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Q.1. The product of two numbers is 120 and the sum of their squares is 289.The larger of the two numbers is -
दो संख्याओं का गुणनफल 120 है और उनके वर्गो का योग 289 है। दोनों संख्याओं में बड़ी संख्या क्या है?
(A) 8
(B) 23
(C) 15
(D) 12
Q.2. Arun takes twice as much time as Mradul and thrice as much as Chaman to complete a piece of work. They together complete the work in 1 day. In what time will Arun alone complete the work?
एक कार्य करने में अरुण, मृदुल से दोगुना और चमन से तिगुना समय लेता है। वे एक साथ एक दिन में कार्य को पूरा कर सकते हैं। कितने समय में अरुण अकेले कार्य को पूरा कर पायेगा ?
(A) 4 days/दिन
(B) 5 days/दिन
(C) 9 days/दिन
(D) 6 days/दिन
Q.3. If the total cost of 73 articles having total cost is Rs. 5110 and the total selling price of 89 such articles is Rs. 5607, then in the transaction, there will be -
यदि 73 वस्तुओं की कुल लागत मूल्य 5110 रू. है और इस प्रकार की 89 वस्तुओं का कुल विक्रय मूल्य 5607 रू. है तो सौदे में होगा-
(A) Loss of 15%/15% की हानि
(B) Gain of 10%/10% का लाभ
(C) Loss of 10%/10% की हानि
(D) Gain of 15%/15% का लाभ
Q.4. If the length of the parallelepiped is 3 times of its breadth and 6 times of its height and its volume is 768000 cm³, then its total surface area will be:
यदि एक घनाभ का लम्बाई, इसकी चौड़ाई का 3 गुना और ऊँचाई का 6 गुना है तथा इसका आयतन 768000 घन सेमी हो, तो इसका कुल पृष्ठीय क्षेत्रफल होगा-
(A) 6400 cm.²/सेमी.2
(B) 64000 cm.²/सेमी.2
(C) 3200 cm.²/सेमी.2
(D) 32000 cm.²/सेमी.2
Q.5. Find the sum of the following A.P.
निम्नलिखित समांतर श्रेणी का योग ज्ञात कीजिये ।
1, 3, 5, 7, ……. , 199
(A) 1000
(B) 15000
(C) 10000
(D) 1500
Q.6. What will be the difference between the compound interest and simple interest at the rate of 5% p.a. on an amount of Rs.8000 at the end of two years and three years?
8000 रुपये की धनराशि पर 5% वार्षिक ब्याज की दर से दो वर्ष और तीन वर्ष के अंत में चक्रवृद्धि ब्याज और साधारण ब्याज के बीच क्या अंतर होगा?
(A) Rs.20 and Rs.61.5
(B) Rs.20 and Rs.60.5
(C) Rs.20 and Rs.64
(D) Rs.20.5 and Rs.61
Q.7. There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate?
साधारण ब्याज पर 6 वर्षों में एक राशि में 60% की वृद्धि हुई है। रु. 12,000 का उसी दर पर 3 साल बाद चक्रवृद्धि ब्याज क्या होगा?
(A) Rs. 3972
(B) Rs. 3564
(C) Rs. 3729
(D) Rs. 3529
Q.8. If 9th term of an A.P. is zero, its 29th term is how many times of the 19th term?
यदि A.P का 9 वां पद शून्य है, तो इसका 29 वां पद 19 वें पद का कितना गुना है?
(A) 4
(B) 3
(C) 1.5
(D) 2
Q.9. The difference between the compound interest and simple interest in two years at 8% p.a. is Rs.256. What is the principal amount?
8% वार्षिक ब्याज पर दो वर्ष में चक्रवृद्धि ब्याज और साधारण ब्याज के बीच अंतर 256 रुपये है। मूलधन राशि क्या है?
(A) Rs.40000
(B) Rs.80000
(C) Rs.60000
(D) Rs.90000
Q.10. The difference between simple interest and compound interest on Rs. 900 for one year at 10% per annum reckoned half yearly is:
900 रु. पर 10% प्रति वर्ष ब्याज जोकि अर्द्धवार्षिक रूप से उपचयित होता है, पर एक वर्ष के लिए साधारण ब्याज और चक्रवृद्धि ब्याज के बीच का अंतर है:
(A) Rs. 2.15
(B) Rs. 2.25
(C) Rs. 2.35
(D) Rs. 2.15
Answer Key:
Q1. (C) Let the numbers be a and b/ माना संख्याएं a और b हैं |
a × b = 120 .........(I)
and/ और, a2 + b2 = 289 ..........(II)
(a +b)2 = a2 + b2 + 2ab
= 289 + 2 × 120 = 529
a + b = 23 ..........(III)
From equation (I) and (III), we get/ समीकरण (I) और (III) से, हम प्राप्त करते हैं
a = 15, b = 8
Larger number/ बड़ी संख्या = 15
Q2. (D) Let time taken by Chaman to complete the work/ माना चमन के द्वारा कार्य को पूरा करने में लिया गया समय = x days/दिन
Time taken by Arun/ अरुण द्वारा लिया गया समय = 3x days/दिन
and by Mradul/और मृदुल द्वारा लिया गया समय = (3x/2) days/दिन
According to the question/ प्रश्नानुसार,
x = 2
Time taken by Arun/ अरुण द्वारा लिया गया समय = 2 × 3 = 6 days/दिन
Q3. (C) C.P. of 73 articles/73 वस्तुओं का क्रय मूल्य = 5110
C.P. of 89 articles/89 वस्तुओं का क्रय मूल्य = 
= 6230
= 6230
Total S.P. of 89 articles/89 वस्तुओं का कुल विक्रय मूल्य = 5607
Loss/हानि = 6230 – 5607 = 623
Loss/ हानि % = 
= 10%
= 10%
Q4. (B) Length of the parallelepiped/ घनाभ की लम्बाई = 6x
Breadth of the parallelepiped/ घनाभ की चौड़ाई = 2x
Height of the parallelepiped/ घनाभ की ऊँचाई = x
According to the question/प्रश्नानुसार,
6x × 2x × x = 768000
12x3 = 768000
x3 = 64000
x = 40
Total surface area/ कुल पृष्ठीय क्षेत्रफल = 2 (12x2 + 2x2 + 6x2)
= 40x2 = 40 × 40 × 40 = 64000 cm.²/सेमी.2
Q5. (C) a + (n – 1) d = 199
1 + (n – 1) 2 = 199
1 + 2n – 2 = 199
2n = 200
n = 100
Sn = 
= 50 (1 + 199)
= 50 × 200 = 10000
Q6. (D) Difference at the end of the two years/दो वर्ष के अंत में अन्तर = 
= Rs.20
Difference at the end of the three years/तीन वर्ष के अंत में अन्तर
= 
= Rs.61
Q7. (A) According to the question/प्रश्नानुसार,
R = 10%
Compound interest/चक्रवृद्धि ब्याज = 
= Rs.3972
Q8. (D) 9th term/9 वां पद = 0
a1 + 8d
= 0
a29 = a1 + 28d = a1 + 8d + 20d = 0 + 20d = 20d
a19 = a1 + 18d = a1 + 8d + 10d = 0 + 10d = 10d
a19 = 2 a29
a29 = a1 + 28d = a1 + 8d + 20d = 0 + 20d = 20d
a19 = a1 + 18d = a1 + 8d + 10d = 0 + 10d = 10d
a19 = 2 a29
Q9. (B) P = 
= 80000
= 80000
Q10. (B) Simple interest at the end of one year/1 वर्ष के अन्त में साधारण ब्याज = 
= Rs.90
= Rs.90
Compound interest at the end of one year/1 वर्ष के अन्त में चक्रवृद्धि ब्याज
= 
= 992.25 – 900 = Rs.92.25
Required difference/अभीष्ट अन्तर = 92.25 – 90 = 2.25
