B.Sc.
Question : Directions: Select the option figure in which the given figure is embedded (rotation is NOT allowed).
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of the question figure with all the option figures, it is evident that the given question figure is embedded only in the fourth option figure.
Hence,
Question : ________________ goods are purchased for capital formation or investment.
Option 1: Intermediate goods
Option 2: Final goods
Option 3: Consumer goods
Option 4: Both (b) and (c)
Correct Answer: Both (b) and (c)
Solution :
Question : Directions: Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number. 12 : 33 :: 31 : 71 :: 79 : ?
Option 1: 167
Option 2: 179
Option 3: 138
Option 4: 182
Correct Answer: 167
Solution : Given: 12 : 33 :: 31 : 71 :: 79 : ?
Multiply the first number by 2 and add 9 in the resultant, to obtain the second number – Like in, 12 : 33 → (12 × 2) + 9 = 33 And in,
Question : Which element of group 13 has the atomic number 113, and its electronic configuration is [Rn] 5f14 6d107s2 7p1?
Option 1: Gallium
Option 2: Indium
Option 3: Nihonium
Option 4: Thallium
Correct Answer: Nihonium
Solution : The correct answer is Nihonium.
The shell structure of Nihonium atoms is 2.8.18.32.32.18.3, and they contain 113 electrons. Neutral Nihonium has the electrical configuration [Rn] in its ground state.
Nihonium's term symbol is 2P1/2, and its electronic structure is estimated to be [Rn] 5f14
Question : Simplify the expression: $\frac{3-\operatorname{\sin}^2 A+\operatorname{\cos}^2 A}{2+2 \operatorname{\cos}^2 A}$
Option 1: 1
Option 2: 0
Option 3: –1
Option 4: 2
Correct Answer: 1
Solution : $\frac{3-\operatorname{\sin}^2 A+\operatorname{\cos}^2 A}{2+2 \operatorname{\cos}^2 A}$ $=\frac{1-\operatorname{\sin}^2 A+2+\operatorname{\cos}^2 A}{2+2 \operatorname{\cos}^2 A}$ $=\frac{\operatorname{\cos}^2 A+2+\operatorname{\cos}^2 A}{2+2 \operatorname{\cos}^2 A}$ [$\because\cos^2 A=1-\sin^2 A$] $=\frac{2+2\operatorname{\cos}^2 A}{2+2 \operatorname{\cos}^2 A}$ $=1$ Hence, the correct answer is 1.
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