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Objective Questions

Latest International Mathematics Olympiad Exam Question (Objective Questions), MCQ in English

Subjects : Mathematic, Achievers Section

Question Bank International Mathematics Olympiad Class 10 Exam Level-2 - English
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Mathematic

Question 1Single Answer
Find the next term: ○, △, □, ○, △, ?
  1. A
    ○
  2. B
    △
  3. C
    □
  4. D
    ◇
Question 2Single Answer
Find the next term: ▲, ▼, ▲, ▼, ▲, ?
  1. A
    ▲
  2. B
    ■
  3. C
    ▼
  4. D
    ●
Question 3Single Answer
Find the next figure: ■, □, ■, □, ■, ?
  1. A
    ■
  2. B
    □
  3. C
    △
  4. D
    ○
Question 4Single Answer
Complete the pattern: ○, ○○, ○○○, ○○○○, ?
  1. A
    ○○○○○
  2. B
    ○○○○
  3. C
    ○○○
  4. D
    ○○
Question 5Single Answer
Which comes next? △, □, pentagon, hexagon, ?
  1. A
    Triangle
  2. B
    Circle
  3. C
    Heptagon
  4. D
    Square
Question 6Single Answer
Find the odd one out.
  1. A
    Triangle
  2. B
    Square
  3. C
    Rectangle
  4. D
    Circle
Question 7Single Answer
Find the odd one out.
  1. A
    ■
  2. B
    □
  3. C
    ●
  4. D
    ▲
Question 8Single Answer
Which shape has the greatest number of sides?
  1. A
    Hexagon
  2. B
    Pentagon
  3. C
    Triangle
  4. D
    Quadrilateral
Question 9Single Answer
If ▲ becomes ▼ after rotation, the figure has been rotated through:
  1. A
    45°
  2. B
    180°
  3. C
    90°
  4. D
    360°
Question 10Single Answer
If → is rotated 90° anticlockwise, it becomes:
  1. A
    ↓
  2. B
    ↑
  3. C
    ←
  4. D
    →
Question 11Single Answer
If ↑ is rotated 90° clockwise, it becomes:
  1. A
    →
  2. B
    ←
  3. C
    ↓
  4. D
    ↑
Question 12Single Answer
If ← is rotated through 180°, it becomes:
  1. A
    →
  2. B
    ↓
  3. C
    ↑
  4. D
    ←
Question 13Single Answer
Find the next direction: ↑, →, ↓, ←, ↑, ?
  1. A
    ←
  2. B
    →
  3. C
    ↓
  4. D
    ↑
Question 14Single Answer
Find the next direction: →, ↓, ←, ↑, →
  1. A
    ↑
  2. B
    ↓
  3. C
    ←
  4. D
    →
Question 15Single Answer
Complete the sequence: ↑, ↓, ↑, ↓, ↑, ?
  1. A
    ←
  2. B
    →
  3. C
    ↓
  4. D
    ↑
Question 16Single Answer
Which figure is symmetrical about both horizontal and vertical axes?
  1. A
    Scalene triangle
  2. B
    Parallelogram
  3. C
    Rectangle
  4. D
    Irregular pentagon
Question 17Single Answer
Which figure has infinitely many lines of symmetry?
  1. A
    Square
  2. B
    Circle
  3. C
    Rectangle
  4. D
    Equilateral triangle
Question 18Single Answer
How many lines of symmetry does a square have?
  1. A
    2
  2. B
    3
  3. C
    4
  4. D
    6
Question 19Single Answer
How many lines of symmetry does an equilateral triangle have?
  1. A
    3
  2. B
    2
  3. C
    1
  4. D
    4
Question 20Single Answer
Which figure has no line of symmetry in general?
  1. A
    Circle
  2. B
    Square
  3. C
    Scalene triangle
  4. D
    Rectangle
Question 21Single Answer
Find the next number represented by dots: •, •••, •••••, •••••••, ?
  1. A
    9 dots
  2. B
    8 dots
  3. C
    10 dots
  4. D
    11 dots
Question 22Single Answer
Find the next group: ■■, ■■■■, ■■■■■■, ?
  1. A
    7 squares
  2. B
    8 squares
  3. C
    9 squares
  4. D
    10 squares
Question 23Single Answer
What comes next? △, △△, △△△△, △△△△△△△△, ?
  1. A
    16 triangles
  2. B
    12 triangles
  3. C
    10 triangles
  4. D
    18 triangles
Question 24Single Answer
Find the odd pattern.
  1. A
    ○○
  2. B
    △△
  3. C
    □□
  4. D
    ○△
Question 25Single Answer
Which pair is different?
  1. A
    ▲▼
  2. B
    ▲▲
  3. C
    ●○
  4. D
    ■□
Question 26Single Answer
The HCF of 96 and 404 is:
  1. A
    4
  2. B
    2
  3. C
    8
  4. D
    12
Question 27Single Answer
The LCM of 12, 15 and 20 is:
  1. A
    30
  2. B
    60
  3. C
    45
  4. D
    120
Question 28Single Answer
If HCF(a, b) = 6 and LCM(a, b) = 180, and a = 30, then b is:
  1. A
    24
  2. B
    36
  3. C
    30
  4. D
    42
Question 29Single Answer
Which of the following is irrational?
  1. A
    √49
  2. B
    0.25
  3. C
    √5
  4. D
    7/11
Question 30Single Answer
The decimal expansion of 13/40 terminates after:
  1. A
    1 decimal place
  2. B
    2 decimal places
  3. C
    3 decimal places
  4. D
    4 decimal places
Question 31Single Answer
Which fraction has a terminating decimal expansion?
  1. A
    7/12
  2. B
    11/15
  3. C
    17/21
  4. D
    13/40
Question 32Single Answer
According to Euclid's division lemma, for positive integers a and b, we can write:
  1. A
    a = bq − r
  2. B
    a = br + q
  3. C
    a = bq + r, where 0 ≤ r < b
  4. D
    a = q + r
Question 33Single Answer
The prime factorisation of 360 is:
  1. A
    2² × 3² × 5
  2. B
    2⁴ × 3 × 5
  3. C
    2³ × 3 × 5²
  4. D
    2³ × 3² × 5
Question 34Single Answer
The HCF of 144 and 180 is:
  1. A
    12
  2. B
    36
  3. C
    24
  4. D
    18
Question 35Single Answer
The LCM of 18 and 24 is:
  1. A
    72
  2. B
    48
  3. C
    36
  4. D
    96
Question 36Single Answer
If p is a prime number, then √p is:
  1. A
    Always rational
  2. B
    Always irrational
  3. C
    Always an integer
  4. D
    Sometimes zero
Question 37Single Answer
The product of HCF and LCM of two positive integers equals:
  1. A
    Their product
  2. B
    Their difference
  3. C
    Their sum
  4. D
    Their quotient
Question 38Single Answer
Which number has a non-terminating recurring decimal expansion?
  1. A
    7/12
  2. B
    5/16
  3. C
    3/8
  4. D
    9/25
Question 39Single Answer
The decimal representation of 1/8 is:
  1. A
    0.375
  2. B
    0.25
  3. C
    0.125
  4. D
    0.625
Question 40Single Answer
Which of the following is rational?
  1. A
    √2
  2. B
    √3
  3. C
    √7
  4. D
    √16
Question 41Single Answer
The smallest number divisible by 12, 18 and 30 is:
  1. A
    90
  2. B
    180
  3. C
    120
  4. D
    360
Question 42Single Answer
If two positive integers are coprime, their HCF is:
  1. A
    0
  2. B
    1
  3. C
    2
  4. D
    Their product
Question 43Single Answer
The HCF of two consecutive positive integers is always:
  1. A
    1
  2. B
    0
  3. C
    2
  4. D
    Their difference
Question 44Single Answer
Which denominator, in lowest form, gives a terminating decimal expansion?
  1. A
    40
  2. B
    30
  3. C
    21
  4. D
    42
Question 45Single Answer
The value of √2 × √8 is:
  1. A
    2
  2. B
    16
  3. C
    8
  4. D
    4

Achievers Section

Question 46Single Answer
If HCF(306, 657) = 9, then LCM(306, 657) is:
  1. A
    21,324
  2. B
    22,338
  3. C
    23,256
  4. D
    24,318
Question 47Single Answer
If a = 2³ × 3² × 5 and b = 2² × 3³ × 7, then HCF(a, b) is:
  1. A
    36
  2. B
    18
  3. C
    72
  4. D
    108
Question 48Single Answer
The decimal expansion of 13/1600 terminates after how many decimal places?
  1. A
    4
  2. B
    5
  3. C
    6
  4. D
    7
Question 49Single Answer
If x = 3 + 2√2, then 1/x equals:
  1. A
    3 + 2√2
  2. B
    3 − 2√2
  3. C
    2√2 − 3
  4. D
    1/(3 − 2√2)
Question 50Single Answer
Which of the following is irrational?
  1. A
    √81 − √49
  2. B
    √50 − √8
  3. C
    √121/11
  4. D
    √0.25
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