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# RRB NTPC Mathematics Questions: 15th June

Dear aspirants,

As you all know, RRB NTPC Exam will be held in the month of June-September 2019. So we are here to help you with the Mathematics subject. We are providing daily quantitative aptitude quizzes, which will help you to score good marks in this section. We aim to provide the best study material to our readers with exam level questions to help them get used to the recent pattern. Attempt this quiz and check your preparation.

Q1. The least value of 2sin² θ + 3cos² θ is
2sin² θ + 3cos² θ का कम से कम मान है
(a) 3
(b) 5
(c) 1
(d) 2

Q2. If 4x = sec q and 4/x = tan q then 8 (x²-1/x² ) is
यदि 4x = sec q और 4/x = tan q तो 8 (x²-1/x² ) का मान ज्ञात कीजिये.
(a) 1/16
(b) 1/8
(c) 1/2
(d) 1/4

Q3. If 2 – cos² θ = 3 sin θ cos θ, then tan θ is
यदि 2 – cos² θ = 3 sin θ cos θ, तो tan θ का मान है-
(a) 1/2
(b) 0
(c) 2/3
(d) 1/3

Q4. If sin θ + cos θ = √2 cos (90 – θ), then cot θ is
यदि sin θ + cos θ = √2 cos (90 – θ), तो cot θ का मान ज्ञात कीजिये.
(a) √2 + 1
(b) 0
(c) √2
(d) √2-1

Q5. If sin (x + y) = cos [3 (x + y)], then the value of tan [2 (x + y)] is:
यदि sin (x + y) = cos [3 (x + y)], तो [2 (x + y)] का मान ज्ञात कीजिये.
(a) √3
(b) 1
(c) 0
(d) 1/√3

Q6. The value of (1 + sec 20° + cot 70°) (1 – cosec 20° + tan 70°) is
(1 + sec 20° + cot 70°) (1 – cosec 20° + tan 70°) का मान ज्ञात कीजिये.
(a) 0
(b) –1
(c) 2
(d) 1

Q7. If sin 2θ = 1/2, then the value of cos (75° – θ) is:
यदि sin 2θ = 1/2, तो (75° – θ) का मान है.
(a) 1
(b) 1/2
(c) √3/2
(d) 1/√2

Q8. If cos θ + sec θ = √3, then the value of cos³ θ + sec³ θ is
यदि cos θ + sec θ = √3, तो cos³ θ + sec³ θ का मान ज्ञात कीजिये
(a) 0
(b) 1
(c) –1
(d) √3

Q9. If for all real values of α, x = cos⁴ α + sin² α, then the range in which x lies is
यदि α का सभी वास्तविक मान के लिए x = cos⁴ α + sin² α, तो x का मान कितना होगा?
(a) 3/4≤x≤1
(b) 3/4≤x≤13/15
(c) 3/16≤x≤1
(d) 1/2≤x≤2

Q10. If sec θ + tan θ = 2, then sec θ is equal to
यदि sec θ + tan θ = 2, तो sec θ किसके बराबर है.
(a) 7/4
(b) 7/2
(c) 5/2
(d) 5/4

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