Q1. Directions: Based on the given passage, answer the questions that follow.

A invested Rs. 50000 in a company in the beginning of the year. After few months, B invested Rs. 40000 in the same company. At the end of the year, A received Rs. 12000 as his share of profit for the year. In the next year, A and B again invested the same amount as they did in the previous year for the whole year. After 3 months, C invested Rs. 60000 and received Rs. 4500 as his share of profit at the end of second year.

In the third year, if A, B and C invested the same amount as before in the second of the year, what is C’s share in a profit of Rs. 60,000?

     A.Rs. 12000

     B. Rs. 18000

     C. Rs. 24000

     D. Rs. 32000

EXPLANATION

Answer: C

In third year,

A’s investment = Rs. 50,000 for 12 months

B’s investment = Rs. 40,000 for 12 months

C’s investment = Rs. 60,000 for 12 months

Hence,

⇒ A’s share : B’s share : C’s share = 50,000 : 40,000 : 60,000

⇒ A’s share : B’s share : C’s share = 5 : 4 : 6

∴ C’s share = (6/15) × 60000 = Rs. 24,000

Q2. 175 m long train crosses another train of length 100 m in 15 sec, running in same direction. If the speed of the first train is 90 km/hr, then find the speed of the second train (in km/hr)?

     A. 35 km/hr

     B. 42 km/hr

     C. 24 km/hr

     D. 30 km/hr

EXPLANATION

Answer: C

T = D/S

According to the question,

15 = (175 + 100) / [(90 – x)*(5/18)]

15* [(90 – x)*(5/18)] = 275

[(90 – x)*(5/18)] = 275/15

(90 – x) = (275/15)*(18/5)

90 – x = 66

X = 24 km/hr

The speed of the second train = 24 km/hr

4. Total number of persons who visited Dhanush Kodi Beach on the Weekend is the difference between the number of persons who visited Nigiri mountain on Weekend and weekdays. The number of persons who visited Court Allam on Weekdays is the difference between the number of persons who visited Marina beach in weekdays and Weekend. The number of persons who visited Dhanush Kodi beach on weekends is what percent more or less than the number of persons who visited court Allam on weekdays?

      A. 18.75% less 

      B. 22.25% less 

      C. 16.25% less 

      D. 12.75% less

EXPLANATION

Answer: A

Number of persons who visited Dhanushkodi beach on weekend = 9600 – 4400 = 5200

Number of persons visited Courtallam in weekdays = 11600 – 5200 = 6400

Required percentage = (6400 – 5200)/6400 * 100 = 18.75% less

Q5. The area of triangle is half the area of a square. The perimeter of the square is 224cms. What is the area of the triangle?

      A.  1568 cm²

      B.  1856 cm²

      C.  1558 cm²

      D.  1658 cm²

EXPLANATION

Answer: A

Let the side of square is x cm.

4x = 224

x = 56cm

area of triangle = 0.5*(x²)

area of triangle = 1568 cm²

hence, option A is correct.