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12 Views

Question : Directions: Which one set of letters when sequentially placed at the gaps in the given letter series shall complete it?
ab_aabb_ _ bb_

Option 1: abbb

Option 2: abab

Option 3: baba

Option 4: baaa

Team Careers360 15th Jan, 2024

Correct Answer: baaa


Solution : Given:
ab_aabb_ _bb_

To fill the series we have to divide the series→ab_a / abb_ / _bb_
Let's check each option –
First option: abbb; abaa / abbb / bbbb (No repeated pattern has been found.)
Second option: abab; 

15 Views

Question : Which of the following registers the highest density in the country as per census 2011?

Option 1: Delhi

Option 2: Chandigarh

Option 3: Puducherry

Option 4: West Bengal

Team Careers360 25th Jan, 2024

Correct Answer: Delhi


Solution : The correct answer is Delhi.

According to 2011 census, India has a population density of 382 people per sq km. Among states Bihar has the highest population density and Arunachal Pradesh has the lowest population density. Among Union territories National Capital Territory has the highest

22 Views

Question : Identify the segment in the sentence which contains a grammatical error.

He thinks that he can get away among lying and cheating.

Option 1: among lying

Option 2: he can get away

Option 3: He thinks that

Option 4: and cheating

Team Careers360 11th Jan, 2024

Correct Answer: among lying


Solution : The error lies in the first option.

The preposition among is not suitable in this context. The correct preposition to use here is with. The phrase get away with is an idiomatic expression, and in this context, with is the correct preposition to convey

12 Views

Question : In the given figure, $ABC$ is an isosceles triangle with $\mathrm{BC}=8 \mathrm{~cm}$ and $\mathrm{AB}=\mathrm{AC}$ $=5 \mathrm{~cm}$. The value of $\tan \mathrm{C}-\cot \mathrm{B}$ is______.

Option 1: $-\frac{5}{12}$

Option 2: $-\frac{7}{12}$

Option 3: $\frac{7}{12}$

Option 4: $\frac{5}{12}$

Team Careers360 25th Jan, 2024

Correct Answer: $-\frac{7}{12}$


Solution :
Given, $ABC$ is an isosceles triangle with $\mathrm{BC}=8 \mathrm{~cm}$ and $\mathrm{AB}=\mathrm{AC}$ $=5 \mathrm{~cm}$
In $\Delta ABC$, $AD$ is the perpendicular bisector.
$BD=DC=\frac{BC}2$
$⇒BD=DC = \frac{8}2 = 4$
In $\Delta ADC$, by Pythagoras Theorem,
$AC^2 = DC^2 + AD^2$
$⇒5^2 = 4^2 + AD^2$
$⇒AD^2 =

33 Views

Question : The average of the 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 21st Jan, 2024

Correct Answer: 95


Solution : Given:
The average of 3 numbers is 135.
The largest number is 195.
The difference between the other two is 20.
Let x be the smallest number.
So, (x + 20) would be the second number.
According to the question,
195 + x + x

15 Views

Question : The next number of the sequences 3, 7, 15, 31, 63, ? is:

Option 1: 95

Option 2: 111

Option 3: 123

Option 4: 127

Team Careers360 25th Jan, 2024

Correct Answer: 127


Solution : Given: The sequences 3, 7, 15, 31, 63,?
Here, 3 + (22) = 7
7 + (23) = 15
15 + (24) = 31
31 + (25) = 63
63 + (26) = 127
Hence,

30 Views

Question : If the difference between the compound interest and simple interest on a certain sum at the rate of 5% per annum for 2 years is Rs. 20, then the sum is:

Option 1: Rs. 2000

Option 2: Rs. 4000

Option 3: Rs. 6000

Option 4: Rs. 8000

Team Careers360 21st Jan, 2024

Correct Answer: Rs. 8000


Solution : Rate, $R = 5$%
Term, $n = 2$ years
Let the principal be Rs. $P$.
CI – SI = Rs. 20
Difference between CI and SI in 2 years = $\frac{PR^2}{10000}$
So, 20 = $\frac{P×5^2}{10000}$
⇒ $P$ = Rs. 8000
Hence, the correct answer

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