Instructions

For the following questions answer them individually

Question 61

Nalini, her brother, her daughter and her son are tennis players and are playing game of doubles. Their positions on the court are as follows: Nalini's brother is directly across the net from her daughter. Her son is diagonally across the net from the worst player's sibling. The best player and the worst players are on the same side of the net. Who is the best players?

Video Solution

Solution

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Case 1:

If the worst player is Nalini, then her son is diagonally across the worst player's sibling i.e. her brother who is the best as the best and the worst are on the same side of the net.

Case 2:

If the worst player is Nalini's son, then he is diagonally across the worst player's sibling which is his sister and we get case 2. In this case also the best player is Nalini's brother.

Question 62

In certain code language 'PROMOTION' is written as 'QSP89'. How will you write 'DEMOTION'?

Video Solution

Solution

We see that in word PROMOTION

P---> Q

R--->S

O--->P

MOTION --->89

Hence for DEMOTION the coding will be

D--->E

E--->F

MOTION--->89

EF89 is the correct answer

Question 63

Study this matrix.
In this game there are two players. The first player can split the matrix vertically into two equal halves and choose one half for further play. The next move on this half is by the other player who will be split it only horizontally and choose one half for further play. The game will continue in this manner. At the end, the last number left is the first player's gain. If you start the game, retain the right half and, again right half after your opponent's move, then how should your opponent play to minimize your gain?

Video Solution

Solution

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Question 64

What is the next letter in the series?
U, F, Q, J, M, N

Video Solution

Solution

Let us write the order at which the letters come in the alphabetical series:

U - 21

F - 6

Q - 17

J - 10

M - 13

N - 14

Here, alternate numbers are in A.P. with a common difference of 4.

Like, 21-17-13 and 6-10-14

to continue 21-17-13-9 , next letter in the series will be 'I'.

Question 65

Sonal, a mathematician defines a number as 'connected by 6' if it is divisible by 6, or if the sum of digits is 6, or if 6 is one of the digits of the number.Other numbers are 'not connected by 6'. As per the definition, the number of integers, from 1-60 (both inclusive) which are not connected with 6 is

Video Solution

Solution

For the number to be connected to 6 it has to be either

(i) Divisible by 6 which are : 6,12,18,24,30,36,42,48,54,60

(ii) Has 6 as their digits which are : 6,16,26,36,46,56,60

(iii) Sum of digit has to be 6 which are : 6,15,24,33,42,51,60

Here we see that 6,24,36,42,60 are repeated. Overall there are 17 numbers that are connected to 6. Thus 60-17 = 43 is the required answer

Question 66

Leena, Nitin, Arun and Mohan crossed a lake in a canoe that could hold only two persons. The Canoe held two persons on each of three forward trips across the lake and one person on each of two return trips. Leena was unable to paddle when someone else was in the canoe with her. Nitin was unable to paddle when anyone else except Arun was in the canoe with him. Each person paddle continuously for at least one trip. Who paddled twice?

Video Solution

Solution

On the first trip, Nitin and Arun crossed the river with Nitin paddling the canoe.

Arun came back alone with the canoe.

On the second trip, Arun and Leena crossed the river, with Arun paddling.

Leena came back alone in the canoe.

On the last trip, Leena and Mohan crossed the river, with Mohan paddling.

Thus, Arun is the only one who paddled twice.

Hence, the answer is option D.

Question 67

A, B, C, D, E, F and G are the members of a family consisting of 4 adults and 3 children, two of whom, F and G are girls, A and D are brothers and A is doctor. E is an engineer married to one of the brothers and has two children. B is married to D and G is their child. Who is C?

Video Solution

Solution

It is given that B is married to D and their child is G. Also, E is married to the one of the 2 brothers A and D. As D is married to B, E is obviously married to A. That leaves us with F and C. It is also said that E has two children. So, we can clearly infer that the 2 children are F and C.

Now, it is given that there are 3 children of whom only 2 are girls i.e. F and G. This means sex of C is male.

C is A and E's son.

Question 68

If every alternative letter of English Alphabet from B onwards (including B) is written in lower case (small letters) and the remaining letters are capitalized, then: How will be the first month of the second half of the year be written?

Video Solution

Solution

B onwards all alternate alphabets are written in lower case. The alphabets will look like this

AbCdEfGhIjKlMnOpQrStUvWxYz

First month of second-half of year is July which will be written as jUlY

Question 69

A rich merchant had collected many gold coins. He did not want anybody to know about them. One day, his wife asked, "How many gold coins do we have?" After pausing a moment he replied, "Well! If I divide the coins into two unequal numbers, then 48 times the difference between the two numbers equals the difference between the squares of the two numbers." The wife looked puzzled. Can you help the merchant's wife by finding out how many gold coins the merchant has?

Video Solution

Solution

Let $$x$$ and $$y$$ be the 2 unequal number in which he divides the gold such that x>y.

Total coins with him = $$x+y$$

As per the merchant

$$48\left(x-y\right)\ =\ x^2-y^2$$

$$48\left(x-y\right)\ =\left(x-y\right)\left(x+y\right)$$

Either $$x+y = 48$$ or $$ x=y$$(rejected as it is given that they are unequal

hence merchant has 48 coins.

Question 70

An enterprising businessman earns an income of Rs 1 on the first day of his business. On every subsequent day, he earns an income which is just double of that made on the previous day. On the 10th day of business, his income is

Video Solution

Solution

For Day 1 his income was = Rs 1

For Day 2 his income was = Rs 1*2 = Rs. 2

For Day 3 his income was = Rs 2*2 = Rs 4 = Rs 1 * $$2^2$$

Similarly for nth day his income = Rs 1* $$2^{n-1}$$

Hence for 10th day his overall income is Rs 1*$$2^{10-1}$$ = $$2^9$$

CAT Content

SNAP 2006 Question Paper

In certain code language 'PROMOTION' is written as 'QSP89'. How will you write 'DEMOTION'?

What is the next letter in the series?
U, F, Q, J, M, N

A, B, C, D, E, F and G are the members of a family consisting of 4 adults and 3 children, two of whom, F and G are girls, A and D are brothers and A is doctor. E is an engineer married to one of the brothers and has two children. B is married to D and G is their child. Who is C?

If every alternative letter of English Alphabet from B onwards (including B) is written in lower case (small letters) and the remaining letters are capitalized, then: How will be the first month of the second half of the year be written?

An enterprising businessman earns an income of Rs 1 on the first day of his business. On every subsequent day, he earns an income which is just double of that made on the previous day. On the 10th day of business, his income is

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