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Question : Pankaj purchases a watch for Rs. 1000. He sells the watch at a discount of 20% and earns a profit of 40%. What is the marked price of the watch?

Option 1: Rs. 1640

Option 2: Rs. 1880

Option 3: Rs. 1980

Option 4: Rs. 1750

Team Careers360 24th Jan, 2024

Correct Answer: Rs. 1750


Solution : If a 20% discount is given
⇒ Selling Price (SP) = 80% of the Marked Price (MP) = 0.8 × MP
Given that profit = 40%
So,
Selling price = Cost price × (1+ $\frac{profit \%}{100}$) = 1000 × (1+ 0.40)
⇒ 0.8 ×

1408 Views

Question : The sum of the cubes of two given natural numbers is 9728, while the sum of the two given numbers is 32. What is the positive difference between the cubes of the two given numbers?

Option 1: 6272

Option 2: 5832

Option 3: 4662

Option 4: 7904

Team Careers360 23rd Jan, 2024

Correct Answer: 6272


Solution : Let the two numbers be a and b.
Given, $a^3+b^3=9728$ and $a+b=32$
Now, $a^3+b^3=9728$
⇒ $(a+b)^3–3ab(a+b)=9728$
⇒ $32^3–3ab(32)=9728$
⇒ $96ab=32768–9728$
⇒ $ab=240$
⇒ $(a–b)^2=(a+b)^2–4ab=32^2–4(240)=64$
⇒ $a–b=8$
So, $a^3–b^3=(a–b)^3+3ab(a–b)=8^3+3(240)(8)=512+5760=6272$
Hence, the correct answer is 6272.

10 Views

Question : Select the correct indirect form of the given sentence.
He said to his brother, “Pack your bags and leave now.”

Option 1: He ordered his brother to pack your bags and leave now.

Option 2: He instructed his brother to pack his bags and leave then.

Option 3: He suggested his brother that he should pack his bags and leave then.

Option 4: He told his brother that pack your bags and leave now.

Team Careers360 22nd Jan, 2024

Correct Answer: He instructed his brother to pack his bags and leave then.


Solution : The second option is the correct choice.

The given sentence is a direct speech. The basic steps for changing or converting direct speech into indirect speech are:

  • The reporting verb "said" is changed to "instructed",
267 Views

Question : In a 1500 m race, if vehicle P gives vehicle Q a start of 200 m, then vehicle P wins the race by 8 sec. Alternatively, if vehicle P gives vehicle Q a start of 400 m, the race ends in a dead heat. How long does vehicle P take to run 1500 m?

Option 1: 44 sec

Option 2: 45 sec

Option 3: 40 sec

Option 4: 60 sec

Team Careers360 25th Jan, 2024

Correct Answer: 44 sec


Solution : 2 cases will be formed in this situation.
Case 1:
Vehicle P gives vehicle Q a start of 200 m, and P wins the race by 8 sec.
⇒ Distance traveled by P = 1500 m
And, Distance travel by Q = 1500 –

14 Views

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

Option 1: Q × P + R

Option 2: P × Q – R

Option 3: P + R × Q

Option 4: P × Q + R

Team Careers360 23rd Jan, 2024

Correct Answer: P × Q + R


Solution : Let's check the given options –
First option: Q × P + 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

25 Views

Question : Successive discounts of 18% and 22% are equal to a single discount of ______.

Option 1: 36.04%

Option 2: 35.04%

Option 3: 37.04%

Option 4: 34.04%

Team Careers360 25th Jan, 2024

Correct Answer: 36.04%


Solution : Successive discounts of 18% and 22% 
Single Discount $=D_{1} + D_{2} - \frac{(D_{1}\times D_{2})}{100}$
where, $D_{1}$ & $D_{2}$ are two successive discounts.
Single Discount = $18 + 22 - \frac{18\times22}{100}$
= 40 - 3.96
= 36.04%
$\therefore$ Successive discounts of 18% and 22% are equal

15 Views

Question : The perimeter of an equilateral triangle is equal to the circumference of a circle. The ratio of their areas is: ( Use $\pi =\frac{22}{7}$)

Option 1: $22 : 21\sqrt{3}$

Option 2: $21: 22\sqrt{3}$

Option 3: $21: 22\sqrt{2}$

Option 4: $22: 21\sqrt{2}$

Team Careers360 24th Jan, 2024

Correct Answer: $22 : 21\sqrt{3}$


Solution : Let the side of the equilateral triangle be $a$ unit.
Perimeter = $3a$ unit
Circumference of the circle = $2\pi r$
Given: Perimeter of triangle = circumference of the circle
So, $3a = 2\pi r$
⇒ $\frac{a}{r}=\frac{2 \pi}{3} =\frac{2\times22}{3 \times7}$
$\therefore \frac{a}{r}=\frac{44}{21}$
Area

17 Views

Question : If a car covers 75.5 km in 3.5 litres of petrol, how much distance (in km) will it cover in 28 litres of petrol?

Option 1: 603

Option 2: 602

Option 3: 604

Option 4: 600

Team Careers360 24th Jan, 2024

Correct Answer: 604


Solution : Here,
3.5 litres of petrol covers 75.5 km.
$\therefore$ 1litre of petrol covers = $\frac{75.5}{3.5}$ km
So, 28 litres of petrol = $\frac{75.5}{3.5} \times 28$ = 604
Hence, the correct answer is 604 km.

14 Views

Question : The seven years of war in the 18th century was fought between Britain and ________.

Option 1: Spain

Option 2: France

Option 3: Germany

Option 4: Portugal

Team Careers360 22nd Jan, 2024

Correct Answer: France


Solution : The correct answer is France.

The Seven Years' War, initiated in 1756, primarily centred around North American land disputes between France and Great Britain, particularly near Pittsburgh, Pennsylvania. This conflict, also known as the French and Indian War, expanded globally, involving Europe, Africa and

9 Views

Question : The Bureau of Indian Standard is a statutory body working under the aegis of which union ministry?

Option 1: Ministry of Commerce and Industry

Option 2: Ministry of Micro, Small, & Medium Enterprises

Option 3: Ministry of Corporate Affairs

Option 4: Ministry of Consumer Affairs, Food, and Public Distribution

Team Careers360 25th Jan, 2024

Correct Answer: Ministry of Consumer Affairs, Food, and Public Distribution


Solution : The correct option is the Ministry of Consumer Affairs, Food, and Public Distribution.

The Bureau of Indian Standards (BIS) is a statutory body in India and operates under the aegis of the Ministry of Consumer Affairs, Food,

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