TS TET Mathematics 8 Jan 2025 Shift 1 Solved Paper

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106) The runs scored in a cricket match by 11 players is 60, 15, 120, 50, 48, 4, 56, 100, 80, 8, 15. The median of this data is
ఒక క్రికెట్ మ్యాచ్లో 11 మంది ఆటగాళ్లు సాధించిన పరుగులు 60, 15, 120, 50, 48, 4, 56, 100, 80, 8, 15. ఈ దత్తాంశ మధ్యగతం

A) 4
B) 48
C) 50
D) 15

View Answer

C) 50

Explanation:To find the median of the runs scored:
Data: 60, 15, 120, 50, 48, 4, 56, 100, 80, 8, 15
Step 1: Arrange in ascending order:
4, 8, 15, 15, 48, 50, 56, 60, 80, 100, 120
Step 2: Since there are $n = 11$ players (odd number), median is the middle value, which is the $\frac{n+1}{2} = \frac{12}{2} = 6$ th term in ascending order.
Step 3: The 6th term in the sorted list is $50$ .
Thus, median = $50$ .
$\boxed{50}$

107) Which result of the following will give a whole number?
కింది వాటిలో దేని ఫలితం పూర్ణాంకం అవుతుంది?

A) $\frac{15}{16} - \frac{3}{4}$
B) $\frac{2}{5} \div 1$
C) $\frac{11}{12} + \left( \frac{1}{2} \times \frac{5}{6} \right)$
D) $\frac{15}{17} \times (2^{0} - 1)$

View Answer

D) $\frac{15}{17} \times (2^{0} - 1)$

Explanation:Evaluate each option:
1) $\frac{15}{16} - \frac{3}{4} = \frac{15}{16} - \frac{12}{16} = \frac{3}{16}$ (not whole)
2) $\frac{2}{5} \div 1 = \frac{2}{5}$ (not whole)
3) $\frac{11}{12} + \left( \frac{1}{2} \times \frac{5}{6} \right) = \frac{11}{12} + \frac{5}{12} = \frac{16}{12} = \frac{4}{3}$ (not whole)
4) $\frac{15}{17} \times (2^{0} - 1) = \frac{15}{17} \times (1 - 1) = \frac{15}{17} \times 0 = 0$ (whole number)

108) If the radius and height of cylinder are r and h respectively, then volume of the cylinder (in cubic units) is
స్థూపం యొక్క వ్యాసార్థం మరియు ఎత్తులు వరుసగా r మరియు h అయితే, ఆ స్థూపం యొక్క ఘనపరిమాణం (ఘ. యూనిట్లలో)

A) $\pi r^{2} h$
B) $\pi r^{2}h^{2}$
C) $\frac{1}{2}\,\pi r^{2} h$
D) $\frac{1}{3}\,\pi r^{2} h$

View Answer

A) $\pi r^{2} h$

Explanation:Volume of a cylinder
= Base area × Height
= $\pi r^{2} h$

109) If a number is multiplied by 8 and subtracted 16 from the product gives six times the number itself. Then the number is
ఒక సంఖ్యను 8తో గుణించగా వచ్చిన ఫలితం నుండి 16ను తీసివేస్తే, ఆ సంఖ్యకు ఆరు రెట్లు వస్తుంది. అయితే, ఆ సంఖ్య

A) 9
B) 8
C) 6
D) 7

View Answer

B) 8

Explanation:Let’s solve step-by-step.
Let the number be $x$ .
Step 1: Multiply by 8: $8x$
Subtract 16 from the product: $8x - 16$
Step 2: This gives six times the number itself:
8x – 16 = 6x
Step 3: Solve for x:
8x – 6x = 16
2x = 16
x = 8
Step 4: Check:
$8 \times 8 = 64$
$64 - 16 = 48$
$6 \times 8 = 48$ ✅
$\boxed{8}$

110) If the supplementary angle of an angle is equal to itself, then the angle is
ఒక కోణం యొక్క సంపూరక కోణం దానితో సమానంగా ఉంటే, ఆ కోణం

A) acute angle
అల్ప కోణం
B) straight angle
సరళ కోణం
C) 3.obtuse angle
అధిక కోణం
D) right angle
లంబ కోణం

View Answer

D) right angle

Explanation:Supplementary angles sum to 180°.
Let angle = x
Supplementary angle = $180 - x$
Given:
$180 - x = x$
$2x = 180 \Rightarrow x = 90°$
90° is a right angle.

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