Instructions

For the following questions answer them individually

Question 41

Four children A, B, C and D are having some chocolates each.
A gives B as many as he already has, he gives C twice of what C already has and he gives D thrice of what D already has.
Now, D gives (1/8)th of his own chocolates to B.
Then A gives 10% chocolates he now owns to C and 20% to B.
Finally, all of them have 35 chocolates each. What is the original number of chocolates each had in the beginning?

Video Solution

Solution

Let A, B, C, D have a, b, c, d chocolates respectively initially.

D gets thrice as many as he already has from A which makes a total of 4d chocolates with D.

He gives one-eigth of that to B which leaves D with 3.5d Chocolates.

Now 3.5 d = 35 => d = 10

Now, A has given b, 2c, 3d chocolates to B, C, D respectively at first which left him with (a-b-2c-3d) chocolates.

Then he gave 10% of the remaining chocolates to C and 20% to B.

He finally has 0.7(a-b-2c-3d) chocolates.

0.7(a-b-2c-3d) = 35

=>(a-b-2c-3d) = 50 = k (say)

C got 2c chocolates at first and then again 10% of 'k' from A.

C finally has 3c + 0.1k = 35

=> c = 10

B got b chocolates at first and then again 20% of 'k' from A and 0.5d from D.
B finally has 2b + 0.5d + 0.2k = 35

=> b = 10

For A, 0.7(a-b-2c-3d) = 35

=> a = 110

Question 42

There are two similar figures below with some numbers. The left one is complete where as one number is missing in the right one. Find a suitable number to fill in place of the question mark.

Video Solution

Solution

102+9+90 = 201

203+70+7 =280

Question 43

Complete the following series by replacing the ? :
(TBLD, VEPI, XHTN, ?)

Video Solution

Solution

In the 3 given terms, the 1st letters have 1 letter between them -> TUV , VWX

the 2nd letters have 2 letters between them -> BCDE , EFGH

Similarly, the 3rd letters have 3 letters between them and the 4th letters have 4 letters between them.

So, the next term of the series will be ZKXS.

Question 44

In a cricket team, three batsmen Ricky, Sachin and Brian are the top three run-scorers in any order. Each of them gives two replies to any question, one of which is true and the other is false, again, in any order. When asked about who the top scorer was, following were the replies they gave:
Sachin : I got the top score. Ricky was second.
Brian : I got the top score. Sachin was second.
Ricky : I got the top score. Sachin was third.
Which of the following is the correct order of batsmen who got the top score, second best and third best score respectively?

Video Solution

Solution

Let us name the statements-

S1: I got the top score.

S2: Ricky was second.

B1: I got the top score.

B2: Sachin was second.

R1: I got the top score.

R2: Sachin was third.

Case 1:

Let S1 be true. That means B1 and R1 are false because only one of them can be 1st.

If S1 is true, S2 has to be false; meaning Ricky was 3rd.

So, the order we get as of now is Sachin, Brian, Ricky.

R2 says Sachin was 3rd but both R1 and R2 cannot be false. So, this case is rejected.

Case 2:

Let R1 be true. Then R2 is false meaning Sachin was second. So the order we get as of now is Ricky, Sachin, Brian.

If R1 is true, S1 and B1 are false. If S1 is false, S2 has to be true. But Ricky cannot be second.

So, this case is also rejected.

Case 3:

Let B1 be true. Then B2 is false meaning Sachin was third. So the order we get as of now is Brian, Ricky, Sachin.

Both R1 and S1 are false as B1 is true. R2 and S2 are true and support the order we got.

Question 45

60 employees in an office were asked about their preference for tea and coffee. It was observed that for every 3 people who prefer tea, there are 2 who prefer coffee. For every 6 people who prefer tea, there are 2 who drink both of tea and coffee. The number of people who drink both is the same as those who drink neither.
How many people drink both tea and coffee?

Video Solution

Solution

Let number of people who prefer tea =3k

those who prefer = 2k

those who like both =k

5k = 60

=> k=12

Question 46

A clock strikes once at 1 o'clock, twice at 2 o'clock and so on. If it takes 6 seconds to strike at 3 o'clock, how much time will it take to strike at 9 o'clock?

Video Solution

Solution

The clock strikes thrice at 3.

There are two intervals between 3 strikes. For nine strikes there will be 8 intervals.

2 intervals take 6 seconds. => 8 intervals will take 24 seconds.

Instructions

E-1, E-2 and E-3 are three engineering students writing their assignments at night. Each of them starts at a different time and completes at a different time. The digit in their name and the order of their starting and completing the assignment is certainly not the same. The last student to start is the first to complete the assignment.

Question 47

Who is the first student to start writing the assignment?

Video Solution

Solution

E3 cannot start last as his name has number 3 and E1 cannot finish 1st as his name has number 1. So the one starting last and finishing 1st will be E2. Then E3 will start 1st as E1 cannot.

Question 48

Who is the last student to complete the assignment?

Video Solution

Solution

E3 cannot start last as his name has number 3 and E1 cannot finish 1st

as his name has number 1. So the one starting last and finishing 1st

will be E2. Then E3 will start 1st as E1 cannot. E3 cannot finish 3rd, so E1 will.

Instructions

A, B and C are three students from Don School and P, Q and R are three students fro Elite School. Q is brighter than R but duller than the Don School student who is brighter than A. The same Don School student is duller than P but is brighter than C.

Question 49

Who is brightest amongst all?

Video Solution

Solution

From the given statements, let us rank students from brightest to dullest from left to right. Let the Doon school student be K.

From the first condition, we get K,A,Q,R in order.

From the second condition, we get P,K,C,A,Q,R.

So P is the brightest.

Question 50

Who is the dullest amongst the three students from Elite School?

Video Solution

Solution

From the given statements, let us rank students from brightest to dullest from left to right. Let the Doon school student be K.

From the first condition, we get K,A,Q,R in order.

From the second condition, we get P,K,C,A,Q,R.

So R is the dullest.

CAT Content

SNAP 2010 Question Paper

There are two similar figures below with some numbers. The left one is complete where as one number is missing in the right one. Find a suitable number to fill in place of the question mark.

Complete the following series by replacing the ? :
(TBLD, VEPI, XHTN, ?)

A clock strikes once at 1 o'clock, twice at 2 o'clock and so on. If it takes 6 seconds to strike at 3 o'clock, how much time will it take to strike at 9 o'clock?

Who is the first student to start writing the assignment?

Who is the last student to complete the assignment?

Who is brightest amongst all?

Who is the dullest amongst the three students from Elite School?

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