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एक धातु के पाइप की लम्बाई 21 सेमी और उसका वाह्य व्यास 8 सेमी. है। यदि पाइप की मोटाई 1 सेमी है और 1 सेमी.3 धातु का भार 8 ग्राम है तो धातु के पाइप का भार है। ( π= 22/7)
(A) 3.696 (B) 33.669 (C) 3.966 (D) 3.699
SOL :
External radius of pipe r2 = 4 cm
Internal radius = r1 = 4 - 1 = 3 cm.
volume of pipe = (r22 - r21) ×h.
= π (16 - 9) × 21 = 22/7 × 7 × 21 = 462 cu.cm.
Weight of pipe = volume × Density.
= 3.696 kg.
2.) What is the length of the uniform wire of diameter 0.2cm that can be drawn from a solid sphere of radius 3 cm.?
3 सेमी त्रिज्या वाले धातु के एक ठोस गोले से 0.2 सेमी व्यास वाला कितने मीटर लम्बा तार बनाया जा सकता है।
(A) 72 m (B) 343 m (C) 36 m (D) 18 m
Sol :Radius of sphere r = 3 cm = 0.3 m
and diameter of wire = 0.2 cm
So Radius = 0.1 cm = 0.001 m
Volume of sphere = Volume of wire.
3.) If 3 sin x + 5 cos x = 5 then what is the value of (3cos x - 5 sin x) is.
यदि 3 sin x + 5 cos x = 5 तो (3cos x - 5 sin x) का मान क्या है।
(A) 0 (B) 2 (C) 3 (D) 5
SOL:
3sinx + 5cosx = 5
9sin2x + 25cos2x + 30 sinx cosx = 25
9(1-cos2x)+25(1-sin2x)+30 sinx cosx = 25
9+25-(9cos2x+25sin2x-30sinx cosx) = 25
9 = (3 cosx - 5 sinx)2
3 cos x - 5 sin x = 3
4.) The value of tan 10, tan 20, tan 40----- tan 880 tan 890 is-
10, tan 20, tan 40----- tan 880 tan 890 का मान है-
(A)
(B) 
(C) 1 (D) 
SOL :
(tan 10- tan 890) (tan 20 - tan 880) ----- tan 450
= (tan 10 cot 10) (tan 20 cot 20) ---- tan 450 = 1
[tan (900-θ) = cot θ], [cot (900 -θ) = tan θ]
tan θ. cotθ = 1
5.) If 8 men or 12 boys can do a piece of work in 16 days, so in how many days the same work will be finished by 20 men and 6 boys.
8 आदमी या 12 लड़के किसी काम को 16 दिनों में कर सकते है तो 20 आदमी और 6 लड़के इसी काम को कितने दिनों में करेंगे ?
(B) 
(C) 12
(D) 
Sol :
Required days = 
= 
6.) A tire has 2 punctures . the first puncture alone would have made the tyre flat in 12 minutes and the second alone would have done it in 6 minutes. If air leaks out at a constant rate, how long does it take both the puncture together to make it flat?
एक टायर में दो पंचर है पहला पंचर टायर को 12 मिनट में फ्लैट कर देता है जबकि दूसरा पंचर 6 मिनट में फ्लैट करता है यदि हवा एक निरंतर दर से निकल रही है तो तो कितने समय में यह टायर को फ्लैट कर देंगे ?
(B) 
(C) 
(D) 36 minSol :
part emptied in 1 min by first puncture =
part emptied in 1 min by second puncture =
part emptied in 1 min by both puncture =
=
time taken by both puncture = 
7.) Same quantity of rice is required for each member of a family of 25 members. On a particular day, due to the absence of some members of the family, the consumption of rice was reduced in the ratio 5 : 3 . the number of members absent on that day was?
चावल का एक ही मात्रा 25 सदस्यों के एक परिवार के प्रत्येक सदस्य के लिए आवश्यक है। एक विशेष दिन पर, परिवार के कुछ सदस्यों की अनुपस्थिति के कारण, चावल की खपत का अनुपात 5 : 3 में कम हो गया था। उस दिन अनुपस्थित सदस्यों की संख्या थी?
- 3 (B) 9 (C) 15 (D) 8
given ratio
total members : absent = 5 : 3
Hence, number of person absent =
25 = 158.) In 40 litres of milk and water the ratio of milk to water is 7 : 1. To get a new mixture containing milk and water in the ratio 3 : 1, the quantity of water that should be added to the mixture?
40 लीटर के मिश्रण दूध पानी का अनुपात 7 : 1 है कितना पानी और मिलाया जाये की नए वाले मिश्रण में दूध पानी का अनुपात 3 : 1 हो जाये ?
- 6 (B)
(C)
(D)
In a 40 litre of mixture,
Quantity of water is =
Quantity of milk =
9.) The average temperature of Monday, Tuesday and Wednesday was
and that of Tuesday, Wednesday and Thursday is 
If the temperature on Monday was 
then the temperature on Thursday was? सोमवार, मंगलवार और बुधवार के औसत तापमान था
और मंगलवार, बुधवार और गुरुवार 
तो सोमवार को 
तापमान था तो गुरुवार को तापमान रहा था?
(B) 
(C) 
(D) 
SOl :
Difference between temperature on Monday and Thursday =
Temperature on Thursday = temperature on Monday + difference between temperature
= 
10.) 600 amount to Rs. 740 in 5 years at a certain rate of simple interest. If the rate of interest is increased by 3 % . what will be the amount then ?
600 रुपए की राशि 5 वर्षो में 740 हो जाती है यदि ब्याज की दर को 3 % बढ़ाया जाता है तो अब राशि ज्ञात कीजिये
(A) 800 (B) 856 (C) 930 (D) 830
Sol :
New amount = original amount + extra interest
Extra interest due to increment of 2 % rate of interest =
Rs. 830Answers :
Q.1. A
Q.2. C
Q.3. C
Q.4. C
Q.5. A
Q.6. B
Q.7. C
Q.8. C
Q.9. C
Q.10. D
