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Question : Directions: Sushala and Mala are sisters. Their mother Mahadevi has a brother named Vindhu. Vindhu is married to Saru. Saru has two sons, Dev and Ram. Bheem is the father-in-law of Saru. How is Bheem related to Mala?
Option 1: Uncle
Option 2: Father
Option 3: Brother-in-law
Option 4: Grandfather
Correct Answer: Grandfather
Solution : As per the given information, the family tree will be as follows –
Here, the quadrilateral represents the male and the circular figure represents the female in the figure.
So, from the above family tree, Bheem is the grandfather of Mala. Hence, the fourth option
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following set. (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.) (12, 125, 17) ( 8, 27, 11)
Option 1: (11, 32, 15)
Option 2: (19, 216, 25)
Option 3: (17, 16, 19)
Option 4: (9, 216, 16)
Correct Answer: (19, 216, 25)
Solution : Given: (12, 125, 17); ( 8, 27, 11)
Subtract the first number from the third number, and then cube the resultant, to get the second number – ⇒ (12, 125, 17)→(17 – 12)3 = 53 = 125 ⇒ (8, 27, 11)→(11
Question : Directions: Raju ranks 10th from the top and Ravi ranks 21st from the bottom. If there are 3 students between them, how many students are there in the class?
Option 1: 34
Option 2: 33
Option 3: 31
Option 4: 32
Correct Answer: 34
Solution : Given: Raju ranks 10th from the top and Ravi ranks 21st from the bottom. There are 3 students between Raju and Ravi.
Total number of students = 10 (Raju's rank) + 21 (Ravi's rank) + 3 (students between them) Total number of students = 34
Question : Directions: In the following question, select the related word from the given alternatives. Nest : Bird :: Den : ?
Option 1: Owl
Option 2: Lion
Option 3: Rat
Option 4: Goat
Correct Answer: Lion
Solution : Given: Nest : Bird :: Den : ?
Like, birds live in nests. Similarly, lions live in dens.
Hence, the second option is correct.
Question : Find the value of $\frac{\cos A}{1+\sin A}+\frac{1+\sin A}{\cos A}+2$.
Option 1: $1+2 \sec A$
Option 2: $2-\sec A$
Option 3: $2+\sec A$
Option 4: $2(1+\sec A)$
Correct Answer: $2(1+\sec A)$
Solution : Given: $\frac{\cos A}{1+\sin A}+\frac{1+\sin A}{\cos A}+2$ = $\frac{\cos^2A+1+\sin A+\sin A+\sin^2A}{(1+\sin A)(\cos A)}+2$ = $\frac{2+2\sin A}{(1+\sin A)(\cos A)}+2$ = $\frac{2(1+\sin A)}{(1+\sin A)(\cos A)}+2$ = $\frac{2}{\cos A}+2$ = $2\sec A+2$ = $2(1+\sec A)$ Hence, the correct answer is $2(1+\sec A)$.
Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error.
I ate / the egg / yesterday for / my dinner.
Option 1: the egg
Option 2: yesterday for
Option 3: I ate
Option 4: my dinner
Correct Answer: the egg
Solution : The correct choice is the first option.
The error in the original segment lies in the article used before "egg". The correct article is "an" instead of "the". This is because when referring to a singular, countable object like
Question :
Leech is an ectoparasite on cattle, which is:
Option 1:
Carnivorous
Option 2:
Omnivorous
Option 3: Sanguivorous
Option 4: Herbivorous
Correct Answer: Sanguivorous
Solution : The correct option is Sanguivorous.
Leeches are ectoparasitic creatures that feed on their hosts' blood and are classified as sanguivorous. When leeches infest cattle or other animals, they attach themselves to the host's skin, cause an incision with their specialised mouthparts, and then feed on
Question : Select the correct passive form of the given sentence. The pilot misunderstood the instructions from the control room.
Option 1: The instructions from the control room have been misunderstood by the pilot.
Option 2: The instructions from the control room are misunderstood by the pilot.
Option 3: The instructions from the control room were misunderstood by the pilot.
Option 4: The instructions from the control room was misunderstood by the pilot.
Correct Answer: The instructions from the control room were misunderstood by the pilot.
Solution : The third option is the correct choice.
Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active voice becomes
Question : What smallest value must be added to 508, so that the resultant is a perfect square?
Option 1: 4
Option 2: 9
Option 3: 18
Option 4: 21
Correct Answer: 21
Solution : 508 + $x$ = perfect square The perfect square nearest to 508 is 529 = 232 $\therefore x$ = 529 – 508 = 21 Hence, the correct answer is 21.
Question : If $\sqrt{x}=\sqrt{3}-\sqrt{5}$, then the value of $x^2-16x+6$ is:
Option 1: $0$
Option 2: $-2$
Option 3: $2$
Option 4: $4$
Correct Answer: $2$
Solution : Given: $\sqrt{x}=\sqrt{3}-\sqrt{5}$ By squaring both the sides, we get, $x=3+5-2\sqrt{15}$ ⇒ $x-8=-2\sqrt{15}$ Again, squaring both the sides, we get, $x^2-16x+64=60$ ⇒ $x^2-16x+4=0$ $\therefore x^2-16x+6=2$ Hence, the correct answer is $2$.
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