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Question : Directions: In this question, a sentence is given with a blank to be filled in with appropriate words. Four alternatives are suggested for each question. Choose the correct alternative out of the four alternatives.
My servant ___ with all my money.
Option 1: Have escaped
Option 2: Was run away
Option 3: Has run off
Option 4: Running away
Correct Answer: Has run off
Solution : The correct phrase to fill in the blank is the third option.
Has run off is the correct tense and phrasing to indicate that the servant has left with the money. It is in the present perfect tense, which is appropriate for describing
Question : Match the columns.
Option 1: i-b, ii-a, iii-d, iv-c
Option 2: i-b, ii-c, iii-a, iv-d
Option 3: i-a, ii-b, iii-c, iv-d
Option 4: i-d, ii-c, iii-b, iv-a
Correct Answer: i-a, ii-b, iii-c, iv-d
Solution : The correct answer is i-a, ii-b, iii-c, iv-d.
Question : Directions: If a mirror is placed on line AB, then out of the option figures which figure will be the right image of the question figure?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side of the figure (on line AB). So, the left side of the reflected image will appear
Question : The least number that divides 37044, gives the result in a perfect cube, is:
Option 1: 2
Option 2: 4
Option 3: 14
Option 4: 21
Correct Answer: 4
Solution : We have to find the smallest number that divides 37044 and results in a perfect cube. Here, 37044 = 2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 = 4 × 33 × 73 = 4 ×
Question : The amount of other goods and services that must be sacrificed to obtain more of any one good is called the _________cost of the good.
Option 1: opportunity
Option 2: secondary
Option 3: ignorable
Option 4: persuasive
Correct Answer: opportunity
Solution : The correct answer is opportunity.
The amount of other goods and services that must be sacrificed to obtain more of a good is called the opportunity cost of the good. In microeconomic theory, the price of opportunity is what we get in exchange for
Question : The value of the following is: $\left ( \frac{\sin47^{\circ}}{\cos43^{\circ}} \right )^{2}+\left ( \frac{\cos43^{\circ}}{\sin47^{\circ}} \right )^{2}-4\cos^{2}45^{\circ}$
Option 1: $-1$
Option 2: $0$
Option 3: $1$
Option 4: $\frac{1}{2}$
Correct Answer: $0$
Solution : $\left ( \frac{\sin47^{\circ}}{\cos43^{\circ}} \right )^{2}+\left ( \frac{\cos43^{\circ}}{\sin47^{\circ}} \right )^{2}-4\cos^{2}45^{\circ}$ We know that $\sin (90^{\circ} - \theta) = \cos \theta$ and $\cos (90^{\circ} - \theta) = \sin \theta$ Such that $\sin 47^{\circ} = \cos 43^{\circ}$ and $\cos 43^{\circ} = \sin 47^{\circ}$ $=\left ( \frac{\cos 43^{\circ}}{\cos 43^{\circ}}
Question : When 5 children from class A join class B, the number of children in both classes is the same. If 25 children from B, join A, then the number of children in A becomes double the number of children in B. The ratio of the number of children in A to those in B is:
Option 1: 19 : 18
Option 2: 9 : 8
Option 3: 18 : 17
Option 4: 19 : 17
Correct Answer: 19 : 17
Solution : Let the number of children in class A as $a$ and the number of children in class B as $b$. From the problem, When 5 children from A join B, the number of children in both classes is the same. $⇒a - 5
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
What (you have been) doing since the workshop last month?
(1) have you done
(2) you have done
(3) have you been doing
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The sentence can be improved using the third option.
The tense that is used when an action that started in the past is continuing in the present is present perfect continuous. Thus, "have you been doing" fits in the sentence grammatically.
Therefore, the correct sentence
Question : If $a^2+b^2+c^2=16$, $x^2+y^2+z^2=25$ and $ax+by+cz=20$, then the value of $\frac{a+b+c}{x+y+z}$ is:
Option 1: $\frac{3}{5}$
Option 2: $\frac{5}{3}$
Option 3: $\frac{4}{5}$
Option 4: $\frac{5}{4}$
Correct Answer: $\frac{4}{5}$
Solution : Given: $a^2+b^2+c^2=16$----(equation 1) $x^2+y^2+z^2=25$-----(equation 2) $ax+by+cz=20$-----(equation 3) Substitute the values of $b=0$ and $c=0$ in the given equation 1, we get, $a^2+0^2+0^2=16$ $⇒a^2=16$ $\therefore a=4$ Substitute the values of $y=0$ and $z=0$ in the given equation 2, we get, $x^2+0^2+0^2=25$ $⇒x^2=25$ $\therefore x=5$ Substitute the
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given sets. (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.) (8, 8, 128) (11, 7, 162)
Option 1: (7, 9, 128)
Option 2: (9, 8, 108)
Option 3: (6, 8, 124)
Option 4: (7, 8, 125)
Correct Answer: (7, 9, 128)
Solution : Given: (8, 8, 128); (11, 7, 162)
Here, (8, 8, 128)→(8 + 8)2 ÷ 2 = (16)2 ÷ 2 = 256 ÷ 2 = 128 (11, 7, 162)→(11 + 7)2 ÷ 2 = (18)2 ÷ 2 = 324 ÷
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