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Q1 - The weights of zinc, copper and aluminum in an alloy in the ratio 3:4:5 In the alloy weighing 60kg. the difference in weights of zinc and aluminum is.
एक मिश्र धातु में जिंक, कॉपर, ऐलुमिनियम का भार 3:4:5 के अनुपात में है। 60किग्रा. भार के मिश्रधातु में जिंक तथा ऐलुमिनियम के भार में अन्तर है।
(1) 5 kg. /किग्रा.
(2) 6 kg. /किग्रा.
(3) 8 kg. /किग्रा.
(4) 10 kg. /किग्रा.
Q2 - The shade of 18 ft. high pole is 20 ft. Find out the length of shade of 27 ft. long pole?
18 फीट ऊंचे स्तम्भ की परछाई 20 फीट है। 27 फीट लंबे स्तम्भ की परछाई की लंबाई ज्ञात कीजिए?
(1) 28 ft. /फीट
(2) 29 ft. /फीट
(3) 30 ft. /फीट
(4) 31 ft. /फीट
Q3 - If the height of a cone is increased by 50% then what is the percentage increase in the volume of cone?
यदि एक शंकु की ऊँचाई में 50% वृद्धि कर दी जाती है, तो शंकु के आयतन में प्रतिशत वृद्धि क्या है?
(1) 25%
(2) 50%
(3) 75%
(4) 100%
Q4 - The sum of the squares of two consecutive natural numbers in 421. Find the numbers.
दो क्रमागत प्राकृतिक संख्याओं के वर्गों का योगफल 421 है तो संख्यायें ज्ञात कीजिए।
(1) 14 and 15
(2) – 14 and – 15
(3) 19 and 10
(4) – 19 and – 10
Q5 - A two-digit number is 5 times the sum of its digit and is also equal to 5 more than twice the product of its digits. Find the number.
एक दो अंकों की संख्या अपने अंकों के योगफल के पाँच गुना और अंकों को गुणनफल के दुगुने से पांच अधिक, के बराबर है। तो संख्या ज्ञात कीजिए।
(1) 35
(2) 54
(3) 45
(4) 65
Q6 - The difference (in rupees) in discounts between two successive discounts of 8% each and a single discount of 16% on Rs.1200 is-
रू. 1200 पर 8% की दो उत्तरोत्तर कटौतियों और 16% की एकल कटौती के बीच अन्तर (रूपये में) है।
(1) 8.94
(2) 7.68
(3) 6.45
(4) 8.68
Q7 - A cricketer scored 179 runs in the first test and 259 runs is the second. How many runs should be score in the third tests so that his average score in the three tests would be 230 runs?
एक क्रिकेटर ने पहले टेस्ट में 179 रन बनाये और दूसरे टेस्ट में 259 रन। उसे तीसरे टेस्ट में कितने रन बनाने चाहिए जिससे तीनों टेस्टों में उसके औसत रन 230 हो जायें?
(1) 252
(2) 256
(3) 262
(4) 270
Q8 – If the compound interest on a certain sum for 2 years at 10% per annum is Rs.4200, then the simple interest on it at the same rate for 2 years would be
यदि किसी निश्चित धनराशि पर 10% वार्षिक ब्याज की दर से 2 वर्ष में चक्रवृद्धि ब्याज 4200 रु. है, तो 2 वर्ष में उसी ब्याज दर से साधारण ब्याज होगा -
(1) Rs./रु.3900
(2) Rs./रु.3600
(3) Rs./रु.3800
(4) Rs./रु.4000
Q9 – A sum of money amounts to Rs.10962 after 5 years and Rs.13003.2 after 8 years at the same rate of simple interest. What is the rate of interest per annum?
एक धनराशि समान साधारण ब्याज की दर से 5 वर्ष के बाद 10962 रु. और 8 वर्ष के बाद 13003.2 रु. हो जाती है | प्रति वर्ष ब्याज की दर क्या है ?
(1) 5%
(2) 9%
(3) 8%
(4) 10%
Q10 - If a shopkeeper marks the price of goods 60% more than their cost price and allows a discount of 40% what is his gain or loss percent?
यदि कोई दुकानदार वस्तुओं पर क्रय मूल्य से 60% अधिक कीमत अंकित करता है और 40% की छूट देता है, तो उसका लाभ या हानि प्रतिशत कितना है?
(1) 4% profit/लाभ
(2) 4% loss/हानि
(3) 6% profit/लाभ
(4) 6% loss/हानि
ANSWERS
Q1. (4) – Let the weight of Zinc, Copper and Aluminum respectively 3x,4x and 5x
माना जिंक, कॉपर और एलुमिनियम का भार क्रमशः 3x,4x और 5x हैं |
3x + 4x + 5x = 60
x = 5
Required difference/अभीष्ट अन्तर = 25 – 15 = 10 kg./किग्रा.
Q2. (3) – Shadow of 1 ft. high pole/1 फीट ऊँचे खम्भे की परछाई = 
Shadow of 27 ft. high pole/27 फीट ऊँचे खम्भे की परछाई = 
= 30 ft. /फीट
= 30 ft. /फीट
Q3. (2) – Let h and r be the height and radius of the cone respectively/माना शंकु की ऊंचाई और त्रिज्या क्रमशः h और r है |
Volume/आयतन = 
New height/नयी ऊँचाई = 
New volume of the cone/शंकु का नया आयतन = 
Change in volume/आयतन में परिवर्तन = 
= 
Percentage increase/प्रतिशत वृद्धि = 
= 50%
= 50%
Q4. (1) – Let the required natural numbers be x and (x+1).
माना अभीष्ट प्राकृतिक संख्याएं x और (x+1) हैं |
Then/तो, x2 + (x + 1) = 421
⇒ x2 + x2 + 1 + 2x = 421
⇒ x2 + x – 210 = 0
⇒ (x + 15) (x – 14) = 0
⇒ x = – 15, x = 14
But – 15 is not a natural number/लेकिन – 15 एक प्राकृतिक संख्या नहीं है |
Required numbers are 14 and 15/अभीष्ट संख्याएं 14 और 15 हैं |
Q5. (3) – Let the number be (10x + y)/माना संख्या (10x + y) है |
According to the question/प्रश्नानुसार,
(x + y) × 5 = 10x + y
y = 
… (I)
… (I)
and/और 2xy + 5 = 10x + y
2x × 
+ 5 = 10x + 
+ 5 = 10x + 
+ 5 = 10x + 
10x2 + 20 = 40x + 5x
2x2 – 9x + 4 = 0
x = 4, x = 
From x = 4 we get y = 5/ x = 4 से हम y = 5 प्राप्त करते हैं
Number/संख्या = 45
Q6. (2) – Single discount equivalent to two successive discounts 8% each
प्रत्येक 8% की दो क्रमागत छूटों के समतुल्य एकल छूट
= 
= 15.36%
= 15.36%
Now, Required difference/अब, अभीष्ट अन्तर =
= 
= 7.68
= 7.68
Q7. (1) – Required runs/अभीष्ट रनों की संख्या = 230 × 3 – 179 – 259
= 690 – 179 – 259 = 252
Q8. (4) – 4200 = 
P = 20000
SI = 
= Rs./रु.4000
= Rs./रु.4000
Q9. (2) – P + SI for 8 years/8 वर्ष का साधारण ब्याज = Rs./रु.13003.2
P + SI for 5 years/5 वर्ष का साधारण ब्याज = Rs./रु.10962
SI for 3 years/3 वर्ष का साधारण ब्याज = Rs./रु.2041.2
SI for 5 years/5 वर्ष का साधारण ब्याज = 
= Rs./रु.3402
= Rs./रु.3402
P = Rs./रु.10962 – Rs./रु.3402 = Rs./रु.7560
and Rate/और दर = 
= 9%
= 9%
Q10. (2) – Let the C.P. be Rs.100/माना क्रय मूल्य 100 रु. है |
M.P./अंकित मूल्य = Rs./रु.160
Discount/छूट = 
= Rs./रु.64
= Rs./रु.64
S.P./विक्रय मूल्य = Rs./रु.160 – Rs./रु.64 = Rs./रु.96
Loss/हानि% = 
= 4%
= 4%
