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10 Views

Question : A sum of Rs. 1,248 is to be distributed among Ridhaan and Vihaan in the proportion of 2 : 3. What is the share of Vihaan?

Option 1: Rs. 684.20

Option 2: Rs. 776.40

Option 3: Rs. 748.80

Option 4: Rs. 874.50

Team Careers360 24th Jan, 2024

Correct Answer: Rs. 748.80


Solution : The sum of Rs. 1,248 is to be distributed among Ridhaan and Vihaan in the proportion of 2 : 3. This means that for every 5 parts of the total sum, Vihaan gets 3 parts.
So, Vihaan's share is,
$=\frac{3}{2+3} \times 1248 = \frac{3}{5}

12 Views

Question : Select the most appropriate idiom for the underlined words in the given sentence.

Piyush is inexperienced in the leather industry.

Option 1: in great hands

Option 2: a sore thumb

Option 3: hang fire

Option 4: a greenhorn

Team Careers360 23rd Jan, 2024

Correct Answer: a greenhorn


Solution : The correct choice is the fourth option.

Explanation: The sentence suggests finding an idiom that expresses a lack of experience. "A greenhorn" is an appropriate idiom for someone who is inexperienced or new in a particular industry or field.

The meanings of the

14 Views

Question : Which of the following is known as ‘Plaster of Paris’?

Option 1: 2CaSO4. 2H2O

Option 2: 2MgSO4.H2O

Option 3: 2MgSO4.7H2O

Option 4: 2CaSO4.H2O

Team Careers360 24th Jan, 2024

Correct Answer: 2CaSO4.H2O


Solution : The correct option is 2CaSO4. 2H2O.

The compound 2CaSO4·2H2O is known as Plaster of Paris. Plaster of Paris is a common name for calcium sulphate hemihydrate, and its chemical formula is exactly

16 Views

Question : $\triangle ABC$ is an isosceles triangle with AB = AC = 15 cm and an altitude from A to BC of 12 cm. The length of side BC is:

Option 1: 9 cm

Option 2: 12 cm

Option 3: 18 cm

Option 4: 20 cm

Team Careers360 23rd Jan, 2024

Correct Answer: 18 cm


Solution :
Given: $\triangle ABC$ is an isosceles triangle with $AB = AC = 15$ cm.
$AD \perp BC$ 
So, $AD = 12$ cm.
Also, $BD = DC$.
Using Pythagoras theorem in $\triangle ABD$,
$(BD)^2=(AB)^2–(AD)^2$
$⇒BD=\sqrt{(AB)^2–(AD)^2}$
$⇒BD=\sqrt{(15)^2–(12)^2}$
$⇒BD=\sqrt{(15–12)(15+12)}$
$⇒BD=\sqrt{3\times27}$
$⇒BD=9$ cm
$BC = 2 \times BD

9 Views

Question : In what ratio sugar of Rs. 30 per kg should be mixed with sugar of Rs. 40 per kg so that the mixture is worth Rs. 37 per kg?

Option 1: 8 : 9

Option 2: 3 : 7

Option 3: 4 : 3

Option 4: 9 : 5

Team Careers360 24th Jan, 2024

Correct Answer: 3 : 7


Solution : Let's assume that the ratio in which the two types of sugar are mixed is $x:y$
The cost of sugar of Rs. 30 per kg is 30$x$
The cost of sugar of Rs. 40 per kg is 40$y$
The mixture is worth Rs.

26 Views

Question : Which of the following equations has equal roots?

Option 1: $3x^{2}-6x+2=0$

Option 2: $3x^{2}-6x+3=0$

Option 3: $x^{2}-8x+8=0$

Option 4: $4x^{2}-8x+2=0$

Team Careers360 25th Jan, 2024

Correct Answer: $3x^{2}-6x+3=0$


Solution : An equation has equal roots if its discriminant is zero. The discriminant of a quadratic equation $ax^{2}+bx+c=0$ is given by $b^{2}-4ac$.
Option (i):
$3x^{2}-6x+2=0$
So, $D=(-6)^{2}-4×3×2=36-24$
$\therefore D=12$ > 0
Option (ii):
$3x^{2}-6x+3=0$
So, $D=(-6)^{2}-4×3×3=36-36$
$\therefore D=0$
Option (iii):
$x^{2}-8x+8=0$
So, $D=(-8)^{2}-4×1×8=64-32$
$\therefore D=32$ >

18 Views

Question : ______ has become the 65th Indian Grandmaster at the age of 13.

Option 1: Prithu Gupta

Option 2: Raunak Sadhwani

Option 3: Rahul Vaid

Option 4: R. Praggnanandhaa

Team Careers360 23rd Jan, 2024

Correct Answer: Raunak Sadhwani


Solution : The correct answer is Raunak Sadhwani.

Raunak Sadhwani became the 65th Indian Grandmaster at the age of 13 years. The Grandmaster is the title award for the chess player by the world chess organisation FIDE (Federation Internationale des Echecs or International Chess Federation). 

30 Views

Question : What did John Boyd Dunlop invent?

Option 1: Pneumatic rubber tyre

Option 2: Car music system

Option 3: Steering wheel

Option 4: Diesel engine

Team Careers360 24th Jan, 2024

Correct Answer: Pneumatic rubber tyre


Solution : The correct option is a Pneumatic rubber tyre.

The pneumatic rubber tyre is said to have been invented by John Boyd Dunlop. Dunlop invented the first workable pneumatic tyre for bicycles in 1887. He placed an air-filled rubber tube around a bicycle

11 Views

Question : In $\Delta ABC$ the straight line parallel to the side $BC$ meets $AB$ and $AC$ at the point $P$ and $Q,$ respectively. If $AP=QC$, the length of $AB$ is $\operatorname{12 units}$ and the length of $AQ$ is $\operatorname{2 units}$, then the length (in units) of $CQ$ is:

Option 1: $4$

Option 2: $6$

Option 3: $8$

Option 4: $10$

Team Careers360 25th Jan, 2024

Correct Answer: $4$


Solution :

Given that $AP=QC$, $AB=\operatorname{12 units}$ and $AQ=\operatorname{2 units}$
Let $AP=QC=x\operatorname{ units}$
Since $PQ$ is parallel to $BC$, then,
$\Delta ABC\sim\Delta APQ$
Since the triangles are similar, the ratios of their corresponding sides are equal.
$\frac{AP}{AB}=\frac{AQ}{AC}$
⇒ $\frac{x}{12}=\frac{2}{2+x}$
⇒ $2x+x^2=24$
⇒ $x^2+2x-24=0$
⇒ $(x+6)(x-4)=0$
⇒ $x=4$

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