1. The price of 8 chairs is equal to 3 tables. The price of 12 chairs and 5 tables together is Rs.1,520. What is the total price of 10 chairs and 5 tables?
a) Rs.1500
b) Rs.1480
c) Rs.1400
d) Rs.1360
e) None of these
2. Rohit starts a business with Rs.6,500 and after 8 months Shyam joins Rohit as his partner. After 4 years the profit is divided in the ratio of 13 : 12. What is Shyam's contribution in the capital?
a) Rs.7400
b) Rs.7200
c) Rs.7250
d) Rs.7630
e) Rs.7480
3. The speed of a boat in still water is 20 kmph and the rate of current is 4 kmph. The distance travelled by the boat downstream in 30 minutes is:
a) 8 km
b) 10 km
c) 12 km
d) 14 km
e) 16 km
4. Rs.2,000 is invested at 10% p.a. on simple interest. If that interest is added to the principal after every 20 years, the amount will become Rs.14,000 after:
a) 15 years
b) 100/3 years
c) 50/3 years
d) 40 years
e) None of these
5. Two trains 128 meters and 122 meters long are running towards each other on parallel lines at 48 kmph and 42 kmph respectively. In what time will they clear off each other from the moment they meet?
a) 10 sec
b) 12 sec
c) 18 sec
d) 14 sec
e) 9 sec
Directions (Q.6 - 10): Following line graph shows sugar produced by India and Cuba during the period of 2001 - 2006.
6. What is the percentage decrease in production from 2001 - 2002 for India?
a) 6%
b) 60/7%
c) 11/7%
d) 9%
e) None of these
7. What is the average production of Cuba from 2001 to 2004?
a) 67
b) 64
c) 63
d) 59
e) 57
8. What is the ratio of maximum production to average production for India?
a) 73 : 57
b) 73 : 59
c) 73 : 62
d) 73 : 64
e) None of these
9. What is the difference of total production of these two countries during 2001 - 2006?
a) 18
b) 20
c) 22
d) 24
e) 26
10. For Cuba during which period its production increases maximum from the previous year?
a) 2001 - 2002
b) 2002 - 2003
c) 2003 - 2004
d) 2004 - 2005
e) 2005 - 2006
Answers:
1. (c): Let the cost of chairs be X and table is Y.
Given, 8X = 5Y => Y = 8/3 X
According to the equation,
12X + 5Y = 1520 => 12X + 8/3 * 5X = 1520
By solving, X = 60, Y = 160
Then, 10X + 15Y = 1400.
2. (b): Let shyam' capital be X.
Then, (6500*48)/40X = 13/12
=> X = (6500*48*12) / (40*13) = Rs.7200
3. (c): Speed of downstream = 20+4 = 24 kmph
Distance travelled = 24 * 30/60 = 12 km
4. (b): SI of 20 years = (2000*10*20)/100 = 4000
Principal after 20 years becomes 2000+4000 = 6000
SI on it = 14000 - 6000 = 8000
Then, Time = 100/10 * 8000/6000 = 40/3 years.
5. (a): Relative Speed = 48+42 = 90 kmph = 90* 5/18 = 25 m/sec
Distance travelled = 128 + 122 = 250 m
Time = 250/25 = 10 seconds.
6. (b): % = (70 - 64)/70 * 100 = 60/7
7. (e): Average = (55+48+75+50)/4 = 228/4 = 57.
8. (c): Average = (70+64+45+60+60+73)/6 = 372/6 = 62.
Maximum = 73, Ratio = 73:62.
9. (c): Production of India = 372
Production of Cuba = 350
Difference = 372 - 350 = 22.
10. (b)
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