CAT 2017 – Slot 1 – Logical Reasoning and Data Interpretation – A study to look at the early teaming of rural kids was carried out in a number of villages -

CAT 2017 - Slot 1 - Logical Reasoning and Data Interpretation - A study to look at the early teaming of rural kids was carried out in a number of villages

A study to look at the early teaming of rural kids was carried out in a number of villages spanning three states, chosen from the North East (NE), the West (W) and the South (S). 50 four-year old kids each were sampled from each of the 150 villages from NE, 250 villages from W arid 200 villages from S. It was found that of the 30000 surveyed feds 55% studied in primary schools run by government (G), 37% in private schools (P) white the remaining 8% did not go to school (O). The kids surveyed were further divided into two groups based on whether their mothers dropped out of school before completing primary education or not. The table below gives the number of kids in different types of schools for mothers who dropped out- of school before completing primary education:
G P O Total
NE 4200 500 300 5000
W 4200 1900 1200 7300
S 5100 300 300 5700
Total 13500 2700 1800 18000

It is also known that: 1. In S, 60% of the surveyed kids were m G. Moreover, in S, all surveyed kids whose mothers had completed primary education were in school. 2. In NE, among the O kids, 50% had mothers who had dropped out before completing primary education. 3. The number of kids in G in NE was the same as the number of kids in G in W.

Q. 1: What percentage of kids from S were studying in P?
A) 37% B) 6% C) 79% D) 56%

Q. 2: Among the kids in W whose mothers had completed primary education, how many were not in school?
A) 300 B) 1200 C) 1050 D) 1500

Q. 3: In a follow up survey of the same kids two years later, it was found that all the kids were now in school. Of the kids who were not in school earlier, in one region, 25% were in G now, whereas the rest were enrolled in P; in the second region, all such kids were in G now; while in the third region, 50% of such kids had now joined G while the rest had joined P. As a result, in all three regions put together, 50% of the kids who were earlier out of school had joined G. It was also seen that no surveyed kid had changed schools.
What number of the surveyed kids now were in G in W?
A) 6000 B) 5250 C) 6750 D) 6300

Q. 4: In a follow up survey of the same kids two years later, it was found that all the kids were now in school. Of the kids who were not in school earlier, in one region, 25% were in G now, whereas the rest were enrolled in P; in the second region, all such kids were in G now; while in the third region, 50% of such kids had now joined G while the rest had joined P. As a result, in all three regions put together, 50% of the kids who were earlier out of school had joined G. It was also seen that no surveyed kid had changed schools.|
What percentage of the surveyed kids in S, whose mothers had dropped out before completing primary education, were in G now?
A) 94.7% B) 89.5% C) 93.4% D) Cannot be determined from the given information

Show Answer

Correct Answer:- A

Explanation:- With the table given for kids in different schools whose mothers had dropped out of school we will be adding another value for each value already present and the new value will represent the number of kids in different types of schools for kids whose mothers completed primary education.

300 + 3400 = 3700 students out of 10,000 from S were studying in P, i.e., 37%

QNo:- 2 ,Correct Answer:- A

	G		p		O		T
	Dropped out	Completed	Dropped out	Completed	Dropped out	Completed
NE	4200	1050	500	1150	300	300	7500
W	4200	1050	1900	3850	1200	300	12500
S	5100	900	300	3400	300	0	10000
Total	13,500	3000	2700	8400	1800	600	30000

In W, 300 kids whose mothers had completed primary education were not in school.

QNo:- 3 ,Correct Answer:- A

Explanation:-

With the table given for kids in different schools whose mothers had dropped out of school we will be adding another value for each value already present and the new value will represent the number of kids in different types of schools for kids whose mothers completed primary education.

	G		p		O		T
	Dropped out	Completed	Dropped out	Completed	Dropped out	Completed
NE	4200	1050	500	1150	300	300	7500
W	4200	1050	1900	3850	1200	300	12500
S	5100	900	300	3400	300	0	10000
Total	13,500	3000	2700	8400	1800	600	30000

As there were initially 2400 students who were not in school and now 1200 of them are in G, with the mentioned percentages the only possibility is 50% of students in W, 25% of students in NE and 100% of students in S who were not going to school shifted to G.

∴ 50% of W = 50% of 1500 = 750

25% of NE = 25% of 600 = 150

100% of S = 100% of 300 = 300

Total = 1200

∴ now 4200 + 1050 + 750 = 6000 students were in G is W.

QNo:- 4 ,Correct Answer:- A

	G		p		O		T
	Dropped out	Completed	Dropped out	Completed	Dropped out	Completed
NE	4200	1050	500	1150	300	300	7500
W	4200	1050	1900	3850	1200	300	12500
S	5100	900	300	3400	300	0	10000
Total	13,500	3000	2700	8400	1800	600	30000

As explained in the previous question, all 300 in S who were not going to school, now shifted to G. Now of the 5700 students whose mothers had dropped out in S regions, 5400 are in G.

Checkout Other Questions of CAT 2017 Slot 1 Paper:

Verbal Ability : | Q.01- Q.06 | Q.07- Q.12 | Q.13- Q.18 | Q.19- Q.21 | Q.22- Q.24 | Q.25- Q.29 | Q.30 – Q.34 |

Logical Reasoning : | Q.01- Q.04 | Q.05- Q.08 | Q.09- Q.12 | Q.13- Q.16 | Q.17- Q.20 | Q.21- Q.24 | Q.25 – Q.28 | Q.29 – Q.32 |

Quantitative Aptitude: | Q.01- Q.05 | Q.06- Q.10 | Q.11- Q.15 | Q.16- Q.20 | Q.21- Q.25 | Q.26- Q.30 | Q.31 – Q.34 |