TS Polycet (Polytechnic) 2018 Previous Question Paper with Answers And Model Papers With Complete Analysis

Q). If = 5 and =6 , then x, y is …………………
A) (9, 14)
B) (14,9)
C) (7, 9)
D) (14,18)

View Answer

B) (14,9)
Explanation: = 5
⇒ = 5
⇒ 3x+7y = 105
=6
=6
9x – 2y = 108 …………….(1)
3(3x + 7y = 105) = 9x + 21y = 315 …………….(2)
by solving (1) and (2)
9x — 2y= 108
9x + 21y = 315
(-) (-) (-)
____________
-23y = -207
Y = 9
Now substitute y = 9 in 3x + 7y = 105
3x + 7 x 9 = 105
⇒ 3x + 63 = 105
⇒ 3x = 105 – 63 = 42
⇒ x = 14
∴ x = 14 and y = 9

Q). The graph of y + x² = 0 lies in the quadrants
A) Q₁,Q₂
B) Q₂,Q₃
C) Q₃,Q₄
D) Q₄,Q₁

Q). Solution of the equations √2x + √3y = 0 and √3x – √8y = 0 is ………………………
A) x = 1, y = 0
B) x = 0;y=l
C) x=1,y=1
D) x = 0, y = 0

Q). If 2^X + 3^y = 17 and 2^{X + 2} – 3^{y + 1} = 5, then y = …………………….
A) 2
B) 3
C) 1
D) 7

Q). x + y = 2015 has ….. number of solutions.
A) 10
B) 2014
C) 20
D) infinite

Q). The condition for a x² + bx + c = 0 to be a quadratic equation is
A) a, b, c ∈R
B) a=0,c ≠0
C) a ≠0
D) a=0,b ≠0

Q). The difference between two consecutive positive integers is
A) 2
B) 3
C) 1
D) 4

Q). If α,β are the roots of ax² + bx + c = 0, then 1/α + 1/β =
A) –b/c
B) b/c
C) c/b
D) –c/b

View Answer

A) –b/c
Explanation: 1/α + 1/β =
=
= -b/c

Q). If 65 diagonals are drawn to a polygon of ‘n’ sides, then what is the value of ‘n’?
A) 10
B) 20
C) 13
D) None

View Answer

C) 13
Explanation: No. of sides of polygon = n
No. of diagonal of a polygon having ‘n’ sides =
= 65 ⇒ n² – 3n = 130
⇒ n²-3n-130 = 0 ⇒ n² + 10n-13n-130=0
⇒ n (n + 10) – 13 (n + 10) =0
⇒ (n + 10) (n – 13) = 0 ⇒ n = 13
∴ No. of sides are n = 13

Q). Find the 10th term in A.P. 5, 1, -3, -7,…………….
A) -31
B) 31
C) 41
D) 71