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Question : $9x^2+25 - 30x$ can be expressed as the square of:
Option 1: $-3x - 5$
Option 2: $3x+5$
Option 3: $3x-5$
Option 4: $3x^2-25$
Correct Answer: $3x-5$
Solution : Given: $9x^2+25-30x$ = $9x^2-30x+25$ = $(3x)^2-2×3x×5+(5)^2$ = $(3x-5)^2$ Hence, the correct answer is $(3x-5)$.
Question : Which of the following folk dances does not belong to the state of Mizoram?
Option 1: Munari
Option 2: Chailam
Option 3: Zangtalam
Option 4: Cheraw
Correct Answer: Munari
Solution : The correct option is Munari.
Munari is not typically associated with folk dances in Mizoram. Munari is a traditional folk dance form from the state of Assam, not Mizoram. In Mizoram, various traditional folk dances are performed, reflecting the rich cultural heritage of the
Question : What do you call the type of drugs that mimic the natural messenger by switching on the receptor?
Option 1: Antidepressants
Option 2: Depressants
Option 3: Agonists
Option 4: Antagonists
Correct Answer: Agonists
Solution : The correct option is Agonists.
The drugs that mimic the natural messenger by switching on the receptor are called agonists. These are useful when there is a lack of natural chemical messengers. Agonist drugs are widely used in medicine to either enhance or mimic the
Question : If $a+\frac{1}{a}=2$, then the value of $(a^{5}+\frac{1}{a^{5}})$ will be:
Option 1: 0
Option 2: 1
Option 3: 3
Option 4: 2
Correct Answer: 2
Solution : Given: $a+\frac{1}{a} = 2$ If we take $a=1$, then LHS = $1+\frac{1}{1}=2$ = RHS So, $a=1$ satisfies the equation. Now, $a^5+\frac{1}{a^5}=1^5+\frac{1}{1^5}=2$ Hence, the correct answer is 2.
Question : A metal ball and a rubber ball, both having the same mass, strike a wall normally with the same velocity. The rubber ball rebounds and the metal ball does not rebound. It can be concluded that:
Option 1: The rubber ball suffers a greater change in momentum
Option 2: The metal ball suffers a greater change in momentum
Option 3: Both suffer the same change in momentum
Option 4: The initial momentum of the rubber ball is greater than that of the metal ball
Correct Answer: The rubber ball suffers a greater change in momentum
Solution : The correct option is The rubber ball suffers a greater change in momentum.
When a metal ball and a rubber ball of the same mass hit a wall with the same velocity, the rubber ball rebounds
Question : A boat takes a total of 2 hours to cover 9 km downstream and return, given that the speed of the stream is 6 km/hr. What is the speed of the boat in still water?
Option 1: 15 km/hr
Option 2: 8 km/hr
Option 3: 16 km/hr
Option 4: 12 km/hr
Correct Answer: 12 km/hr
Solution : Let the speed of the boat = $x$ km/hr Speed of current = $6$ km/hr Speed upstream = $(x - 6)$ km/hr Speed downstream = $(x + 6)$ km/hr Time of upstream + Time of downstream = 2 hours $\frac{9}{x-6}+\frac{9}{x+6}= 2$ ⇒ $9(x +
Question : A policeman saw a thief from a distance of 450 m. When the policeman started chasing him, the thief also started running. The ratio of speeds of the thief to the policeman is 7 : 8. After running how much distance (in km) can the policeman catch the thief?
Option 1: 3.75
Option 2: 3.4
Option 3: 3.6
Option 4: 3.15
Correct Answer: 3.6
Solution : Let the speed of the police and the thief be $8a$ m/sec and $7a$ m/sec. ⇒ Relative speed $= 8a - 7a=a$ m/sec Now, Time taken to catch the thief $= \frac{450}{a}$ sec ⇒ Distance travelled by the policeman $= (\frac{450}{a}) × 8a=3600$ m or
Question : Select the option that expresses the given sentence in active voice.
Where was this pen found by him?
Option 1: Where do he find this pen?
Option 2: Where does he find this pen?
Option 3: Where did he found this pen?
Option 4: Where did he find this pen?
Correct Answer: Where did he find this pen?
Solution : The correct choice is the fourth option.
Active voice emphasises the doer of the action, while passive voice emphasises the receiver. To convert passive to active, we make the subject perform the action and rephrase the verb.
The structure
Question : Select the most appropriate ANTONYM of the given word. Separable
Option 1: Branched
Option 2: Judicious
Option 3: Indivisible
Option 4: Liable
Correct Answer: Indivisible
Solution : The third option is correct.
Separable refers to the capability of being divided or separated into distinct parts, indicating the potential for division. In contrast, indivisible signifies the incapability of being divided or separated, emphasising unity and the inability to be split into distinct parts.
Question : Bar Graph showing the number of cars sold by a reputed company during different months of the year. Look at the following bar graph and answer the question that follows: In which month was the sale highest and what was the percentage of the total sales for 6 months?
Option 1: September, 21.3% nearly
Option 2: September, 18.7% nearly
Option 3: July, 21.3% nearly
Option 4: May, 18.7% nearly
Correct Answer: September, 21.3% nearly
Solution : From the graph, it can be seen that the sales were highest in September. Total sales = $600+700+700+500+450+800 = 3750$ Sales in September = $800$ $\therefore$ Percentage = $\frac{800}{3750}\times 100 = 21.33$% Hence, the correct answer is September, 21.3% nearly.
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