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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 $.
Question : How many minutes for each degree of longitude does the local time of any place vary from the Greenwich time?
Option 1: two minutes
Option 2: four minutes
Option 3: six minutes
Option 4: eight minutes
Correct Answer: four minutes
Solution : The correct answer is four minutes.
Change of one degree longitude corresponds to 4 minutes from Greenwich meridian line. Earth takes 24x60 minutes to complete one revolution and it is divided into 360 longitudes. So from dividing this we get the figure of 4
Question : The average of all the numbers between 14 and 61 which are divisible by 5 is:
Option 1: 37.5
Option 2: 38
Option 3: 40
Option 4: 44
Correct Answer: 37.5
Solution : The average of all the numbers between 14 and 61 which are divisible by 5 = $\frac{15+20+25+30+35+40+45+50+55+60}{10}$ = $\frac{75×5}{10}$ = $37.5$ Hence, the correct answer is 37.5.
Question : A ______________account is maintained by an Indian Bank in a foreign country usually in the currency of that country to carry out transactions there.
Option 1: NOSTRO
Option 2: VOSTRO
Option 3: LIBOR
Option 4: MIBOR
Correct Answer: NOSTRO
Solution : The correct option is NOSTRO.
A NOSTRO account is an account maintained by an Indian bank in a foreign country, typically denominated in the currency of that country. The primary purpose of establishing a NOSTRO account is to facilitate and conduct transactions in that foreign
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