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43 Views

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

Team Careers360 15th Jan, 2024

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

16 Views

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: $0$

Team Careers360 20th Jan, 2024

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 $0$.

3 Views

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

Team Careers360 12th Jan, 2024

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 =

23 Views

Question : Which one of the following is not a true fish?

Option 1: Shark

Option 2: Starfish

Option 3: Eel

Option 4: Seahorse

Team Careers360 15th Jan, 2024

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. 

17 Views

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: $\frac{2 \sqrt{3}}{3}$

Team Careers360 17th Jan, 2024

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

9 Views

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:

Team Careers360 23rd Jan, 2024

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

25 Views

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

Team Careers360 20th Jan, 2024

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.

6 Views

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

Team Careers360 22nd Jan, 2024

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

4 Views

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

Team Careers360 12th Jan, 2024

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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