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Question : Directions: Two statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: Some songs are snow. Some snow is shoes. Conclusions: I. Some shoes are snow. II. Some snow is songs.
Option 1: Only conclusion I follows
Option 2: Neither conclusion I nor II follows
Option 3: Only conclusion II follows
Option 4: Both conclusions I and II follow
Correct Answer: Both conclusions I and II follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some shoes are snow – From the Venn diagram, it is evident that the circles representing shoes and snow overlap
Question : Select the most appropriate ANTONYM of the given word. WANE
Option 1: fall
Option 2: increase
Option 3: abate
Option 4: dwindle
Correct Answer: increase
Solution : The second option is the correct choice.
Wane means to decrease or diminish in size, intensity, or power. Increase, on the other hand, means to grow, expand, or become larger.
The meanings of the other words are:
Fall: It denotes a descent or drop from
Question : An article is sold at a certain price. If it is sold at $33 \frac{1}{3}$% of this price, there is a loss of $33 \frac{1}{3}$%. What is the percentage profit if the article is sold at 80% of its original selling price?
Option 1: 60%
Option 2: 50%
Option 3: 70%
Option 4: 40%
Correct Answer: 60%
Solution : Let $x$ be the original selling price. New selling price $= 33\frac{1}{3}$% of $x = \frac{x}{3}$ Let $y$ be the cost price. Loss $= 33\frac{1}{3}$% of $y = \frac{y}{3}$ ⇒ $y-\frac{x}{3} = \frac{y}{3}$ ⇒ $\frac{2y}{3} = \frac{x}{3}$ ⇒ Cost price $= y=\frac{x}{2}$ Now, selling price
Question : As per Census 2011, what is the Total Fertility Rate in India? (provide an approximate range)
Option 1: 3.1-3.9
Option 2: 2.1-2.9
Option 3: 4.1-4.9
Option 4: 5.1-5.9
Correct Answer: 2.1-2.9
Solution : The correct answer is 2.1-2.9.
The Total Fertility Rate (TFR) is a measure that indicates the total number of children a woman is expected to have during her lifetime based on the prevailing age-specific fertility rates in the population. According to the 2011 Census
Question : Directions: Nirav's house is 40 m south of Akash's house. Daksh's house is to the east of Akash's house in a straight line at a distance of X m. Prakash's house is to the west of Akash's house in a straight line at a distance of Y m. If the shortest distance between Prakash's house and Nirav's house is 50 m and the shortest distance between Daksh's house and Nirav's house is also 50 m, then what is the distance between Prakash's house and Daksh's house?
Option 1: 40 m
Option 2: 30 m
Option 3: 60 m
Option 4: 80 m
Correct Answer: 60 m
Solution : Firstly, we will draw the diagram as per the given instructions –
Now, we have the distance between between Prakash's house and Daksh's house.
From the above diagram, Using the Pythagoras theorem, we can find the values of X and Y – (40)2
Question : Comprehension: In the given passage, some words have been deleted. Fill in the blanks with the help of the options given. Select the most appropriate option for each number. One day, my six-year-old sister (1)_____ us which career she should (2)______ for. My father suggested (3)_____ she should become a doctor; (4)____ my mother said she could (5)____ a newspaper reporter. I (6)_____ she would make a (7)____ teacher. After a brief (8)______ my sister declared, "I will become (9)____ actress. Then I will get an (10)____ to play all these roles." Question: Select the most appropriate option to fill in the blank no. 8.
Option 1: silence
Option 2: space
Option 3: stop
Option 4: peace
Correct Answer: silence
Solution : The first option is the correct answer.
The word "silence" fits perfectly in this context as it implies a temporary absence of sound or conversation, which often accompanies moments of contemplation or decision-making.
Question : Select the most appropriate ANTONYM of the given word. Apex
Option 1: Pinnacle
Option 2: Bottom
Option 3: Farthest
Option 4: Watchful
Correct Answer: Bottom
Solution : The correct choice is the second option.
The term bottom refers to the lowest part or point, contrasting with the highest point represented by the apex. So, both nadir and bottom serve as antonyms for apex in different contexts.
The meanings of the other
Question : Select the most appropriate synonym of the underlined word.
The neighbour's words always tantalise us.
Option 1: Pacify
Option 2: Provoke
Option 3: Misguide
Option 4: Direct
Correct Answer: Provoke
Solution : The second option is the correct answer.
In the context of the sentence, the use of the term tantalise suggests that the neighbour's words provoke or tease, causing curiosity or desire. Provoke is an appropriate synonym, as it denotes the idea of inciting a reaction
Question : The following sentence has been divided into parts. One of them may contain an error. Select the part that contains the error from the given options. If you don't find any errors, mark 'No error' as your answer. We will / have been know the result / of the CAT exam by next week.
Option 1: of the CAT exam by next week
Option 2: We will
Option 3: have been know the result
Option 4: No error
Correct Answer: have been know the result
Solution : The error lies in the third option.
Explanation: The error lies in the use of the phrase "have been know". The correct form should be "have known" when expressing future perfect tense. The structure is "will have known", indicating that the
Question : Directions: Four number-pairs have been given, out of which three are alike in some manner and one is different. Select a different one. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – operations on 13 such as adding/subtracting/multiplying etc to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
Option 1: 7 : 334
Option 2: 5 : 134
Option 3: 9 : 720
Option 4: 11 : 1322
Correct Answer: 5 : 134
Solution : Let's check each option – First option: 7 : 334; 73 – 9 = 343 – 9 = 334 Second option: 5 : 134; 53 – 9 = 125 – 9 = 116 ≠ 134 Third option: 9 : 720; 9
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