MBApyq

Height of square hall walls

CMAT 2019 · Quantitative Techniques & Data Interpretation · Medium · Mensuration

All CMAT 2019 questionsMore Mensuration questionsAll CMAT QTDI

It costs Rs. 6000/-6000\text{/-} and Rs. 6100/-6100\text{/-} respectively to paint the 44 walls of 22 square halls, of the same height. If the length of one hall exceeds the length of the other by 1 m1\text{ m} and the cost of painting is Rs. 5 per sq.m.5\text{ per sq.m.}, what is the height of the two walls?

  1. A.

    10 m

  2. B.

    7.5 m

  3. C.

    3 m

  4. D.

    5 m

Answer

D

Explanation

Area of 4 walls of square hall =4×a×h= 4 \times a \times h. Cost of painting =4ah×5=20ah= 4 a h \times 5 = 20 ah. Given 20ah=6000  ⟹  ah=30020 ah = 6000 \implies ah = 300.

For second hall: 20(a+1)h=6100  ⟹  (a+1)h=30520 (a + 1) h = 6100 \implies (a + 1) h = 305. Subtracting: h(a+1)−ah=305−300  ⟹  h=5 mh(a + 1) - ah = 305 - 300 \implies h = 5\text{ m}.

Related Mensuration questions

Practise this under exam conditions

Sign in to solve it with a live timer, the on-screen CAT calculator, and streak and accuracy tracking across every question you attempt.

Solve in the workspace