# Mathematics Questions for NDA, CDS & CAPF: Quiz-3

**Q1. The direction ratios of the line perpendicular to the lines with direction ratios < 1, –2, –2 > and < 0, 2, 1 > are**

(a) < 2, –1, 2 >

(b) < – 2, 1, 2 >

(c) < 2, 1, – 2 >

(d) < – 2, – 1, –2 >

**Q5. In throwing a six-faced die, let A be the event that an even number occurs, B be the event that an odd number occurs and C be the event that a number greater than 3 occurs. Which one of the following is correct?**

(a) A and C are mutually exclusive

(b) A and B are mutually exclusive

(c) B and C are mutually exclusive

(d) A, B and C are mutually exclusive

**Q8. The product of r consecutive positive integers, divided by r ! is**

(a) a proper fraction

(b) equal to r

(c) a positive integer

(d) None of these

SOLUTIONS

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