1. A person lent a certain sum of money at 5% simple interest and in 4 years the interest amounted to Rs.400 less than the sum lent. What is the sum lent?
b) 500
c) 600
d) 800
e) 1200
2. Some amount of money grows upto Rs.8,000 in 3 years and upto Rs.10,000 in 4 years on compound interest. What is the sum?
a) 5,120
b) 4,096
c) 4,860
d) 4,650
e) None of these
3. What is the number of quadrilaterals that can be formed by joining the vertices of a polygon having 11 sides?
a) 330
b) 210
c) 495
d) 160
e) None of these
4. A bag contains 4 white, 5 black and 6 red balls. 3 balls are drawn randomly, then the probability of drawn balls be all of colors is:
a) 13/91
b) 18/91
c) 21/91
d) 24/91
e) 35/91
5. If the sum of a number and its square is 992. Then what is the number?
a) 23
b) 24
c) 29
d) 31
e) None of these
6. If the sum of three numbers is 65. If the ratio of the first to second is 5 : 3, and that of the second and third number is 7 : 3, then waht is the second number?
a) 9
b) 15
c) 21
d) 35
e) None of these
7. There are certain amount from which A takes 25% then B takes 50% of remaining amount, then C takes 75% of the remaining amount. Now if the amount left is 5,760 then what is the actual sum?
a) 58,220
b) 59,680
c) 60,600
d) 61,440
e) None of these
8. A sells an item to B at a loss of 20% and B sells it to C at a loss of 25%. If C pays Rs.3,000 then what is the original price?
a) 6,000
b) 5,000
c) 8,000
d) 4,500
e) 7,500
9. Two trains A and B are running on parallel tracks in the same direction. Train A which is coming from behind takes 50 seconds to cross B completely. One person in trin observes that he crosses train B in 30 seconds. If the speed of the train A and B is in ratio 2 : 1, what is the ratio of their lengths?
a) 1 : 2
b) 2 : 3
c) 4 : 3
d) 5 : 3
e) 5 : 4
10. A man can row a boat at a speed of 10 km/h in still water. He goes to a certain point upstream and back to starting point in a river. Speed of flowing river is 2 km/h. What is the average speed of the boat for total journey?
a) 4 km/h
b) 6 km/h
c) 8.4 km/h
d) 9.6 km/h
e) None of these
Answers
1. (b) Let sum = x, Interest = (x * 4 * 5)/100 = 20x/100
20x/100 = x - 400 => x = 500.
2. (b) here, sum = A1 {A1/A2}^n
A1 = 8000, A2 = 10000, n = 3.
Applying above formula Sum = 4096.
3. (a) Number of quadrilaterals = n(n-1)(n-2)(n-3)/24 = 11*10*9*8/24 = 330.
4. (d) 3 balls are drawn = 15C3
In order to have all balls in different colors, the ways of selection of balls is: 4C1 * 5C1 * 6C1 = 4 * 5 * 6
P(E) = 4*5*6 / 15C3 = 24/91.
5. (d) 31
6. (c) 21
7. (d) Original amount = (5760*100*100*100)/{(100-25)(100-50)(100-75)} = 61440.
8. (b) amount = (100*100*3000)/{(100-20)(100-25)} = 5000.
9. (b) Let speed of B = x, and A = 2x. Length = Lb and La
Trains are running in the same direction. So relative speed = 2x - x = x.
Now, (La + Lb)/x = 50 ---(i)
Lb/x = 30 ---(ii)
Equation (i)/(ii),
(La + Lb)/Lb = 5/3
Therefore, La : Lb = 2 : 3.
10. (d) Let the distance = x km.
Average speed = 2x / {(x/10+2) + (x/10-2)} = 9.6 km/h.
1. (b) Let sum = x, Interest = (x * 4 * 5)/100 = 20x/100
20x/100 = x - 400 => x = 500.
2. (b) here, sum = A1 {A1/A2}^n
A1 = 8000, A2 = 10000, n = 3.
Applying above formula Sum = 4096.
3. (a) Number of quadrilaterals = n(n-1)(n-2)(n-3)/24 = 11*10*9*8/24 = 330.
4. (d) 3 balls are drawn = 15C3
In order to have all balls in different colors, the ways of selection of balls is: 4C1 * 5C1 * 6C1 = 4 * 5 * 6
P(E) = 4*5*6 / 15C3 = 24/91.
5. (d) 31
6. (c) 21
7. (d) Original amount = (5760*100*100*100)/{(100-25)(100-50)(100-75)} = 61440.
8. (b) amount = (100*100*3000)/{(100-20)(100-25)} = 5000.
9. (b) Let speed of B = x, and A = 2x. Length = Lb and La
Trains are running in the same direction. So relative speed = 2x - x = x.
Now, (La + Lb)/x = 50 ---(i)
Lb/x = 30 ---(ii)
Equation (i)/(ii),
(La + Lb)/Lb = 5/3
Therefore, La : Lb = 2 : 3.
10. (d) Let the distance = x km.
Average speed = 2x / {(x/10+2) + (x/10-2)} = 9.6 km/h.
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