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Q(1) The probability that a bullet fired from a point will hit the target is ¼. Three such bullet are fired simultaneously towards the target from that very point. What is the probability that the target will be hit?
एक चली गोली के लक्ष्य में लगने की प्रयाकिता ¼ हैं| तीन ऐसी गोली एक लक्ष्य की ओर एक साथ चलायी गयी | तो क्या प्रायिकता हैं की लक्ष्य में गोली लगे ?
(1) 
(2) 
(3) 
(4) 
(5) 
(2) (3) (4) (5)
Q(2) A tank can be filled by three pipes A, B, C in 12 hrs, 16 hrs and 20 hrs respectively. Each pipe is open for one hour alternatively starting with A and followed by B and C respectively, if a drainage pipe is open alone for every seventh hour then tank will be filled in 22 hour and 40 minute. Find in how many hours the drainage pipe can empty the tank alone?
एक टंकी को तीन पाइप A, B और C क्रमश: 12 घंटे, 16 घंटे और 20 घंटे में भरते है | प्रत्येक पाइप को एक घंटे के लिए एकान्तर क्रम में खोला जाए, A प्रारम्भ करता हैं तथा B और C क्रमश: खोले जाते हैं, यदि प्रत्येक सातवें घंटे में एक निकासी नल को खोला जाए तो टंकी 22 घंटे 40 मिनट में भर सकती हैं| निकासी नल टंकी को कितनी दर में अकेले खली करेगा ?
(1) 6 (2) 8 (3) 11 (4) 13 (5) None of these
Q(3) Y varies with the sum of two numbers. One of which directly varies with X and the other varies inversely with X. When X=0.5 then Y = 12 and when X= 2 then Y = 18. Find the value of Y when X = 4?
Y का मान दो संख्या के योग पर निर्भर करता हैं | एक संख्या अनुक्रमती हैं X के और दूसरी संख्या X के व्युत्क्रमानुपाती हैं | जब X= 0.5 है तो Y = 12 हैं और जब X= 2 है तो Y = 18 हैं | Y का मान ज्ञात कीजिये जब X= 4 हैं?
(1) 32 (2) 33 (3) 34 (4) 35 (5) 36
(4) Three container have a mixture of milk and water in the ratio 10 : 12 : 15. Ratio between water and milk in each container is 1 : 4, 3 : 5 and 5 : 7 respectively. If the contain of all three container poured in 4th container then find the ratio of milk and water in 4th container?
तीन बर्तन में दूध और पानी का मिश्रण 10 : 12 : 15 में हैं| यदि प्रत्येक बर्तन में पानी और दूध का अनुपात क्रमश: 1 : 4 , 3 : 5 और 5 : 7 है| यदि तीनो बर्तन के मिश्रण को चौथे बर्तन में किया जाए तो चौथे बर्तन में दूध और पानी का अनुपात ज्ञात कीजिये ?
(1) 100 : 53 (2) 82 : 33 (3) 97 : 52 (4) 71 : 35 (5) 63 : 20
(5) Rahul start a business with Rs. 10000, Deepak joins him after 2 month with 20% more investment than Rahul, after 2 month Shashank joins him with 40% less than Deepak. If the profit earned by them at the end of the year is equal to the twice of the difference between investment of Rahul and ten times the investment of Shashank. Find the profit of Rahul?
राहुल एक व्यापर को 10000 रू से प्रारम्भ करता हैं, 2 माह के बाद दीपक राहुल से 20% अधिक निवेश करके व्यापर में जुड़ता है, अगले दो माह बाद शशांक दीपक से 40% कम निवेश करके जुड़ता हैं | वर्ष के अंत में इन्हें प्राप्त लाभ राहुल के निवेश और शशांक के निवेश के दसगुने के दुगना हैं | राहुल का लाभ ज्ञात कीजिये ?
(1) 50000 (2) 45000 (3) 40000 (4) 55000 (5) 60000
(6) The price of the sugar is decreased by 20%. If Naimish decreased his expenditure on sugar by 25%, then by what percent Naimish can decrease/increase his consumption?
चीनी के दाम में 20% की कमी आई हैं | यदि नैमिष चीनी पर होने वाले व्यय को 25% से कम कर दें तो नैमिष के चीनी की खपत में कितने प्रतिशत की कमी/वृद्धि होगी?
(1) 8% increase (2) 8% decrease (3) 6.25 increase (4) 6.25 decrease (5) No Change
(7) A shopkeeper sells three items P, Q and R and incurs a loss of 21%, 11% and 10% respectively. The overall loss percentage on selling P and Q items is 14.33% and that of Q and R items is 10.4%. Find the overall loss percentage on selling the three items?
एक दूकानदार को तीन वास्तु P,Q और R पर क्रमश: 21%, 11% और 10% की हानि होती हैं| P और Q वस्तु पर कुल हानि 14.33% है तथा Q और R पर कुल हानि 10.4% हैं | तीनो वस्तुओं की बिक्री पर कुल हानि प्रतिशत ज्ञात कीजिये ?
(1) 14% (2) 11.61% (3) 10.40% (4) 12.16% (5) 13%
(8) One quantity of sugar at Rs 9.30 per Kg is mixed with another quality at a certain rate in the ratio 8:7. If the mixture so formed is sold at Rs 12 per Kg, what is the rate per Kg of the second quality of sugar, if the mixture is sold at a profit of 20%?
9.30 रू प्रति किग्र मूल्य की चीनी की कुछ मात्रा एक निश्चित मूल्य की दूसरे प्रकार की चीनी से 8 : 7 अनुपात में मिलायी गयी और मिश्रण को 12 रू प्रति किग्र की दर पर बेचा गया, दूसरे प्रकार की चीनी का मूल्य प्रति किग्रा क्या हैं , यदि मिश्रण को 20% लाभ पर बेचा गया हैं ?
(1) 9.80 (2) 9.45 (3) 10.80 (4) 10.70 (5) 11
(9) The number of ways which a mixed double tennis matches can be arranged amongst 5 married couples if no husband and wife play in the same match is:
कितने प्रकार से टेनिस के मिश्रित युगल के मैच में 5 विवाहित जोड़ो को व्यवस्थित किये जा सकते हैं कि कोई भी पति और पत्नी एक ही मैच में न खेले-
(1) 30 (2) 45 (3) 60 (4) Cannot be determined (5) None of these
(10) Three examiner Manish, Puneet, Ajay are evaluating answer script of a subject. Manish is 40% more efficient than Puneet, who is 20% more efficient than Ajay. Manish takes 10 days less than Puneet to complete the evaluation work. Manish starts the evaluation work and works for 10 days and then Puneet takes over. Puneet evaluates for next 15 days and then stops. In how many days, Ajay can complete the remaining evaluation work?
तीन परीक्षक मनीष, पुनीत, अजय एक विषय की उत्तर पुस्तिका का मूल्यांकन कर रहे हैं । मनीष पुनीत से 40% अधिक सक्षम है, जो अजय से 20% अधिक सक्षम है । मनीष को मूल्यांकन कार्य पूरा करने में पुनीत से 10 दिन कम लगते हैं । मनीष 10 दिनों के लिए मूल्यांकन कार्य शुरू करता है और और फिर पुनीत उससे कार्य ले लेता है । पुनीत अगले 15 दिनों के लिए मूल्यांकन करता है और फिर रोक देता है । कितने दिनों में अजय शेष मूल्यांकन का कार्य पूरा कर सकता है?
(1) 8 (2) 7.6 (3) 7.2 (4) 6.5 (5) None of these
Answer:
Ques- 1
Sol-(1)Probability of not hitting the target =
=
Sol-(5)
240
A = 12 ---------- 20
B = 16 ---------- 15
C = 20 ---------- 12
In every 6 hr 94 unit can be filled (i.e. 20+15+12+20+15+12=94)
In 22 hour this can be happen thrice
So, 282 unit can be filled
For 22 hr pipe A will be open and will fill 20 unit
For last 40 minute pipe B will be open and can fill 10 unit
So, 282+20+10=312 unit is filled
Water that is drained out is 312 – 240 = 72
72 unit in 3 hours
240 unit in 10 hours
Ques-3
Ques-5
Ques-7
C.P of the mixture =
Let the C.P of second type sugar = x
We know that in a mixed double match there are two males and two females.
Two male members can be selected in 5C2=10 ways.
Having selected two male members, 2 female members can be selected in 3C2 = 3ways.
Two male and two female members can arranged in a particular game in 2 ways.
Total number of arrangements = 10×3×2 = 60 ways
240
A = 12 ---------- 20
B = 16 ---------- 15
C = 20 ---------- 12
In every 6 hr 94 unit can be filled (i.e. 20+15+12+20+15+12=94)
In 22 hour this can be happen thrice
So, 282 unit can be filled
For 22 hr pipe A will be open and will fill 20 unit
For last 40 minute pipe B will be open and can fill 10 unit
So, 282+20+10=312 unit is filled
Water that is drained out is 312 – 240 = 72
72 unit in 3 hours
240 unit in 10 hours
Ques-3
Sol-2()
Y= A + B
Y= A + B
Ques-4
Sol-(3)
Sol-(1)
10000×12 : 12000×10 : 7200 × 8 = 25 : 25 : 12
Profit = 2× (72000-10000) = 124000
A= 50000
10000×12 : 12000×10 : 7200 × 8 = 25 : 25 : 12
Profit = 2× (72000-10000) = 124000
A= 50000
Ques-6Sol-(4)
Decrease by 6.25%
Decrease by 6.25%
Ques-7
Sol-(4)
Let the cost of the item P, Q, R = Rs p, Rs q, Rs r
SP of the item P=0.79p
SP of the item Q=0.89q
SP of the item R=0.9r
Overall loss percentage of the 1st two items = 14.33%
p : q = 1 : 2
Overall loss percentage of the 2nd and 3rd item =10.4%
q : r = 2 : 3
p : q : r =1 : 2 : 3
Overall loss percentage:
Let the cost of the item P, Q, R = Rs p, Rs q, Rs r
SP of the item P=0.79p
SP of the item Q=0.89q
SP of the item R=0.9r
Overall loss percentage of the 1st two items = 14.33%
p : q = 1 : 2
Overall loss percentage of the 2nd and 3rd item =10.4%
q : r = 2 : 3
p : q : r =1 : 2 : 3
Overall loss percentage:
Ques-8
Sol-(3)C.P of the mixture =
Let the C.P of second type sugar = x
Ques-9
Sol-(3)We know that in a mixed double match there are two males and two females.
Two male members can be selected in 5C2=10 ways.
Having selected two male members, 2 female members can be selected in 3C2 = 3ways.
Two male and two female members can arranged in a particular game in 2 ways.
Total number of arrangements = 10×3×2 = 60 ways
Ques-10
Sol-(3)
Ratio of efficiencies of Manish, Puneet and Ajay are 42 : 30 : 25.
Hence, the ratio of time taken by Manish and Puneet = 5 : 7
2 ratio = 10 days
1 ratio = 5 days
1050
Manish = 25 --------- 42
Puneet = 35 ---------- 30
Ajay = 42 ------------ 25
Consider, Ajay will take x days to complete the remaining work
Sol-(3)
Ratio of efficiencies of Manish, Puneet and Ajay are 42 : 30 : 25.
Hence, the ratio of time taken by Manish and Puneet = 5 : 7
2 ratio = 10 days
1 ratio = 5 days
1050
Manish = 25 --------- 42
Puneet = 35 ---------- 30
Ajay = 42 ------------ 25
Consider, Ajay will take x days to complete the remaining work
