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\ 15-Nov-2024 Surender Prajapati Proof-5 Reader’s Sign _______________________ Date __________

B. Fill in the blanks.
p
1. If p = t q and s = t q , then = ...................... .
5 4
2
s
2. The solution of the equation mx – n = 0 is ...................... .
3. (3 × 3 ) ÷ 3 ....................... .
14
3
4
4. (3p + q – qr) – (6p + q – qr) = ....................... .
5. Perimeter of a triangle having lengths of its sides as (3x + y) units, (6x + 2y) units and
(9 x – y) units is ....................... .
C. Write ‘T’ for true and ‘F’ for false statement.

1. If m and n are negative integers, then the solution of the equation mx = n will always be a
positive integer.
2. If A = 6xy – x + 3y, B = 4x – 2xy – 9y and C = 6y – 3x – 4xy, then A + B + C is equal to 0.

4
3. () 6 × () 4 29 = 2 64 .
() 3
4
4. A number is said to be in standard form if it is expressed as a × 10 , where 1 > a > 10 and
m
m is an integer.

5. For x = –14, 2x + 1 = x – 15
D. Solve the following questions.

1. Lines PQ, RS, and TU intersect each other at P R
point X as shown in the given figure. T 35° 37° U
X
Find the measure of ∠QXS.
S Q
4
3
3
2. Evaluate: (a) 20 × 9 × 16 2 (b) 5 × 3x 6 × 9y 8
6
4 × 3 4 27y 5 × 25x 2
3. One of two supplementary angles is 48° more than the measure of the smaller one. Find
their measures.
4. If A = –5x + 9y + 2z, B = 9x – 7y + 4z and C = 10x – 2y – 6z, find the value of k, if

A + B + C = kx.
5. Jatin’s father gave him `7xy and his mother gave him `(6xy + 10). Out of this total money,
2
3
he spent `(15 + 4xy ) on his birthday party. How much money is left with him?
3
6. Subtract the sum of (2p + 9q – 7pqr) and (8pqr – 4p – 2q) from 12p + 15q + 18pqr.
7. Nine times a number is 21 less than 16 times the same number. Find the number.

Mathematics-7 168