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TS TET Mathematics 9 Jan 2025 Shift 1 Solved Paper

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111) If $\sqrt{x} = 28$ , then $\sqrt{\frac{25x}{49}} =$
$\sqrt{x} = 28$ , అయితే $\sqrt{\frac{25x}{49}} =$

A) 20√7
B) 57
C) 20
D) 14

View Answer

C) 20

Explanation:Given:√x = 28
Squaring both sides:
x = 28² = 784
Now, √(25x / 49)
= √(25 × 784 / 49)
Since 784 ÷ 49 = 16,
= √(25 × 16)
= √400
= 20
So, the correct answer is 20.

112) Which of the following is NOT twin primes?
క్రింది వానిలో కవల ప్రధాన సంఖ్యలు కానివి ఏవి?

A) 41, 43
B) 29, 31
C) 87,89
D) 101, 103

View Answer

C) 87,89

Explanation:Twin primes are two prime numbers whose difference is 2.
Checking the given pairs:
41, 43 → both primes ✔
29, 31 → both primes ✔
87, 89 → 87 is not a prime ❌
101, 103 → both primes ✔
So, the pair which is NOT twin primes is 87, 89.

113) Write the following numbers in ascending order
క్రింది సంఖ్యలను ఆరోహణ క్రమంలో రాయండి
9.0901, 9.9001, 9.0991, 0.9991, 9.9991

A) 0.9991, 9.0991, 9.0901, 9.9001, 9.9991
B) 0.9991, 9.0901, 9.0991, 9.9001, 9.9991
C) 9.9991, 9.0901, 9.0991, 9.9001, 0.9991
D) 9.9001, 0.9991, 9.0901, 9.0991, 9.9991

View Answer

B) 0.9991, 9.0901, 9.0991, 9.9001, 9.9991

Explanation:Given numbers:
9.0901, 9.9001, 9.0991, 0.9991, 9.9991
Arranging in ascending order:
0.9991
9.0901
9.0991
9.9001
9.9991
This matches option 2.

114) $957^2 - 643^2$ =

A) 502400
B) 98596
C) 522400
D) 198596

View Answer

A) 502400

Explanation:Using the identity:
a² − b² = (a − b)(a + b)
Given: 957² − 643²
= (957 − 643)(957 + 643)
= 314 × 1600
= 502400

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