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Question : Directions: In the following question, some parts of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select 'No Error'.
Sneha was accused for murder of her husband (1) / but the court found her (2) / not guilty and acquitted her. (3) / No Error (4)
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : The error lies in the first option as 'for' must be replaced by 'of' in the sentence because the verb 'accused' is be followed by the preposition 'of'. It is the appropriate phrase to use when someone is being charged with a crime, indicating
Question : Directions: In the following question, one statement is given followed by two conclusions I and II. You have to consider the statement to be true, even if it seems to be at variance from commonly known facts. You are to decide which of the given conclusions can be drawn from the given statement. Statement: Self-managing people control their first impulse for action and delay premature conclusions. Conclusions: I. Self-managing people do not take actions without thinking. II. Instant conclusions are taken by self-managing people.
Option 1: Only I follows
Option 2: Only II follows
Option 3: Neither I nor II follows
Option 4: Both I and II follow
Correct Answer: Only I follows
Solution : According to the given statement – Conclusion I: Self-managing people do not take action without thinking. Self-managing people regulate their thoughts and emotions. Hence, they think before making any decisions/actions. Therefore, this conclusion follows. Conclusion II: Instant conclusions are taken by self-managing people.
Question : If $x^{2}+y^{2}+z^{2}=xy+yz+zx$, then the value of $\frac{3x^{4}+7y^{4}+5z^{4}}{5x^{2}y^{2}+7y^{2}z^{2}+3z^{2}x^{2}}$ is:
Option 1: 2
Option 2: 1
Option 3: 0
Option 4: –1
Solution : Given: $x^{2}+y^{2}+z^{2}=xy+yz+zx$ ⇒ $x^{2}+y^{2}+z^{2}-xy-yz-zx=0$ ⇒ $\frac{1}{2}[(x-y)^{2}+(y-z)^{2}+(z-x)^{2}]=0$ So, $(x-y)=0$, $(y-z)=0$, $(z-x)=0$ So, $x=y=z$ Putting this value in the given condition, we have: $\frac{3x^{4}+7y^{4}+5z^{4}}{5x^{2}y^{2}+7y^{2}z^{2}+3z^{2}x^{2}}=\frac{15x^{4}}{15x^{4}}=1$ Hence, the correct answer is 1.
Question : Directions: 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 3 and those of Matrix (II) are numbered from 4 to 7. A letter from these matrices can be represented first by its row and next by its column, e.g. D can be represented by 01 and R can be represented by 44. Similarly, you have to identify the set for the word TALE.
Option 1: 64, 00, 31, 32
Option 2: 46, 13, 00, 23
Option 3: 00, 31, 64, 32
Option 4: 30, 76, 23, 32
Correct Answer: 64, 00, 31, 32
Solution : Given: TALE
Number representations of each letter – T→30, 64 A→00, 76 L→31 E→32
Let's check the options – First option: 64, 00, 31, 32 – All the letters of the word TALE can be represented through this option. Second option
Question : If $A+\frac{1}{1+\frac{1}{2+\frac{1}{3}}}=\frac{9}{10}$, then the value of A is:
Option 1: $\frac{1}{5}$
Option 2: $\frac{3}{10}$
Option 3: $\frac{2}{5}$
Option 4: $\frac{1}{10}$
Correct Answer: $\frac{1}{5}$
Solution : Given: $A+\frac{1}{1+\frac{1}{2+\frac{1}{3}}}=\frac{9}{10}$ ⇒ $A+\frac{1}{1+\frac{1}{\frac{7}{3}}}=\frac{9}{10}$ ⇒ $A+\frac{1}{1+\frac{3}{7}}=\frac{9}{10}$ ⇒ $A+\frac{1}{\frac{10}{7}}=\frac{9}{10}$ ⇒ $A+\frac{7}{10}=\frac{9}{10}$ ⇒ $A=\frac{9}{10}-\frac{7}{10}=\frac{2}{10}=\frac{1}{5}$ Hence, the correct answer is $\frac{1}{5}$.
Question : Select the most appropriate synonym of the given word. Paradise
Option 1: Bliss
Option 2: Trivial
Option 3: Display
Option 4: Ghost
Correct Answer: Bliss
Solution : The correct choice is the first option.
Paradise refers to a place or state of perfect happiness, delight, and beauty. Bliss shares a similar meaning, signifying a state of extreme happiness, joy, or contentment.
The meanings of the other options are:
Question : Directions: Select the figure from the options that can replace the question mark (?) and complete the pattern (rotation is NOT allowed).
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : On comparing the question figure and all the answer figures, the following figure will combine and make the complete pattern –
Hence, the second option is correct.
Question : The length and breadth of a rectangle are 8 cm and 6 cm, respectively. The rectangle is cut on its four vertices such that the resulting figure is a regular octagon. What is the length of the side (in cm) of the octagon?
Option 1: $3\sqrt{11}-7$
Option 2: $5\sqrt{13}-8$
Option 3: $5\sqrt{7}-11$
Option 4: $6\sqrt{11}-9$
Correct Answer: $3\sqrt{11}-7$
Solution : Given: The length and breadth of a rectangle are 8 cm and 6 cm, respectively. The rectangle is cut on its four vertices such that the resulting figure is a regular octagon. Let the sides of the octagon be $a$ cm. From the figure, we
Question : Directions: Select the option figure in which the given figure (X) is embedded as its part (rotation is NOT allowed).
Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of all the option figures, the given question figure is embedded only in the fourth option figure.
Hence, the fourth option is correct.
Question : In the sentence, identify the segment that contains the grammatical error.
The accused were finally charged and justice was meted on to the victim.
Option 1: The accused were
Option 2: finally charged and
Option 3: to the victim
Option 4: justice was meted on
Correct Answer: justice was meted on
Solution : The error lies in the fourth option.
The sentence contains the incorrect phrasal verb "meted on", which should be replaced with meted out to make the sentence grammatically accurate. It means to distribute or administer something, such as justice, punishment, etc.
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