Trilogy Previous Years Solved Sample Placement Papers
- A boat going upstream takes 8 hours 24 minutes to cover a certain distance, while it takes 5 hours to cover 5/7 of the same distance running downstream. Then what is the ratio of the speed of the boat to the speed of the water current?
a) 11:5
b) 11:6
c) 11:1
d) 6:5
Ans: c) 11:1 - A boat takes 128 minutes less to travel 48 km downstream than to travel the same distance upstream. If the speed of the stream is 3 km/hr, what is the speed of the boat in still water?
a) 12 km/hr
b) 15 km/hr
c) 6 km/hr
d) 9 km/hr
Ans: a) 12 km/hr - An alloy contains brass, iron, and zinc in the ratio 2:3:1, and another contains iron, zinc, and lead in the ratio 5:4:3. If equal weights of both alloys are melted together to form a third alloy, then what will be the weight of lead per kg in the new alloy?
a) 1/4
b) 41/7
c) 1/8
d) 51/9
Ans: c) 1/8 - A milkman mixes 6 liters of free tap water with 20 liters of pure milk. If the cost of pure milk is Rs. 28 per liter, what is the percentage profit of the milkman when he sells all the mixture at the cost price?
a) 30%
b) 16(1/3)%
c) 25%
d) 16.5%
Ans: a) 30% - 144 liters of the mixture contain milk and water in the ratio 5:7. How much milk needs to be added to this mixture so that the new ratio is 23:21?
a) 40 liters
b) 28 liters
c) 32 liters
d) 36 liters
Ans: c) 32 liters - A shopkeeper bought 30 kg of rice at Rs. 75 per kg and 20 kg of rice at Rs. 70 per kg. If he mixed the two brands of rice and sold the mixture at Rs. 80 per kg, find his gain.
a) Rs. 350
b) Rs. 550
c) Rs. 420
d) Rs. 210
Ans: a) Rs. 350 - The cost price of 80 notebooks is equal to the selling price of 65 notebooks. What is the gain or loss percentage?
a) 32%
b) 42%
c) 27%
d) 23%
Ans: d) 23% -
Shas married 8 years ago. Today her age is 9/7 times to that time of marriage. At present his son’s age is 1/6th of her age. What was her son’s age 3 years ago?
A. 4 yr
B. 2 yr
C. 3 yr
D. 5 yr
Ans: B. 2 yr
Explanation:
Let us assume that Shas’s age 8 years ago = x
Present age = x + 8
x + 8 = 9/7 x
7(x + 8)= 9x
x = 28; 28 + 8 = 36
Son’s age = 1/6 * 36 = 6
Son’s age 4 years ago = 6-4 =2 -
The respective ratio between the present age of Mani and Dheeraj is x : 42. Mani is 8 years younger than Murali. Murali’s age after 8 years will be 33 years. The difference between Dheeraj’s and Mani’s age is same as the present age of Murali. What is the value of x?
A. 18
B. 10
C. 16
D. 17
Ans: D. 17
Explanation:
Murali’s age after 8 years = 33 years
Murali’s present age = 33 – 8= 25 years
Mani’s present age = 25 – 8 = 17 years
Dheeraj’s present age = 17 + 25 = 42 years
Ratio between Mani and Dheeraj = 17: 42
X = 17 -
Revanth’s present age is three times his son’s present age and 4/5th of his father’s present age. The average of the present ages of all of them is 62 years. What is the difference between Revanth’s son’s present age and Revanth’s father’s present age?
A. 64 years
B. 69 years
C. 66 years
D. 62 years
Ans: C. 66 years
Explanation:
Present age of Revanth is = 4/5x
Present age of Revanth’s father is = 4/15x
Ratio = 15: 12 : 4
Difference between the Revanth’s son’s present age and Revanth’s father’s present age = 62/31 * 3(15 – 4).
= 2*3*11 = 66 years. -
36% of 945 – 26% of 765 + 17.7 =?
A. 167
B. 187
C. 159
D. 143
Ans: C. 159
Explanation:
340.2 – 198.9 =141.3+17.7 = 159 -
√(456÷12+142-11) =?
A. 11
B. 169
C. 23
D. 13
Ans: D. 13
Explanation:
38+142-11 = 169 = 13*13 -
1(1/5) of 1(1/2) of ? = 216
A. 100
B. 125
C. 140
D. 120
Ans: D. 120
Explanation:
6/5*3/2 *x = 216
X = 216*2*5/6*3 = 2160/18 = 120