Mathematics Question For RRB, Railway Group D, Rajasthan SI 27-07-2018

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Question(1) If the volume of a perpendicular cone is numerically equal to its diagonal dorsal area then what will be the value of (1 / h ^ 2 + 1 / r ^ 2) where h and r is the height and radius respectively of the cone?

एक लम्ब – वृत्तीय शंकु का आयतन संख्यात्मक रूप से उसके तिर्यक पृष्ठीय क्षेत्रफल के बराबर हैं तो (1/h^2 +1/r^2 ) का मान क्या होगा जहां h और r शंकु की क्रमशः ऊँचाई और त्रिज्या है ?

(A) 1/9

(B) 3/2

(C)4/5

(D)1/2

Question(2) Radius of a vertical cone is equal to one and radius of a sphere is a. The volume of that sphere and cone is also the same. Accordingly, what is the height of that cone?

एक लम्ब वृत्तीय शंकु की त्रिज्या और एक गोलक की त्रिज्या a के बराबर है | उस गोलक और शंकु के आयतन भी एक समान है | तदनुसार, उस शंकु की ऊँचाई कितनी है ?

(A) 2c

(B) 3b

(C) 4a

(D) 2a

Question(3) If a new cylinder is made by reducing the audience of a cylinder by 50% and increasing its height by 50%, then how much deficiency in the volume of the new cylinder?

यदि किसी बेलन के अर्ध्दव्यास को 50% कम कर के तथा उसकी ऊँचाई को 50% बढाकर एक नया बेलन बनाया जाए, तो नये बेलन के आयतन में कितनी कमी होगी ?

(A) 55.2%

(B) 62.5%

(C)54.6 %

(D) 60.2%

Question(4) If the ratio of the volume of two cubes is 27:64 then what is the ratio of their entire dorsal fields?

यदि दो घनों के आयतनों का अनुपात 27:64 है तो उनके सम्पूर्ण पृष्ठीय क्षेत्रफलों का अनुपात क्या है ?

(A) 3:5

(B) 5:6

(C) 5:3

(D) 3:4

Question(5) The dorsal area of two goals is in the ratio of 4: 9. Will their ratio be proportionate?

दो गोलों के पृष्ठीय क्षेत्रफल 4:9 के अनुपात में है | उनके आयतनों का अनुपात होगा ?

(A)7:56

(B) 2:56

(C) 8:27

(D)4:55

All Solutions (1-5):

Que(1).Ans-(A)

Que(2).Ans-(C)

Que(3).Ans-(B)

Que(4).Ans-(D)

Que(5).Ans-(C)

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