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1.
In the question given below a word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in the 2 matrices given below. The columns and rows of matrix I are numbered from 0 to 4 and that of matrix II from 5 to 9. A letter from these matrices can be represented first by its row and next by column number. Identify the set for the word FARM.
0 1 2 3 4 0 C A F E D 1 C D A E D 2 D E C F E 3 A D D D C 4 D C A C A 5 6 7 8 9 5 T R R S M 6 S T M R S 7 R S P T P 8 P S T R T 9 P M P M S
(1) 23, 12, 68, 96
(2) 44, 43, 87, 57
(3) 02, 30, 85, 65
(4) 20, 31, 76, 68
asked in FMS
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2.
Radha and Minnilal have two children—Simmi and Divya. Divya is married to Anuj who is the son of Madhu and Jabbar. Resham is the daughter of Anuj. Kiran who is Anju’s sister is married to Subodh and has two sons Tarun and Aman. Tarun is grandson of Madhu and Jabbar.
[1] What is the relationship between Aman and Resham?
(1) Cousins
(2) None of these
(3) Uncle—Niece
(4) Father—Daughter[2] How is Subodh related to Jabbar?
(1) Father-in-law
(2) None of these
(3) Son-in-law
(4) Son[3] How is Kiran related to Divya?
(1) Sister
(2) None of these
(3) Grandmother
(4) Sister-in-law[4] Which of the following statements is definitely true?
(1) Resham is the cousin of Kiran
(2) All the three are true
(3) Aman is the son of Simmi
(4) Madhu is the mother-in-law of Subodh
asked in FMS
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3.
A dice has six distinct numbers (positive integers) inscribed on its faces, the sum of numbers on opposite faces being 36, 40 and 41. Another identical dice (with identical numbering) is brought and tossed together twice. The sum of numbers thrown up was found to be 33 and 39 while the sums of hidden numbers were 43 and 38 respectively.
[1] Let the difference between two numbers on the opposite faces be 5 and another two on the opposite faces be 14. The least number inscribed on the dice will be:
(1) 15
(2) 16
(3) 13
(4) 14[2] Which of the following will definitely be a difference between two of the inscribed numbers?
(1) 6
(2) None of these
(3) 2
(4) 4[3] If one of the sum of two inscribed numbers is 37, then which of the following must also be a sum of two numbers?
(1) 45
(2) 46
(3) 42
(4) 44asked in FMS
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4.
125 cubes of similar size are arranged in the form of a bigger cube (5 cubes on each side, i.e., 5 × 5 × 5). From one corner of the top layer of this cube, four smaller cubes (2 × 2 × 1) are removed. From the column on the opposite side, two cubes (1 × 1 × 2) are removed, and from the third corner, three cubes (1 × 1 3) are removed and from the fourth column four cubes (1 × 1 × 4) are removed. All exposed faces of the block thus formed are coloured red.
[1] How many small cubes are left in the block?
(1) 109
(2) 114
(3) 112
(4) 110[2] How many cubes do not have any coloured face?
(1) 38
(2) 44
(3) 25
(4) 35[3] How many cubes have only two coloured faces?
(1) 32
(2) 36
(3) 18
(4) 29[4] How many cubes in the top layer have three red faces each?
(1) 6
(2) 8
(3) 3
(4) 4asked in FMS
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5.
A company wants to select a team of four mechanical engineers from its South Indian Factory for transfer to North India, where they are going to set up a new plant. The company is managed by professional managers and is very particular about human resources and industrial relations. There are seven engineers of equal ability; X, Y and Z (who are in Senior Executive Cadre) and A, B, C and D (who are in Junior Executive Cadre). The company requires that there should be two Senior Executives and two Junior Executives in each team. It is also necessary that all the engineers in a particular team are friendly with each other, in order to have a real team spirit and avoid any industrial relations problem in the new factory being set up in the North. Following is the situation of relations between the seven engineers:
I. Y and A are not friendly.
II. Z and C are not friendly.
III. A and B are not friendly.[1] If B is selected and Y is rejected, the team will consist of:
(1) X, Z, C and B
(2) Z, C, D and B
(3) X, Z, A and B
(4) X, Z, D and B[2] If A is on the team then which other engineers must be on the team as well?
(1) X, Z and B
(2) X, Z and C
(3) X, Y and D
(4) X, Z and D[3] If both Y and Z are selected, which of the other engineers must be on the team with them?
(1) Both B and A
(2) Both B and D
(3) Both C and D
(4) Only D[4] Which statement(s) must be false?
I. Y and C are never selected together.
II. Z and B are never selected together.
III. Z and D are never selected together.
(1) III only
(2) I, II and III
(3) I only
(4) II only
asked in FMS
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6.
Mr Ghosh recently redecorated his house by coordinating orange and three other colours for the walls, carpets and curtains of four different rooms. From the information below, determine the colours of the carpet, walls and curtains for each of the room and answer the following questions:
(1) Yellow was the only colour used in all the four rooms. It was used at least once for walls, carpets and curtains.
(2) Three different colours were used in each room but only the dining room and the bedroom were decorated in the same three colours.
(3) The same colour was chosen for the curtains in the bedroom, the carpet in the living room and the walls in the dining room. That colour was not used at all in the study room.
(4) The only room with both green and grey in its colour scheme had carpet of the same colour as in the dining room.
(5) Grey was the only colour used exactly twice—both times for curtains
(6) The study room walls were painted the same colour as the living room walls.[1] Which of the following rooms had orange curtains and green walls?
(1) Dining room
(2) Living room
(3) Bedroom
(4) Study[2] Which of the two rooms had green carpets?
(1) Dining room and bedroom
(2) Study and living room
(3) Living room and dining room
(4) Study and dining room[3] Which room did not use grey colour at all?
(1) Dining room
(2) Cannot say
(3) Study
(4) Living room[4] The dining room had ___ curtains.
(1) green
(2) yellow
(3) orange
(4) greyasked in FMS
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