Quant Quiz

1.) 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 अपने चीनी पर होने वाले व्यय को 25% से कम करदें 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 

Sol 

Decrease by 6.25%

2.) 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 वास्तु 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%

Sol

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:

3.) A bus overtakes two boys who are walking in the direction of the bus at 2 km/hr and 4 km/hr in 9 sec and 10 sec respectively. Speed of the bus is- 

एक बस दो लड़के जो उसकी दिशा में 2 किमी/घं और 4किमी/घं की चाल से चाल रहे है के आगे क्रमश: 9 सेकंड और 10 सेकंड में निकलती हैं | बस की चाल है -

1.) 5.55 km/hr 2.) 10 km/hr 3.) 12.66 km/hr 4.) 16.66 km/hr 5.) 20 km/hr 

Sol

a = length of the bus, 

b = speed of the bus in m/s

Relative speed with respect to first one:

(As, 2 km/h =5/9 m/s)

a = 9b – 5 ----- (i) 

Similarly for second one:

90b − 9a = 100---- (ii)

From Eq (i) and (ii):

a = 50 m and b = 50/9 m/s = 20km/hr 

4.) 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 मात्र एक निचित 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 किग्र 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 

Sol

C.P of the mixture = 

Let the C.P of second type sugar = x

5.) 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 व्यवस्थित किये जा सकते हैं 5 विवाहित जोड़ो में से ताकि 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 

Sol

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.

6.) 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?

1.) 8 2.) 7.6 3.) 7.2 4.) 6.5 5.) None of these

Sol

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

7.) The average wages of a worker during 15 consecutive working days was Rs.90 per day. During the first 7 days, his average wages was Rs.87/day and the average wages during the last 7 days was Rs.92 /day. What was his wage on the 8th day?

एक मजदूर के 15 क्रमंगत दिनों की औसत मजदूरी 90 रू. प्रति दिन है| पहले 7 दिन में औसत मजदूरी रू 87/दिन और आखिरी 7 दिन औसत मजदूरी रू 92/दिन है | उसकी 8 वे दिन की मजदूरी क्या हैं ? 

1.) 96 2.) 97 3.) 95 4.) 98 5.) 93 

Sol

The total wages earned during the 15 days that the worker worked = 15×90 = Rs.1350.

The total wages earned during the first 7 days = 7×87 = Rs. 609.

The total wages earned during the last 7 days = 7×92 = Rs. 644.

Total wages earned during the 15 days = wages during first 7 days + wage on 8th day + wages during the last 7 days.

1350 = 609 + wage on 8th day + 644. 

Wage on 8th day = 1350−609−644 = Rs. 97

8.) An experiment succeeds twice as often as it fails. What is the probability that in the next 4 trials there will be three successes?

एक परीक्षण जितना फ़ैल होता है उसके दुगना सफल होता है | अगले 4 प्रयास में 3 में सफल होने की प्रायिकता क्या हैं? 

1.)  2.)  3.)  4.)  5.) None of these

Sol

9.) Two men, sitting on the table. One man has 7 eggs and other had 5 eggs. A third man passing by requested them to share their food in return for money. The three of them shared the eggs equally and the third traveller paid the other two a total of Rs 24.Find the difference between the amounts received by first two men?

दो पुरुष एक टेबल पर बैठें हुए है | एक पुरुष के पास 7 अंडे और दूसरे के पास 5 अंडे हैं | एक तीसरा पुरुष इनसे धन के बदले अपने भोजन को बटने की प्रथना करता है | वह तीनो बराबर अंडे बाट लेते है और तीसरा पुरुष इन्हें कुल 24 रू देता हैं | पहले दो पुरुष को मिली धनराशि का अंतर ज्ञात कीजिये? 

1.) 12 2.) 18 3.) 8 4.) 9 5.) None of these 

Sol

Total = 7 + 5 = 12 

Each man will get = 

Third man pay 24 Rs for 4 eggs

1 egg price = 6

Difference = 

10.) Three pipes P, Q and R can fill a tank in 6 hours, after working it at together for 2 hours, R is closed and P and Q can fill the remaining part in 7 hours. How much time will R take alone to fill the tank?

तीन नल P,Q और R किसी टंकी को 6 घंटे में भर सकते हैं, इन्हें एक साथ खोलने के 2 घंटे बाद नल R को बंद कर दिया जात है तथा P और Q शेष भाग 7 घंटे में भर देते है | R अकेले इस टंकी को कितनी देर में भरेगा? 

(1) 16 hours (2) 14 hours (3) 12 hours (4) 10 hours (5) None of these

Sol

In 2 hour the part filled by all the three pipes = 

Remaining part =, which is filled by (P + Q) in 7 hours.

Hence, in 1 hour the part filled by (P + Q) = 

since, in 1 hour the part filled by R alone = 

Therefore, R alone will fill the bank in 14 hours.