CSAT DAILY MISSION #78

Examine the information given below and answer the questions that follow:

Five males A, B, C, D, E and four females P, Q, R, S are to be divided into three teams of three people each. The teams are designated as the Daredevils team, the Royals team and the Kings team.
– C, D and E must be captains of their respective teams.
– A and B cannot be in the same team.
– P and E cannot be in the same team.
– R has to be n a team containing either A or D or both.
– R must be in the Daredevils team.

Question 1

Which of these pairs can be on the same team as P?

(A) A and D

(B) D and E

(D) Q and R

Question 2

Any of the following pair of students can be on the Daredevils team, except

(A) A and E

(B) C and D

(D) D and S

Question 3

If E is the only male in his team, which of the following pairs can be the other members of his team?

(A) P and Q

(B) R and S

(D) S and Q

Question 4

If A and E are on the Royals team, which of the following is not an acceptable assignment of students for the other two teams?

(A) Daredevils: B,D,R ; Kings: C,P,S

(B) Daredevils: D,P,R ; Kings: B,C,S

(D) Daredevils: Q,R,D ; Kings: S,C,B

Question 5

A vessel is filled with liquid, four parts of which are water and seven parts are syrup. How much of the mixture must be drawn off and replaced with water, so that he mixture may be half water and half syrup?

(A) 14/33

(B) 33/14

(D) 1/11

N.B. Please note that the official timings for publication of these questions is 11 am daily.

SOLUTIONS TO DAILY CSAT MISSION # 78

1. (A) 2. (A) 3. (D) 4. (A) 5. (C)

Explanations
1. “Same straight line but not together” means the the hands of the clock point in exactly opposite directions i.e. they are 180 degrees apart.
Consider, understand and remember this fact: In one hour, the minute hand covers 360 degrees but the hour hand only covers 30 degrees. So, the minute hand gains 330 degrees over the hour hand every hour.
Now, at 9 o’clock, the difference between the hands is 90 degrees. We need to find the time when the difference is 180 degrees.
330 degrees are gained by the minute hand over the hour hand in 60 minutes. It needs another 90 degrees to gain 180 degrees over the minute hand. So, it will gain this additional 90 degrees in 60/330*90 minutes i.e. 16.36 minutes.

2. M and K are the 13th and 11th alphabets. The numerator and denominator are the squares of these numbers. If MK = 13²/11², then JH = 10²/8².

3. The following will be the standing arrangement of the kids:

4. Any side of a cube has four adjoining sides.
Consider side K: From the first view, two of its adjoining sides are A and B. From the second view, the remaining two of its adjoining sides are M and H. So, the side opposite to it is P.
Consider side B: From the first view, two of its adjoining sides are A and K. From the third view, the remaining two of its adjoining sides are P and H. So, the side opposite to it is M.
This leaves A and H as the remaining two sides opposite to each other.

5. If a date in a year is Friday, the same date the next year will be the next day i.e. Saturday. In case of February 29 coming in between, that date the next year will be two days hence i.e. Sunday.
Remember that all the years divisible by 100 but not divisible by 400 (like 1100, 1400, 300 or 700 etc) are NOT leap years. Years divisible by 400 (like 1200, 2000 or 2400 etc) are leap years.
December 17 1899: Saturday
December 17 1900: Sunday
December 17 1901: Monday
December 22 1901: Saturday