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Question : Directions: In the following question, select the related number from the given alternatives. 3222 : 7222 :: 3323 : ?
Option 1: 9949
Option 2: 8838
Option 3: 7727
Option 4: 2212
Correct Answer: 7727
Solution : Given: 3222 : 7222 :: 3323 : ?
Like, 3222 : 7222→On replacing the digit 3 with 7 in 3222, we get – 7222 Similarly, for 3323 : ?→On replacing the digit 3 with 7 in 3323, we get – 7727
So, 3323 is related
Question : Directions: If A denotes +, B denotes ×, C denotes –, and D denotes ÷, then what will be the value of the following expression? 45 A 15 D 15 C 14 B 2 = ?
Option 1: 18
Option 2: 12
Option 3: 14
Option 4: 15
Correct Answer: 18
Solution : Given: 45 A 15 D 15 C 14 B 2 = ?
On interchanging the signs given in the equation, the equation becomes – = 45 + 15 ÷ 15 – 14 × 2 = 45 + 1 – 14 × 2 = 45 +
Question : Silk is obtained from:
Option 1: Mulberry tree
Option 2: Saliva of the silk worm
Option 3: Larvae of silk worm
Option 4: Cocoon of silk worm
Correct Answer: Cocoon of silk worm
Solution : The correct option is - Cocoon of silk worm
The larvae of the mulberry silkworm form cocoons from which silk is produced. An organic protein fiber that can be woven into some types of textiles is silk. Certain insect larvae synthesize fibroin,
Question : If $5 \sin^2 A+3 \cos^2 A=4$, $0<A<90°$, then what is the value of $\tan A$?
Option 1: 0
Option 2: 3
Option 3: 1
Option 4: 2
Correct Answer: 1
Solution : Given: $5\sin^2 A+3\cos^2 A=4$ ⇒ $2\sin^2 A+ 3\sin^2A + 3\cos^2 A=4$ ⇒ $2 \sin^2 A+3=4$...........[Using $ \sin^2 A+ \cos^2 A=1$] ⇒ $\sin^2 A=\frac{1}{2}$ ⇒ $\sin A=\frac{1}{\sqrt{2}}$ ⇒ $A=45°$ So, $\tan A=1$ Hence, the correct answer is 1.
Question : Directions: Three of the following number triads are alike in some manner and one is different. Select the odd number triads. (NOTE: The second and third numbers in the given number triads are formed by performing a certain operation on the first number. The same operation is followed in all the number triads except one. Find that odd number triad.)
Option 1: 4 : 16 : 12
Option 2: 15 : 225 : 210
Option 3: 11 : 121 : 110
Option 4: 7 : 49 : 40
Correct Answer: 7 : 49 : 40
Solution : Let's check the options – First option: 4 : 16 : 12→(4)2 = 16; 16 – 4 = 12 Second option: 15 : 225 : 210→(15)2 = 225; 225 – 15 = 210 Third option: 11 : 121 :
Question : Directions: In the question, a sentence is given with a blank to be filled in with an appropriate word. Four alternatives are suggested for each question. Choose the correct alternative out of the four alternatives.
Make hay while the sun ____.
Option 1: shines
Option 2: is shining
Option 3: was shining
Option 4: has been shining
Correct Answer: shines
Solution : The correct choice to fill in the blanks is the first option.
"Shines" is an appropriate word to be used to make the correct proverb. "Make hay while the sun shines" means to take advantage of a situation that is favourable to them while they
Question : Directions: Select the option that is related to the third word in the same way as the second word is related to the first word. (The words must be considered meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word.) Rice : Grain :: Lentils : ?
Option 1: Pulses
Option 2: Sprouts
Option 3: Cereal
Option 4: Starch
Correct Answer: Pulses
Solution : Given: Rice : Grains :: Lentils : ?
Like, Rice is a small seed that is cultivated from grain plants. Similarly, Lentil is an edible seed that is cultivated from a legume plant, i.e., a variation of pulses.
Hence, the first option is correct.
Question : Directions: In the following question, a sentence is given with a blank to be filled in with an appropriate word. Four alternatives are suggested for each question. Choose the correct alternative out of the four as your answer.
We should go ______ doing more good than harm.
Option 1: on
Option 2: above
Option 3: about
Option 4: to
Correct Answer: about
Solution : The correct choice is the third option.
The preposition about is the correct choice, as it helps form the phrasal verb, which means to deal with something.
The meanings of the other options are as follows:
Question : Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph. A. Suddenly, a motorbike came towards me from the opposite direction. B. The consequence of my daredevilry was a sprained ankle and a bruised arm. C. I was enjoying my hands-free ride at top speed. D. I tried to swerve out of the way but lost control and fell.
Option 1: CBDA
Option 2: BCDA
Option 3: BADC
Option 4: CADB
Correct Answer: CADB
Solution : The fourth option is the correct answer.
Question : If $\alpha +\beta =90^{\circ}$, then the expression $\frac{\tan \alpha}{\tan \beta}+\sin^{2}\alpha+\sin^{2}\beta$ is equal to:
Option 1: $\sec^{2}\beta$
Option 2: $\tan^{2}\alpha$
Option 3: $\tan^{2}\beta$
Option 4: $\sec^{2}\alpha$
Correct Answer: $\sec^{2}\alpha$
Solution : Given: $\alpha +\beta =90^{\circ}$ Since $\alpha +\beta =90^{\circ}$ $\alpha = 90^{\circ} - \beta$ $\tan\alpha = \tan (90^{\circ} - \beta) = \cot \beta$ $\sin\alpha = \sin (90^{\circ} - \beta) = \cos\beta$. From the given expression, $\frac{\tan \alpha}{\tan \beta}+\sin^{2}\alpha+\sin^{2}\beta$ $ =\frac{\cot \beta}{\tan \beta} + \cos^{2}\beta + \sin^{2}\beta$
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