Important Mathematics Questions For RRB Group D/ ALP : 7th August 2018


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 tan = A = √2 – 1, then Find sin A cos A =
यदि tan = A = √2 – 1, तो sin A cos A =  ज्ञात कीजिये
(a) √2/4
(b) √2/6
(c) √2/3
(d) √2/5
Q2. Find the value of x in the following : sin 2x = sin 60°cos 30° – cos 60° sin 30°
निम्नलिखित में x का मान ज्ञात कीजिये:: sin 2x = sin 60°cos 30° – cos 60° sin 30°
(a) 45
(b) 30
(c) 15°
(d) 20
Q3. Find an acute angle θ, when (cos⁡θ-sin⁡θ)/(cos⁡θ+sin⁡θ )=(1-√3)/(1+√3) 
न्यूनकोण θ ज्ञात कीजिये, जब (cos⁡θ-sin⁡θ)/(cos⁡θ+sin⁡θ )=(1-√3)/(1+√3) 
(a) 45°
(b) 60° 
(c) 90°
(d) 30°
Q4. If each of α, β and γ is a positive acute angle such that sin (α + β + γ) = 1/2, cos (β + γ + α) = 1/2 and tan (γ + α – β) = 1, find the value of sec (α – β + γ)?
यदि प्रत्येक α, β और γ धनात्मक न्यूनकोण इस प्रकार हैं कि sin (α + β + γ) = 1/2, cos (β + γ + α) = 1/2 और tan (γ + α – β) = 1, तो sec (α – β + γ) का मान ज्ञात कीजिये:
(a) √3
(b) √5
(c) √7
(d) √2
Q5. Evaluate each of the following: cos⁡70°/sin⁡20° +(cos⁡55° cosec35°)/(tan ⁡5° tan⁡ 25° tan ⁡45°  tan⁡65°  tan⁡85°) 
निम्नलिखित का मान ज्ञात कीजिये: cos⁡70°/sin⁡20° +(cos⁡55° cosec35°)/(tan ⁡5° tan⁡ 25° tan ⁡45°  tan⁡65°  tan⁡85°) 
(a) 1
(b) 2
(c) 3
(d) 4
Q6. If A + B = 90°, then√(tan⁡A  tan⁡B+tan⁡A  cot⁡B)/(sin⁡A  sec⁡B )-sin²⁡B/cos²⁡A =
यदि A + B = 90°, तो√((tan⁡A  tan⁡B+tan⁡A  cot⁡B)/(sin⁡A  sec⁡B )-sin²⁡B/cos²A =
(a) cot⁡A
(b) tan⁡A
(c) sin⁡A
(d) cos⁡A
Q7. Find the value of (sin θ + cosec θ)² + (cos θ + sec θ)² = 
(sin θ + cosec θ)² + (cos θ + sec θ)² = का मान ज्ञात कीजिये
(a) 7 + tan² θ + cot² θ
(b) 5 + tan² θ + cot² θ 
(c) 3 + tan² θ + cot² θ
(d) 2 + tan² θ + cot² θ
Q8. Find the value of (cosec θ – sin θ) (sec θ – cos θ) (tan θ + cot θ)
(cosec θ – sin θ) (sec θ – cos θ) (tan θ + cot θ) का मान ज्ञात कीजिये: 
(a)4
(b) 3
(c) 2
(d) 1
Q9. Find the value of cos²⁡θ/(1-tan⁡θ )+sin³⁡θ/(sin⁡θ-cos⁡θ )
cos²⁡θ/(1-tan⁡θ )+sin³⁡θ/(sin⁡θ-cos⁡θ ) का मान ज्ञात कीजिये:
(a) 1+sin⁡θ  cos⁡θ
(b) 4+sin⁡θ  cos⁡θ
(c) 2+sin⁡θ  cos⁡θ
(d) 3 +sin⁡θ  cos⁡θ
Q10. Find the value of  ((1+cot⁡A+tan⁡A)(sin⁡A-cos⁡A))/(sec³⁡⁡A-cosec³⁡A)=
((1+cot⁡A+tan⁡A)(sin⁡A-cos⁡A))/(sec³⁡⁡A-cosec³⁡ A)= का मान ज्ञात कीजिये:
(a) sin²⁡A  cos²⁡A
(b) sec²A  cos²A
(c) sin²⁡A  tan²⁡A
(d) sin²⁡A  cosec²⁡A

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