About this quiz
50 questions on figure series, mirror and water images, mirror clocks, paper folding, counting figures and dice.
This Lok Sewa practice set has 50 multiple-choice questions (Subject: Maths and IQ · For: Kharidar, Nayab Subba, Section Officer · Level: Medium). Take the quiz above first; after that, use the study list below to revise every question with its correct answer and a short explanation.
Study list: all 50 questions with answers and explanations
Which letter looks exactly the same in a mirror (left-right reflection)?
- A) B
- B) H ✔
- C) F
- D) R
Why: H has a vertical line of symmetry, so its mirror image is the same.
Which letter looks exactly the same in a water image (top-bottom reflection)?
- A) A
- B) M
- C) E ✔
- D) T
Why: E has a horizontal line of symmetry, so it looks the same upside-down in water.
Which letter looks the same in both a mirror image and a water image?
- A) O ✔
- B) A
- C) E
- D) M
Why: O is symmetric both left–right and top–bottom, so it looks the same in a mirror and in water.
A mirror image swaps:
- A) Top and bottom
- B) Left and right ✔
- C) Both top-bottom and left-right
- D) Nothing
Why: A mirror at the side reverses left and right but keeps top and bottom.
A water image swaps:
- A) Left and right
- B) Nothing
- C) Top and bottom ✔
- D) The colour of the figure
Why: A water image flips a figure upside down, swapping top and bottom. A mirror image swaps left and right.
A clock seen in a mirror shows 3:15. What is the real time?
- A) 9:15
- B) 8:45 ✔
- C) 9:45
- D) 3:45
Why: Real time = 11:60 − 3:15 = 8:45.
A clock seen in a mirror shows 2:30. What is the real time?
- A) 9:30 ✔
- B) 10:30
- C) 8:30
- D) 2:30
Why: Real time = 11:60 − 2:30 = 9:30.
A square sheet is folded in half and then in half again, and one hole is punched. How many holes are there when it is opened?
- A) 2
- B) 3
- C) 8
- D) 4 ✔
Why: Two folds make 4 layers, and the punch goes through all of them.
A sheet is folded once and punched once. How many holes are there after opening?
- A) 1
- B) 2 ✔
- C) 3
- D) 4
Why: One fold makes 2 layers, so one punch makes 2 holes.
A sheet is folded three times and punched once. How many holes are there after opening?
- A) 6
- B) 4
- C) 8 ✔
- D) 16
Why: Three folds make 2 × 2 × 2 = 8 layers, so one punch makes 8 holes.
On a standard die, which number is opposite 2?
- A) 5 ✔
- B) 4
- C) 6
- D) 3
Why: Opposite faces of a standard die add up to 7, so 5 is opposite 2.
On a standard die, the numbers on opposite faces add up to:
- A) 6
- B) 8
- C) 7 ✔
- D) 12
Why: 1 and 6, 2 and 5, 3 and 4 are opposite pairs; each adds up to 7.
An arrow points up and turns 90° clockwise each step. Where does it point after 3 steps?
- A) Down
- B) Right
- C) Up
- D) Left ✔
Why: Up → right → down → left. After 3 clockwise quarter-turns it points left.
A figure turns 45° each step. After how many steps does it return to its starting position?
- A) 4
- B) 8 ✔
- C) 6
- D) 12
Why: 360° ÷ 45° = 8 steps to return to the start.
In a triangle, lines from the top vertex divide the base into 4 parts. How many triangles are there in total?
- A) 10 ✔
- B) 8
- C) 4
- D) 12
Why: Triangles = n × (n + 1) ÷ 2 = 4 × 5 ÷ 2 = 10.
How many triangles are there in a square with both diagonals drawn?
- A) 4
- B) 6
- C) 8 ✔
- D) 10
Why: 4 small triangles and 4 larger triangles each made of two small ones.
How many squares are there in a 3 × 3 grid?
- A) 9
- B) 13
- C) 10
- D) 14 ✔
Why: 9 small squares, 4 squares of size 2 × 2 and 1 large square: 14.
How many squares are there in a 2 × 2 grid?
- A) 4
- B) 5 ✔
- C) 6
- D) 8
Why: A 2 × 2 grid has 4 small squares and 1 large square: 5 squares.
Which word looks exactly the same in a mirror?
- A) BOB
- B) DAD
- C) MOM ✔
- D) NUN
Why: M and O are symmetric left to right and MOM reads the same backwards. B, D and N are not symmetric.
A dot starts at the top-left corner of a square and moves one corner clockwise each step. Where is it after 5 steps?
- A) Top-left
- B) Bottom-right
- C) Bottom-left
- D) Top-right ✔
Why: Clockwise: TL → TR → BR → BL → TL → TR. After 5 steps it is at the top-right.
The mirror image of the letter 'b' looks like:
- A) d ✔
- B) p
- C) q
- D) b
Why: A mirror swaps left and right, so 'b' looks like 'd'.
The water image of 'M' looks like:
- A) W ✔
- B) M
- C) N
- D) V
Why: A water image flips top and bottom, so 'M' looks like 'W'.
Which letter does NOT look the same in a mirror?
- A) F ✔
- B) A
- C) H
- D) O
Why: F is not left–right symmetric, so its mirror image looks different. A, H and O look the same.
Which letter looks the same in a water image?
- A) E ✔
- B) F
- C) G
- D) J
Why: E is top–bottom symmetric, so its water image looks the same.
A clock seen in a mirror shows 4:20. The actual time is:
- A) 7:40 ✔
- B) 8:40
- C) 4:40
- D) 7:20
Why: Real time = 11:60 − 4:20 = 7:40.
A clock seen in a mirror shows 9:00. The actual time is:
- A) 3:00 ✔
- B) 9:00
- C) 6:00
- D) 12:00
Why: Real time = 11:60 − 9:00 = 2:60 = 3:00.
A clock seen in a mirror shows 6:00. The actual time is:
- A) 6:00 ✔
- B) 12:00
- C) 3:00
- D) 9:00
Why: Real time = 11:60 − 6:00 = 5:60 = 6:00, so 6:00 looks the same in a mirror.
A clock seen in a mirror shows 1:50. The actual time is:
- A) 10:10 ✔
- B) 11:10
- C) 10:50
- D) 1:10
Why: Real time = 11:60 − 1:50 = 10:10.
For mirror-clock questions, the actual time is found by subtracting the shown time from:
- A) 11:60 ✔
- B) 12:00
- C) 18:30
- D) 6:30
Why: Subtract the shown time from 11:60 (that is, 12:00) to get the actual time.
On a standard die, the number opposite 3 is:
- A) 4 ✔
- B) 5
- C) 6
- D) 2
Why: Opposite faces add up to 7, so 4 is opposite 3.
A cube painted on all faces is cut into 27 equal cubes. How many have 3 faces painted?
- A) 8 ✔
- B) 12
- C) 6
- D) 1
Why: Only the 8 corner cubes have 3 painted faces.
In the same 27 cubes, how many have exactly 2 faces painted?
- A) 12 ✔
- B) 8
- C) 6
- D) 4
Why: Each of the 12 edges has 1 middle cube with 2 painted faces: 12 cubes.
In the same 27 cubes, how many have exactly 1 face painted?
- A) 6 ✔
- B) 8
- C) 12
- D) 1
Why: Each of the 6 faces has 1 centre cube with 1 painted face: 6 cubes.
In the same 27 cubes, how many have no painted face?
- A) 1 ✔
- B) 0
- C) 6
- D) 8
Why: Only the single cube at the very centre has no painted face.
How many edges does a cube have?
- A) 12 ✔
- B) 8
- C) 6
- D) 10
Why: A cube has 12 edges.
How many vertices (corners) does a cube have?
- A) 8 ✔
- B) 6
- C) 12
- D) 4
Why: A cube has 8 vertices (corners).
A triangle with one line from its top vertex to its base contains how many triangles?
- A) 3 ✔
- B) 2
- C) 4
- D) 1
Why: The line makes 2 small triangles, and the whole figure is a third triangle: 3.
How many squares are in a 4 × 4 grid?
- A) 30 ✔
- B) 16
- C) 25
- D) 20
Why: Squares in a 4 × 4 grid = 16 + 9 + 4 + 1 = 30.
How many rectangles (including squares) are in a 2 × 2 grid?
- A) 9 ✔
- B) 4
- C) 5
- D) 8
Why: Rectangles = (3 choose 2) × (3 choose 2) = 3 × 3 = 9.
An arrow pointing North is turned 180°. It points:
- A) South ✔
- B) East
- C) West
- D) North
Why: Turning 180° reverses the direction: North becomes South.
A figure turns 90° clockwise each step. After 4 steps it is:
- A) Back in its original position ✔
- B) Upside down
- C) Facing left
- D) Facing right
Why: 4 × 90° = 360°, a full turn, so it is back in its original position.
Series: 1 dot, 2 dots, 3 dots, ?
- A) 4 dots ✔
- B) 5 dots
- C) 6 dots
- D) 3 dots
Why: The dots increase by one each time, so next is 4 dots.
Series: square, pentagon, hexagon, ?
- A) Heptagon ✔
- B) Octagon
- C) Triangle
- D) Circle
Why: The sides increase by one: 4, 5, 6, then 7 sides, a heptagon.
A square paper is folded twice and one hole is punched. On opening, how many holes?
- A) 4 ✔
- B) 2
- C) 1
- D) 8
Why: Two folds make 4 layers, so one punch makes 4 holes.
A paper folded once and punched twice shows how many holes when opened?
- A) 4 ✔
- B) 2
- C) 3
- D) 6
Why: One fold makes 2 layers; 2 punches × 2 layers = 4 holes.
Which shape has no line of symmetry?
- A) Scalene triangle ✔
- B) Square
- C) Circle
- D) Equilateral triangle
Why: A scalene triangle has all sides different, so it has no line of symmetry.
How many lines of symmetry does a square have?
- A) 4 ✔
- B) 2
- C) 1
- D) 8
Why: A square has 4 lines of symmetry: 2 through the middles of the sides and 2 diagonals.
How many lines of symmetry does an equilateral triangle have?
- A) 3 ✔
- B) 1
- C) 2
- D) 6
Why: An equilateral triangle has 3 lines of symmetry, one from each vertex.
How many lines of symmetry does a rectangle (not square) have?
- A) 2 ✔
- B) 4
- C) 1
- D) 0
Why: A rectangle that is not a square has 2 lines of symmetry.
A circle has how many lines of symmetry?
- A) Infinite ✔
- B) 1
- C) 4
- D) 0
Why: Any line through the centre divides a circle equally, so it has infinitely many.