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Q.1 The parallel sides of a trapezium is 24 cm. and 52 cm.If other sides are 26 cm. and 30 cm. Then find the area of that trapezium.
किसी समलम्ब चतुर्भुज की समान्तर भुजाएँ 24 सेमी. तथा 52 सेमी. हैं। यदि अन्य भुजाएँ 26 सेमी. है व 30 सेमी. हों तो उस चतुर्भुज का क्षेत्रफल ज्ञात कीजिए।
(A) 1728 cm2/सेमी2
(B) 900 cm2/सेमी2
(C) 1028 cm2/सेमी2
(D) 912 cm2/सेमी2
Q.2 A shopkeeper sold a sewing machine for Rs. 1080 at a loss of 10%. At what price should he have sold it to gain 10% on it? (in Rs.)
एक दुकानदार एक सिलाई मशीन 1080 रूपये में 10% हानि पर बेचता है तो उसे 10% लाभ पाने के लिये कितने रूपये में बेचना चाहिये?
(A) 1069
(B) 1200
(C) 1230
(D) 1320
Q.3 Two trains, 125 metres and 115 metres in length, are running towards each other on parallel lines, one at the rate of 33 km/hr. and the other at 39 km/hr. How much time (in second) will they take to pass each other from the moment they meet?
दो ट्रेनें 125 मी और 115 मी. लम्बाई की एक दूसरे की तरफ समान्तर चल रही है, एक 33 किमी/घं. और दूसरी 39 किमी/घंटा से। कितने समय में वे एक दूसरे को पार करेंगी?
(A) 8
(B) 10
(C) 12
(D) 15
Q.4 If a + b + c = 0 then the value of a3 + b3 +c3 -3abc is-
यदि a + b + c = 0 तो a3 + b3 +c3 -3abc का मान है-
(A) 1
(B) 2
(C) 0
(D) 3
Q.5 O is the circumcentre of ΔABC, given ∠BAC = 85o and ∠ BCA = 55o , find ∠OAC.
O ΔABC का परिकेंद्र है,दिया है ∠BAC = 85o और ∠BCA = 55o तो ∠OAC ज्ञात कीजिये
(A) 40o
(B) 50o
(C) 45o
(D) 90o
Q.6 If x sin 60o . tan30o = sec 60o . cot 45o, then the value of x is-
यदि x sin 60o . tan30o = sec 60o . cot 45o, तो x का मान है.
(A) 2
(B) 4
(C) 1
(D) 3
Q.7 If a4 + b4 = (a2 + b2 + xab) (a2 + b2 - xab) then the value of x is-
यदि a4 + b4 = (a2 + b2 + xab) (a2 + b2 - xab) तो x का मान है.
(A) 1
(B) 2
(C) 4
(D) 8
Q.8 A pipe can fill a cistern in 9 hours. Due to a leak in its bottom, the cistern fills up in 10 hours. If the cistern is full, in how much time will it be emptied by the leak?
एक पाइप एक टंकी को 9 घण्टे में भर सकती है इसके तली में रिसाव के कारण टंकी को भरने में 10 घण्टे लगते है यदि टंकी पूरी भरी है तो रिसाव के द्वारा कितने समय में खाली हो जायेगी?
(A) 70 hours/घंटे
(B) 80 hours/घंटे
(C) 90 hours/घंटे
(D) 100 hours/घंटे
Q.9 A skilled, a half skilled and unskilled labourers work for 7,8 and 10 days respectively and they together get Rs. 369 for their work. If the ratio of their each day’s work is 1/3: 1/4: 1/6, then how much do the trained labourers get (in rupees)?
एक कुशल, एक आधा कुशल और एक अकुशल मजदूर क्रमशः 7, 8 और 10 दिन काम करते हैं और वे एक साथ उस काम का 369 रूपये पाते हैं। यदि उनके प्रत्येक दिन के काम का अनुपात 1/3 : 1/4 : 1/6 हो तो एक कुशल मजदूर को कितने रूपये मिले?
(A) 164
(B) 102.50
(C) 201.50
(D) 143.50
Q.10 The radius of the base of a Conical tent is 12 m. The tent is 9 m high. Find the cost of canvas required to make the tent, if one square metre of canvas costs Rs. 120 (Take π = 3.14)
एक शंक्वाकार टेन्ट के आधार की त्रिज्या 12 मी. है। टेन्ट की ऊँचाई 9 मी. है। टेन्ट को बनाने में प्रयोग किये गये कैनवास की कीमत ज्ञात कीजिये यदि 1 वर्ग मी. कैनवास की कीमत 120 रूपये है (π = 3.14)
(A) 67830
(A) 67830
(B) 67800
(C) 67820
(D) 67824
ANSWER KEY :
Q1. D
Q. B
Q3. C
Q4. C
Q5. B
Q6. B
Q7. A
Q8. C
Q9. D
Q10. D
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