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Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".
This is John's book on the table.
(1) No Error
(2) John's book
(3) on the table.
(4) This is
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 2
Solution : The error is in option two.
The correct sentence should be "John's book is on the table"
The subject "this" is redundant in this sentence. The remaining sentence is complete and conveys the intended meaning. The phrase "on the table" is a prepositional phrase
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 apples are oranges. No orange is a grape. Conclusions: I. Some grapes are apples. II. Some oranges are apples.
Option 1: Only conclusion II follows
Option 2: Both conclusions I and II follow
Option 3: Neither conclusion I nor II follows
Option 4: Only conclusion I follows
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: Some grapes are apples – From the above diagram, it is clear that there is no direct relation between the circles of
Question : The Appointments Committee of the Cabinet (ACC) extended the tenure of the current Research and Analysis Wing (RAW) chief for another year, until June 30, 2023. Who is the current chief?
Option 1: Mukul Rohatgi
Option 2: Anil Chauhan
Option 3: Samant Kumar Goel
Option 4: Sunil Barthwal
Correct Answer: Samant Kumar Goel
Solution : The correct answer is Samant Kumar Goel.
It is Samant Kumar Goel's second extension of service. He is the third Research and Analysis Wing (RAW) chief with more than three years of term. Before him, RAW founder R. N. Kao served for
Question : Sujatha sold 75% of her goods at a profit of 24% and the remaining at a loss of 40%. What is her gain or loss percentage on the whole transaction?
Option 1: 8% gain
Option 2: 10% gain
Option 3: 7.5% loss
Option 4: 9% loss
Correct Answer: 8% gain
Solution : Let the total goods be 100 and their value is 100. So, total cost price = 100 × 100 = 10000 Sujatha sold 75% of her goods at a profit of 24%. So, the selling price = 75 × (100 + 24) = 75
Question : If $\cot B=\frac{15}{8}$, where $B$ is an acute angle, what is the value of $\sec B+\tan B$?
Option 1: $\frac{4}{5}$
Option 2: $\frac{5}{3}$
Option 3: $\frac{5}{4}$
Option 4: $\frac{3}{5}$
Correct Answer: $\frac{5}{3}$
Solution : Given: $\cot B=\frac{15}{8}$ We know that $\cot B=\frac{\text{base (b)}}{\text{perpendicular (p)}}=\frac{15}{8}$ So, $h^2 = \sqrt{b^2+p^2}$ where $h$ is hypotenuse. ⇒ $h^2 = \sqrt{15^2+8^2}$ ⇒ $h^2 = \sqrt{225+64}$ ⇒ $h^2 = \sqrt{289}$ ⇒ $h = 17$ Thus, $\sec B+\tan B$ $= \frac{\text{h}}{\text{b}}+\frac{\text{p}}{\text{b}}$ Putting the values of $p,
Question : Directions: In the following question, select the related number from the given alternatives. 12 : 1728 :: 17 : ?
Option 1: 4913
Option 2: 4927
Option 3: 4943
Option 4: 4963
Correct Answer: 4913
Solution : Given: 12 : 1728 :: 17 : ?
The second number is equal to the cube of the first number of the given pair. Like,12 : 1728→(12)3 = 1728 Similarly, 17 : ?→(17)3 = 4913
Hence, the first option is correct.
Question : An atom of an element has an atomic number of 17 and a mass of 36. The number of neutrons in its nucleus is
Option 1: 17
Option 2: 19
Option 3: 36
Option 4: 53
Correct Answer: 19
Solution : The correct answer is 19.
The atomic number of an element is equal to the number of protons in its nucleus. In this case, the atomic number is 17, therefore there are 17 protons in the nucleus. The mass number of an atom is
Question : If $\sin (a+b)=1$ and $\cos (a-b)=\frac{1}{2}$, find $a$.
Option 1: $75^{\circ}$
Option 2: $30^{\circ}$
Option 3: $15^{\circ}$
Option 4: $45^{\circ}$
Correct Answer: $75^{\circ}$
Solution : $\sin (a+b)=1$ $⇒\sin (a+b)=\sin 90^{\circ}$ $⇒(a+b)=90^{\circ}$ ...(i) $\cos (a-b)=\frac{1}{2}$ $⇒\cos (a-b)=\cos 60^{\circ}$ $⇒(a-b)=60^{\circ}$ ... (ii) Solve the above equations $2a=150^{\circ}$ $⇒a=75^{\circ}$ Hence, the correct answer is $75^{\circ}$.
Question : A boat can travel at a speed of 15 km/hr in still water. If the speed of the stream is 5 km/hr, find the time taken by the boat to go 80 km downstream.
Option 1: 3 hr
Option 2: 4 hr
Option 3: 6 hr
Option 4: 5 hr
Correct Answer: 4 hr
Solution : Given, Speed of boat in still water = 15 km Speed of stream = 5 km/hr Speed of Downstream = Speed of boat + Speed of stream = 15 + 5 = 20 km/hr We know, Time = $\frac{\text{Distance}}{\text{Speed}}$ $\therefore$ Time taken = $\frac{80}{20}$
Question : The line chart given below shows the number of pencils sold by two shopkeepers A and B in 5 months.
Which of the following statements is correct? I. The number of pencils sold by A in P and Q together is 31.72 percent more than the number of pencils sold by B in S and T together. II. The number of pencils sold by B in Q and R together is 105.88 percent of the number of pencils sold by A in P and T together.
Option 1: Neither I nor II
Option 2: Only I
Option 3: Only II
Option 4: Both I and II
Correct Answer: Only II
Solution : Statement I: Number of pencils sold by A in P and Q together = 150 + 140 = 290 Number of pencils sold by B in S and T together = 130 + 125 = 255 Percent of number of pencils sold by A
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