Test-7 Average(7-10) min

Ans. key to test7 on Averages by 6pm
1. 61   2.22    3.166    4. 9     5. 98     6.72     7. 1537 approx.      8. 48      9. 20      10. 54
Solution Hindi English

1.Average weight of 10 people is 50kg. One person is added to the group, the average increases by 1 kg. Weight of new person is……

2.The average weight of A,B,C is 40 kg. If average weight of A and B is 35kg and that of B and C is 36kg. Find the weight of B……

3.Average ht. of 5 person is 162cm. If a person is removed , then the average ht. of the remaining people becomes 161 cm. Find the ht. of person removed.

4.The average of n no’s is x. When 36 is subtracted from two of the no’s ,the new average becomes ‘x-8’. Value of n is…

5.The average of 15 no’s is 31. Every no. is multiplied by 3 and then increased by 5. The new average of no’s will be….

6.In a class of 70 students. Ratio of boys and girls are 4:3. If average marks of whole class are 80% and average marks of boys is 86%. Find the average marks of girls……

7.19 persons went to hotel for the Dinner. 13 of them spent Rs 79 /- each and the rest spent Rs4/- more than the average expenditure of all the 19.what was total money spent by them.

8.Out of the three no’s, first is twice the second and thrice the third.  The average of three no’s is 88. The smallest of three no’s is….

9.The average of 5 consecutive no’s is 18. The highest of these no. is ….

10.Average marks obtained by the student in 3 papers is 52 and in fourth he obtained 60 marks . Find his new average…

Test6(2) Time,speed and Distance(Trains n Boat Qs)

Sol(1-3)   Sol(4-10)  

Q1. A man rows 6km/hr in still water. If river is running at 3km/hr, it takes him 45 min to  row to a place and back. How far is the place.

a. 1.12km  b.1.25km  c.1.6875km  d.2.5km

Q2. A horse is passed by a train in 8 sec. Find length of train, if its speed is 36km/hr.

a.70km/hr  b.80km/hr  c.85km/hr  d.90km/hr

Q3. A train traveling at 48km/hr  completely crosses a train half its length in opposite direction at 42km/hr in 12sec. It also passes a platform in 45 sec. The length of platform is 

a.560m  b.400m  c.600m  d.450m

Q4. A man sees a train passing a bridge 1km in length. Length of train is half that of bridge. Train clears bridge in 2min. Speed of train is   

a.30km/hr  b.45km/hr  c.50km/hr  d.60km/hr.  E.NOT

Q5.The speed of train is 72km/hr. It takes 18sec to completely pass a man standing near the tracks . If train maintains same speed, it takes 30sec to cross a platform. Find length of platform.  

a.235m  b.240m  c.245m  d.250m

Q6. A train has 24 carriages each of 60m length . Length of engine also is 60m. Train is traveling at 60km/hr. Find the time it will take to cross a bridge 1.5km long. 

a.2min  b.3min  c.6min  d.NOT

Q7. A train running  at 48km/hr take 1min to pass a telegraph pole. Find train length.   

a.0.1km  b.0,2km  c.0.8km  d.0.9km 

Q8. The difference between time taken by 2 buses to travel a distance of 350 km is 2hr20min. If difference between there speed is 5km/hr. Find speed of slower train.  

a.35km/hr  b.25km/hr  c.20km/hr  d.15km/hr

Q9. An ant  climbing a pole ascends 12m and slip down 5m every alternate hr. If pole is 63 m high . If pole is 63 m long high , how long will it take to reach the top.    

a.18hr  b.17hr  c.16hr35min  d.16hr40min

Q10. Two persons walking   Left Dehradun to Doiwala simultaneously. The first stopped 42 min later when he was 1km short of Doiwala, and another  stopped 52 min later when he was 2km short of Doiwala. If first walks as many km as second and second as many km as first,first one would need 17min less than 2^nd one. Find distance between Dehradun and Doiwala.  

a. 5km  b.15km  c.25km  d.35km

Test-6 Time,Speed&Distance

Solutions All

Q1. Ravi walking 3/4^th of usual speed reaches office 16 min late. Find usual time taken by him to cover the distance. 

a. 48 min  b. 60min  c.42min  d.62 min

Q2. Joy goes to office at 6km/h and return home at 4km/hr. He takes 10hr in all. What is the distance between his office and home.  

a. 24km  b.10km  c.12km  d.30km

Q3. A train moves at 120km/hr for 1 km and at 40km/hr for next one km. What is the average speed. a.48km/hr  b.50km/hr  c.80km/hr  d.60km/hr

Q4. A train travelling at 25 km/hr  leave Delhi at 9a.m., and another at 35km/hr start at 2:00pm in the same direction . How many km from Delhi will they be together. 

a.400km  b.425km  c.375.5km  d. 437.5 km

Q5. A train leave Patna at 5am and reaches Delhi at 9am. Another train leave Delhi at 6:30am and reach Patna at 10am. At what time do they meet. 

a.7:30  b.7:40  c.7:45  d.7:50pm

Q6. Two trains for Agra leave Delhi at 8:30 and 9am and travel at 60km/hr and 70km/hr. How many km from Delhi will they meet.   

a. 210km   b.180km  c.150km  d.120km

Q7. Without stoppage , a train travels at average speed of 75km/hr and with stoppage at average speed of 60km/hr. How many min/hr does train stop.   

a.10min  b.12min  c.14min  d. 18min

Q8. A car driver in fog passes a person who was walking at 2km/hr in same direction. The person could see car for 6 min  and it was visible to him upto a distance of 0.6 km. Find speed of Car.  

a. 30km/hr  b. 15km/hr  c.20 km/hr  d.8km/hr

Q9. Two trains A and B start simultaneously in opposite direction from two points X and Y and arrive at their destination 9 and 4 hrs respectively after their meeting each other. At what rate does the second train B travel, If First train travel at 80km/hr.   

a. 60km/hr  b.100km/hr  c.120km/hr d. 80km/hr

Q10. Rajdhani Express travels 650km in 5hrs and another 940 km in 10hrs. Find its average speed.  

a. 159km/hr  b.168km/hr  c.106km/hr  d.126km/hr  e. NOT     

Test-5(Alligation&Mixture) Q7,8,9 ,10

Test-5 Alligation&Mixture

Concepts Alligation N Mixture

Q1. The price of cup and plate is Rs 35/-.The cup was sold at 20% gain and plate at 10% loss. If person gains Rs 4/-,find CP of cup.  

a.10/-  b. 25/-  c.20/-   d.NOT  

Q2. A tank contain 50 Litre water. 5 litre water is taken out and replaced by milk. The process is repeated again. Find proportion of milk and water in remaining mixture. 

a.1:4  b.41:50  c.19:81  d.81:19

Q3. Average salary per head of all employees in Organization is Rs600/-. Average salary of 120 officers is Rs 4000/-. If average salary of rest employees is 560/-,Find total employees in company.

a.10200  b.10320  c.10500  d.10680        Ans 1,2,3

Q4. There are two mixture of honey and water,honey being 25% and 75% respectively . If 2 litres of first mixture are are mixed with 3 litres of second mixture,Find ratio of honey and water in new mixture.

a.11:2  b.11:9  c.9:11  d.2:19

Q5. In what proportion must water be mixed with milk so as to gain 20% by selling milk at CP of milk. a.1:4  b.1:5  c.1:6  d.1:12

Q6. In a zoo, there are deers and ducks. If legs are counted they are 448, whereas heads count is 180. Find number of Deers.   

a. 136  b. 68  c.44  d.22  e.NOT     Ans 4,5,6

Q7. A man decided to travel 80km in 8 hrs partly by foot and partly by Bicycle. On foot and Bicycle his speed is 8km/h and 16km/h respectively. What is the distance travelled on foot.

a.20 km  b.30  c.48  d.60

Q8. A sum of Rs36.90/- is made of 90 coins of either 20p or 50p . How many 20p coins are there. 

a.47  b.43  c.27  d.63

Q9.A man buy milk at Rs8.5/- per litre and dilute it with water and sell mixture at same rate and thus gains 11.11%. Find quantity of water mixed by him in every litre of milk. 

a.0.111 b.0.909  c.0.1  d.0.125  e.NOT

Q10. A tank has 20 litre spirit. 4 litre is drawn out and tank is again filled with water. This process is repeated 5 times How much spirit is left in mixture finally. 

a.6(257/527)     b.6(346/625)    c.6.5    d.6.25   Ans 7,8,9,10

Best Of Luck! 

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