# Data Interpretation - Caselets

Directions (Qs. 1 - 5): In city A and B there are four types of people living i.e. Writer, Painter, Singer, Dancer. Writer of city B is 20% more than the writer of A. Ratio of painter in city A and B is 7 : 5. Dancer at A is 14 less than painter at B and dancer at B is 28 less than the painter at A. Total dancer is 78. Difference of singer A and B is12. Ratio of singer of A and B is 17 : 13. Writer at B is 48.

1. What is ratio of total writer and painter in A with the total dancer and singer in B?

A) 112 : 12 B) 111 : 76      C) 110 : 81 D) 111 : 132 E) none

2. Total writer is what percent of total singer?

A) 97.78    B) 98.81    C) 93.23     D) 92.45    E) none

3. Find ratio of total people of A with total people of B.

A) 191 : 167    B) 193 : 197   C) 193 : 199    D) 197 : 179 E) none

4. Total painters in both A and B is how much percent more or less than the total singer?

A) 29    B) 33.33           C) 12.2     D) 25     E) none

5. What is difference between writer, painter, dancer at A together with the painter, dancer and singer at B?

A) 13    B) 23    C) 45    D) 15    E) none

Explanation: Writer in B is 48, which is 20% more than writer in A.

Let, painter in A is 7d and painter in b is 5d.

dancer in A = 5d − 14

dancer in B = 7d − 28

According to question,

5d − 14 + 7d − 28 = 78 or 12d = 120 ⇒ d = 10

In A painter is 70, dancer is 36.

In B painter is 50, dancer is 42.

Now singer in A is 17c and singer in B is

13c + 17c − 13c = 51 ⇒ c = 3 Singer in A is 51 and singer in B is 39.

 City Writer Painter Dancer Singer A      B 40      48 70       50 36     42 51      39

1-C; Total writer and painter in A is 40 + 70 = 110

Total dancer and singer in B is 42 + 39 = 81

So respective ratio is = 110 : 81.

2-A; Total writer is 40 + 48 = 88

Total singer is 51 + 39 = 90

3-D; Total people at A is 40 + 70 + 36 + 51 = 197

Total people at B is 48 + 50 + 42 + 39 = 179

So respective ratio is 197 : 179.

4-B; Total painter is 70 + 50 = 120

Total singer is 51 + 39 = 90

Painter is 120 − 90 = 30 more than singer.

So respective percentage is

5-D; Total no. of writer, painter, dancer in A is 40 + 70 + 36 = 146

Total no. of painter dancer, singer at B is 50 + 42 + 39 = 131

So the difference is 146 − 131 = 15

Directions (Qs. 6 - 10): In 2019, IBPS vacancy is 4420 which is 25% more than the CGL vacancy in 2018. In 2018 Railway vacancy is 12.5% less than the Railway vacancy in 2019. Total vacancy in 2019 is 15220 which is 25% more than the total vacancy of 2018. Total vacancy of IBPS and Railway in 2019 is 11900

6. What is average (approx) vacancy of 2018 in exam?

A) 4521    B) 7895    C) 4237 D) 5463 E) none

7. In 2020, IBPS vacancy decrease 25% than 2019 IBPS vacancy, where CGL is increase 25% than same in 2019, and Railway vacancy is same as 2018. What is total vacancy in 2020?

A) 19210   B) 12345      C) 21345 D) 13145 E) none

8. What is ratio of total IBPS vacancy (2018 + 2019) to the total Railway vacancy (2018 + 2019)?

A)1324 : 1456 B) 1321 : 1797 C) 1432 : 143 D) 1411 : 2805 E) none

9. What is the difference between Railway vacancy in 2018 and CGL vacancy in 2019?

A) 897 B) 987    C) 322 D) 935 E) none

10. In IBPS vacancy in 2019, after some time vacancy is decrease by 25%, later it increase by 20%. Then what is different of vacancy in first and now?

A) 442 B) 332  C) 334 D) 443 E) none

Explanation: IBPS vacancy in 2019 is 4420. CGL vacancy in 2018 is 25% less IBPS vacancy 2019

Total CGL vacancy in 2019 is 15220 − 11900 = 3320 Railway vacancy in 2019 is 11900 − 4420 = 7480.

Railway vacancy in 2018 is

Total vacancy in 2018 is

IBPS vacancy in 2018 is = 12716 − 6545 − 3536 = 2635

 Exam 2018 2019 IBPS               Railway                 CGL 2635    6545    3536 4420                   7480                   3320

6-C; Total vacancy in 2018 is 2635 + 6545 + 3536 = 12716

7-A; In 2020 IBPS vacancy is 25% decrease,

CGL vacancy is 25% increase 2020.

So total vacancy in 2020 is 3315 + 9350 + 6545 = 19210

8-D; Total IBPS vacancy is 4420 + 2635 = 7055

Total Railway vacancy is 6545 + 7480 = 14025

So the ratio = 7055 : 14025 = 1411 : 2805

9-D; So the difference 7480 − 6545 = 935

10-A; IBPS 2019 vacancy is 25% decrease than it increase 20%.

So, now vacancy is

So the difference is 4420 − 3978 = 442

Directions (Qs. 11 - 15): In college A, total teachers are 300, out of this 70% are asst. professors, rest of is lab asst. In college B total number of teachers is half of the teacher of A. At B, 80% is asst. professor. Total teacher at C is 10 less than no. of asst. professor at A. In college C, lab asst. is equal to the lab asst. of B. In college D, total lab asst. is 40, which 25% of total teacher.

11. What is difference between total asst. professor of A and B together and total lab asst. of C and D together?

A) 432    B) 342    C) 260 D) 234 E) none

12. In college D, 60% asst. professors are female where was 20% lab asst. are female. No. of total female in college D is?

A) 80    B) 67    C) 56    D) 68    E) none

13. In college B, out of the asst. professors some have Phd, some have not. So the ratio of Phd holder with the non Phd holder is 3 : 5. So the no. of Phd holder in college B is?

A) 43    B) 65    C) 76    D) 75    E) none

14. What is average of asst. professor of all the college together?

A) 123    B) 155   C) 134   D) 123    E) none

15. Lab asst. of A is how much more or less to the Lab asst. of D?

A) 123 B) 125    C) 122 D) 126 E) none

Explanation: Total teacher in college A is 300. Out of this 70% is asst. professors. So asst professors at A is 210, and lab asst. is 90. Total teacher at B is 150.

In B 80% is asst. professor. So asst. professor at B is 120. So lab asst is 30. Lab asst. in C is 30.

Total teacher at C is 210 − = 200.

So asst. professors at C is 170.

In college D, lab asst. is 40, which is 25% of total teacher.

Asst. professor at D is 120.

 College ASST. PROFESSOR LABASST. TOTAL A        B        C        D 210                               120                               170                               120 90      30      30      40 300     150     200     160

Posted Date : 07-08-2023

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