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41 Views

Question : The average mark obtained by a class of 60 students is 65. The average marks of half of the students were found to be 85. The average marks of the remaining students are:

Option 1: 35

Option 2: 45

Option 3: 55

Option 4: 65

Team Careers360 26th Jan, 2024

Correct Answer: 45


Solution : Given that the average mark of 60 students is 65.
Total marks = (60 × 65) = 3900
The average mark of half of the students = 85
Therefore, total marks of 30 students = 30 × 85 = 2550
Total marks of the remaining

11 Views

Question : The 'Right to Work' plan, under the National Rural Employment Guarantee Act, 2005, was implemented in how many districts in the first phase?

Option 1: 150

Option 2: 200

Option 3: 100

Option 4: 120

Team Careers360 27th Jan, 2024

Correct Answer: 200


Solution : The correct option is 200.

The initial phase of Mahatma Gandhi National Rural Employment Guarantee Act (MGNREGA) implementation began in 200 districts in February 2006, and it was later expanded to an additional 113 and 17 districts with effect from April 1st, 2007 and

26 Views

Question : "Abhinav Bharat" was founded in 1904 as a secret society of revolutionaries by:

Option 1: Damodar Chapekar

Option 2: Vinayak Damodar Savarkar

Option 3: Prafulla Chaki

Option 4: Khudiram Bose

Team Careers360 26th Jan, 2024

Correct Answer: Vinayak Damodar Savarkar


Solution : The correct answer is Vinayak Damodar Savarkar.

The first iteration of the Abhinav Bharat Society was a "Mitra Mela" in Nasik. Swantraveer Vinayak Savarkar renamed it in 1904. In 1904, a secret society was established. Following a few assassinations of British government officials,

62 Views

Question : Directions: In a certain code language, HEG is coded as 840, and JFD is coded as 720. What is the code for JDK in that code language?

Option 1: 1380

Option 2: 1320

Option 3: 1280

Option 4: 1400

Team Careers360 27th Jan, 2024

Correct Answer: 1320


Solution : Given:
HEG is coded as 840, JFD is coded as 720.

Multiply the positional values of the letters of HEG, and then the resultant is multiplied by 3, to obtain the required code –
H→8; E→5; G→7
(8 × 5 × 7) × 3 =

49 Views

Question : Directions: In the following question a series is given, find the missing number from the given alternatives.
0, 4, 18, 48, ?, 180

Option 1: 58

Option 2: 68

Option 3: 84

Option 4: 100

Team Careers360 27th Jan, 2024

Correct Answer: 100


Solution : Given:
0, 4, 18, 48, ?, 180

Follow the pattern to obtain the next term in the series –

So, 100 is the missing number in the series. Hence, the fourth option is correct.

8 Views

Question : If $x+\frac{1}{x}=2$, then $x^3+\frac{1}{x^3}=?$

Option 1: 1

Option 2: 8

Option 3: 2

Option 4: 0

Team Careers360 27th Jan, 2024

Correct Answer: 2


Solution : $x+\frac{1}{x}=2$
Cubing both sides, we get,
$(x+\frac{1}{x})^3=2^3$
⇒ $x^3 + \frac{1}{x^3}+3\times x\times\frac{1}{x}(x+\frac{1}{x})=8$
⇒ $x^3 + \frac{1}{x^3} + 3(x+\frac1x)=8$
⇒ $x^3 + \frac{1}{x^3} +3\times 2=8$
⇒ $x^3+\frac{1}{x^3}=8-6$
$\therefore x^3+\frac{1}{x^3}=2$
Hence, the correct answer is 2.

12 Views

Question : Successive discounts of 33% and 30% are equivalent to what single discount?

Option 1: 60.4%

Option 2: 50.5%

Option 3: 45.9%

Option 4: 53.1%

Team Careers360 26th Jan, 2024

Correct Answer: 53.1%


Solution : Single equivalent discount = $(a+b-\frac{a×b}{100}$)%, where $a$% and $b$% are successive discounts.
Here $a$ = 33% and $b$ = 30%
So, Single equivalent discount $= 33+30 - \frac{33×30 }{ 100}=63-9.9 = 53.1$%
Hence, the correct answer is 53.1%.

91 Views

Question : In a 5 km race, S gave a 500 m head start to T. If they finished the race at the same time and the speed of T is 13.5 km/hr, the speed of S is:

Option 1: 15 km/hr

Option 2: 20 km/hr

Option 3: 17.5 km/hr

Option 4: 16.5 km/hr

Team Careers360 26th Jan, 2024

Correct Answer: 15 km/hr


Solution : Let the speed of S as \(v\) km/hr.
Given that S gave a 500 m (or 0.5 km) head start to T, S has to run 5 km while T runs 4.5 km. Since they finish the race at the same time, their times

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