The slope of line passing through (1,2) and (3,6) is:
A. 1
B. 2
C. 3
D. 4
Correct Answer: B m = (6-2)/(3-1) = 4/2 = 2.
Q2. Mathematics
The sum of angles in a triangle is:
A. 90 degrees
B. 180 degrees
C. 180 degrees
D. 360 degrees
Correct Answer: C Sum of interior angles of a triangle = 180 degrees .
Q3. Physics
A lens has a focal length of 10 cm. If an object is placed 20 cm from the lens, what is the image distance?
A. 10 cm
B. 20 cm
C. -10 cm
D. -20 cm
Correct Answer: C Using the lens equation 1/f = 1/do + 1/di, where f is the focal length, do is the object distance, and di is the image distance, we can find the image distance. For the given values, 1/10 = 1/20 + 1/di, which gives 1/di = 1/10 - 1/20 = 1/20. Therefore, di = -20 cm.
Q4. Physics
Young's modulus is defined for which type of deformation?
A. Shear
B. Longitudinal strain
C. Volume strain
D. Torsion
Correct Answer: B Y = stress/strain for longitudinal (tensile/compressive) deformation.
Q5. Mathematics
The value of 5! is:
A. 60
B. 100
C. 120
D. 24
Correct Answer: C 5! = 5x4x3x2x1 = 120.
Q6. Chemistry
What is the type of hybridization of the central atom in the molecule CO2?
A. sp
B. sp2
C. sp3
D. dsp2
Correct Answer: A The central atom in CO2 is carbon, which is bonded to two oxygen atoms. Since carbon has two equivalent bonds and no lone pairs, its hybridization is sp.
Q7. Physics
A ball dropped from height h hits the ground with speed v. The value of v is proportional to:
A. h
B. sqrth
C. h^2
D. 1/h
Correct Answer: B v = sqrt(2gh) -> v sqrth.
Q8. Chemistry
Atomic number of oxygen is:
A. 6
B. 7
C. 8
D. 16
Correct Answer: C Oxygen has atomic number 8 (configuration 1s^22s^22p).
Q9. Mathematics
If the probability of an event A is 0.4 and of B is 0.5, and A and B are independent, then P(A B) is:
A. 0.9
B. 0.1
C. 0.2
D. 0.02
Correct Answer: C For independent events: P(A B) = P(A).P(B) = 0.4 x 0.5 = 0.2.
Q10. Chemistry
Which bond has the highest bond energy?
A. C-C
B. C=C
C. CC
D. All equal
Correct Answer: C Triple bond (CC) has highest bond energy - 839 kJ/mol vs 614 for double, 348 for single.
Q11. Chemistry
What is the type of bond formed between two atoms of the same element, such as in the molecule O2?
A. Ionic bond
B. Covalent bond
C. Hydrogen bond
D. Van der Waals bond
Correct Answer: B The bond formed between two atoms of the same element, such as in the molecule O2, is a covalent bond. This is because the two oxygen atoms share electrons to form a bond.
Q12. Chemistry
Which of the following elements is liquid at room temperature?
A. Sodium
B. Mercury
C. Gold
D. Silver
Correct Answer: B Mercury (Hg) and bromine (Br) are the only elements liquid at room temp.
Q13. Chemistry
The coordination number in NaCl crystal structure is:
A. 4
B. 6
C. 8
D. 12
Correct Answer: B NaCl has face-centered cubic (FCC) structure with each Na surrounded by 6 Cl and vice versa.
Q14. Mathematics
If sin A = 1/2, then the value of A (acute) is:
A. 30 degrees
B. 30 degrees
C. 60 degrees
D. 90 degrees
Correct Answer: B sin 30 degrees = 1/2.
Q15. Mathematics
Which of these is a perfect square?
A. 20
B. 24
C. 36
D. 48
Correct Answer: C 36 = 6^2. Others are not perfect squares.