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Question : If 7 men working 7 hours a day for each of 7 days produce 7 units of work, then the units of work produced by 5 men working 5 hrs a day for each of 5 days is:
Option 1: $\frac{25}{343}$
Option 2: $\frac{125}{49}$
Option 3: $\frac{49}{125}$
Option 4: $\frac{343}{25}$
Correct Answer: $\frac{125}{49}$
Solution : Units of work by a group of 7 men, $W_1=7$ Time taken by them, $D_1=7$ days Number of hours they worked in a day, $T_1=7$ hours Let units of work by a group of 5 men be $W_{2}$ Time taken by them, $D_2=5$ days Number
Question : As per the Constitution of India, the President of India shall hold office for a term of ___ from the date on which he enters his office.
Option 1: four years
Option 2: six years
Option 3: three years
Option 4: five years
Correct Answer: five years
Solution : The correct answer is five years.
The Indian President is appointed to a five-year term that begins on the day of his inauguration, according to Article 56 of the Constitution. He can submit his resignation in writing to the Vice president of India
Question : The average height of P, Q, and R is 160 cm. If the average height of P and Q is 140 cm and that of Q and R is 129 cm, then what is the height of Q?
Option 1: 72 cm
Option 2: 62 cm
Option 3: 58 cm
Option 4: 78 cm
Correct Answer: 58 cm
Solution : According to the question Average = $\frac{P+Q+R}{3}$ = 160 ⇒ P + Q + R = 480 Also, $\frac{P+Q}{2}$ = 140 ⇒ P + Q = 280 The average height of Q and R is 129 cm, ⇒ $\frac{Q+R}{2}$ = 129 ⇒ Q +
Question : If $\sin A=\frac{2}{3}$, then find the value of (7 – tan A)(3 + cos A).
Option 1: $\frac{61}{3}+\frac{17}{3 \sqrt{5}}$
Option 2: $\frac{61}{3 \sqrt{5}}+\frac{17}{3}$
Option 3: $\frac{61}{3}+\frac{17}{\sqrt{5}}$
Option 4: $\frac{61}{3}-\frac{17}{3 \sqrt{5}}$
Correct Answer: $\frac{61}{3}+\frac{17}{3 \sqrt{5}}$
Solution : Given: $\sin A =\frac{2}{3}$ We know that $\sin A=\frac{\text{Perpendicular}}{\text{Hypotenuse}}=\frac{2}{3}$ We know, Hypotenuse2 = Base2 + Perpendicular2 ⇒ Base = $\sqrt{3^2-2^2}=\sqrt5$ We know, $\cos A =\frac{\text{Base}}{\text{Hypotenuse}}=\frac{\sqrt{5}}{3}$ And, ⇒ $\tan A=\frac{\sin A}{\cos A}=\ \frac{2}{\sqrt{5}}$ Now, $\left ( 7-\tan A \right )\left ( 3+\cos
Question : Select the most appropriate option to substitute the underlined segment in the given sentence. I don't wear the sunglasses at the moment.
Option 1: I didn't wear
Option 2: I wore
Option 3: I was wearing
Option 4: I'm not wearing
Correct Answer: I'm not wearing
Solution : The correct choice is the fourth option.
The original sentence is in the present tense, and I'm not wearing maintains the present continuous tense while expressing the negation of wearing sunglasses at the moment.
Therefore, the correct sentence is: "I'm not wearing
Question : Identify the segment in the sentence which contains a grammatical error.
He didn't know how getting to the Guest House so he stopped to ask the way.
Option 1: how getting to
Option 2: so he stopped
Option 3: to ask the way
Option 4: He didn't know
Correct Answer: how getting to
Solution : The correct choice is the first option.
Explanation: The segment "how getting to" contains an error. We don't use the present participle form of the verb after "how". The basic rule is to use the regular verb after "how" or to use
Question : A man rows upstream 36 km and downstream 48 km taking 6 hours each time. The speed of the current is:
Option 1: 0.5 km/hr
Option 2: 2 km/hr
Option 3: 1 km/hr
Option 4: 1.5 km/hr
Correct Answer: 1 km/hr
Solution : Given: A man rows upstream 36 km and downstream 48 km, taking 6 hours each time. The speed of the current = $\frac{1}{2}\times (\text{rate of downstream}-\text{rate of upstream})$. The rate of upstream is given as $\frac{36}{6}=6$ km/hr The rate of downstream is given as
Question : Directions: Find the missing number from the given responses.
Option 1: 4
Option 2: 7
Option 3: 6
Option 4: 8
Correct Answer: 6
Solution : Here, multiply the numbers given in rows one, two, and three to get the number for row four.
Like, in the first column→5 × 4 × 8 = 160 And, in the second column→7 × 8 × 6 = 336 Similarly, in the third column→9
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.) (6, 2, 96); (5, 6, 240)
Option 1: (4, 1, 6)
Option 2: (12, 3, 45)
Option 3: (1, 2, 16)
Option 4: (8, 3, 28)
Correct Answer: (1, 2, 16)
Solution : Given: (6, 2, 96); (5, 6, 240)
Like, (6, 2, 96)→(6 × 2) × 8 = 96 (5, 6, 240)→(5 × 6) × 8 = 240 Let's check the options – First option: (4, 1, 6)→(4 × 1) × 8 = 32 ≠
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank. Once King Krishnadeva Raya (1)________ a parrot of which he was excessively fond. He kept it in a silver cage and fed it fruits, nuts, and anything else the bird asked for. The parrot longed for freedom and often asked for it, but the king would always reply, "Ask for anything else." One day, the parrot said to the king, "Give me freedom, and I'll give you three (2)________ advice that could be of great benefit to you." The king loved the parrot, but he loved money (3)_______. The parrot said, "Never believe everything that is told to you. What you don't know is that I've two priceless gems in my stomach," said the bird. "Two priceless gems," echoed the king, "Oh, what a fool I was to set you free! I'll regret this for the rest of my life!" I (4)_________ you never to grieve over losses, but here you are grieving over losing me," said the parrot, "I advised you never to believe everything you hear, but you immediately believed me when I told you I had two gems in my stomach. (5)_________ I have survived if I really had two gems in my stomach?" My third advice is, "Listen, learn to listen with your mind instead of just with your ears." Saying these words, the parrot flew away. Select the most appropriate option to fill in the blank number 1.
Option 1: has
Option 2: had
Option 3: have
Option 4: will have
Correct Answer: had
Solution : The correct choice is the second option.
Explanation: The use of had is consistent with the past tense of the narration. The sentence describes a situation that existed in the past, emphasising the possession of a parrot by King Krishnadeva Raya at a specific point
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