Page 361 - Math_Genius_V1.0_C8_Flipbook

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\ 24-Dec-2024 Bharat Arora Proof-3 Reader’s Sign _______________________ Date __________

12. Assertion(A): If the three-digit number 2x8 is divisible by 4, then the value of x is 0 or 2 or
4 or 6 or 8.

Reason(R): A number is divisible by 4, if the sum is a multiple of 4 or if the sum of its digits
is divisible by 4.
B. Fill in the blanks.

1. The coordinates of origin are .................

2. (–7, 0) will lie on .................
3. If A4 + 7B = 150, then the value of A + B is ................. .

4. If 793x0 is a multiple of 3, where x is a digit, then the smallest value of x is .................

5. A polyhedron is ................. if its faces are congruent regular polygons and the same number
of faces meet at each vertex.
C. State whether the following statements are True (T) or False (F).
1. The usual form of 1.55 × 10 is 15500000000000.
11
)
)
2. The value of (x a + b a – b × (x b + c b – c × (x c + a c – a is 1.
)
3. The lower limit of the continuous class-interval 45-55 is 45.5.
p
4. The necessary condition for a number written in the form of q is to be a rational number
is q = 1.

5. The sum of interior angles of a polygon of n sides is (n – 2) × straight angles.
D. Attempt the following questions.

1. Evaluate using suitable identities: 495 × 505.

2. Name the following polyhedrons and verify the Euler’s formula for each of them:

(a) (b) (c)

3. If 140 m of water is to be used to irrigate a rectangular field whose area is 700 m . What
3
2
will be the height of the water level in the field?
4. Divide 188 by 10,00,000 and express the result in standard form.
E
5. Find the area of polygon ABCDEF, if AD = 18 cm, AQ = 14 F
cm, AP = 12 cm, AN = 8 cm, AM = 4 cm, and FM, EP, QC and 5 cm 6 cm
BN are perpendiculars to diagonal AD. Q
A N D
P
6. Radha bought a car for ₹2,50,000. Next year its price M 5 cm 4 cm
decreased by 10% and further next year it decreased by 12%.

What is the value of the car after 2 years? B C

359 Model Test Paper – 2