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Question : Directions: In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows the given statements. Statements: All P is W. No O is W. Conclusions: I. Some O are not P. II. All W is O.
Option 1: Neither conclusion follows
Option 2: Only conclusion I follows
Option 3: Only conclusion II follows
Option 4: Both conclusions I and II follow
Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some O are not P – It is clear from the Venn diagram that all P is W and no W is
Question : Parts of the following sentence have been given as options. One of them may contain an error. Select the part that contains the error from the given options. If you don’t find any error, mark ‘No error’ as your answer. My sister called me for my lunch hours to tell me that she was getting married.
Option 1: was getting married
Option 2: No error
Option 3: my sister called me for my
Option 4: lunch hours to tell me that she
Correct Answer: my sister called me for my
Solution : The correct choice is the third option.
The error lies in the preposition used. The correct preposition to indicate the time during which the sister is called is "during" rather than "for".
Therefore, the correct sentence is: "My sister called
Question : If $\cos \theta+\cos ^2 \theta=1$, find the value of $\sqrt{\sin ^4 \theta+\cos ^2 \theta}$.
Option 1: $\sqrt{2} \cos \theta$
Option 2: $2 \operatorname{cos} \theta$
Option 3: $\sqrt{2} \operatorname{sin} \theta$
Option 4: $2 \operatorname{sin} \theta$
Correct Answer: $\sqrt{2} \cos \theta$
Solution : Given: $\cos \theta+\cos ^2 \theta=1$ ⇒ $\cos\theta + \cos^2\theta = \sin^2\theta + \cos^2\theta$ ⇒ $\cos\theta = \sin^2\theta$ Putting the value in the given equation, $\sqrt{\sin ^4 \theta+\cos ^2 \theta}$ $=\sqrt{\cos^2\theta + \cos^2\theta}$ $=\sqrt{2} \cos\theta$ Hence, the correct answer is $\sqrt{2} \cos\theta.$
Question : Select the most appropriate synonym of the underlined word in the given sentence. The professor refused to comment on the erroneous description of the historical events in the journal.
Option 1: Suitable
Option 2: Lucid
Option 3: Inaccurate
Option 4: Sensitive
Correct Answer: Inaccurate
Solution : The most appropriate option is the third option.
Explanation: Erroneous means containing errors or mistakes. Inaccurate also means not accurate or containing mistakes, aligning closely in meaning with erroneous.
The meanings of the other options are as follows:
Question : The value of $117 ÷ 45 \;\text {of} \frac{1}{5} + \frac{12}{5} × \frac{20}{3}$ is:
Option 1: 29
Option 2: 27
Option 3: 28
Option 4: 31
Correct Answer: 29
Solution : $117 ÷ 45 \;\text {of} \frac{1}{5} + \frac{12}{5} × \frac{20}{3}$ = 117 ÷ 9 + 4 × 4 = 13 + 16 = 29 Hence, the correct answer is 29.
Question : Comprehension:
In the following passage, some of the words have been deleted. Read the passage carefully and select the correct answer for the given blank out of the four alternatives.
One afternoon, a dozen Arizona State University students (1) _______to spend the morning cutting cardboard, mping filters, and assembling filters in an effort to (2)____125 portable air purifiers for local schools. That (3)_________morning, staff members at a homeless shelter in Los Angeles were setting (4)______ 20 homemade purifiers of their own, while in Brookline, Massachusetts, another DIY air purifier was whirring quietly in the back of a daycare (5)________ as children played.
Question: Select the most appropriate option to fill in the blank No. 4.
Option 1: on
Option 2: in
Option 3: up
Option 4: off
Correct Answer: up
Explanation:
The phrase setting up in this context implies the action of arranging or assembling something. The staff members at the homeless shelter in Los Angeles were actively putting together 20 homemade air purifiers.
Read the following passage and answer the questions given after it.
The Indian Space Research Organisation (ISRO) announced another successful mission. ISRO chairman S. Somanath said that three small satellites successfully separated and were injected into orbit. ISRO launched three small satellites powered by its SSLV-D2 launch vehicle from Satish Dhawan Space Centre at Sriharikota on February 10, 2023, at 09:18 AM IST. The launch vehicle was carrying EOS-07, Janus-1 & AzaadiSAT-2 satellites and aimed to inject them into a 450 km circular orbit. The launch took place at the first launch pad at SDSC SHAR, Sriharikota. The SSLV-D2 had to take a 15-minute flight to inject EOS-07, Janus-1, and AzaadiSAT-2 satellites into a 450 km circular lower orbit. “It is configured with three solid propulsion stages and a velocity terminal module. It is a 34 m tall, 2 m diameter vehicle having a lift-off mass of 120 t,” said ISRO. The EOS-07 satellite weighs 156.3 kg and is made by ISRO.
About 13 minutes into its flight, the SSLV rocket ejected EOS-07 and soon after that the other two satellites Janus-1 and AzaadiSAT-2 were ejected — all at an altitude of 450 km, said ISRO.
With the new rocket in its portfolio, ISRO will have three rockets — Polar Satellite Launch Vehicle (PSLV) and its variants (cost about Rs 200 crore), Geosynchronous Satellite Launch Vehicle (GSLV-MkII cost about Rs 272 crore and LVM3 Rs 434 crore) and SSLV (Development cost of three rockets about Rs 56 crore each) and production cost may go down later.
“New experiments include mm-Wave Humidity Sounder and Spectrum Monitoring Payload. Janus-1, a 10.2 kg satellite belongs to ANTARIS, USA. An 8.7 kg satellite AzaadiSAT-2 is a combined effort of about 750 girl students across India guided by Space Kidz India, Chennai,” it added.
SSLV caters to the launch of up to 500 kg satellites to Low Earth Orbits on a ‘launch-on-demand’ basis. “It provides low-cost access to Space, offers low turn-around time and flexibility in accommodating multiple satellites, and demands minimal launch infrastructure,” as per a statement by ISRO.
Question:
After reading the passage it can be inferred that it is
Option 1: a government release
Option 2: a news item
Option 3: a magazine article
Option 4: an editorial
Correct Answer: a news item
Solution : The correct choice is the second option.
The language used is factual and objective, providing information about a recent event (the successful launch of three small satellites by ISRO) without expressing opinions or providing analysis. The use of quotes from ISRO officials
Question : Which of the following statements is correct regarding the socialist society in the economy?
I. The government decides what goods are to be produced. II. Distribution of goods under socialism is supposed to be based on what people need.
Option 1: Only I
Option 2: Neither I nor II
Option 3: Both I and II
Option 4: Only II
Correct Answer: Both I and II
Solution : The correct option is Both I and II.
In a socialist system, there can be different degrees of government involvement, ranging from limited regulation and social ownership to more extensive control over the means of production.
In a socialist economy, the emphasis
Question : The table given below represents the cost, revenue, and tax rate for XYZ Limited for a period of 8 years. Cost and revenue are given in INR '000 crore.
Profit for any year = Revenue – Cost Profit after tax for any year = profit of that year – tax of that year Tax on any year = tax rate of that year $\times$ profit of the year How many distinct values of yearly profit are there?
Option 1: 3
Option 2: 4
Option 3: 5
Option 4: 6
Correct Answer: 5
Solution : Here all amounts are in thousands of crores of INR Profit (before tax) for Y1, 800 – 600 = 200 Profit (before tax) for Y2, 1100 – 850 = 250 Profit (before tax) for Y3, 1200 – 900 = 300 Profit (before tax) for Y4,
Question : If the difference between the selling prices of an article at profits of 10% and 7% is INR 6, then the cost price (in INR) of the article is:
Option 1: 175
Option 2: 150
Option 3: 200
Option 4: 100
Correct Answer: 200
Solution : The difference in selling price by selling an article at a profit of 10% and 7% = INR 6 Let the cost price (CP) of the article be $x$. According to the question, 110% of $x$ – 107% of $x$ = 6 ⇒ 3% of
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