SERIES 11 Test Booklet Serial No - Bharatstudent.com

(2) 98.4 metres
(3) 88.4 metres
(4) 78.4 metres
11. A final year MBA student gets 50% in the exam and 80% in the assignments. If the exam
should count for 70% of the final result and the assignment for 30%, what will be the final
score of the student, if professors decide to use weighted harmonic mean to uneven
performances?
(1) 56.34%
(2) 60.53%
(3) 64.83%
(4) 66.59%
12. While investigating the case of recent blasts in Delhi, the Delhi Police submitted two evidences
E1 and E2 suggesting the involvement of a suspect in the crime to a local court. The court wants
to decide whether the suspect is guilty (G) on the basis of pieces of evidence E1 and E2.
Suppose for both the evidences E1 and E2 the court determines the probability of guilt P(G|E1)
and P(G|E2) to be 0.60 and 0.70, respectively. What is the probability of guilt on the basis of
both the evidences E1 and E2, i.e., P(G|E1, E2)?
(1) 0.42
(2) 0.60
(3) 0.65
(4) 0.78
Questions 13-14 are based on the following:
Under the scheme Jeevan Suraksha for the people below poverty line (BPL), the Central
Government pays Rs. 6,000 to a private hospital for each caesarean birth belonging to BPL
category delivered in the hospital. Normally, the caesarean births are only 10% of the total births
in a year. It was observed that the scheme was misused by many private hospitals, pushing the
figure of caesarean births up to 45% in the BPL category in a year. The Government wants to
impose a penalty if the caesarean births are more than 10% in a hospital and deduct it from the
amount paid for per caesarean birth to the hospital. The Government also decides to pay the equal
total amount to the hospital in both the situations:
(i) average 10% caesarean births, and
(ii) more than 10% caesarean births.