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PGPFA Assessment Aptitude
https://blog.imarticus.org/pgpfa-finance-domain/
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Section 3 - Aptitude - 20 Questions - 10 Min
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1)A boat travels 24 km upstream in 6 hours and the same distance downstream in 4 hours. What is the speed of the boat in still water?
a) 4 km/hr
b) 6 km/hr
c) 8 km/hr
d) 12 km/hr
2) If the ratio of the area of two similar triangles is 4:9, and the length of a side of the smaller triangle is 6 cm, what is the length of the corresponding side of the larger triangle?
a) 8 cm
b) 9 cm
c) 12 cm
d) 18 cm
3) A shopkeeper marks up the price of an item by 25% and then gives a discount of 20%. What is the net percentage change in the price?
a) 5% increase
b) 2.5% increase
c) 2.5% decrease
d) 5% decrease
4) In a group of 50 students, 35 play cricket and 20 play football. How many students play both cricket and football?
a) 5
b) 10
c) 15
d) 25
5)A bag contains 5 red balls and 7 blue balls. If two balls are drawn at random, what is the probability that both balls are red?
a) 1/12
b) 5/12
c) 7/12
d) 25/144
6) If A can do a piece of work in 10 days and B can do the same work in 15 days, how long will it take both of them working together to complete the work?
a) 4 days
b) 5 days
c) 6 days
d) 8 days
7) What is the next number in the sequence: 1, 3, 7, 15, 31, 63, ...?
a) 127
b) 121
c) 129
d) 135
8) If x + y = 9 and x - y = 3, what is the value of x?
a) 3
b) 4.5
c) 6
d) 7.5
9) What is the value of 0.15 ÷ 0.05 + 0.2 x 0.1?
a) 6
b) 7
c) 8
d) 9
10)If a cube of side 6 cm is painted on all its faces and then cut into smaller cubes of side 2 cm, how many cubes will have no face painted?
a) 8
b) 16
c) 24
d) 27
11)If the ratio of the length to the breadth of a rectangle is 5:3, and its perimeter is 32 cm, what is the area of the rectangle?
a) 48 cm²
b) 60 cm²
c) 72 cm²
d) 90 cm²
12)In a certain code, "KETTLE" is written as "LEKTE" and "LAPTOP" is written as "TOPALP". How is "HAMMER" written in that code?
a) ERMMAH
b) AMREMH
c) REMMAH
d) HAMREM
13)A car covers a certain distance at a speed of 60 km/h and returns to the starting point at a speed of 40 km/h. What is the average speed of the car for the entire journey?
a) 40 km/h
b) 45 km/h
c) 48 km/h
d) 50 km/h
14)If a man walks at a speed of 5 km/h, he reaches his office 8 minutes early. If he walks at a speed of 4 km/h, he reaches the office 10 minutes late. What is the distance between his home and office?
a) 2.5 km
b) 3 km
c) 3.5 km
d) 4 km
15)The price of sugar increases by 20%. By what percentage must a housewife reduce her consumption of sugar so as not to increase her expenditure on sugar?
a) 16.67%
b) 17.65%
c) 18.18%
d) 20%
16)If the radius of a circle is increased by 50%, what is the percentage increase in its area?
a) 50%
b) 75%
c) 100%
d) 125%
17)What is the sum of the first 10 terms of the arithmetic sequence: 3, 6, 9, 12, ...?
a) 450
b) 490
c) 500
d) 550
18)The sum of three numbers is 98. If the first number is twice the second number and the second number is twice the third number, what is the third number?
a) 14
b) 16
c) 18
d) 20
19)A bag contains 4 red balls and 3 black balls. If two balls are drawn at random, what is the probability that at least one ball is black?
a) 1/6
b) 2/7
c) 3/7
d) 3/8
20)If a rectangle has a length of 15 cm and a diagonal of length 17 cm, what is the area of the rectangle?
a) 120 cm²
b) 144 cm²
c) 168 cm²
d) 196 cm²