Directions : Read the data carefully and answer the questions. Some data are…
2019
Directions : Read the data carefully and answer the questions. Some data are missing which you have to calculate as per information provided in the questions.
NOTE:- A duplicate applicant is an applicant who has submitted additional (duplicate) application after submitting their original application. All application forms (original + duplicate) received from duplicate applicant were rejected. Remaining all application were accepted. None of the applicants applied for more than one post.
For position A, if respective ratio between no. of accepted application from males & that of rejected applications from males is 5 : 3 & respective ratio of no. of accepted applications from females and that of rejected applications from females is 5 : 1 then find rejected applications from males.
- A.
230
- B.
315
- C.
425
- D.
255
- E.
300
Show answer & explanation
Correct answer: D
Concept
A duplicate applicant files one original form plus some additional (duplicate) forms, and all forms from such applicants are rejected; every other form is accepted. So the count of rejected forms equals (originals from duplicate applicants) + (their duplicate forms), and accepted = total received − rejected. When two sub-groups are given as ratios, assign one common unit to each ratio and use the known group totals to solve for the units.
Application of the concept
Duplicate forms from duplicate applicants = (duplicate applicants) × (average duplicates each) = 63 × 4 = 252.
Each duplicate applicant also filed 1 original, so originals from them = 63. Total rejected forms = 252 + 63 = 315 (all rejected).
Accepted forms = total received − rejected = 1040 − 315 = 725.
Let accepted males = 5a and rejected males = 3a (ratio 5 : 3); let accepted females = 5b and rejected females = b (ratio 5 : 1).
Accepted total: 5a + 5b = 725 ⇒ a + b = 145. Rejected total: 3a + b = 315.
Subtract the first from the second: (3a + b) − (a + b) = 315 − 145 ⇒ 2a = 170 ⇒ a = 85.
Rejected applications from males = 3a = 3 × 85 = 255.
Cross-check
With a = 85, b = 60: accepted males = 425 and accepted females = 300, summing to 725 ✓; rejected males = 255 and rejected females = 60, summing to 315 ✓. Both group totals reconcile, confirming the result is 255.