# Aptitude Placement Test for Engineering Students - Set 4

1)   What is probability of drawing two clubs from a well shuffled pack of 52 cards?

a. 13/51
b. 1/17
c. 1/26
d. 13/17
 Answer  Explanation ANSWER: 1/17 Explanation: 2)   What are the chances that no two boys are sitting together for a photograph if there are 5 girls and 2 boys?

a. 1/21
b. 4/7
c. 2/7
d. 5/7
 Answer  Explanation ANSWER: 5/7 Explanation: 3)   There is a tree between houses of A and B. If the tree leans on A’s House, the tree top rests on his window which is 12 m from ground. If the tree leans on B’s House, the tree top rests on his window which is 9 m from ground. If the height of the tree is 15 m, what is distance between A’s and B’s house?

a. 21 m
b. 25 m
c. 16 m
d. 12 m
 Answer  Explanation ANSWER: 21 m Explanation: 4)   Which of the following is in descending order?

a. 5/8; 9/13; 11/17
b. 5/8; 11/17; 9/13
c. 9/13; 11/17; 5/8
d. 11/17; 9/13; 5/8
 Answer  Explanation ANSWER: 9/13; 11/17; 5/8 Explanation: 5)   In a class 3/4th of the students do not know either English or Hindi. But 1/6th of the students know English. How much students know both English and Hindi if students who know Hindi are 1/8th of total students in the class?

a. 1/24
b. 100/24
c. 10/12
d. 1/4
 Answer  Explanation ANSWER: 1/24 Explanation: 6)   In 10 hours Mayur rows 30 kms upstream and 44 kms downstream. Also he travels 40 kms upstream and 55 kms downstream in 13 hours. What is speed of the boat in still water?

a. 3 km/hr
b. 8 km/hr
c. 11 km/hr
d. 16 km/hr
 Answer  Explanation ANSWER: 8 km/hr Explanation: 7)   A rhombus has one of its diagonal 60% of the other. A square is drawn using the longer diagonal as side. What will be ratio of area of square to that of the rhombus?

a. 3:10
b. 2:3
c. 10:3
d. 3:2
 Answer  Explanation ANSWER: 10:3 Explanation: 8)   P and Q start a hotel. P left after 6 months. After the year ends, P gets Rs. 6000 as profit out of total profit of Rs. 9000. What will be amount invested by Q if P had invested Rs. 20000?

a. Rs. 6000
b. Rs. 7500
c. Rs. 10000
d. Rs. 5000
 Answer  Explanation ANSWER: Rs. 5000 Explanation: 9)   Ram gets Rs. 2600 for Rs. 2000 in 5 years at some rate of simple interest. Had he invested in other places where rate of simple interest is 3% more than current rate, how much would have Ram got in same time?

a. Rs. 2900
b. Rs. 3000
c. Rs. 3100
d. Rs. 2800
 Answer  Explanation ANSWER: Rs. 2900 Explanation: 10)   Shyam’s room has dimensions 6m x 5m x 4m. The room also has a door of dimension 2.5m x 1.2m and a window of dimensions 1m x 1m. What will be cost of painting the four walls of his room if rate of painting is Rs. 2 per sq.m.?

a. Rs. 410
b. Rs. 84
c. Rs. 840
d. Rs. 168
 Answer  Explanation ANSWER: Rs. 168 Explanation: 11)   The amount of money with which A’s wage can be paid for 18 days, when A is working alone, is enough for paying B’s wage for 12 days, when B is working alone. If A and B start working together, then the same amount would be enough for wages of both of them for how many days?

a. 36/5 days
b. 5/36 days
c. 15 days
d. 6 days
 Answer  Explanation ANSWER: 36/5 days Explanation: 12)   A cistern is filled by Pipe A and Pipe B together in 2.4 hours. Pipe A alone can fill the cistern at the rate of 100 litres per hour. Pipe B alone can fill the cistern in 4 hours. What is the capacity of the cistern?

a. 1200 litres
b. 600 litres
c. 1000 litres
d. 500 litres
 Answer  Explanation ANSWER: 600 litres Explanation: 13)   Raman paid Rs. 11400 as interest after 9 years. He had borrowed some money at rate of 6% for first two years, 9% for next three years and 14% for rest of the period. How much money did he borrow?

a. Rs. 10000
b. Rs. 15000
c. Rs. 12000
d. Rs. 12500
 Answer  Explanation ANSWER: Rs. 12000 Explanation: 14)   A tree is cut partially and made to fall on ground. The tree however does not fall completely and is still attached to its cut part. The tree top touches the ground at a point 10m from foot of the tree making an angle of 30°. What is the length of the tree?

a. 103 m
b. 10/3 m
c. (2 - 1)/10 m
d. 10/2 m
 Answer  Explanation ANSWER: 103 m Explanation: 15)   Ramesh gets double the amount in 9 years when invested at compound interest. In how many years will the amount become four times itself?

a. 13.5 years
b. 27 years
c. 9 years
d. 18 years
 Answer  Explanation ANSWER: 18 years Explanation: 16)   In how many ways can we arrange the word ‘FUZZTONE’ so that all the vowels come together?

a. 1440
b. 6
c. 2160
d. 4320
 Answer  Explanation ANSWER: 2160 Explanation: 17)   Chandan buys some sugar at Rs. 15 per kg. He mixes it with sugar having price Rs. 18 per kg. The final mixture becomes worth Rs. 16 per kg. What is the ratio of quantities of type 1 sugar to type 2 sugar?

a. 2:1
b. 1:2
c. 5:6
d. 6:5
 Answer  Explanation ANSWER: 2:1 Explanation: 18)   Jay’s room has a floor of 8m by 4m. He decides to tile the floor with tiles of 25cm x 20 cm. How many tiles will he need?

a. 320 tiles
b. 640 tiles
c. 160 tiles
d. 6.4 tiles
 Answer  Explanation ANSWER: 640 tiles Explanation: 19)   There are 30 people in a group. If all shake hands with one another , how many handshakes are possible?

a. 870
b. 435
c. 30!
d. 29! + 1
 Answer  Explanation ANSWER: 435 Explanation: 20)   What is value of M in (p/q)2M+2 = (q/p)9-M

a. 6
b. 5
c. -7/2
d. -11
 Answer  Explanation ANSWER: -11 Explanation: 