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Question : A sentence has been given with a blank to be filled with an appropriate option. Choose the correct alternative. John rushed to the spot and saw his wife and kid _________on the road.
Option 1: lain
Option 2: lying
Option 3: lie
Option 4: laying
Correct Answer: lying
Solution : The correct choice is the second option.
Explanation: Lying is the present participle form of the verb "lie" (meaning to be in or assume a horizontal or resting position). In this context, "lying" would be used to describe the position of John's wife
Question : If $(a+b)=5$, then the value of $(a-3)^7+(b-2)^7$ is:
Option 1: $2^7$
Option 2: $3^7$
Option 3: $1$
Option 4: $0$
Correct Answer: $0$
Solution : Given: $(a+b)=5$ $⇒a=5-b$ The value of the expression $(a-3)^7+(b-2)^7$ is given as, $=(5-b-3)^7+(b-2)^7$ $=(2-b)^7+(b-2)^7$ $=-(b-2)^7+(b-2)^7$ $=0$ Hence, the correct answer is $0$.
Question : The ratio of the number of boys to the number of girls in a school of 432 pupils is 5 : 4. When some new boys and girls are admitted, the number of boys increases by 12 and the ratio of boys to girls changes to 7 : 6. The number of new girls admitted is:
Option 1: 12
Option 2: 14
Option 3: 24
Option 4: 20
Correct Answer: 24
Solution : Given: The ratio of the number of boys to the number of girls in a school of 432 pupils is 5 : 4. Original number of boys in the school = $\frac{5}{9}× 432=240$ Original number of girls in the school = 432 – 240 =
Question : Which one of the following is not a true fish?
Option 1: Shark
Option 2: Starfish
Option 3: Eel
Option 4: Seahorse
Correct Answer: Starfish
Solution : The correct option is Starfish.
Despite its name, a sea star is not a real fish. Echinoderms are marine invertebrates that include starfish (sea stars), sea urchins, sand dollar and sea cucumbers. A starfish does not have the characteristics of a fish.
Question : If $(\cos \theta+\sin \theta):(\cos \theta-\sin \theta)=(\sqrt{3}+1):(\sqrt{3}-1), 0^{\circ}<\theta<90^{\circ}$, then what is the value of $\sec \theta$?
Option 1: 2
Option 2: $\sqrt{2}$
Option 3: 1
Option 4: $\frac{2 \sqrt{3}}{3}$
Correct Answer: $\frac{2 \sqrt{3}}{3}$
Solution : $(\cos \theta+\sin \theta):(\cos \theta-\sin \theta)=(\sqrt{3}+1):(\sqrt{3}-1)$ $\Rightarrow \frac{\cos\ \theta\ +\ \sin\ \theta}{\cos\ \theta\ -\ \sin\ \theta}\ =\ \frac{\sqrt{3}+\ 1}{\sqrt{3}-\ 1}$ By componendo and dividendo $\Rightarrow \frac{\cos\ \theta}{\sin\ \theta}\ =\ \frac{\sqrt{3}}{1}$ $\Rightarrow \cot\ \theta = \sqrt{3}=\cot30^\circ$ $\Rightarrow \theta = 30^\circ$ $\therefore \sec\ 30^\circ=\frac{2}{\sqrt{3}}=\frac{2 \sqrt{3}}{3}$ Hence, the
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed on the right side.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear close 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 area of a sector of a circle is 308 cm2, with the central angle measuring 45°. The radius of the circle is:
Option 1: 14 cm
Option 2: 21 cm
Option 3: 7 cm
Option 4: 28 cm
Correct Answer: 28 cm
Solution : According to the question, $\frac{45°}{ 360°} ×πr^2 = 308$ ⇒ $πr^2 = 308 × 8$ ⇒ $\frac{22}{7} × r^2 = 2464$ ⇒ $r^2 = 784$ ⇒ $r = 28$ cm Hence, the correct answer is 28 cm.
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold parts at 1, 2, and 3 that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is 4.
Members usually meet in one another's homes.
(1) another's
(2) each another's
(3) every other's
(4) No Improvement
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 4
Solution : The fourth option is the correct choice.
The phrase one another is used for more than two people. The first and fourth options are out of context, whereas the third option, each other's, is used for only two people.
Therefore, the correct statement would be:
Question : Find out the wrong number in the sequence 169, 144, 121, 100, 82, 64, 49.
Option 1: 144
Option 2: 49
Option 3: 64
Option 4: 82
Correct Answer: 82
Solution : Given: The sequence 169, 144, 121, 100, 82, 64, 49 can be written as 132, 122, 112, 102, 82, 82, 72 in the same order. Observe that all the numbers are perfect squares except
Question : Select the most appropriate meaning of the underlined idiom in the given sentence.
If you are not careful, your business will go to the dogs.
Option 1: be profitable
Option 2: be ruined
Option 3: be taken over
Option 4: be successful
Correct Answer: be ruined
Solution : The second option is correct.
Let's look at the meaning of the given idiom.
Go to the dogs: to become ruined or in a much worse condition.
Therefore, be ruined is the correct answer.
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