Logical Reasoning Capsules - Edwin Jose, CAT DILR 100 Percentiler - Set 7
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DIRECTIONS: Answer the questions on the basis of the information given below.
A class of 1000 students, comprising boys and girls, is divided into three sections, named as A, B and C. The ratio of boys to girls in the class is 9: 11. The following table shows the percentage of boys and girls in each of the sections.
(1) Based on the above information, which of the following is true?
(a) p = q
(b) p < q
(c) p > q
(d) Data Insufficient(2) If the number of students in section C is 600, then what is the value of 3q + 2p?
(a) 265
(b) 235
(c) 225
(d) Data Insufficient(3) If the ratio of the number of students in Section A: Section B: Section C is 1: 3: 6, then what is the ratio of the number of girls in Section C: Section B: Section A?
(a) 7 : 6 : 2
(b) 4 : 12 : 39
(c) 78 : 24 : 8
(d) None of theseSolutions
(1) Option B
The ratio of boys to girls in the class is 9 : 11.
So the percentage of boys is 45% and the percentage of girls is 55% in the class.
As the overall percentage of boys is 45% and in sections A and B it is 60% each, the value of p < 45.
Similarly, as the overall percentage of girls is 55% and in sections A and B it is 40% each, the value of q > 55.
∴p < q(2) Option A
Number of students in section C = 600
∴ the number of students in sections A and B together is 400.
The ratio of the number of student in
(Section C)/((Section A Section B ))=3/2Value of 3q + 2p = q + 2(p + q) = q + 2 × 100= 200 + q
By alligation:
(55-40)/(q-55)=3/2
3q = 195
q = 65
3q + 2p = 200 + q = 265(3) Option C
Number of girls in:
Section A = 40
Section B = 120
Section C = 390
∴ The ratio of girls in Section C : Section B : Section A
= 39 : 12 : 4
= 78 : 24 : 8Directions: Answer the following questions on the basis of information given below:
There are six people Akhil, Beena, Chetan, Dheeraj, Ekta and Feroz who are to be seated on six chairs numbered 1 to 6, each facing North, with 1 being the chair lying on the extreme left and 6 on the extreme right. Some other information is also given regarding their seating plan.
- Chetan is sitting to the right of Akhil and Ekta.
- Beena is sitting to the left of Dheeraj.
- Ekta is sitting immediately to the left of Feroz.
- Dheeraj is not sitting in any of the two rightmost positions.
(1) How many positions are possible for Akhil?
(a) 2
(b) 3
(c) 4
(d) 5(2) If there are exactly two people between Beena and Feroz, who is sitting second from the left?
(a) Beena
(b) Dheeraj
(c) Either (a) or (b)
(d) None of theseA, C, E and F can be arranged amongst themselves in two ways:
A EF C ----------(1)
EF A C ----------(2)
Now when B and D are also put into these two arrangements, there would be 3 cases in each arrangement.
Now when B and D are also put into these two arrangements, there would be 3 cases in each arrangement.
B D A E F C ................ 1a
B A D E F C ................ 1b
A B D E F C ................ 1c
B D E F A C ................ 2a
B E F D A C ................ 2a
E F B D A C ................ 2c(1) Option C
Akhil can sit in 4 different positions - 1, 2, 3, 5 (from the left).(2) Option C
There are two such cases - 1c and 2a.
