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Question : Directions: Select the option that is correct for the bracketed numbers with respect to their inclusion in the given series. 4, 11, 30, (67), 128, 219, (346), 515
Option 1: The first bracketed number is incorrect and the second bracketed number is correct
Option 2: Both the bracketed numbers are correct
Option 3: Both the bracketed numbers are incorrect
Option 4: The first bracketed number is correct and the second bracketed number is incorrect
Correct Answer: Both the bracketed numbers are correct
Solution : Given: 4, 11, 30, (67), 128, 219, (346), 515;
The pattern is as follows – (1)3 + 3 = 1 + 3 = 4 (2)3 + 3 = 8 + 3 = 11 (3)3 + 3 =
Question : Under which pardoning power of the President, the duration of the sentence is reduced without changing its character?
Option 1: Commutation
Option 2: Remission
Option 3: Respite
Option 4: Reprieve
Correct Answer: Remission
Solution : The correct answer is Remission.
Remission has the effect of lessening the severity of the punishment without changing its nature. The severe punishment of two years, for instance, could be reduced to the severe punishment of one year. The President has the authority to pardon,
Question : The average run rate of a cricket team during the first 20 overs is 4.5. What should be the asking rate per over for the next 30 overs, if it has to chase a target of 282 runs in total?
Option 1: 6.3
Option 2: 6.0
Option 3: 6.4
Option 4: 6.8
Correct Answer: 6.4
Solution : Total runs required in 50 overs = 282 Average of runs in 20 overs = 4.5 ⇒ Total runs scored in first 20 overs = 4.5 × 20 = 90 So, runs needed in the remaining 30 overs = 282 – 90 = 192 $\therefore$
Question : Which among the following is responsible for the rotation of the plane of oscillation of Foucault's pendulum?
Option 1: Centripetal force
Option 2: Viscous drag of air
Option 3: Centrifugal force
Option 4: Coriolis force
Correct Answer: Coriolis force
Solution : The correct answer is Coriolis force.
Coriolis force is responsible for the rotation of the plane of oscillation of Foucault’s pendulum. It is an experiment which was demonstrated in 1851 by a French scientist J. B. Leon Foucault. Coriolis force is due to the
Question : Directions: From the given alternative words, select the word that cannot be formed using the letters of the given word. PRONOUNCEMENT
Option 1: MOUNT
Option 2: CEMENT
Option 3: PAVEMENT
Option 4: NOUN
Correct Answer: PAVEMENT
Solution : Given: PRONOUNCEMENT
Now, let's compare all the option words with the word PRONOUNCEMENT – First option: MOUNT; All the letters of MOUNT are present in the word PRONOUNCEMENT. Second option: CEMENT; All the letters of CEMENT are present in the word PRONOUNCEMENT. Third option: PAVEMENT;
Question : Rearrange the parts of the sentence in the correct order.
P. we found that thyroid hormones regulate white bar formation Q. sea anemone species in which the young fish is recruited R. and that a shift in hormone levels, associated with ecological S. differences result in divergent colour patterns in different
Option 1: SQPR
Option 2: RSQP
Option 3: PRSQ
Option 4: PQRS
Correct Answer: PRSQ
Solution : The correct choice is the third option.
Explanation: Initially, the focus is on the direct influence of thyroid hormones (P), followed by an exploration of the relationship between hormone levels and ecological factors (R). This leads to an understanding of how diverse colour patterns
Question : Directions: In a certain code language, VERBAL is written as KZAQDU. How is CURIOUS written in that code language?
Option 1: RTHNQTB
Option 2: BTQHNTR
Option 3: RTNHQTB
Option 4: RTNHQTA
Correct Answer: RTNHQTB
Solution : Given: VERBAL is written as KZAQDU.
On reversing the letters of VERBAL, we get→LABREV Subtracting 1 from the place value of the reversed letters, we get – L – 1 = K; A – 1 = Z; B – 1 = A; R – 1
Question : Select the most appropriate synonym of the underlined word.
During the summer of 1893, Miss. Sullivan and I visited the World's Fair with Dr. Alexander Graham Bell. I recall with unmixed delight those days when a thousand childish fancies became beautiful realities.
Option 1: enchant
Option 2: dismay
Option 3: memory
Option 4: emotion
Correct Answer: enchant
Solution : The correct choice is the first option.
Enchant means to fill with great pleasure. In the sentence, the speaker is recalling days filled with joy, which aligns with the meaning of delight.
The meanings of the other options are as follows:
Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation. 7 * 5 * 4 * 2 * 3 * 7
Option 1: ÷, –, +, ×, =
Option 2: +, –, ÷, –, =
Option 3: ÷, +, ÷, +, =
Option 4: –, ÷, +, ×, =
Correct Answer: +, –, ÷, –, =
Solution : Given: 7 * 5 * 4 * 2 * 3 * 7
Let's check the given options – First option: ÷, –, +, ×, = ⇒ 7 ÷ 5 – 4 + 2 × 3 = 7 Solving the L.H.S. of
Question : If $(x+\frac{1}{x})$ = 5, then the value of $\frac{5x}{x^{2}+5x+1}$ is:
Option 1: $\frac{1}{3}$
Option 2: $\frac{1}{4}$
Option 3: $\frac{1}{2}$
Option 4: $\frac{1}{5}$
Correct Answer: $\frac{1}{2}$
Solution : Given: $(x+\frac{1}{x})$ = 5 ⇒ $x^2+1= 5x$ Now, $\frac{5x}{x^{2}+5x+1}$ = $\frac{5x}{x^{2}+1+5x}$ = $\frac{5x}{5x+5x}$ = $\frac{5x}{10x}$ = $\frac{1}{2}$ Hence, the correct answer is $\frac{1}{2}$.
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