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15 Views

Question : Directions: If A – B means that A is the brother of B, A + B means that A is the sister of B, and A ÷ B means that A is the father of B, then which of the following expressions shows that P is the paternal uncle of R?

Option 1: P + Q ÷ R

Option 2: P ÷ Q – R

Option 3: P – Q ÷ R

Option 4: P – Q + R

Team Careers360 18th Jan, 2024

Correct Answer: P – Q ÷ R


Solution : Let's check the options –
First option: P + Q ÷ R
According to the given expression, the family tree will be as follows –


Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.

158 Views

Question : Directions: Which two signs should be interchanged to make the given equation correct?
588 ÷ 28 × 32 + 72 – 160 = 760

Option 1: – and +

Option 2: ÷ and –

Option 3: + and ×

Option 4: ÷ and +

Team Careers360 21st Jan, 2024

Correct Answer: – and +


Solution : Given:
588 ÷ 28 × 32 + 72 – 160 = 760

Interchange the mathematical signs given in the equation with the signs given in the options one by one –
First option: – and +
⇒ 588 ÷ 28 × 32 –

11 Views

Question : Select the correct active form of the given sentence.
AIDS will have been cured by the year 2070 by scientists.

Option 1: Scientists will have cured AIDS by the year 2070.

Option 2: Scientists cured AIDS by the year 2070.

Option 3: Scientists will cure AIDS by the year 2070.

Option 4: Scientists must have cured AIDS by the year 2070.

Team Careers360 24th Jan, 2024

Correct Answer: Scientists will have cured AIDS by the year 2070.


Solution : The correct choice is the first option.

Active voice emphasises the doer of the action, while passive voice emphasises the receiver. To convert passive to active, we make the subject perform the action and rephrase the

26 Views

Question : A 1.6 m tall observer is 45 metres away from a tower. The angle of elevation from his eye to the top of the tower is 30°, then the height of the tower in metres is: (Take$\sqrt{3}=1.732$)

Option 1: 25.98

Option 2: 26.58

Option 3: 27.58

Option 4: 27.98

Team Careers360 19th Jan, 2024

Correct Answer: 27.58


Solution :
AB = Height of observer = 1.6 m.
CD = Height of tower = $h$ m.
∴ DE = ($h$ – 1.6) m
BC = AE = 45 metres
$\angle$DAE = 30°
From $\triangle$DAE,
$\tan 30°=\frac{DE}{AE}$
⇒ $\frac{1}{\sqrt{3}}=\frac{h-1.6}{45}$
⇒ $h-1.6=15\sqrt{3}$
⇒ $h – 1.6 =

21 Views

Question : $\cos ^2 35^{\circ}+\cos 55^{\circ} \cdot \sin 35^{\circ}+\frac{\tan 34^{\circ}}{\cot 56^{\circ}}=$________.

Option 1: 2

Option 2: 3

Option 3: 4

Option 4: 1

Team Careers360 19th Jan, 2024

Correct Answer: 2


Solution : We know that $\sin \theta = \cos (90°-\theta)$
And, $\tan \theta = \cot (90°-\theta)$
So, $\cos ^2 35^{\circ}+\cos 55^{\circ} \cdot \sin 35^{\circ}+\frac{\tan 34^{\circ}}{\cot 56^{\circ}}$
= $\cos ^2 35^{\circ}+\cos (90^{\circ}-35^{\circ}) \cdot\sin 35^{\circ}+\frac{\tan(90^{\circ}- 56^{\circ})}{\cot 56^{\circ}}$
= $\cos ^2 35^{\circ}+\sin 35^{\circ} \cdot \sin 35^{\circ}+\frac{\cot 56^{\circ}}{\cot 56^{\circ}}$
= $\cos

63 Views

Question : Which of the following is the lowest ratio?

Option 1: 8 : 19

Option 2: 15 : 38

Option 3: 17 : 38

Option 4: 13 : 19

Team Careers360 20th Jan, 2024

Correct Answer: 15 : 38


Solution : Here, the LCM of the denominators of all the options is 38.
So, $\frac{8}{19} = \frac{8×2}{19\times 2}=\frac{16}{38}$
$ \frac{15}{38} $, $ \frac{17}{38}$
$ \frac{13}{19}= \frac{13×2}{19\times 2}=\frac{26}{38}$
$\therefore$ 15 : 38 is the lowest ratio.
Hence, the correct answer is 15 : 38.

20 Views

Question : The difference between the compound interest (compounding half-yearly) for 1 year and the simple interest for 1 year on a certain sum lent out at the annual rate of 10% is Rs, 25. What is the sum?

Option 1: Rs. 12000

Option 2: Rs. 6000

Option 3: Rs. 8000

Option 4: Rs. 10000

Team Careers360 25th Jan, 2024

Correct Answer: Rs. 10000


Solution : Given,
Difference between compound interest and simple interest = Rs. 25,
Annual interest rate = 10%
We know,
Compound Interest for 1 year = $P[(1 + \frac{r}{100})^n- 1]$, where $r$ is the annual interest rate and $n$ is the number of compounding periods.
Simple

15 Views

Question : Directions: In the following question, correct the equation by interchanging two signs.
6 + 8 ÷ 4 – 4 = 8

Option 1: ÷ and =

Option 2: ÷ and +

Option 3: ÷ and –

Option 4: + and –

Team Careers360 24th Jan, 2024

Correct Answer: + and –


Solution : Given:
6 + 8 ÷ 4 – 4 = 8 

Let's check the options –
First option: ÷ and =
6 + 8 = 4 – 4 ÷ 8
LHS→6 + 8 = 14
RHS→4 – 4 ÷ 8
= 4 – 0.5 

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