Quantitative Aptitude Questions for SSC and DSSSB

Count read live from the question bank. Questions withdrawn for being wrong or unanswerable leave this page automatically.

Where these questions come from

We say this per subject because it decides how much the answer is worth. A question from a DSSSB paper carries DSSSB's own answer; a practice-pool question carries ours.

Topics covered

• Percentage, profit and loss, discount
• Ratio, proportion, partnership and ages
• Time and work, pipes and cisterns
• Speed, distance, trains and boats
• Simple and compound interest
• Number system, HCF and LCM
• Mensuration and geometry
• Algebra, simplification and trigonometry

Solved quantitative aptitude questions

A few from the bank, with the answer and the working behind a toggle. Try them before you open the answer.

1. A student scored 180 marks out of 300. What is his percentage score?
   1. 50%
   2. 55%
   3. 60%
   4. 65%
   Show answer and solution

   Answer: (C) 60%

   Percentage = (Scored Marks ÷ Total Marks) × 100 = (180 ÷ 300) × 100 = 60%.
2. The value of which of the following is different from the other options?
   1. sec 60°
   2. sin 90°
   3. cos 0°
   4. tan 45°
   Show answer and solution

   Answer: (A) sec 60°

   sec60° = 2, others = 1 so sec60° is different.
3. The value of cosec 30° − cos 60° is:
   1. 2√2/√2
   2. 3/2
   3. 1/2
   4. 1
   Show answer and solution

   Answer: (B) 3/2

   cosec30°=2, cos60°=1/2 ⇒ 2−1/2 = 3/2 (Check carefully). Correct is 3/2.
4. If cos θ = √3/2 , then tan2θ cos2 θ = ?
   1. √3
   2. 1/4
   3. 1/√3
   4. 1/2
   Show answer and solution

   Answer: (B) 1/4

   cosθ=√3/2 ⇒ sinθ=1/2 ⇒ tanθ=1/√3 ⇒ tan²θ cos²θ=(1/3)*(3/4)=1/4 ??? Check ⇒ Actually question intends 2θ. Using double angle gives √3.