Aptitude model placement papers with solution - set 1

ANSWER: D. 60

Solution: According to the question Dhruv's current age is 5 years. So Ramesh's age will be 3 years.

Let Arjun's age be x.

From the given data we can implicate that:

(x-6)/18 = Ramesh's age = 3 years

=> x-6 = 54

=> x = 60 years.

ANSWER: B. 3 meters
Solution: Area of the rectangular playground = Length x Breadth = 40 meter * 60 meters

Park area= 40X60= 2400 metres. This implies that area of crossroads = Lawn area - Park area

Area of cross roads= 2400 metres -2109 metres ( Given )

Now let width of cross roads be x

Therefore, Total area of cross road= (x * 40) + (x * 60) – x^²

{ Area of horizontal crossroad + Area of vertical crossroad - Area of middle added twice }

=>291 = 100x - x^²
=>Solving for x, x = 3m

ANSWER: B. 4991

Solution: Let the sale in 6th month be x.

=> Average is to be made Rs 6500 at the end of 6th month:

Therefore, (6435 + 6927 + 6855 + 7230 + 6562 + x)/6 = 6500

=> Hence, 34009 + x = 39000

x = 4991

ANSWER: D. Friday

Solution: It is given that it is not a leap year.

A normal year contains 365 days which can be divided into 52 weeks and 1 day.

=> Total odd days = 1

=> First day of the year is Friday

First day of next year: Friday + 1 day = Saturday.

Hence, last day of the year = Friday

ANSWER: C. 6

Solution: It is given that 5/8th of the work is completed in 10 days.

=> Remaining work = 3/8th of total

Applying unitary method:

Total work will be completed in 10 * 8 / 5 days

=> It takes 16 days to complete total work

=> Hence, remaining work days = 16 - 10 = 6 days

ANSWER: D. 1290

Solution: In a problem related to banker's discount:

Total Discount (TD) = Bankers Gain (BG) X 100 / (Rate x Time)

Here Total discount = 540

Rate = 12%

Time = 6 years

Therefore, Applying the formula: TD = 540 X 100/(72)

=> TD = 54000/172 = 750

=> Bankers Discount = 750 + 540 = 1290 Rs


Using the formula: total discount= bankers discountX100/ present worth

Substituting and solving, 540=BD-750

BD= 1290 Rs

ANSWER: A. 155 Degrees

Solution: According to the question the clock is started at 12.

Angle covered by the hour hand in 12 hours = 360 degrees

Angle covered by hour hand in 5 hours = 360 x 5 / 12 = 150 degrees.

=> Now, in one hour the hour hand turns 30 degrees.

In 10 minutes the hour hand will turn 30/6 degrees = 5 degrees

=> Angle traced by hour hand in 5 hour 10 minutes = 150 + 5 degrees = 155 degrees

ANSWER: B. 169

Solution: In this question the pattern * represents a code.

=> 3^² + 4^² = 25

=> 6^² + 8^² = 100

=> 12^² + 5^² = 169

ANSWER: D. 2 × 2 × 2 × 3 × 3 × 7

Solution: Simple HCF techniques need to be applied in the question:

504 can be represented as 2 x 2 x 2 x 3 x 3 x 7

ANSWER: D. Data inadequate

Solution: This is a simple problem involving heights and distances.

Initially the man sees top of a building at the angle of elevation of 30 degrees.

=> Tan 30 = Height of the building (Y)/Distance from the building (X)

After walking an unknown distance the angle now subtended is 45 degrees.

=> Tan 45 = Height of the building (Y)/ New distance from the building (Z)

These are 2 equations and 3 unknown variables.

Therefore, Data Inadequate.