# Important Quantitative Aptitude Questions For SSC CGL : 9th February 2019

Dear aspirants,

As you all know, the upcoming months are lined up with various important exams like SSC Stenographer, RRB JE , SSC CGL , SSC JE and many more, so we are here to help you with the subject that is common to all of the given exams. We are providing daily quantitative aptitude quizzes, practice 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. 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° cosec 35°)/(tan⁡5° tan⁡25° tan⁡45° tan65° tan⁡85° )
निम्नलिखित का मान ज्ञात कीजिये: cos⁡70°/sin⁡20° +(cos⁡55° cosec 35°)/(tan⁡5° tan⁡25° tan⁡45° tan65° 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 )-sin²B/cos²⁡A )=
यदि A + B = 90°, तो√((tan⁡A tan⁡B+tan⁡A cot⁡B)/(sin⁡A sec⁡B )-sin²B/cos²⁡A )=

(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/(1-tan⁡θ )+sin³⁡θ/(sin⁡θ-cos⁡θ )
cos²θ/(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) sec²⁡A cos²A
(c) sin²⁡A tan²⁡A
(d) sin²A cosec²⁡A

Q11. A can build a wall in 15 days and B can build it in 10 days, while C can completely demolish the wall in 12 days. If they start working at the same time, in how many days will the work be completed?
A एक दीवार को 15 दिन में बना सकता है और B इसे 10 दिन में बना सकता है, जबकि C इसे 12 दिन में पूरी तरह बर्बाद कर सकता है. यदि वे समान समय पर कार्य करना शुरू करते हैं तो, कार्य कितने दिनों में पूरा होगा?
(a)13
(b)12
(c)14
(d)16

Q12. If A can do a work in 10 days and B can do the same work in 15 days, then how many days will they take to complete the work both while working together?
यदि A एक कार्य को 10 दिन में और B उसी कार्य को 15 दिन में पूरा कर सकता है, तो वे दोनों एकसाथ कार्य को पूरा करने में कितना समय लेंगे?
(a)7
(b)8
(c)6
(d)9

Q13. ‘A’ completes a work in 12 days. ‘B’ completes the same work in 15 days. ‘A’ started working alone and after 3 days B joined him. How many days will they now take together to complete the remaining work?
‘A’ एक कार्य को 12 दिन में पूरा करता है. ‘B’ उसी कार्य को 15 दिन में पूरा करता है. ‘A’ अकेले कार्य करना शुरू करता है और 3 दिन बाद B उस से जुड़ता है. अब शेष कार्य को पूरा करने के लिए उन दोनों को कितना समय लगेगा?
(a)9
(b)8
(c) 6
(d) 5

Q14. Machine A can print one lakh books in 8 hours. Machine B can do the same job in 10 hours. Machine C can do the same job in 12 hours. All the three machines start job at 9.00 am. A break down at 11.00 am and the other two machines finish the job. Approximately at what time will the job be finished?
मशीन A 8 घंटे में एक लाख बुक चाप सकती है. मशीन B उसी कार्य को 10 घंटे में पूरा कर सकती है. मशीन C उसी कार्य को 12 घंटे में पूरा कर सकती है. सभी तीन मशीन 9.00 पूर्वाहन पर कार्य करना शुरू करती है. 11पूर्वाहन पर मशीन A को बंद कर दिया जाता है और शेष दो मशीन कार्य पूरा करती हैं. लगभग कितने बजे कार्य समाप्त होगा?
(a) 12.05 noon
(b) 1.30 pm
(c) 1.05 pm
(d) 11.30 am

Q15. 12 men complete a work in 18 days. Six days after they had started working, 4 men joined them. How many days will all of them take to complete the remaining work?
12 पुरुष एक कार्य को 18 दिन में पूरा करते हैं. छ: घंटे बाद उन्होंने कार्य करना शुरू किया. 4 पुरुष उनसे जुड़ते हैं. शेष कार्य को पूरा करने में उन सभी को कितना समय लगेगा?
(a) 10 days
(b) 12 days
(c) 15 days
(d) 9 days

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