A ball is thrown vertically upward with a speed of 49 m/s. How long will it take to return to the thrower's hand?

• (A) 5 s
• (B) 7 s
• (C) 10 s
• (D) 14 s

The escape velocity from the surface of a planet is \(v_e\). What will be the escape velocity from a planet whose mass and radius are twice that of the original planet?

• (A) \(v_e\)
• (B) \(2v_e\)
• (C) \(\sqrt{2}v_e\)
• (D) \(4v_e\)

Which of the following compounds will give a positive Iodoform test?

• (A) Ethanol
• (B) Propanol
• (C) Methanol
• (D) Methanal

Which of the following is not a colligative property?

• (A) Osmotic pressure
• (B) Depression of freezing point
• (C) Elevation of boiling point
• (D) Refractive Index

If the roots of the quadratic equation \(ax^2 + bx + c = 0\) are real and equal, then:

• (A) \(b^2 - 4ac < 0\)
• (B) \(b^2 - 4ac = 0\)
• (C) \(b^2 - 4ac > 0\)
• (D) \(a + b + c = 0\)

Let \( A = \begin{bmatrix} 2 & 0
0 & 3 \end{bmatrix} \). The determinant of \(A^3\) is:

• (A) 216
• (B) 27
• (C) 8
• (D) 1

Choose the correct word to complete the sentence: "She was so tired that she could ...... keep her eyes open."

• (A) hardly
• (B) hard
• (C) barely
• (D) clearly

Statement: All flowers are beautiful. Some beautiful things are fragile. Conclusion I: Some flowers are fragile. Conclusion II: All beautiful things are flowers.

• (A) Only I follows
• (B) Only II follows
• (C) Both follow
• (D) Neither follows

Which number comes next in the series? 3, 6, 11, 18, 27, ?

• (A) 36
• (B) 38
• (C) 40
• (D) 48