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67 Views

Question : A takes 2 hours 30 minutes more than B to walk 40 km. If A doubles his speed, then he can make it in 1 hour less than B. What is the average time taken by A and B to walk a 40 km distance?

Option 1: 7 hours 15 minutes

Option 2: 5 hours 45 minutes

Option 3: 6 hours

Option 4: 5 hours 15 minutes

Team Careers360 24th Jan, 2024

Correct Answer: 5 hours 45 minutes


Solution : Let the speed of A as $a$ km/hr and the speed of B as $b$ km/hr. 
$\text{Speed} = \frac{\text{Distance}}{\text{Time}}$
From the problem, 
A takes 2 hours 30 minutes more than B to walk 40 km.
$⇒\frac{40}{a} = \frac{40}{b} + \frac{5}{2}$
If A

124 Views

Question : Directions: In the following question, select the missing number from the given series.
10, 10, 20, 60, 240, ?

Option 1: 1150

Option 2: 1400

Option 3: 1200

Option 4: 1440

Team Careers360 24th Jan, 2024

Correct Answer: 1200


Solution : Given:
10, 10, 20, 60, 240, ?

Multiply the previous term by consecutive natural numbers, to obtain the next term in the series –
10 × 1 = 10; 10 × 2 = 20; 20 × 3 = 60; 60 × 4 = 240; 240

33 Views

Question : Directions: Select the combination of letters that when sequentially placed in the blanks of the given series will complete the series.
AB_KPC_HKPEBH_PGBHK_

Option 1: CDGP

Option 2: HBKP

Option 3: CPHB

Option 4: HDGP

Team Careers360 25th Jan, 2024

Correct Answer: HBKP


Solution : Given:
AB_KPC_HKPEBH_PGBHK_

To fill the series we have to divide the series – AB_KP / C_HKP / EBH_P / GBHK_
Let's check each option –
First option: CDGP; ABCKP / CDHKP / EBHGP / GBHKP (No repeated

29 Views

Question : A prism has a regular hexagonal base with a side of 6 cm. If the total surface area of the prism is 216$\sqrt3$ cm2, then what is the height (in cm) of the prism?

Option 1: $3\sqrt3$

Option 2: $6\sqrt3$

Option 3: $6$

Option 4: $3$

Team Careers360 23rd Jan, 2024

Correct Answer: $3\sqrt3$


Solution : Given: Side, $a$ = 6 cm
Let the height be $h$.
Area of the base of the hexagonal prism $=6 \times \frac{\sqrt3}{4}a^2=6 \times \frac{\sqrt3}{4} \times 6^2 = 54\sqrt3$
Total curved surface area of prism = 2 × (Area of base) + 6 × (Side of

17 Views

Question : Select the INCORRECTLY spelt word.

Option 1: Reasonable

Option 2: Laughable

Option 3: Blessed

Option 4: Prophane

Team Careers360 24th Jan, 2024

Correct Answer: Prophane


Solution : The correct choice is the fourth option.

The incorrectly spelt word is prophane. The correct spelling is profane. It means "showing disrespect or contempt for sacred things".

The meanings of the other options are as follows:

  • Reasonable means fair and sensible; based on
48 Views

Question : The average of three numbers is 135. The largest number is 195 and the difference between the other two is 20. The smallest number is:

Option 1: 65

Option 2: 95

Option 3: 105

Option 4: 115

Team Careers360 23rd Jan, 2024

Correct Answer: 95


Solution : Given:
The average of the three numbers is 135.
The largest number is 195.
According to the question,
Let the smallest number be x then the other number will be (x + 20).
The sum of number = 135 × 3 = 405
Now,
195

12 Views

Question : Which of the following Articles of the Indian Constitution prohibits forced labour and prevents exploitation?

Option 1: Article 20

Option 2: Article 19

Option 3: Article 25

Option 4: Article 23

Team Careers360 23rd Jan, 2024

Correct Answer: Article 23


Solution : The correct answer is Article 23.

Article 23 of the Indian Constitution prohibits forced labour and trafficking. It states that no person shall be subjected to forced labour, and the state is mandated to prohibit human trafficking and forced labour while allowing compulsory

14 Views

Question : If $\cos \theta+\sec \theta=\sqrt{3}$, then the value of $\cos ^3 \theta+\sec ^3 \theta$ is:

Option 1: $0$

Option 2: $\frac{1}{\sqrt{3}}$

Option 3: $\sqrt{3}$

Option 4: $2 \sqrt{3}$

Team Careers360 24th Jan, 2024

Correct Answer: $0$


Solution : Given, $\cos \theta+\sec \theta=\sqrt{3}$
Cubing both sides, we get,
$⇒\cos^3\theta + \sec^3\theta+3\cdot\cos\theta\cdot\sec\theta(\cos \theta+\sec \theta)=3\sqrt3$
⇒ $\cos^3\theta+\sec^3\theta+3\times 1(\sqrt3)=3\sqrt3$ [$\because \cos\theta=\frac{1}{\sec\theta}$]
⇒ $\cos^3\theta+\sec^3\theta+3\sqrt3=3\sqrt3$
⇒ $\cos^3\theta+\sec^3\theta=0$
Hence, the correct answer is $0$.

46 Views

Question : Sanjay and Rohan can complete a work in 8 days and 12 days, respectively. Starting with Sanjay, they work on alternate days. In how many days will the work be completed?

Option 1: $8 \frac{1}{2}$

Option 2: $9 \frac{1}{2}$

Option 3: $9 \frac{2}{3}$

Option 4: $9 \frac{1}{3}$

Team Careers360 24th Jan, 2024

Correct Answer: $9 \frac{1}{2}$


Solution : Time taken by Sanjay to complete the work = 8 days
Part of work done by Sanjay in a day = $\frac{1}{8}$
Time taken by Rohan to complete the work = 12 days
Part of work done by Rohan in a day = $\frac{1}{12}$

11 Views

Question : Select the sentences that contain no spelling errors.

Option 1: My mother asked me to purchase two bread knives having serrated edges.

Option 2: My mother asked me to purchase two bread knives having seerated edges.

Option 3: My mother asked me to purchase two bread knives having serratted edges.

Option 4: My mother asked me to purchase two bread knives having serated edges.

Team Careers360 25th Jan, 2024

Correct Answer: My mother asked me to purchase two bread knives having serrated edges.


Solution : The correct option is the first option.

Explanation
The sentence is well-structured and uses the correct spelling for each word, conveying the clear message that your mother wants you to buy two knives specifically

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