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Q.1. If 
then find the value of 
then find the value of
यदि 
तो 
का मान ज्ञात कीजिये |
तो का मान ज्ञात कीजिये |
(A) 1
(B) 0
(C) – 1
(D) 2
Q.2. When a shopkeeper gives 10% discount on the list price of a toy his gain is 20%. If he had given a discount of 20%, his percentage of gain would have been-
जब एक दुकानदार एक खिलौने के सूचित मूल्य पर 10% छूट देता है, उसका लाभ 20% है। यदि वह इस पर 20% की छूट दे तो उसका प्रतिशत लाभ होता-
(A) 
%
%
(B) 
%
%
(C) 10 %
(D) 15 %
Q.3. The largest natural number which exactly divides the product of any four consecutive natural numbers, is
सबसे बड़ी प्राकृतिक संख्या जो कि लगातार चार क्रमागत प्राकृतिक संख्याओं के गुणनफल को विभाजित करती है, है
(A) 6
(B) 12
(C) 24
(D) 120
Q.4. An aeroplane flying horizontally 1 km. above the ground is observed at an elevation of 60o. After 10 seconds its elevation is observed to be 30o. The uniform speed of the aeroplane is -
एक हवाई जहाज जमीन से 1 किमी. ऊपर क्षैतिज उड़ रहा है, का उन्नयन कोण 60o प्रेक्षण किया जाता है। 10 सेकेण्ड बाद इसका उन्नयन कोण 30o प्रेक्षण किया जाता है। हवाई जहाज की एक समान चाल क्या है?
(A) 240 km/hr. / (किमी./घंटा)
(B) 
km/hr. / (किमी./घंटा)
km/hr. / (किमी./घंटा)
(C) 
km/hr. / (किमी./घंटा)
km/hr. / (किमी./घंटा)
(D) 
km/hr. / (किमी./घंटा)
km/hr. / (किमी./घंटा)
Q.5. If C.P of 20 tables is equal to the S.P of 25 tables. Find the loss percentage.
यदि 20 मेजों का क्रय मूल्य 25 मेजों के विक्रय मूल्य के बराबर है तो हानि प्रतिशत ज्ञात कीजिए।
(A) 12%
(B) 16%
(C) 20%
(D) 24%
Q.6. Mr. Tiwari invested Rs.25000 in two fixed deposits X and Y offering compound interest at 6% per annum and 8% per annum, respectively. If the total amount of interest accrued in two years through both fixed deposits is Rs.3518, then the amount invested in scheme X is -
श्री तिवारी रू. 25000 दो सावधि जमा X और Y में क्रमशः 6% प्रति वर्ष और 8% प्रति वर्ष चक्रवृद्धि ब्याज की दर से निवेश करते है। यदि दो वर्ष में दोनों सावधि जमा से रू. 3518 का ब्याज प्राप्त होता है तो स्कीम X में निवेश की गयी राशि है-
(A) Rs.12000
(B) Rs.13500
(C) Rs.15000
(D) Rs.16500
Q.7. If a man purchase 11 articles for Rs.10 and sold all the articles at the rate of 10 for Rs.11, the profit percent will be.
यदि एक आदमी 10 रू. में 11 वस्तुए खरीदता है और उन सभी को 11रू. में, 10 की दर से बेचता है तो प्रतिशत लाभ होगा -
(A) 10%
(B) 11%
(C) 21%
(D) 100%
Q.8. The Garibrath express can move at 45 km./hr. without its rake and the speed is diminished by a constant that varies as the square root of the number of wagons attached. If it is known that with 9 wagons, the speed is 30 km./hr., what is the greatest number of wagons with which the train can just move?
गरीब रथ एक्सप्रेस बिना किसी बोगी के 45 किमी./घं. की चाल से चल सकती है और इसकी चाल लगातार बोगी जोड़ने के वर्गमूल से घटती है। यदि यह पाया गया कि 9 बोगी के साथ चाल 30 किमी./घं. है तो ट्रेन को केवल चल सकने के लिये कितनी अधिकतम बोगियों की संख्या हो सकती है?
(A) 63
(B) 64
(C) 80
(D) 81
Q.9. If ABCD is a rhombus, then AB2 + BC2 + CD2 + AD2 equals to -
यदि ABCD एक समचतुर्भुज है, तो AB2 + BC2 + CD2 + AD2 बराबर है-
(A) AD2 + BC2
(B) AO2 + OC2
(C) AC2 + BD2
(D) 2(AO2 + OB2)
Q.10. A person sells two articles, each for the same price Rs.720. He incurs 20% loss on the first and 10% loss on the second. Find his overall percent loss.
एक व्यक्ति दो वस्तुएं प्रत्येक को 720 रू. में बेचता है। वह पहले पर 20% हानि प्राप्त करता है और दूसरे पर 10% हानि प्राप्त करता है। उसकी सम्पूर्ण प्रतिशत हानि ज्ञात कीजिए?
(A) 15.29%
(B) 23.16%
(C) 24.4%
(D) 21%
Answer Key:
Q1. (D) 
x3 = 1
= 
= 1 + 1 = 2
Q2. (A) Let the cost price of toy be Rs.100 and the marked price be Rs.x.
माना खिलौने का क्रय मूल्य 100 रु. और अंकित मूल्य x रु. है |
Selling price after a discount of 20% = 80% of 
20% की छूट के बाद विक्रय मूल्य = 
का 80%
का 80%
Profit % = 
– 100 = 
%
– 100 = %
Q3. (C) Product of any four consecutive natural numbers is always divisible by 24.
चार क्रमागत प्राकृतिक संख्याओं का गुणनफल हमेशा 24 से विभाजित होता है ।
Q4. (C)
Here/यहाँ 
Q5. (C) Required loss/अभीष्ट हानि % = 
= 20%
= 20%
Q6. (C) 
Þ 1.1236P + 29160 - 1.1664P = 2851
Þ 0.0428P = 642
Þ P = 15000
Q7. (C) C.P. of an article/वस्तु का क्रय मूल्य = 
S.P. of an article/वस्तु का विक्रय मूल्य = 
Profit/लाभ = 
- 
= 
- =
Profit/लाभ % = 
= 21%
= 21%
Q8. (D) S = 45 – 
30 = 45 – 
k = 5
and/और, 0 = 45 – 5
w = 81
Q9. (C) AO = OC, BO = OD
AB2 + BC2 + CD2 + AD2 = 2 [AO2 + OC2 + BO2 + DO2]
= 2 [2AO2 + BO2]
= 4 [AO2+ BO2]
Using, 
, 
,
= AC2 + BD2
Q10. (A) S.P. of each article = Rs.720
Total S.P. of both articles = 1440
C.P. of first article = 
= 900
= 900
C.P. of second article = 
= 800
= 800
Total C.P. of both articles = 900 + 800 = 1700
Overall percent loss = 
= 15.29%
= 15.29%
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