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Aptitude MCQS Questions And Answers in Telugu : ఆంధà±à°°à°ªà±à°°à°¦à±‡à°¶à± మరియౠతెలంగాణ లో à°…à°¤à±à°¯à°‚à°¤ à°®à±à°–à±à°¯à°®à±ˆà°¨ మరియౠపà±à°°à°¤à°¿à°·à±à°Ÿà°¾à°¤à±à°®à°•మైన పరీకà±à°·à°²à± à°—à±à°°à±‚à°ªà±-1,2,3 మరియà±4, అలాగే SSC, రైలà±à°µà±‡ లలోనికి చాలా మంది ఆశావహà±à°²à± à°ˆ à°ªà±à°°à°¤à°¿à°·à±à°Ÿà°¾à°¤à±à°®à°• ఉదà±à°¯à±‹à°—ాలà±à°²à±‹ à°•à°¿ à°ªà±à°°à°µà±‡à°¶à°¿à°‚చడానికి ఆసకà±à°¤à°¿ చూపà±à°¤à°¾à°°à±.దీనికి పోటీ à°Žà°•à±à°•à±à°µà°—à°¾ ఉండడం కారణంగా, à°…à°§à°¿à°• వెయిటేజీ సంబంధిత సబà±à°œà±†à°•à±à°Ÿà±à°²à°¨à± à°Žà°‚à°šà±à°•à±à°¨à°¿ à°¸à±à°®à°¾à°°à±à°Ÿà± à°…à°§à±à°¯à°¯à°¨à°‚తో ఉదà±à°¯à±‹à°—à°‚ పొందవచà±à°šà±. à°ˆ పరీకà±à°·à°²à°²à±‹ à°®à±à°–à±à°¯à°®à±ˆà°¨ అంశాలౠఅయిన పౌర శాసà±à°¤à±à°°à°‚ , à°šà°°à°¿à°¤à±à°° , à°à±‚గోళశాసà±à°¤à±à°°à°‚, ఆరà±à°§à°¿à°• శాసà±à°¤à±à°°à°‚, సైనà±à°¸à± మరియౠవిజà±à°žà°¾à°¨à°‚, సమకాలీన అంశాలౠచాల à°®à±à°–à±à°¯à°®à±ˆà°¨ పాతà±à°° పోషిసà±à°¤à°¾à°¯à°¿. కాబటà±à°Ÿà°¿ Adda247, à°ˆ అంశాలకి సంబంధించిన కొనà±à°¨à°¿ à°®à±à°–à±à°¯à°®à±ˆà°¨ à°ªà±à°°à°¶à±à°¨à°²à°¨à± మీకౠఅందిసà±à°¤à±à°‚ది. à°ˆ పరీకà±à°·à°²à°ªà±ˆ ఆసకà±à°¤à°¿ ఉనà±à°¨ à°…à°à±à°¯à°°à±à°¥à±à°²à±Â దిగà±à°µ ఉనà±à°¨ à°ªà±à°°à°¶à±à°¨à°²à°¨à± పరిశీలించండి.
APPSC/TSPSC Sure shot Selection Group
Aptitude MCQs Questions and Answers In Telugu
Aptitude Questions -à°ªà±à°°à°¶à±à°¨à°²à±
దిశలౠ(1-5): à°ˆ à°ªà±à°°à°¤à°¿ à°ªà±à°°à°¶à±à°¨à°²à±‹à°¨à±‚ రెండౠసమీకరణాలౠ(I) మరియౠ(II) ఇవà±à°µà°¬à°¡à±à°¡à°¾à°¯à°¿. మీరౠరెండౠసమీకరణాలనౠపరిషà±à°•à°°à°¿à°‚à°šà°¿, సమాధానం ఇవà±à°µà°¾à°²à±à°¸à°¿ ఉంటà±à°‚ది.
(a) ఒకవేళ x > y
(b) ఒకవేళ x ≥ y
(c) ఒకవేళ  x = y లేదా x మరియౠy మధà±à°¯ ఎలాంటి సంబంధానà±à°¨à°¿ à°¸à±à°¥à°¾à°ªà°¿à°‚చలేం.
(d) ఒకవేళ y >  x
(e) ఒకవేళ  y≥ x
Q1.      (i) x² – 12x + 32 = 0
(ii) y² – 20y + 96 = 0
Q2.      (i) 2x² – 3x – 20 = 0
(ii) 2y² + 11y + 15 = 0
Q3.      (i) x² – x – 6 = 0
(ii) y² – 6y + 8 = 0
Q4.      (i) x² + 14x – 32 = 0
(ii) y² – y – 12 = 0
Q5.      (i) x² – 9x + 20 = 0
(ii) 2y² – 12y + 18 = 0
దిశలౠ(6-10): ఇవà±à°µà°¬à°¡à±à°¡ వరà±à°— సమీకరణాలనౠసాధించండి మరియౠమీ సమాధానం ఆధారంగా సరైన à°ªà±à°°à°¤à°®à±à°¨à°¾à°¯à°¾à°¨à±à°¨à°¿ ని à°—à±à°°à±à°¤à°¿à°‚à°šà°‚à°¡à°¿.
(a) x > y
(b) x ≥ y
(c) x < y
(d) x ≤ y
(e) x = y లేదా x మరియౠy మధà±à°¯ ఎలాంటి సంబంధానà±à°¨à°¿ à°¸à±à°¥à°¾à°ªà°¿à°‚చలేం.
Q6.      I. x² + 2x – 24 = 0
II. y² + 13y + 40 = 0
Q7.    Â
Q8.   Â
Q9. Â
Q10.   I. x² – 6x + 8 = 0
II. 2y² – 17y + 36 = 0
Solutions
S1. Ans.(e)
Sol.
(i) x² – 12x + 32 = 0
x² – 8x – 4x + 32 = 0
x (x – 8) – 4 (x – 8) = 0
(x – 8) (x – 4) = 0
x = 8, 4
(ii) y² – 20y + 96 = 0
y² – 12 y – 8y + 96 = 0
y(y – 12) – 8 (y – 12) = 0
(y – 8) (y – 12) = 0
y = 8, 12
y ≥ x
Â
S2. Ans.(b)
Sol.
(i) 2x² – 3x – 20 = 0
2x² – 8x + 5x – 20 = 0
2x (x – 4) + 5(x – 4) = 0
(x – 4) (2x + 5) = 0
x = 4, –5/2
(ii) 2y² + 11y + 15 = 0
2y² + 6y + 5y + 15 = 0
2y (y + 3) + 5 (y + 3) =0
(2y + 5) (y + 3) =0
y = -5/2 , –3
x ≥ y
S3. Ans.(c)
Sol.
(i) x² – x – 6 = 0
x² – 3x + 2x – 6 = 0
x (x – 3) +2 (x – 3) = 0
(x – 3) (x + 2) = 0
x = 3, –2
(ii) y² – 6y + 8 = 0
y² – 2y – 4y + 8 = 0
y (y – 2) – 4 (y – 2) = 0
(y – 2) (y – 4) = 0
y = 2, 4
No relation can be established between x and y
S4. Ans.(c)
Sol.
(i) x² + 14x – 32 = 0
x² + 16x -2x – 32 = 0
x (x +16) -2 (x +16) = 0
(x -2) (x + 16) = 0
x = –16, 2
(ii) y² – y – 12 = 0
y² – 4y + 3y – 12 = 0
y(y – 4) + 3(y – 4) = 0
(y + 3) ( y – 4) = 0
y = – 3, 4
No relation
S5. Ans.(a)
Sol.
(i) x² – 9x + 20 = 0
x² – 5x – 4x + 20 = 0
x (x – 5) –4 (x – 5) = 0
(x – 4) (x – 5) = 0
x = 4, 5
(ii) 2y² – 12y + 18 = 0
2y² – 6y – 6y + 18 = 0
2y (y – 3) –6 (y – 3) =0
(2y – 6) (y – 3) = 0
y = 3, 3
x > y
S6. Ans.(e)
Sol.
- x² + 2x – 24 = 0
x² + 6x – 4x – 24 = 0
x (x + 6 ) – 4 (x + 6) = 0
(x + 6) (x – 4) = 0
x = –6, 4
II. y² + 13y + 40 = 0
y² + 8y + 5y + 40 = 0
y (y + 8) + 5 (y + 8) = 0
(y + 5) (y + 8) = 0
y = – 5, –8
No relation can be established between x and y
S7. Ans.(b)
Sol.
x² + 32 – 12x = 0
x² – 8x – 4x + 32 = 0
x ( x – 8) – 4 (x – 8) = 0
(x – 8) (x – 4) = 0
x = 8, 4
2y² – 15y + 28 = 0
2y² – 8y – 7y + 28 = 0
(y – 4) (2y – 7) = 0
y = 4,
x ≥ y
S8. Ans.(b)
Sol.
- √X – 4 = 2
⇒ x – 4 = 4
⇒ x = 8
II. (y – 5)2 = 9
(y – 5) = ± 3
⇒ y = 8, 2
x ≥ y
S9. Ans.(b)
Sol.
- 2 x+ 2 x 6 3x – 6 = 27 x – 2 x 256
2 x + 2 x 3 3x – 6 x 23x – 6 = 33x -6 x 28
= 2 x+ 2+3x -6 = 28
⇒ 4x – 4 = 8
⇒ x = 12/4 = 3
II. 3y2 – 14 y + 15 =0
3y² – 5y – 9y + 15 = 0
y (3y – 5) – 3 (3y – 5) = 0
(y – 3) (3y – 5) = 0
y = 3, 5/3
x ≥ y
S10. Ans.(d)
Sol.
- x² – 6x + 8 = 0
x² – 4x – 2x + 8 = 0
x (x – 4) – 2 (x – 4) = 0
(x – 2) (x – 4) = 0
x = 2, 4
II. 2x² – 17y + 36 = 0
2y² – 8y – 9y + 36 = 0
2y (y – 4) – 9 (y – 4) =0
(2y – 9) (y – 4) = 0
y = 9/2 , 4
y ≥ x
మరింత చదవండి:
తాజా ఉదà±à°¯à±‹à°— à°ªà±à°°à°•టనలà±Â | ఇకà±à°•à°¡ à°•à±à°²à°¿à°•ౠచేయండి |
ఉచిత à°¸à±à°Ÿà°¡à±€ మెటీరియలౠ(APPSC, TSPSC) | ఇకà±à°•à°¡ à°•à±à°²à°¿à°•ౠచేయండి |
ఉచిత మాకౠటెసà±à°Ÿà±à°²à±Â | ఇకà±à°•à°¡ à°•à±à°²à°¿à°•ౠచేయండి |