Important Quantitative Aptitude Questions For SSC CHSL And CPO 2018 : 15th March 2018(Solutions)

Dear students, you know that QUANT is a part of getting points and every chapter is important. Therefore, we are providing 15 questions of quant. Solve all these quizzes every day so that you can improve your accuracy and speed. We also provide lots of quant questions. So you can practice that chapter which takes more time to solve the questions.
प्रिय पाठकों, आप सभी जानते हैं कि संख्याताम्क अभियोग्यता का भाग बहुत ही महत्वपूर्ण है. इसलिए हम आपको संख्यात्मक अभियोग्यता कि 15 प्रश्नों कि प्रश्नोत्तरी प्रदान कर रहे हैं. इन सभी प्रश्नोत्तरी को दैनिक रूप से हल कीजिये ताकि आप अपनी गति और सटीकता में वृद्धि कर सकें. हम आपको अन्य कई संख्यात्मक अभियोग्यता के प्रश्न प्रदान करेंगे. ताकि आप पाठ्यक्रम अनुसार उन्हें हल कर पायें.

Q1. If sec² θ + tan² θ = √3, then the value of sec⁴ θ – tan⁴ θ is?
यदि sec² θ + tan² θ = √3, तो sec⁴ θ – tan⁴ θ का मान ज्ञात कीजिये?
(a) 1/√3
(b) 1
(c) √3
(d) 0

Q2. If in a triangle ABC, sin A = cos B then the value of cos C is?
यदि एक त्रिभुज में ABC, sin A = cos B तो cos C का मान ज्ञात कीजिये?
(a) √3/2
(b) 0
(c) 1
(d) 1/√2

Q3. If sin θ × cos θ = 1/2. The value of sin θ – cos is where 0° < θ < 90°?
यदि sin θ × cos θ = 1/2. तो sin θ – cos का मान ज्ञात कीजिये,यदि 0° < θ < 90°?
(a) 0
(b) √2
(c) 2
(d) 1

Q4. The value of cos² 20° + cos² 70° ?
cos² 20° + cos² 70°  का मान ज्ञात कीजिये?
(a) √2
(b) 1
(c) 1/3
(d) 2

Q5. The value of sin⁡θ/(1 + cos⁡θ )+sin⁡θ/(1 –  cos ⁡θ ) is?
sin⁡θ/(1 + cos⁡θ )+sin⁡θ/(1 – cos ⁡θ ) का मान ज्ञात कीजिये?
(a) 2 sin θ
(b) 2 cos θ
(c) 2 sec θ
(d) 2 cosec θ

Q6. If tan θ = 8/15, the value of √(1 – sin⁡θ )/√(1 + sin ⁡θ ) is?
यदि tan θ = 8/15, तो √(1 – sin⁡θ )/√(1 + sin⁡ θ ) का मान ज्ञात कीजिये?
(a) 1/5
(b) 2/5
(c) 3/5
(d) 0

Q7. If cos⁡θ/(1-sin⁡θ )+cos⁡θ/(1+sin⁡θ ) = 4 then the value of θ (0 < θ < 90°) is?
यदि cos⁡θ/(1-sin⁡θ )+cos⁡θ/(1+sin⁡θ ) = 4 तो θ (0 < θ < 90°) का मान ज्ञात कीजिये?
(a) 60°
(b) 45°
(c) 30°
(d) 35°

Q8. If sec 15 θ = cosec 15 θ (0° < θ < 10°) then the value of θ is?
यदि sec 15 θ = cosec 15 θ (0° < θ < 10°) तो θ का मान ज्ञात कीजिये?
(a) 9°
(b) 5°
(c) 8°
(d) 3°

Q9. If tan θ = tan 30°. tan 60° and θ is an acute angle, then 2 θ is equal to?
यदि tan θ = tan 30°. tan 60° and θ एक न्यून कोण है, तो 2 θ किसके बराबर है?
(a) 30°
(b) 45°
(c) 90°
(d) 0°

Q10. If x² = sin² 30° + 4 cot² 45° – sec² 60°, then the value of x (x > 0) is?
यदि x² = sin² 30° + 4 cot² 45° – sec² 60°, तो x (x > 0) का मान ज्ञात कीजिये?
(a) –1/2
(b) 1
(c) 0
(d) 1/2

Q11. If 7 sin² θ + 3 cos² θ = 4 then the value of sec θ + cosec θ is?
यदि 7 sin² θ + 3 cos² θ = 4 तो sec θ + cosec θ का मान ज्ञात कीजिये?
(a) 2/√3-2
(b) 2/√3+2
(c) 2/√3
(d) None of these

Q12. The value of ((sin ⁡θ+sin ⁡ϕ )/(cos ⁡θ+cos⁡ ϕ )+(cos⁡ θ-cos⁡ ϕ)/(sin ⁡θ-sin⁡ ϕ )) is?
((sin ⁡θ+sin ⁡ϕ )/(cos ⁡θ+cos⁡ ϕ )+(cos⁡ θ-cos⁡ ϕ)/(sin ⁡θ-sin⁡ ϕ ))  का मान ज्ञात कीजिये?
(a) 1
(b) 2
(c) 1/2
(d) 0

Q13. If cot θ = 4, then the value of (5 sin⁡θ  + 3 cos⁡θ)/(5 sin⁡θ  – 3 cos⁡θ ) is?
यदि cot θ = 4, तो (5 sin⁡θ  + 3 cos⁡θ)/(5 sin⁡θ  – 3 cos⁡θ ) का मान ज्ञात कीजिये?
(a) (-17)/7
(b) 1/3
(c) 3
(d) 9

Q14. If sec Ɵ + tan Ɵ = a, then the value of cos Ɵ is?
यदि sec Ɵ + tan Ɵ = a, तो cos Ɵ isका मान ज्ञात कीजिये?
(a) (a²+1)/2a
(b) 2a/(a²+1)
(c) (a²-1)/2a
(d) 2a/(a²-1)

Q15. The value of (1 + tan² θ) (1 – sin² θ) is?
(1 + tan² θ) (1 – sin² θ) का मान ज्ञात कीजिये?
(a) 2
(b) 1
(c) –1
(d) –2

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