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The remaining college

Three colleges admitted 1,200 students in all. College A took 40%, College B took 35%, and College C took the rest.

How many students did College C admit?

Show the answer and the worked solution

Correct answer: B.

300

Worked solution

  1. College C's share = 100 − 40 − 35 = 25%.
  2. 25% of 1,200 = 300.

Answer: 300.

The idea

Work out the missing percentage first, then apply it once. Subtracting the two known headcounts gives the same result.

Shortcut. C's share is 100 − 75 = 25%, a quarter of 1,200 = 300.

Common trap. 420 — that is College B's 35% of 1,200; reading the wrong college's share.

The remaining college — Caselets Aptitude Question

The remaining college: Three colleges admitted 1,200 students in all. College A took 40%, College B took 35%, and… Answer and worked solution on CodeKairo.

Question

Three colleges admitted 1,200 students in all. College A took 40%, College B took 35%, and College C took the rest.

How many students did College C admit?

Options

  1. 240
  2. 300
  3. 360
  4. 420
Show the answer and the worked solution

Correct answer: B. 300

Worked solution

  1. College C's share = 100 − 40 − 35 = 25%.
  2. 25% of 1,200 = 300.

Answer: 300.

The idea

Work out the missing percentage first, then apply it once. Subtracting the two known headcounts gives the same result.

Shortcut. C's share is 100 − 75 = 25%, a quarter of 1,200 = 300.

Common trap. 420 — that is College B's 35% of 1,200; reading the wrong college's share.

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