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Q.1. If part of journey is completed in 10 min then 3/5 part of journey will be completed in- /यदि किसी यात्रा का भाग 10 मिनट में पूरा किया जा सकता है तो यात्रा का 3/5 भाग पूरा होगा -
(A) 40 minutes/ मिनट
(B) 45 minutes/ मिनट
(C) 48 minutes/ मिनट
(D) 36 minutes/ मिनट
Q.2. If a + b + c = 0 then (a + b - c)2 + (b + c - a)2 + (c + a - b)2 is equal to
यदि a + b + c = 0 तो (a + b - c)2 + (b + c - a)2 + (c + a - b)2 बराबर है
(A) 0
(B) 8abc
(C) 4 (a2 + b2 + c2)
(D) 4 (ab + bc + ca)
Q.3. A, B and C together can do a piece of work in 2 days whereas A and B alone can do it in 6 days and 5 days respectively then C can do it in -
A, B, और C मिलकर किसी काम को 2 दिन में कर सकते है जबकि A और B उसी काम को अकेले क्रमशः 6 दिन और 5 दिन में कर सकते है तो C अकेले उसी काम को कर सकता है -
(A) hr./घंटे
(B) hr./घंटे
(C) 9 hr./घंटे
(D) hr./घंटे
Q.4. A book seller sold the book at 10% loss if he sold the book at Rs.108 more than he would have profit of 10% then find the cost price of book.
एक पुस्तक विक्रेता किसी पुस्तक को 10% हानि पर बेचता है यदि वह उसे रू 108 अधिक में बेचे तो उसे 10% का लाभ होगा तो उस पुस्तक का क्रय मूल्य ज्ञात कीजिये ।
(A) Rs./रू.442
(B) Rs./रू.540
(C) Rs./रू.740
(D) Rs./रू.648
Q.5. Rs.800 becomes Rs.956 in 3 years with certain rate of simple interest if rate of interest is increased by 4% then find the new amount after the same time period on same sum.
रू.800 तीन वर्षों में किसी निश्चित साधारण ब्याज की दर से रू.956 हो जाती है यदि ब्याज दर को 4 प्रतिशत बढ़ा दिया जाए तो समान धनराशि पर उतने ही समय के बाद प्राप्त धनराशि ज्ञात कीजिये ।
(A) Rs./रू.952
(B) Rs./रू.1052
(C) Rs./रू.1152
(D) Rs./रू.1952
Q.6. If a : (b + c) = 1 : 3 and c : (a + b) = 5 : 7 then b : (a + c) equal to.
यदि a : (b + c) = 1 : 3 और c : (a + b) = 5 : 7 है तो b : (a + c) बराबर है
(A) 1: 2
(B) 2: 3
(C) 1: 3
(D) 2: 1
Q.7. A ruby stone was bought for Rs.1600 at Jaipur. A sum of Rs.2400 was spent on making a ring with the ruby stone. It was advertised for sale at Bombay for Rs.7800. If a discount of 10% was given, then the% profit made was-
एक रूबी पत्थर जयपुर में 1600 रू. में खरीदा गया । रूबी पत्थर से अंगूठी बनाने पर 2400 रू. व्यय किए गए । बम्बई में उसे 7800 रू में बिक्री के लिए विज्ञापित किया गया । यदि 10% की छूट दी गई हो, तो अर्जित लाभ था -
(A) 55%
(B) 68.5%
(C) 75.5%
(D) 80%
Q.8. Solve
हल कीजिए
(A) a – b
(B) b – a
(C) 1
(D) 0
Q.9. If sinα.sec (30 + α) = 1, (0 < α < 600), then sinα + cos2α = ?
यदि sinα.sec (30 + α) = 1 तो (0 < α < 600) तो sinα + cos2α = ?
(A) 1
(B)
(C)
(D) 0
Q.10. If cos θ + sec θ = 2 (00 < θ & < 900) then cos10 θ + sec11 θ = ?
यदि cos θ + sec θ = 2 (00 < θ < 900) हो तो cos10 θ + sec11 θ = ?
(A) 0
(B) 1
(C) 2
(D) – 1
ANSWER KEY:
Q1. (C)
part of the distance is covered in 10 minutes.
दूरी का भाग 10 मिनट में तय किया जाता है ।
part of the distance will covered in/दूरी का भाग तय किया जाएगा =
= 48 minutes/मिनट
Q2. (C) a + b = – c, b + c = – a, c + a = – b
(– c – c)2+ (– a – a)2 + (– b – b)2 = 4a2 + 4b2 + 4c2
Q3. (B) 15 ............ A + B + C ... 2
5 ............... A ................. 6
6 ............... B ................. 5
Hence/अतः, C = 15 – 5 – 6 = 4
Time taken by C to complete the work/C द्वारा कार्य को पूरा करने में लिया गया समय
= hours/घंटे
Q4. (B) CP = 100%
SP = 90% if 10% loss/यदि 10% की हानि हुई है ।
SP = 110% if 10% profit/यदि 10% का लाभ हुआ है ।
20% = 108
100% = Rs./रु.540
Q5. (B) Principal/मूलधन = Rs./रु.800
Increased amount is/बढ़ी हुई धनराशि है = of/का 800
New amount/नया मिश्रधन = Rs./रु.956 + Rs./रु.96 = Rs./रु.1052
Q6. (A) a = k, b + c = 3k
a + b + c = 4k
a + b =
c = (a + b + c) – (a + b)
= 4k – =
a + c = k +=
b = (b + c) – c
= 3k – =
b : (a + c) = 1 : 2
Q7. (C) Total c.p./कुल क्रय मूल्य = Rs./रु.1600 + Rs./रु.2400 = Rs./रु.4000
Discount/छूट% = 10%
Actual selling price/वास्तविक विक्रय मूल्य = Rs./रु.7800 - Rs./रु.780 = Rs./रु.7020
Profit/लाभ% =
Q8. (C)
Q9. (A) 00 < α < 600 Let α = 300
sin 300 sec (300 + α) = sin300. sec 600 = 1
sin 300 + cos 2(300) = 1
sin300 + cos 600 =
Q10. (C) cos θ + sec θ = 2
cos θ + 1/cos θ = 2
cos2 θ + 1 –2cos θ = 0
(cos θ – 1)2 = 0
cos θ = 1
θ = 0
cos10 θ + sec11 θ = 1 + 1 = 2