Directions: The following table shows the number of girls students and average number of boys and girls students studying in five different institutions A, B, C, D and E.
Name of the institutions Number of girls Average number of boys and girls
A 80 110
B 90 140
C 60 80
D 60 96
E 40 48
If 42.85% of the boys and 25% of the girls students studying in institution A cleared NEET exam then find the total number of students who did not clear the NEET exam from institution A.
This questions was previously asked in
RRB PO Prelims (06 Aug, 2023 Shift 1)
Explanation:
Let's solve the problem step by step:
- Institution A has 80 girls.
- The average number of boys and girls is 110.
- So, Total students in A = 110 × 2 = 220.
- Number of boys in A = Total students - Number of girls = 220 - 80 = 140.
Clearing NEET:
- Boys cleared: 42.85% of 140 = 0.4285 × 140 = 60 (since 42.85% ˜ 3/7 and 3/7 × 140 = 60)
- Girls cleared: 25% of 80 = 0.25 × 80 = 20
Total cleared = 60 + 20 = 80
Did not clear = 220 - 80 = 140
Option 4 (140) is correct.
- Option 1 (110): Less than the correct number.
- Option 2 (125): Less than the correct number.
- Option 3 (130): Still less.
- Option 4 (140): This matches our calculation.
- Option 5 (120): Less than the correct number.
![]()
By: Parvesh Mehta