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Question 3 NAT 2024 Medium NAT +4.00 marks

How many unique shapes are there in the image below? [Figure: see page 4 of source PDF]

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A "group of letters" has a few letters flipped on vertical axis. The mirror image of this "group of letters" is shown below. What is the total number of flipped letters in the group? [Figure: see page 4 of source PDF]

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How many paper cups (of the dimensions shown below) can be made from one A4 paper? (Cup: top diameter 6.5 cm, bottom diameter 5.5 cm, height 6.5 cm.) [Figure: see page 5 of source PDF]

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The two objects on the left have a height of 1 cm and sides of 4 cm. The yellow object on the right has a total height of 5 cm. The cylindrical base of the yellow object has a diameter of 6 cm and a height of 1 cm. The two objects on the left are to be stacked on the yellow objec…

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Figure P is the image of a complete bicycle. If parts can be shared between two or more bicycles and flipping of Figure P is allowed, how many complete bicycles are there in the Figure Q? [Figure: see page 5 of source PDF]

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What number will replace the question mark? Boxes (top pair -> bottom number): 2 | 4 -> 12; 10 | 5 -> 75; 12 | 9 -> ?; 6 | 7 -> 63; 8 | 3 -> 36.

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Coloured cubes (red and yellow) of equal size are arranged and stacked to form the cuboidal structure as shown in the image. If the ratio of the number of yellow cubes to that of the red cubes is 1:3, how many yellow cubes are NOT visible in the image? [Figure: see page 6 of sour…

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Shown below is the view and cross-section of a seat belt used in aeroplanes. Part X has four different components P, Q, R and S. How many springs are required to be fixed on the part S to make the seat belt work? [Figure: see page 7 of source PDF]

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A pin is connected perpendicular to the centre of a circular disk as shown. A little push will make it roll over a grey circle. How many turns does it take to come back to its original position? (The pin makes 30° with the ground and the distance from the pin tip to the contact p…

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