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Question : Parts of the following sentence are given as options. Identify the segment that contains a grammatical error.
Walking on the road a rickshaw hit him.
Option 1: on the road
Option 2: hit him
Option 3: Walking
Option 4: a rickshaw
Correct Answer: Walking
Solution : The correct choice is the third option.
Explanation: The error lies in the lack of a connecting word or phrase to show the relationship between the two actions. The sentence structure implies a connection between "walking on the road" and "a rickshaw hit him"
Question : The value of $\tan315°.\cot(-405°)$, is equal to:
Option 1: –1
Option 2: 1
Option 3: 0
Option 4: 2
Correct Answer: 1
Solution : Given: $\tan315° \cot(-405°)$ Formula Used: $\cot(-\theta) = -\cot \theta$ Calculation: $\tan315° \cot(-405°)$ $=-\tan315° \cot(405°)$ $=-\tan(360°-45°) \cot(360°+45°)$ $=-(-\tan 45°)(\cot 45°)$ $=1 \times 1$ $=1$ Hence, the correct answer is 1.
Question : Given below are four sentences in jumbled order. Pick the option that gives their correct order.
A. He had lost his leg in an accident five years back. B. With that accident his dream of becoming the next Carl Lewis had been shattered forever. C. In place of his left leg was a wooden stump. D. Vikas sat up and removed the bed sheet that was covering his leg.
Option 1: CDAB
Option 2: BCAD
Option 3: ACDB
Option 4: DCAB
Correct Answer: DCAB
Solution : The correct choice is the fourth option: DCAB.
The logical flow of sentences is:
Question : Directions: Select the option that is related to the third letter cluster in the same way as the second letter cluster is related to the first letter cluster. SB : VY :: GN : ?
Option 1: JL
Option 2: DR
Option 3: JK
Option 4: DQ
Correct Answer: JK
Solution : Given: SB : VY :: GN : ?
Add and subtract 3 alternatively from the place value of the letters of SB to get the related letter cluster. S + 3 = V; B – 3 = Y So, SB is related to VY. Similarly,
Question : The speed of a boat in still water is 44 km/hr and the speed of a stream is 26 km/hr. Find the upstream speed of the boat.
Option 1: 12 km/hr
Option 2: 18 km/hr
Option 3: 13 km/hr
Option 4: 14 km/hr
Correct Answer: 18 km/hr
Solution : The speed of a boat in still water is 44 km/hr and the speed of a stream is 26 km/hr. Upstream speed of a boat = Boat's speed in still water – Speed of the stream = 44 – 26 = 18 km/hr Hence,
Question : If $\triangle ABC$ is right-angled at B, AB = 30 units and $\angle ACB=60°$, what is the value of AC?
Option 1: $20$ units
Option 2: $20\sqrt3$ units
Option 3: $40$ units
Option 4: $60$ units
Correct Answer: $20\sqrt3$ units
Solution : $\triangle ABC$ is right-angled at B. $\sin\theta$ = $\frac{\text{Perpendicular}}{\text{Hypotenuse}}$ ⇒ $\sin 60°$ = $\frac{AB}{AC}$ ⇒ $\frac{\sqrt{3}}{2} = \frac{30}{AC}$ ⇒ AC = $\frac{60}{\sqrt{3}}$ $\therefore$ AC = $20\sqrt{3}$ units Hence, the correct answer is $20\sqrt{3}$ units.
Question : Directions: Two Statements are given followed by two conclusions numbered I and II Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: All notebooks are pencils. Some pens are notebooks. Conclusions: I. All pens are pencils. II Some pencils are pens.
Option 1: Only conclusion I follows
Option 2: Both conclusions I and II follow
Option 3: Only conclusion II follows
Option 4: Neither conclusion I nor II follow
Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): All pens are pencils – According to the Venn diagram, the circle of pens overlaps the circle of pencils. So, some pens
Question : The following figure shows the percentage growth in units of fans and coolers sold in some years. What is the difference between the averages of the growth rates in coolers and fans?
Option 1: 34
Option 2: 30
Option 3: 32
Option 4: 42
Correct Answer: 34
Solution : Total growth rate in coolers = 60 + 72 + 54 + 45 = 231 Average growth rate in coolers = $\frac{231}{4}$ = 57.75 Total growth rate in fans = 27 + 18 + 30 + 20 = 95 Average growth rate in fans =
Question : What is the value of (a + b)3 – a3 + b3?
Option 1: –3ab(a – b) + 2b3
Option 2: 3ab(a + b) + 2b3
Option 3: 3ab(a – b) + b3
Option 4: –3ab(a + b) + b3
Correct Answer: 3ab(a + b) + 2b3
Solution : Given expression is (a + b)3 _ a3 + b3 We know that (a + b)3 = a3 + b3 +3ab(a + b) So, (a + b)3 – a3 + b3
Question : Select the most appropriate synonym of the given word. Interfere
Option 1: Activate
Option 2: Masquerade
Option 3: Hasten
Option 4: Restrict
Correct Answer: Restrict
Solution : The fourth option is the correct answer.
"Interfere" means to intervene in a situation in a way that disrupts or hinders its normal course of operation or progress. Similarly, "restrict" means to limit or control the actions, movements, or access of someone or something, thereby
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