riddhi can complete the work W1, W2, W3 alone in 6, 9 and 15 days respectively. If (Kyna, Riddhi), (Riddhi, Sara) and (Sara, Kyna) can do the work W1, W2, W3 respectively in n days each, then n lies in
+

Solution:

If the amount of work done per day by Sara, Kyna, Riddhi per day are S/6, K/9, R/15 then K/9 + R/15 = S/n, R/15 + S/6 = K/n and S/6 + K/9 = R/n.

Eliminating S, K and R we get n^3 + 15n^2 = 405.  How? Can you use determinants here and get this in just 1 step?

Let f(n) = n^3 + 15n^2 - 405 -> and is an increasing function for n > 0, f(4.5) < 0 and f(5) > 0.


Q #15
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Quants Question

Directions: Read the following information to answer the question.

Anuj, Bibhuti and Chandu can lay 432 m of wires together in 8 days. In a day, Chandu can lay as many more meters of wire than Bibhuti as Bibhuti can lay more than Anuj. Chandu’s 5 days of work is equivalent to Anuj’s 7 days of work. How many meters of wire can Anuj alone lay in a day?

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Length of wire all 3 of them can lay in a day = 432/8 = 54 m
On an average, 54/3 = 18 m will be laid by each which as per question should be the length Bibhuti can lay in a day.
Therefore, Anuj = 18 – x ; Chandu = 18 + x
Given,
7 * (18 – x) = 5 * (18 + x)
126 – 7x = 90 + 5x
=> 36 = 12x
=> x = 3
Therefore, Anuj in a day = 18 – 3 = 15 m