Previous Years Solved Placement Papers
- There are 20 balls which are red, blue, or green. If 7 balls are green and the sum of red balls and green balls is less than 13, at most how many red balls are there?
(A) 4
(B) 5
(C) 6
(D) 7
(Ans: B) - If \( n \) is the sum of two consecutive odd integers and less than 100, what is the greatest possibility of \( n \)?
(A) 98
(B) 94
(C) 96
(D) 99
(Ans: C) - There are 4 boxes colored red, yellow, green, and blue. If 2 boxes are selected, how many combinations are there for at least one green box or one red box to be selected?
(A) 1
(B) 6
(C) 9
(D) 5
(Ans: D) - All faces of a cube with an eight-meter edge are painted red. If the cube is cut into smaller cubes with a two-meter edge, how many of the two-meter cubes have paint on exactly one face?
(A) 24
(B) 36
(C) 60
(D) 48
(Ans: A) - Two cyclists begin training on an oval racecourse at the same time. The professional cyclist completes each lap in 4 minutes; the novice takes 6 minutes to complete each lap. How many minutes after the start will both cyclists pass at exactly the same spot where they began to cycle?
(A) 10
(B) 8
(C) 14
(D) 12
(Ans: D) - M, N, O, and P are all different individuals; M is the daughter of N; N is the son of O; O is the father of P. Among the following statements, which one is true?
(A) M is the daughter of P
(B) If B is the daughter of N, then M and B are sisters
(C) If C is the granddaughter of O, then C and M are sisters
(D) P and N are brothers
(Ans: B) - In the adjoining diagram, ABCD and EFGH are squares of side 1 unit such that they intersect in a square of diagonal length (CE) = 1/2. The total area covered by the squares is:
(A) Cannot be found from the information
(B) \( 1 1/2 \)
(C) \( 1 7/8 \)
(D) None of these
(Ans: C) - There are 10 stepping stones numbered 1 to 10. A fly jumps from the first stone as follows: Every minute it jumps to the 4th stone from where it started � that is, from 1st it would go to 5th and from 5th it would go to 9th and from 9th it would go to 3rd, etc. Where would the fly be at the 60th minute if it starts at 1?
(A) 1
(B) 5
(C) 4
(D) 9
(Ans: A) - A, B, C, and D go for a picnic. When A stands on a weighing machine, B also climbs on, and the weight shown was 132 kg. When B stands, C also climbs on, and the machine shows 130 kg. Similarly, the weight of C and D is found as 102 kg, and that of B and D is 116 kg. What is D's weight?
(A) 58 kg
(B) 78 kg
(C) 44 kg
(D) None
(Ans: C) - Roy is now 4 years older than Erik and half of that amount older than Iris. If in 2 years, Roy will be twice as old as Erik, then in 2 years what would be Roy's age multiplied by Iris's age?
(A) 28
(B) 48
(C) 50
(D) 52
(Ans: B) - A drawer holds 4 red hats and 4 blue hats. What is the probability of getting exactly three red hats or exactly three blue hats when taking out 4 hats randomly out of the drawer and immediately returning every hat to the drawer before taking out the next?
(A) 1/2
(B) 1/8
(C) 1/4
(D) 3/8
(Ans: B) - Tim and Elan are 90 km from each other. They start to move towards each other simultaneously, Tim at a speed of 10 km/h and Elan at 5 km/h. If every hour they double their speed, what is the distance that Tim will pass until he meets Elan?
(A) 45
(B) 60
(C) 20
(D) 80
(Ans: B) - A father purchases dresses for his three daughters. The dresses are of the same color but of different sizes. The dress is kept in a dark room. What is the probability that all three will not choose their own dress?
(A) 2/3
(B) 1/3
(C) 1/6
(D) 1/9
(Ans: C)