1. A certain sum of money amounted to Rs. 584 at 6% in a certain time in which Rs. 720 amounted to Rs. 850 at 5%. If the rate of interest is simple, find the sum.
1) Rs. 440
2) Rs. 360
3) Rs. 480
4) Rs. 460
5) Rs. 420
2. Three pipes P1, P2 and P3 can fill a cistern in 12 hours. After working together for 4 hours, P3 is closed and P1 and P2 fill the cistern in 16 hours. They find the time in which the cistern can be filled by pipe P3.
1) 24 hours
2) 16 hours
3) 14 hours
4) 36 hours
5) 32 hours
3. A room is 10.5 m long and 5 m broad. The cost of papering the wall with paper 1.5 m wide at Rs. 24 per square metre is Rs. 3968. Find the height of the room.
4. Find the volume of cube whose diagonal is 12 3 metre.
1) 1782 cm^2
2) 1748 cm^2
3) 1444 cm^3
4) 1728 cm^2
5) 1278 cm^3
5. A card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a spade or a king?
Directions (Q. 6-10): Study the following graph carefully and answer the questions given below:
Value of import and exports by a company X over the years (in Rs. crore)
6. What was the approximate percentage increase in the value of exports in 2013 as compared to 2009?
7. The value of exports in 2013 was approximately what percent of the average value of imports in the years 2010, 2012 and 2014?
8. During which of the following year, the percentage increase in the exports as compared to the imports of a company is minimum?
9. The value of exports in 2011 was approximately what percent the value of imports in the same years?
10. What was the approximate difference between the value of average exports and the value of average imports of all the given years (in Rs. crore)?
Answers:
1. 3
Required sum = 584/(1 - 6/5) + (850 * 6)/(720 * 5)
= 584/(-1/5 + 17/12)
= 584 × 12 × 5/(-12 + 85)
= 584×12×5/73
= Rs. 480
2. 1;
Required time = 12 * 16/(16 - 12 + 4)
= 24 hours
3. 1
Let the height be h m
2 × h (10.5 + 5) = 3968/24 × 15/10
h = 3968/24 × 3/2 × 10/155 × 1/2
= 8 m
4. 4
Volume = [(12√ 3)/√ 3]^3
= 1728 m^3
5. 2
P (E1) = P (getting a spade) =
13/52 = 1/4
P (E2) = P (getting a king) =
4/52 = 1/13
P (E1 Union E2) = 1/52
P (a spade or a king) = P(E1 Union E2)
= P(E1) + P(E2) – P(E1 Intersection E2)
= 1/4 + 1/13 - 1/52
= (13 + 4 - 1)/52
= 4/13
6.4
Required percentage increase
= (550 – 225)/225 * 100
= 144%
7. 5
Average value of imports in 2010, 2012 and 2014
= (225 + 300 + 375)/3 = 300
Required percentage = 550/330 * 100 = 183%
8. 1
Percentage rise in the exports as compared to imports of a company in different years are :
2009 = (225 –175)/175 * 100 = 28.57%
2010 = (325 – 225)/225 * 100 = 44.44%
2011 = (475 – 350)/350 * 100 = 35.71%
2012 = (400 – 300)/300 * 100 = 33.33%
2013 = (550 – 450)/450 * 100 = 22.22%
2014 = (450 – 375)/375 * 100 = 20%
Hence, minimum is in the year 2014.
9. 3
Required percentage = 475/350 * 100 = 136%
10. 4;
Average exports
= (225 + 325 + 475 + 400 + 550 450)/6 = 404
Average imports = (175 + 225 + 350 + 300 + 450 + 375)/6 = 312.5
Required difference = 404 – 312.5 = 91.5
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