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Reasoning practice questions (Group 4)

Questions 1 to 5 of 20

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  1. Question 1

    A hall has 5 rows, each row has 4 long benches, and each bench seats 3 students. On each of the four benches of the last row 2 students sit, on one bench of the row before it one student sits, and every other bench has 3. How many students are in the hall?

    1. A. 56
    2. B. 60
    3. C. 54
    4. D. 48
    Answer and explanation

    Correct answer: C. 54

    Seats in all: 3 × 4 × 5 = 60; each bench of the last row has 1 empty seat, 4 in all; one bench of the row before has 2 empty seats; empty seats 4 + 2 = 6; students 60 − 6 = 54.

    Source: கணக்கு, ஆறாம் வகுப்பு, முதல் பருவம், தொகுதி 2, தமிழ் வழி (Mathematics, Standard VI, Term I, Volume 2, Tamil medium; Samacheer Kalvi) (இயல் 6 தகவல் செயலாக்கம், p. 110 (PDF p. 114))

  2. Question 2

    Two shorts A, B and four shirts p, q, r, s are listed systematically as Ap, Aq, Ar, As, Bp, ... Which pair comes 7th?

    1. A. Bq
    2. B. Bs
    3. C. Br
    4. D. Ar
    Answer and explanation

    Correct answer: C. Br

    Four with A: Ap, Aq, Ar, As (1-4); then with B: Bp (5), Bq (6), Br (7), Bs (8); so the 7th is Br; there are 8 pairs, none missed and none repeated.

    Source: கணக்கு, ஆறாம் வகுப்பு, முதல் பருவம், தொகுதி 2, தமிழ் வழி (Mathematics, Standard VI, Term I, Volume 2, Tamil medium; Samacheer Kalvi) (இயல் 6 தகவல் செயலாக்கம், pp. 110-111 (PDF pp. 114-115))

  3. Question 3

    Three floors are to be painted red, blue and green, each colour once. If the colour of one floor is fixed, in how many ways can the other two floors be painted?

    1. A. 2
    2. B. 1
    3. C. 3
    4. D. 6
    Answer and explanation

    Correct answer: A. 2

    With green fixed for one floor, the other two take red-blue or blue-red: 2 ways; fixing each of the three colours in turn gives 3 × 2 = 6 ways in all.

    Source: கணக்கு, ஆறாம் வகுப்பு, முதல் பருவம், தொகுதி 2, தமிழ் வழி (Mathematics, Standard VI, Term I, Volume 2, Tamil medium; Samacheer Kalvi) (இயல் 6 தகவல் செயலாக்கம், pp. 111-112 (PDF pp. 115-116))

  4. Question 4

    Four-digit numbers are written using each of the digits 2, 4, 7, 8 once only. How many of them are greater than 7000?

    1. A. 12
    2. B. 6
    3. C. 18
    4. D. 24
    Answer and explanation

    Correct answer: A. 12

    Using each of four digits once, 6 numbers begin with each digit; those greater than 7000 begin with 7 or 8: 6 + 6 = 12 (out of 24).

    Source: கணக்கு, ஆறாம் வகுப்பு, முதல் பருவம், தொகுதி 2, தமிழ் வழி (Mathematics, Standard VI, Term I, Volume 2, Tamil medium; Samacheer Kalvi) (இயல் 6 தகவல் செயலாக்கம், p. 112 (PDF p. 116))

  5. Question 5

    Of the 12 solutions of a 3 × 3 Sudoku, how many have 1 in the top-left cell?

    1. A. 2
    2. B. 6
    3. C. 3
    4. D. 4
    Answer and explanation

    Correct answer: D. 4

    Two first rows begin with 1, (1, 2, 3) and (1, 3, 2); each has 2 second rows and 1 third row; so 2 × 2 = 4 (a third of 12).

    Source: கணக்கு, ஆறாம் வகுப்பு, முதல் பருவம், தொகுதி 2, தமிழ் வழி (Mathematics, Standard VI, Term I, Volume 2, Tamil medium; Samacheer Kalvi) (இயல் 6 தகவல் செயலாக்கம் (6.3.1 சுடோகு), pp. 114-115 (PDF pp. 118-119))

More questions of this unit in the paid part: 160

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