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Q.1. If the diameter of a cylinder is 28 m and its height is 20 m, then total surface area (in m2) is
यदि एक बेलन का व्यास 28 मी. है और ऊँचाई 20 मी. है, तो सम्पूर्ण पृष्ठ क्षेत्रफल (मी2 में) है-
(A) 2992 cm.2/सेमी.2
(B) 2299 cm.2/सेमी.2
(C) 2929 cm.2/सेमी.2
(D) 2882 cm.2/सेमी.2
Q.2. Seven years ago, the ratio of the age of A to that of B, was 7: 9. C is 12 years older than A and 12 years younger than B. What is C's present age?
सात वर्ष पहले, A का B की आयु से अनुपात, 7: 9 था | C, A से 12 वर्ष बड़ा है और B से 12 वर्ष छोटा है | C की वर्तमान आयु है ?
(A) 93 years/वर्ष
(B) 103 years/वर्ष
(C) 105 years/वर्ष
(D) 96 years/वर्ष
Q.3. How many sides does a regular polygon have whose interior and exterior angles are in the ratio 3: 2?
एक समबहुभुज में कितनी भुजाएं हैं जिसके आन्तरिक और वाह्य कोण में अनुपात 3 : 2 है ?
(A) 5
(B) 7
(C) 8
(D) 10
Q.4. If then what is the value of ?
यदि तो का मान क्या है ?
(A)
(B)
(C)
(D)
Q.5. If x = 8 + 2, then what is the value of?
यदि x = 8 + 2, तो का मान क्या है ?
(A)
(B)
(C)
(D)
Q.6. In the given figure, PQ = 30, RS = 24 and OM = 12, then what is the value of ON?
दी गयी आकृति में, PQ = 30, RS = 24 तथा OM = 12 है, तो ON का मान क्या है ?
(A) 9
(B) 12
(C) 15
(D) 18
Q.7. What is the value of
का मान क्या है?
(A) 0
(B) 1
(C) x (p – q)
(D) x (p + q)
Q.8. A trader sells two items at the rate of Rs.391 each. If he gains 15% on one and losses 15% on other, then what is the value (in Rs) of loss?
एक व्यापारी दो वस्तुओं को 391 रु. प्रति वस्तु की दर से बेचता है। यदि उसे एक वस्तु पर 15% का लाभ तथा दूसरी वस्तु पर 15% की हानि होती है, तो हानि का मान (रु. में) कितना है?
(A) 18
(B) 22
(C) 20
(D) 24
Q.9. The simple and compound interest that can be earned in two years at the same rate is Rs 1500 and Rs 1575 respectively. What is the rate (% per annum) of interest?
दो वर्षों में समान दर पर अर्जित हो सकने वाले साधारण और चक्रवृद्धि ब्याज क्रमशः 1500 रु और 1575 रु है। ब्याज दर (% प्रति वर्ष) कितनी है?
(A) 8
(B) 10
(C) 12
(D) 15
Q.10. A trader had 960 kgs of rice. He sold a part of it at 20% profit and the rest at 8% profit, so that he made a total profit of 12%. How much rice (in kgs) did he sell at 8% profit?
एक व्यापारी के पास 960 कि.ग्रा. चावल थे। उसने इसका एक हिस्सा 20% लाभ पर और शेष 8% लाभ पर बेच दिया, ताकि वह कुल 12% मुनाफा कमा सके। उसने 8% लाभ पर कितना चावल (कि.ग्रा में) बेचा?
(A) 460
(B) 560
(C) 540
(D) 640
ANSWER KEY:
Q1. (A) Total surface area/सम्पूर्ण पृष्ठ का क्षेत्रफल = 2 pr (h + r)
=
= 88 × 34 = 2992 cm.2/सेमी.2
Q2. (D) According to the question/प्रश्नानुसार
A : B = 7 : 9
C = A + 12 ....(i)
B = C + 12 ...(ii)
From (i) and (ii), we get/(i) और (ii) से, हम प्राप्त करते हैं
B = A + 12 + 12
B = A + 24
2 = 24
1 = 12
7 = 84
C's present age/C की वर्तमान आयु = 84 + 12 = 96 years/वर्ष
Q3. (A) We know that, in a regular polygon sum of interior and exterior angles is 360o
हम जानते हैं कि, एक समबहुभुज में आन्तरिक और वाह्य कोण का योग 360o होता है |
5 = 360o
1 = 72o
Number of sides in regular polygon/समबहुभुज में भुजाओं की संख्या = 360o/72o = 5
Q4. (D)
Using componendo and dividendo rule/योगान्तारानुपात नियम से,
Q5. (C) x = 8 + 2,
Q6. (C) PM = MQ = 15
RN = NS = 12
In ΔOPM/ΔOPM में,
OP2 = PM2 + OM2
OP2 = 152 + 122
OP2 = 225 + 144
OP2 = 369
Now in ΔORN/अब ΔORN में,
OR2 = ON2 + RN2
OP2 - RN2 = ON2
ON2 = 369 – 144 = 225
ON = 15
Q7. (B)
=
=
= = 1
Q8. (A) Cost price of the first article/पहली वस्तु का क्रय मूल्य = = Rs.340
Cost price of the second article/दूसरी वस्तु का क्रय मूल्य = = Rs.460
Loss/हानि = 460 + 340 – 782 = Rs.18
Q9. (B) Simple interest for two years/दो वर्षों के लिए साधारण ब्याज = Rs./रु.1500
Simple interest for first year/पहले वर्ष के लिए साधारण ब्याज = Rs./रु.750
Compound interest for second year/दूसरे वर्ष के लिए चक्रवृद्धि ब्याज
= Rs./रु.1575 – Rs./रु.750 = Rs./रु.825
Rate of interest/ब्याज की दर =
Q10. (D) Let x kg. rice he sold at 8% profit. /माना 8% लाभ पर बेचा जाने वाला चावल x किग्रा. था |
According to the question/प्रश्नानुसार,
108x – 120x = – (8 × 960)
12x = 8 × 960
x = 640