B.Sc.
Question : ΔABC and ΔDEF are congruent respectively. If AB = 6 = DE, BC = 8 = EF and $\angle$B = 30°, then $\angle$D + $\angle$C _________.
Option 1: 160°
Option 2: 120°
Option 3: 130°
Option 4: 150°
Correct Answer: 150°
Solution : Given, that $\triangle$ABC and $\triangle$DEF are congruent. AB = 6 = DE, BC = 8 = EF, and $\angle$B = 30° Since, $\triangle$ABC $\cong$ $\triangle$DEF ⇒ $\angle$A = $\angle$D By angle sum property in $\triangle$ABC, $\angle$A + $\angle$B + $\angle$C = 180° ⇒ $\angle$D +
Question : Case Study 72: Innovate Tech
Effective delegation can lead to:
Option 1: Limited employee empowerment
Option 2: Simplified communication
Option 3: Improved efficiency and employee development
Option 4: Excessive centralization
Correct Answer: Improved efficiency and employee development
Solution : The correct answer is (c) Improved efficiency and employee development
When delegation is done effectively, it can result in improved efficiency by allowing tasks to be handled by individuals with the appropriate skills and expertise. Additionally, effective delegation can promote employee
Question : Article 370 of the Indian Constitution upholds
Option 1: land reform legislation in India
Option 2: diplomatic privileges and immunities
Option 3: special status of Jammu and Kashmir State
Option 4: duties and rights of Lokpal
Correct Answer: special status of Jammu and Kashmir State
Solution : The correct answer is the special status of Jammu and Kashmir State.
It allowed Jammu and Kashmir to have its constitution, flag, and legislative authority. The Indian constitution's "Temporary, Transitional and Special Provisions" Part XXI contains Article 370. It
Question : Direction: In this question, a word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in the two matrices, given below. The columns and rows of Matrix (I) are numbered from 0 to 4 and that of Matrix (II) are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g. G can be represented by 04,40, etc. and K can be represented by 56, 75, etc. Similarly, you have to identify the set for the word NICE.
Option 1: 66, 58, 33, 02
Option 2: 87, 65, 03, 24
Option 3: 66, 23, 68, 30
Option 4: 59, 68, 40, 02
Correct Answer: 66, 58, 33, 02
Solution : Given – NICE
Option first: 66, 58, 33, 02
NICE.
The first set represents the word NICE.
Option second: 87, 65, 03, 24
NIFC
Option third: 66, 23, 68, 30
NGKO
Option fourth: 59, 68, 40, 02
NKGE
Hence, first option is
Question : The area of the parallelogram whose length is 30 cm, width is 20 cm and one diagonal is 40 cm is:
Option 1: $200\sqrt{15}\text{ cm}^{2}$
Option 2: $100\sqrt{15}\text{ cm}^{2}$
Option 3: $300\sqrt{15}\text{ cm}^{2}$
Option 4: $150\sqrt{15}\text{ cm}^{2}$
Correct Answer: $150\sqrt{15}\text{ cm}^{2}$
Solution : In $\triangle$ ABD, AB = 20 cm. AD = 30 cm. BD = 40 cm Semi perimeter (s) = $\frac{a+b+c}{2}$ = $\frac{20+30+40}{2}$ = 45 cm Now, the area of $\triangle$ABD = $\sqrt{s(s - a)(s - b)(s - c)}$ = $\sqrt{45(45 - 20)(45 - 30)(45
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