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एक परीक्षा जिसमें अधिकतम अंक 500 है, A, B से 10% कम अंक प्राप्त करता है, B, C से 25% अधिक अंक प्राप्त करता है व C, D से 20% कम अंक प्राप्त करता है। यदि A को 360 अंक मिले हो तो D को कितने प्रतिशत अंक मिले?
A) 50 B) 70 C) 75 D) 80
Sol :
Let marks obtained by D = x
C's marks = 0.80x
B's marks = 1.25 (0.80x)
A's marks = (0.90) (1.25) (0.80x)
= 0.9x
But 0.9x = 360 ⇒ x = 400
Marks obtained by D
=
2.) A person can row a boat d km. upstream and the same distance downstream in 5 hours 15 minutes. Also, he can row the boat 2d km. upstream in 7 hours. How long will it take to row the same distance 2d km. downstream?
एक व्यक्ति एक नाव को d किमी. धारा के प्रतिकूल व इतनी ही दूरी को धारा के अनुप्रवाह में 5 घंटे 15 मिनट में खेता है। वह 2d किमी. को धारा के प्रतिकूल 7 घंटे में खेता है तो 2d किमी. को धारा के अनुप्रवाह में खेने में उसे कितना समय लगेगा?
A) 3.5 B) 14 C) 7 D) 5
Sol:
Let the speed of boat and stream be x and y kmph respectively.
According to question
=5 hours 15 min. or 21/4hours ......(i)
and ..... (ii)
From eq. (i) and (ii)
Hence, the person will take hours to row 2d km. distance downstream in 3.5hrs .
3.) The compound interest on an amount of Rs. 15000 after 2 years is Rs. 2496. What is the rate of interest p.c.p.a.?
रू. 15000 की राशि पर 2 वर्ष में उपचित चक्रवृद्धि ब्याज रू. 2496 है। प्रतिशत प्रति वर्ष ब्याज की दर क्या है?
A) 4% B) 5% C) 6% D) 8%
Sol :
r = 8%
4.) A number is 2 more than thrice the second number and 4 times the smaller number is 5 more than the greater number. What is greater number?
एक संख्या दूसरी संख्या के तीन गुने से 2 अधिक है और छोटी संख्या का 4 गुना बड़ी संख्या से 5 अधिक है। बड़ी संख्या क्या है?
A) 21 B) 23 C) 29 D) 31
Sol :
Let the greater and smaller number be x and y respectively.
4y = x + 5 ------ (I)
x = 3y+2 ------- (II)
From equation (I) and (II)
y = 7
x = 23
5.) The average of 8 numbers is 38.4. Out of these numbers, the average of 7 number is 39.2. The 8th number
8 संख्याओं का औसत 38.4 है। इन संख्याओं में से 7 संख्याओं का औसत 39.2 है। 8 वीं संख्या है-
A) 31.5 B) 32.8 C) 33.7 D) 34.5
Sol :
Sum of 8 numbers = 38.4 × 8 = 307.2
Sum of 7 numbers = 39.2 × 7 = 274.4
Therefore 8th number = 307.2 – 274.4 = 32.8
6.) The twice of sum of the ages of a father and his son is 8 times the age of the son. If the average age of the father and the son is 28 years, what is father's age?
एक पिता और उसके पुत्र की आयु का दुगुना पुत्र की आयु का 8 गुना है। यदि पिता और पुत्र की औसत आयु 28 वर्ष है, तो पिता की आयु क्या है?
A) 42 B) 45 C) 50 D) 55
Sol :
Let father's age be x year and son's age be y year.
According to question,
2(x+y) = 8y _______(I)
and = 28
or, x+y = 56 years__________(II)
From equation (I) and (II)
8 y = 112
y = 14 years, hence x = 42 years
7.) The diagonal of a rectangle is 17 cm long and its perimeter is 46 cm. Find the area of the rectangle.
एक आयत का विकर्ण 17 सेमी लंबा है और उसका परिमाप 46 सेमी है। आयत का क्षेत्रफल ज्ञात कीजिए।
A) 100 B)110 C) 115 D) 120
Sol :
2(l+b) = 46
(l + b)2 = (23)2
(l2 + b2 ) +2lb = 529
172 + 2lb = 529 => lb = 120
Area = l × b = 120 cm2
8.) A mixture of 40 litres of milk and water contains 30% water. How much milk should be added to this mixture so that the new mixture contains 80% milk?
40 लीटर दूध और पानी के एक मिश्रण में 30% पानी है। इस मिश्रण में कितना दूध मिलाया जाना चाहिए जिससे कि नए मिश्रण में 80% दूध हो जाए?
A) 10 B) 15 C) 20 D) 25
Sol :
Water in 40 litres of mixture = = 12 litres
So, milk= 40 – 12=28 litres
Let x litres of milk be added to it –
According to question
x = 20
Milk to be added = 20 litres
9.) After a discount of 20% Asmita bought an item for Rs.9600.Asmita sold it to other person and earned a profit of 18% on the original price. At what price other person bought the item?
अस्मिता ने 20% की छूट के बाद 9600 रूपए में एक वस्तु खरीदी। अस्मिता ने इसे एक अन्य व्यक्ति को बेच दिया और मूल कीमत पर 18% का लाभ अर्जित किया।दूसरे व्यक्ति ने वह वस्तु किस कीमत पर खरीदी?
A) 14185 B) 14160 C) 14250 D) 14125
Sol :
80% of M.P. = 9600
M.P. = Rs. 12000
Required amount = = Rs. 14160
10.) Find the value of ?
का मान ज्ञात कीजिये?
A) 2 B) 3 C) 9 D) 11
Sol :
Answers:
Q.1.) D
Q.2.) A
Q.3.) D
Q.4.) B
Q.5.) B
Q.6.) A
Q.7.) D
Q.8.) C
Q.9.) B
Q.10.) B