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Quant Questions For SSC Exam 2019 : 18th September

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Q2. A man has some hens and some cows. If the total number of heads of hens and cows together is 50 and the nunber of feet of hens and cows together is 142, then the number of cows is:
एक व्यक्ति के पास कुछ मुर्गियां और कुछ गाय हैं. यदि मुर्गियों और गायों के सिर की कुल संख्या 50 है और मुर्गियां और गाय के पैरों की कुल संख्या 142 है, तो गायों की संख्या कितनी है?
(a) 21
(b) 25
(c) 27
(d) 29

Q3. In a class, average height of all students is ‘a’ cms. Among them, average height of 10 students is ‘b’ cms and the average height of the remaining students is ‘c’ cms. Find the number of students in the class. (Here a > c and b > c)
एक कक्षा में, सभी छात्रों की औसत ऊंचाई ‘a’ सेमी है। उनमें से, 10 छात्रों की औसत ऊँचाई ‘b’ सेमी है और शेष छात्रों की औसत ऊँचाई ‘c’ सेमी है। कक्षा में छात्रों की संख्या ज्ञात कीजिए। (यहां a > c और b > c)
(a) (a(b – c))/(a – c)
(b) ((b – c))/((a – c))
(c) (b – c)/(10(a – c))
(d) (10(b – c))/(a – c)

Q5. If (a + b – 6)2 + a2 + b2 + 1 + 2b = 2ab + 2a, then the value of a is
यदि (a + b – 6)2 + a2 + b2 + 1 + 2b = 2ab + 2a, तो a का मान ज्ञात करें
(a) 7
(b) 6
(c) 3.5
(d) 2.5

Q6. Two circles of radii 17 cm and 8 cm are concentric. The length of a chord of greater circle which touches the smaller circle is:
17 सेमी और 8 सेमी त्रिज्या के दो वृत्त संकेंद्रित हैं। बड़े वृत्त की एक जीवा जो छोटे वृत्त को स्पर्श करती है उसकी लम्बाई क्या है?
(a) 15 cm/ सेमी
(b) 16 cm/ सेमी
(c) 30 cm/ सेमी
(d) 34 cm/सेमी

Q7. The least six digit number which is a perfect square is
न्यूनतम छह अंकों की संख्या जो एक पूर्ण वर्ग है:
(a) 100489
(b) 100000
(c) 100256
(d) 100225

Q8. The percentage change of a number when it is first decreased by 10% and then increased by 10% is:
किसी संख्या में 10% कमी और फिर 10% वृद्धि की जाती है तो उस संख्या में प्रतिशत परिवर्तन ज्ञात करें.
(a) 0.1% increase/0.1% की वृद्धि
(b) 1% decrease/1% की कमी
(c) 0.1% decrease/0.1% की कमी
(d) No changes/कोई परिवर्तन नहीं

Q9. Find the angular elevation of the sum when the shadow of a 15m long pole is metres
15 मीटर लंबे खम्बे की परछाई 15/√3 मीटर है, योग का उन्नयन कोण ज्ञात करें
(a) 45°
(b) 60°
(c) 30°
(d) 90°

Q10. If 2y cosθ = x sinθ and 2x secθ – y cosecθ = 3 then what is the value of x2 + 4y2?
यदि 2y cosθ = x sinθ and 2x secθ – y cosecθ = 3, तो x2 + 4y2 का मान ज्ञात करें
(a) 4
(b) 1
(c) 2
(d) 5


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