Ratio & Proportion

What you'll learn

What a ratio really means, how to simplify it, and the cross-multiplication trick for proportions.

This chapter has

Ratio & Proportion — solved practice questions

6 SSC / Banking Quantitative Aptitude questions with step-by-step solutions. Attempt each, then reveal the answer.

1. Q1easy

   The ratio 12 : 18 in its simplest form is:

   • A2 : 3
   • B3 : 2
   • C4 : 6
   • D6 : 9
   Show answer & solution

   Correct answer: (A) 2 : 3

   Divide both by their HCF (6): 12/6 : 18/6 = 2 : 3.

2. Q2medium

   Divide ₹600 between A and B in the ratio 2 : 3. What is A's share?

   • A₹200
   • B₹240
   • C₹300
   • D₹360
   Show answer & solution

   Correct answer: (B) ₹240

   Total parts = 2 + 3 = 5. A's share = (2/5) × 600 = ₹240.

3. Q3hard

   If a : b = 2 : 3 and b : c = 4 : 5, then a : c is:

   • A8 : 15
   • B2 : 5
   • C6 : 5
   • D8 : 12
   Show answer & solution

   Correct answer: (A) 8 : 15

   Make b common: a:b = 8:12, b:c = 12:15, so a:c = 8:15.

4. Q4easy

   If 4 pens cost ₹20, how much do 10 pens cost (at the same rate)?

   • A₹40
   • B₹50
   • C₹60
   • D₹45
   Show answer & solution

   Correct answer: (B) ₹50

   1 pen = 20/4 = ₹5. 10 pens = 10 × 5 = ₹50.

5. Q5medium

   The fourth proportional to 3, 6 and 5 is:

   • A8
   • B10
   • C12
   • D15
   Show answer & solution

   Correct answer: (B) 10

   3 : 6 = 5 : x → x = (6 × 5)/3 = 10.

6. Q6easy

   If a : b = 5 : 7 and a = 25, then b equals:

   • A30
   • B35
   • C42
   • D49
   Show answer & solution

   Correct answer: (B) 35

   Multiply the ratio by 5: a = 25 → b = 7 × 5 = 35.

Want the full set? Practise all 6 Ratio & Proportion questions →