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Question : Which one of the following is not a coal variety?
Option 1: Lignite
Option 2: Bituminous
Option 3: Dolomite
Option 4: Peat
Correct Answer: Dolomite
Solution : The correct option is Dolomite.
Dolomite is not a coal variety. Dolomite is a type of limestone. It contains a significant amount of calcium and magnesium carbonate. Other minerals are also present in it. Calcium carbonate makes up 60% of dolomite, whereas magnesium carbonate makes
Question : Which language was mostly used for the propagation of Buddhism?
Option 1: Sanskrit
Option 2: Prakrit
Option 3: Pali
Option 4: Shauraseni
Correct Answer: Pali
Solution : The correct answer is Pali.
Buddha conveyed his teachings in Pali, a Middle Indo-Aryan language spoken by common people. Pali, part of the Prakrit group, is renowned as the language of early Buddhist scriptures found in the Pali Canon. It also served as the liturgical
Question : Directions: Which of the option figures is the exact mirror image of the given problem figure when the mirror is held on the right side?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side of the figure (on line AB). So, the left side of the reflected image will appear
Question : One man or two women or three boys can do a piece of work in 88 days. One man, one woman, and one boy will do it in:
Option 1: 44 days
Option 2: 24 days
Option 3: 48 days
Option 4: 20 days
Correct Answer: 48 days
Solution : Time taken by 1 man or 2 women or 3 boys to do work = 88 days Time taken by 1 man = 88 days Efficiency of 1 man = $\frac{1}{88}$ Efficiency of 1 man = efficiency of 2 women = efficiency of 3
Question : If $\theta$ is a positive acute angle and $4\sin^{2}\theta =3$, then the value of $\left (\tan\theta-\cot\frac{\theta}{2}\right)$ is:
Option 1: $1$
Option 2: $0$
Option 3: $\sqrt{3}$
Option 4: $\frac{1}{\sqrt{3}}$
Correct Answer: $0$
Solution : Given: $4\sin^{2}\theta =3$ $⇒\sin\theta = \pm\frac{\sqrt{3}}{2}=\sin 60°$ Since $\theta$ is acute, so, $\theta=60°$ So, $\tan\theta-\cot\frac{\theta}{2}=\tan60°-\cot30°=\sqrt3-\sqrt3=0$ Hence, the correct answer is 0.
Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: Some daisies are lilies. All roses are lilies. Some tulips are daisies. Conclusions: (I) Some lilies are tulips. (II) Some roses are daisies.
Option 1: Only conclusion (II) follows
Option 2: Only conclusion (I) follows
Option 3: Both conclusions (I) and (II) follow
Option 4: Neither conclusion (I) nor (II) follows
Correct Answer: Neither conclusion (I) nor (II) follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some lilies are tulips – From the Venn diagram, it is evident that there is no direct relation between lilies
Question :
Directions: In the following question, select the related word from the given alternatives. Fan : Wings :: Wheel : ?
Option 1: Cars
Option 2: Air
Option 3: Spokes
Option 4: Round
Correct Answer: Spokes
Solution : Given: Fan : Wings :: Wheel : ?
Like, wings are an important part of the fan. Similarly, each spoke is a bar or wire rod that connects the centre of a wheel to its outer edge and is an important part of a wheel.
Question : Identify the segment in the sentence which contains a grammatical error.
Let us think how can we solve the problem amiably.
Option 1: solve the problem
Option 2: Let us think
Option 3: amiably
Option 4: how can we
Correct Answer: how can we
Solution : The correct choice is the fourth option.
To maintain the subject-verb order within the subordinate clause, we comes before the modal verb can. Thus, the correct order is how we can solve rather than can we solve.
Therefore, the correct
Question : The cost price of a cooler is Rs. 4800. If the profit percentage is 26%, what is the selling price of the cooler?
Option 1: Rs. 6248
Option 2: Rs. 6048
Option 3: Rs. 6640
Option 4: Rs. 5628
Correct Answer: Rs. 6048
Solution : The selling price of an item is calculated as the cost price plus the profit. The profit is calculated as a percentage of the cost price. Given that the cost price of the cooler is Rs. 4800 and the profit percentage is 26%. Profit
Question : If $\frac{1}{x^{2}}+x^{2}$ represents the radius of circle $P$ and $\frac{1}{x}+x=17$, which of the following best approximates the circumference of circle $P$?
Option 1: $287\pi$
Option 2: $547\pi$
Option 3: $574\pi$
Option 4: $278\pi$
Correct Answer: $574\pi$
Solution : Given: $\frac{1}{x}+x=17$ Squaring both sides, we have, ⇒ $(\frac{1}{x}+x)^{2}=17^{2}$ ⇒ $\frac{1}{x^{2}}+x^{2}+2=289$ ⇒ $\frac{1}{x^{2}}+x^{2}=287$ Circumference of circle $P$ = $2\pi r$ = $2×\pi ×287$ = $574\pi $ Hence, the correct answer is $574\pi $.
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