# Important Quantitative Aptitude Questions For SSC CGL 2018 : 7th December 2018

Dear aspirants,

With the passing months, exam preparation for govt. exams viz. SSC CGL, SSC CHSL, SSC CPO, SSC JE, SSC MTS and other prominent competitive exams is required to ace your performance in these sought after govt job. based exams. And to make you provide with an extraordinary experience of learning via the best study content of ADDA247 Publication Books, we will be providing daily quizzes of all the four mandatory subjects let it be Quantitative Aptitude, English Language, Reasoning and General Awareness right away from ADDA247 Publication Best Books For all SSC Exams to facilitate you with our Publication Books’ efficiency encompassed with comprehensive study material subsumed with holistic notes, Practice Sets and Exercises.
Starting from today, the quizzes on SSCADDA for all SSC Exams will be based on ADDA247 Publication Books to make you experience a beneficial journey which drums up your efforts, preparation strategy and time managing skills. Quantitative aptitude holds its own importance in all SSC Exams and quantitative aptitude is its one significant part, considering the same, Arithmetic Quiz is all set to catalyze your preparation.

Q1. If x+1/x = 2 cos θ, then find the value of x³+1/x³ .
यदि x+1/x = 2 cos θ है,तो x³+1/x³  का मान ज्ञात कीजिये
(a) 2 cos 3θ
(b) 2 sin 3θ
(c) sin 3θ
(d) cos 3θ

Q2. If 0° < θ < 90° & tan θ = √(6+√(6+√(6+ ……∞)) ) , then find the value of sec² θ.
यदि 0° < θ < 90° & tan θ = √(6+√(6+√(6+ ……∞)) )  है, तो sec² θ का मान ज्ञात कीजिये.
(a) 10
(b) 12
(c) 8
(d) 6

Q3. If tan θ = 1/2 and tan ϕ = 1/3, then θ + ϕ = ?
यदि tan θ = 1/2 और tan ϕ = 1/3 है,तो θ + ϕ = ?
(a) π/6
(b) 0
(c) π/4
(d) π

Q4. If (sin⁡θ  + cos⁡θ)/(sin⁡θ  – cos⁡θ ) = 3, then find the value of sin⁴ θ – cos⁴ θ.
यदि (sin⁡θ  + cos⁡θ)/(sin⁡θ  – cos⁡θ ) = 3 है,तो sin⁴ θ – cos⁴ θ का मान ज्ञात कीजिये.
(a) 1/5
(b) 2/5
(c) 3/5
(d) 4/5

Q5. If sin 17° = x/y, then the value of sec 17° – sin 73° is.
यदि sin 17° = x/y है,तो sec 17° – sin 73° का मान ज्ञात कीजिये.
(a) (y²  – x²)/xy
(b) x²/√(y²  – x² )
(c) x²/(y√(y²  + x² ))
(d) x²/(y√(y²  – x² ))

Q6. If sin θ + cos θ = p and sec θ + cosec θ = q, then q (p² – 1) = ?
यदि sin θ + cos θ = p और sec θ + cosec θ = q है, तो q (p² – 1) = ?
(a) p
(b) 2p
(c) 3p
(d) 2p²

Q7. If sin (x + y) = cos (x – y), then find the value of cos² x.
यदि sin (x + y) = cos (x – y) है,तो cos² x का मान ज्ञात कीजिये.
(a) 5
(b) -1/2
(c) 1/2
(d) 3

Q8. Find the value of 3 sin 20° – 4 sin³ 20°.
3 sin 20° – 4 sin³ 20° का मान ज्ञात कीजिये.
(a) √3/2
(b) 1/2
(c) 1/√2
(d) 2/√3

Q9. sin⁡θ/(cot⁡θ  + cosec θ)-sin⁡θ/(cot⁡θ  – cosec θ)=?
(a) 1
(b) 2
(c) 3
(d) 0

Q10. The value of the expression 2 (sin⁶ θ + cos⁶ θ) – 3 (sin⁴ θ + cos⁴ θ) + 1 is
अभिव्यक्ति 2 (sin⁶ θ + cos⁶ θ) – 3 (sin⁴ θ + cos⁴ θ) + 1 का मान कितना है?
(a) –1
(b) 0
(c) 1
(d) 2

Q11. The angle of elevation of the top of a tower, vertically erected in the middle of a field, from two points on a horizontal line through the foot of the tower are given to be α and β (α > β). The height of the tower is h unit. A possible distance (in the same unit) between the points is:
टावर के आधार के माध्यम से एक क्षैतिज रेखा पर दो बिंदुओं से, एक क्षेत्र के बीच में ऊर्ध्वाधर रूप से खड़े एक टावर के शीर्ष का उन्नयन कोण α और β (α> β) दिया गया है. टावर की ऊंचाई h इकाई है. बिन्दुओं के बीच की संभावित दूरी (एक ही इकाई में) है
(a) (h(cot⁡β  – cot⁡α))/cos⁡(α – β)
(b) h (cot β – cot α)
(c) (h(tan⁡β  – tan⁡α))/(tan⁡α  tan⁡β )
(d) h (cot α + cot α)

Q12. The daily wages of A and B respectively are Rs. 3.50 and 2.50. When A finishes a certain work, he gets a total wages of Rs. 63. When B does the same work, he gets a total wages Rs. 75. If both of them do it together what is the cost of the work?
A और B की दैनिक मजदूरी क्रमश: 3.50 और 2.50 रुपये हैं. A को एक निश्चित कार्य खत्म करने पर, 63 रूपये की कुल मजदूरी मिलती है. जबकि B को समान कार्य पूरा करने के लिए, 75 रूपये की कुल मजदूरी मिलती है. यदि वे दोनों एक साथ कार्य करते हैं तो कार्य की कुल लागत क्या होगी?
(a) Rs. 67.50 /रूपये
(b) Rs. 27.50 /रूपये
(c) Rs. 60.50 /रूपये
(d) Rs. 70.50 /रूपये

Q13. In a circle, a diameter AB and a chord PQ (which is not a diameter) intersect each other at X perpendicularly. If AX : BX = 3 : 2 and the radius of the circle is 5 cm, then the length of chord PQ is:
एक वृत में, एक व्यास AB और एक जीवा PQ (जो व्यास नहीं है) एक दूसरे को X पर लंबवत रूप से प्रतिच्छेद करते है. यदि AX:BX = 3: 2 और वृत की त्रिज्या 5 सेमी है, तो जीवा PQ की लंबाई कितनी है:
(a) 2√13 cm
(b) 5√3 cm
(c) 4√6 cm
(d) 6√5 cm

Q14. The sum of three positive numbers is 18 and their product is 162. If the sum of two numbers is equal to the third then the sum of squares of the numbers is:
तीन सकारात्मक संख्याओं का योग 18 है और उनका गुणनफल 162 है. यदि दो संख्याओं का योग तीसरी संख्या के बराबर है तो संख्याओं के वर्गों का योग कितना है?
(a) 120
(b) 126
(c) 132
(d) 138

Q15. In a regiment the ratio between the number of officers to soldiers was 3 : 31 before battle. In a battle 6 officers and 22 soldiers were killed and the ratio became 1 : 13, the number of officers in the regiment before battle was:
एक रेजिमेंट में युद्ध से पहले अधिकारियों और सैनिकों की संख्या के बीच का अनुपात 3: 31 था. एक युद्ध में 6 अधिकारी और 22 सैनिक मारे जाते है और अनुपात 1: 13 हो जाता है, युद्ध से पहले रेजिमेंट में अधिकारियों की संख्या कितनी थी?
(a) 31
(b) 38
(c) 21
(d) 28

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