Multiple choice

In a school, the ratio of boys to girls is 8 : 5. The total number of students is 91. The average height of the boys is 160 cm, while the average height of the girls is 150 cm. When the heights of the girls are arranged in ascending order, they form an arithmetic progression (AP) and the height of the third girl from the last is 165 cm. Find the height of the tallest girl.

  1. 165 cm

  2. 167 cm

  3. 169 cm

  4. 171 cm

  5. a
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total students = 91. Boys:Girls = 8:5. Boys = 56, Girls = 35. Heights of girls form an AP. Third from last is 165. If n=35, the third from last is the 33rd term. a + 32d = 165. Without the common difference, we assume standard height increments or check the options. 167 is a logical progression.

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