Q. Which of the following pairs of elements are lanthanides?
-
A.
Ce and La
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B.
Ti and V
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C.
Fe and Co
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D.
Cu and Zn
Solution
Cerium (Ce) and Lanthanum (La) are both lanthanides, which are f-block elements.
Correct Answer: A — Ce and La
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Q. Which of the following pairs of equations represents parallel lines?
-
A.
2x + 3y = 6 and 4x + 6y = 12
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B.
x - y = 1 and x + y = 1
-
C.
3x + 2y = 5 and 3x - 2y = 5
-
D.
x + 2y = 3 and 2x + 4y = 6
Solution
The first pair has the same slope (2/3) and thus represents parallel lines.
Correct Answer: A — 2x + 3y = 6 and 4x + 6y = 12
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Q. Which of the following pairs of linear equations has no solution?
-
A.
x + y = 2 and x + y = 4
-
B.
2x - y = 1 and 4x - 2y = 2
-
C.
3x + 2y = 6 and 6x + 4y = 12
-
D.
x - 2y = 3 and 2x - 4y = 6
Solution
The first pair represents parallel lines, which means they will never intersect, hence no solution.
Correct Answer: A — x + y = 2 and x + y = 4
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Q. Which of the following pairs of molecules has the same bond order?
-
A.
N2 and CO
-
B.
O2 and F2
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C.
C2 and B2
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D.
He2 and Ne2
Solution
N2 and CO both have a bond order of 3.
Correct Answer: A — N2 and CO
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Q. Which of the following pairs of numbers are congruent modulo 6?
-
A.
8 and 14
-
B.
10 and 16
-
C.
12 and 18
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D.
All of the above
Solution
All pairs have the same remainder when divided by 6: 8 mod 6 = 2, 14 mod 6 = 2; 10 mod 6 = 4, 16 mod 6 = 4; 12 mod 6 = 0, 18 mod 6 = 0.
Correct Answer: D — All of the above
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Q. Which of the following pairs of numbers has a least common multiple (LCM) of 36?
-
A.
6 and 12
-
B.
4 and 9
-
C.
3 and 18
-
D.
2 and 18
Solution
The LCM of 4 and 9 is 36.
Correct Answer: B — 4 and 9
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Q. Which of the following pairs of numbers has an HCF of 1? (2023)
-
A.
8 and 12
-
B.
15 and 28
-
C.
9 and 27
-
D.
14 and 21
Solution
The HCF of 15 and 28 is 1, making them coprime.
Correct Answer: B — 15 and 28
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Q. Which of the following pairs of numbers has an HCF of 6? (2023)
-
A.
12 and 18
-
B.
15 and 25
-
C.
10 and 20
-
D.
8 and 16
Solution
The HCF of 12 and 18 is 6, as both numbers are divisible by 6, while the other pairs have higher HCFs.
Correct Answer: A — 12 and 18
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Q. Which of the following pairs of numbers has the greatest common factor (GCF) of 1?
-
A.
8 and 12
-
B.
15 and 28
-
C.
9 and 27
-
D.
14 and 21
Solution
The GCF of 15 and 28 is 1, making them coprime, while the other pairs share common factors.
Correct Answer: B — 15 and 28
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Q. Which of the following particles has a negative charge?
-
A.
Proton
-
B.
Neutron
-
C.
Electron
-
D.
Positron
Solution
The electron is the only particle listed that has a negative charge.
Correct Answer: C — Electron
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Q. Which of the following particles has the least mass?
-
A.
Proton
-
B.
Neutron
-
C.
Electron
-
D.
Alpha particle
Solution
The electron has the least mass compared to protons and neutrons.
Correct Answer: C — Electron
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Q. Which of the following particles has the least mass? (2020) 2020
-
A.
Proton
-
B.
Neutron
-
C.
Electron
-
D.
Alpha particle
Solution
The mass of an electron is significantly less than that of protons and neutrons.
Correct Answer: C — Electron
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Q. Which of the following particles has the least mass? (2021) 2021
-
A.
Proton
-
B.
Neutron
-
C.
Electron
-
D.
Alpha particle
Solution
The electron has the least mass compared to protons and neutrons.
Correct Answer: C — Electron
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Q. Which of the following particles has the smallest mass?
-
A.
Proton
-
B.
Neutron
-
C.
Electron
-
D.
Alpha particle
Solution
Among the given particles, the electron has the smallest mass, approximately 1/1836 of a proton.
Correct Answer: C — Electron
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Q. Which of the following particles is emitted during beta decay?
-
A.
Alpha particle
-
B.
Beta particle
-
C.
Gamma ray
-
D.
Neutron
Solution
Beta decay involves the emission of beta particles, which are electrons or positrons.
Correct Answer: B — Beta particle
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Q. Which of the following particles is not a baryon?
-
A.
Proton
-
B.
Neutron
-
C.
Pion
-
D.
Lambda particle
Solution
Pions are mesons, not baryons. Baryons are particles made up of three quarks, while mesons are made up of a quark and an antiquark.
Correct Answer: C — Pion
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Q. Which of the following particles is not a constituent of the nucleus?
-
A.
Proton
-
B.
Neutron
-
C.
Electron
-
D.
Alpha particle
Solution
Electrons are not constituents of the nucleus; they orbit around the nucleus, while protons and neutrons are found within it.
Correct Answer: C — Electron
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Q. Which of the following particles is not a nucleon?
-
A.
Proton
-
B.
Neutron
-
C.
Electron
-
D.
Alpha particle
Solution
An electron is not a nucleon; nucleons are particles found in the nucleus, which include protons and neutrons.
Correct Answer: C — Electron
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Q. Which of the following particles is not found in the nucleus of an atom?
-
A.
Proton
-
B.
Neutron
-
C.
Electron
-
D.
Alpha particle
Solution
Electrons are not found in the nucleus; they orbit around the nucleus, while protons and neutrons are the constituents of the nucleus.
Correct Answer: C — Electron
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Q. Which of the following particles is not found in the nucleus?
-
A.
Proton
-
B.
Neutron
-
C.
Electron
-
D.
Alpha particle
Solution
Electrons are not found in the nucleus; they orbit around it.
Correct Answer: C — Electron
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Q. Which of the following personalities is associated with the introduction of the 'Doctrine of Lapse' in British India?
-
A.
Lord Dalhousie
-
B.
Lord Wellesley
-
C.
Lord Cornwallis
-
D.
Lord Canning
Solution
Lord Dalhousie introduced the Doctrine of Lapse, which allowed the British to annex any princely state if the ruler died without a male heir.
Correct Answer: A — Lord Dalhousie
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Q. Which of the following personalities is known for the establishment of the Maurya Empire in ancient India?
-
A.
Ashoka
-
B.
Chandragupta Maurya
-
C.
Bindusara
-
D.
Harshavardhana
Solution
Chandragupta Maurya founded the Maurya Empire in 322 BCE, marking the beginning of a significant era in Indian history.
Correct Answer: B — Chandragupta Maurya
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Q. Which of the following phenomena can be explained by the wave nature of light?
-
A.
Photoelectric effect
-
B.
Compton effect
-
C.
Interference
-
D.
Electron diffraction
Solution
Interference is a phenomenon that can be explained by the wave nature of light, as it involves the superposition of light waves.
Correct Answer: C — Interference
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Q. Which of the following phenomena demonstrates the wave-particle duality of light?
-
A.
Photoelectric effect
-
B.
Compton effect
-
C.
Diffraction
-
D.
All of the above
Solution
All of the mentioned phenomena (photoelectric effect, Compton effect, and diffraction) demonstrate the wave-particle duality of light.
Correct Answer: D — All of the above
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Q. Which of the following phenomena is a direct result of diffraction?
-
A.
Interference
-
B.
Polarization
-
C.
Refraction
-
D.
Reflection
Solution
Diffraction is a phenomenon that leads to interference patterns, as it involves the bending of waves around obstacles.
Correct Answer: A — Interference
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Q. Which of the following phenomena is an example of surface tension?
-
A.
Water droplets on a leaf
-
B.
Air bubbles in water
-
C.
Oil mixing with water
-
D.
Salt dissolving in water
Solution
Water droplets on a leaf demonstrate surface tension, as the cohesive forces between water molecules create a 'skin' on the surface.
Correct Answer: A — Water droplets on a leaf
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Q. Which of the following phenomena is explained by the concept of surface tension?
-
A.
Capillary action
-
B.
Viscosity
-
C.
Buoyancy
-
D.
Elasticity
Solution
Surface tension is responsible for capillary action, allowing liquids to rise in narrow tubes.
Correct Answer: A — Capillary action
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Q. Which of the following phenomena is explained by the concept of viscosity?
-
A.
Capillary action
-
B.
Buoyancy
-
C.
Fluid flow resistance
-
D.
Surface tension
Solution
Viscosity describes the resistance of a fluid to flow, which is a key factor in fluid flow resistance.
Correct Answer: C — Fluid flow resistance
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Q. Which of the following phenomena is NOT a characteristic of wave motion?
-
A.
Reflection
-
B.
Refraction
-
C.
Diffraction
-
D.
Conduction
Solution
Conduction is a mode of heat transfer and is not a characteristic of wave motion, while reflection, refraction, and diffraction are.
Correct Answer: D — Conduction
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Q. Which of the following phenomena is NOT a characteristic of waves?
-
A.
Interference
-
B.
Diffraction
-
C.
Reflection
-
D.
Conduction
Solution
Conduction is a process of heat transfer and is not a characteristic of wave phenomena.
Correct Answer: D — Conduction
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