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Q.1. If a1/3
+ b1/3 + c1/3 = 0, then a relation among a, b, c is
यदि a1/3
+ b1/3 + c1/3 = 0, तो a, b, c के मध्य एक सम्बन्ध है
(A) a + b + c = 0
(B) (a+ b
+ c)3 = 27 abc
(C) a + b + c = 3abc
(D) a3 + b3 + c3 = 0
Q.2. A trader makes a profit equal to the selling price of 75 articles when he sold 100 of the articles. What % profit did he make in the transaction?
एक व्यापारी जब 100 वस्तुओं को बेचता है तो 75 वस्तुओं के विक्रय मूल्य के बराबर लाभ पाता है, तो पूरे सौदे में कितने प्रतिशत का लाभ हुआ ?
(A) 33.33%
(B) 75%
(C) 300%
(D) 150%
Q.3. A candidate who gets 20% marks fails by 10 marks but another candidate who gets 42% marks gets 12% more than the passing marks. Find the maximum marks.
एक छात्र जो 20% अंक पाता है 10 अंको से असफल होता है। लेकिन दूसरा छात्र जो 42% अंक पाता है तो अनुत्तीर्ण अंक से 12% अंक अधिक पाता है, तो अधिकतम अंक ज्ञात कीजिये ।
(A) 50
(B) 100
(C) 150
(D) 200
Q.4. Peter got 30% of the maximum marks in an examination and failed by 10 marks. However, Paul who took the same examination got 40% of the total marks and got 15 marks more than the passing marks in the examination. Find the maximum marks.
पीटर एक परीक्षा में अधिकतम अंक का 30% अंक पाता है और 10 अंको से असफल हो जाता है जबकि पॉल वही परीक्षा देता है और पूरे का 40% अंक पाता है और उत्तीर्ण अंक से 15 अंक अधिक पाता है तो परीक्षा का अधिकतम अंक क्या है?
(A) 350
(B) 175
(C) 250
(D) 185
Q.5. The edges of a triangular board are 6 cm, 8 cm. and 10 cm. The cost of painting it at the rate of 9 paise per cm2 is -
एक त्रिभुजाकार बोर्ड के किनारे 6 सेमी., 8 सेमी. और 10 सेमी के हैं । इसे 9 पैसे प्रति सेमी2 की दर से पेंट कराने का व्यय है?
(A) Rs./रु.2.00
(B) Rs./रु.2.16
(C) Rs./रु.2.48
(D) Rs./रु.3.00
Q.6. The ratio of the age of a father to that of his son is 5: 2 .If the product of their ages in years is 1000, then the father's age (in years) after 10 years will be -
एक पिता की आयु का उसके पुत्र की आयु से अनुपात 5: 2 है। यदि उनकी आयुओं का वर्षो में गुणनफल 1000 हो, तो 10 वर्ष के उपरांत पिता की आयु (वर्षो में) होगी-
(A) 50
(B) 60
(C) 80
(D) 100
Q.7. The average of eight successive numbers is 6.5. The average of the smallest and the greatest numbers among them will be-
आठ क्रमिक संख्याओं का औसत 6.5 है। उनमें से सबसे छोटी तथा सबसे बड़ी संख्याओं का औसत होगा-
(A) 4
(B) 6.5
(C) 7.5
(D) 9
Q.8. A man covers the journey from a station A to station B at a uniform speed of 36 km./hr. and returns back to A with a uniform speed of 45 km./hr. His average speed for the whole journey is -
एक व्यक्ति किसी स्टेशन A से स्टेशन B की यात्रा 36 किमी./घं. की एक समान चाल से तय करता है, तथा वह 45 किमी./घं. की एक समान चाल से वापस A पर आता है। पूरी यात्रा के लिए औसत चाल क्या है?
(A) 40 km./hr. / (किमी./घंटा)
(B) 40.5 km./hr. / (किमी./घंटा)
(C) 41 km./hr. / (किमी./घंटा)
(D) 42 km./hr. / (किमी./घंटा)
Q.9. A cricket batsman had a certain average of runs for his 11 innings. In the 12th innings, he made a score of 90 runs and there by his average of runs was decreased by 5. His average of runs after 12th innings is :
किसी क्रिकेट बल्लेबाज का उसके द्वारा खेली गयी 11 पारियों के रनों का केाई औसत था। 12 वीं पारी में उसने 90 रन बनाए तथा इससे उसके रनों का औसत 5 कम हो गया। 12 पारी के बाद उसके रनों का औसत है -
(A) 155
(B) 150
(C) 145
(D) 140
Q.10. Due to an increase of 20% in the price of eggs, 2 eggs less are available for Rs.24. The present rate of eggs per dozen is:
अंडो के मूल्य में 20% की वृद्धि होने से रू. 24 में 2 अंडे कम मिलने लगे। अंडो का वर्तमान प्रति दर्जन भाव है -
(A) Rs. 25.00
(B) Rs. 26.20
(C) Rs. 27.80
(D) Rs. 28.80
ANSWER KEY:
Q1. (B) a1/3 + b1/3 + c1/3 = 0
a + b + c = 3 (abc)1/3
(a + b + c)3 = 27 abc
(a + b + c)3 = 27 abc
Q2. (C)
CP = 100 – 75 = 25
Gain/लाभ % = 
= 300%
Q3. (B) Pass percentage/उत्तीर्ण प्रतिशत = 42% – 12%
= 30%
30% of x – 20% of x = 10
10% of x = 10
x = 100 marks/अंक
Q4. (C) Let x be the maximum marks in the examination.
माना परीक्षा में अधिकतम अंक x हैं ।
30% of x + 10 = 40% of x – 15
10% of x = 25
x = 250
Q5. (B) Area of triangle/त्रिभुज का क्षेत्रफल = 
= 
= 
= 24 cm.2
Cost of painting/पेंटिंग की लागत = 
= Rs.2.16
= Rs.2.16
Q6. (B) Let present age of father be 5x and his son be 2x.
माना पिता की वर्तमान आयु 5x और उसके पुत्र की आयु 2x है ।
5x × 2x = 1000
x2 = 100
x = 10
The father's age after 10 years/10 वर्ष बाद पिता की आयु
= 10 + 10 × 5
= 60 years/वर्ष
Q7. (B) According to the question/प्रश्नानुसार,
8x + 28 = 6.5 × 8 = 52
8x = 24
x = 3
Required average/अभीष्ट औसत = 
= 6.5
= 6.5
Q8. (A) Average speed/औसत चाल = 
= 40 km./hr. / (किमी./घंटा)
Q9. (C) Let average of 11 innings be x
माना 11 पारियों का औसत x है ।
12x – 60 = 11x + 90
x = 150
Required average/अभीष्ट औसत = 150 – 5 = 145
Q10. (D) Let the original price of egg be Rs. x.
माना अंडे की मूल कीमत x रु. है ।
and increased price/और बढ़ा हुआ मूल्य = 
= Rs. 1.2 x
= Rs. 1.2 x
According to the question/प्रश्नानुसार,
x = 2
Present price of 1 dozen eggs/1 दर्ज़न अण्डों का वर्तमान मूल्य = 1.2 × x × 12
= Rs.28.8
