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Question : If $x$ is subtracted from each of the numbers 20, 37, 54 and 105, then the numbers so obtained in this order are in proportion. What is the mean proportional between $(7 x-5)$ and $(x+1) $?

Option 1: 8

Option 2: 9

Option 3: 6

Option 4: 12

Team Careers360 25th Jan, 2024

Correct Answer: 8


Solution : If $x$ is subtracted from each of the numbers 20, 37, 54 and 105, then the numbers so obtained in this order are in proportion.
So, $\frac{(20-x)}{(37-x)} = \frac{(54-x)}{(105-x)}$
$⇒[(20-x)(105-x)]=[(54-x)(37-x)]$
$⇒34x=102$
$⇒x = 3$
The mean proportional between $(7x-5)$ and $(x+1)$ is the square root

6 Views

Question : Directions: Select the option figure in which the given figure (X) is embedded as its part. (Rotation is not allowed.)

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 25th Jan, 2024

Correct Answer:


Solution : As there is a restriction on the rotation of the figure, we will check where the question figure can exactly fit itself in the given option figures.
By comparison of all the option figures, the given question figure is embedded only in the fourth option figure.

12 Views

Question : In a circle, the length of a chord is 30 cm. The perpendicular distance of the chord from the centre of the circle is 8 cm. Find the diameter of the circle.

Option 1: 28 cm

Option 2: 34 cm

Option 3: 17 cm

Option 4: 30 cm

Team Careers360 25th Jan, 2024

Correct Answer: 34 cm


Solution :
Let AB be the chord and O be the center of the circle.
Also, OP is perpendicular to AB
In $\triangle$ OPB,
OB2 = PB2 + OP2
⇒ OB2 = 152 + 82
⇒ OB2 = 225

12 Views

Question : Who was the pioneer of the western system of education in India ?

Option 1: Dayanand Saraswati

Option 2: Lala Lajpat Rai

Option 3: Raja Ram Mohan Roy

Option 4: Surendranath Bannerjee

Team Careers360 25th Jan, 2024

Correct Answer: Raja Ram Mohan Roy


Solution : Correct Answer is Raja Ram Mohan Roy 

The remarkable changes Raja Ram Mohan Roy brought about in India during the 18th and 19th centuries have earned him the title, "father of the modern Indian Renaissance." Roy worked hard to spread among his

15 Views

Question : Directions: If 6 @ 4 @ 7 = 101 and 2 @ 5 @ 11 = 150, then what is the value of A in A @ 8 @ 9 = 289?

Option 1: 5

Option 2: 8

Option 3: 12

Option 4: 17

Team Careers360 25th Jan, 2024

Correct Answer: 12


Solution : Given:
6 @ 4 @ 7 = 101, 2 @  5 @ 11 = 150

Use the following operations in place of the given symbols @.
Like, 6 @ 4 @ 7 = 101 i
= 62 + 42 + 72 =

21 Views

Question : Who among the following founded the Kalakshetra Foundation in Chennai which is an important centre for the study and performance of fine arts?

Option 1: Rukmini Devi Arundale

Option 2: Yamini Krishnamurthy

Option 3: Mrinalini Sarabhai

Option 4: Alarmel Valli

Team Careers360 25th Jan, 2024

Correct Answer: Rukmini Devi Arundale


Solution : The correct answer is Rukmini Devi Arundale.

Kalakshetra Foundation, formerly known as Kalakshetra, is an esteemed arts and cultural academy situated in Chennai, India. Established in January 1936 by Rukmini Devi Arundale and George Arundale, the foundation is devoted to preserving traditional

78 Views

Question : Gross primary deficit is equal to ____________.

Option 1: difference between gross fiscal deficit and interest payments

Option 2: difference between total expenditure and total receipts

Option 3: difference between net borrowings and net capital receipts

Option 4: difference between revenue deficit and capital expenditure

Team Careers360 25th Jan, 2024

Correct Answer: difference between gross fiscal deficit and interest payments


Solution : The correct answer is the difference between the gross fiscal deficit and interest payments.

Gross primary deficit refers to the difference between the fiscal deficit of the current year and interest payments made on previous borrowings. It displays

14 Views

Question : Raja borrowed INR 15,000 on simple interest at the rate of 13% per annum and lent it on compound interest at the rate of 15% per annum, compounded annually. What is Raja's gain in two years?

Option 1: INR 1,080.00

Option 2: INR 1,125.00

Option 3: INR 937.50

Option 4: INR 865.50

Team Careers360 25th Jan, 2024

Correct Answer: INR 937.50


Solution : Given: Raja borrowed INR 15,000 on simple interest at the rate of 13% per annum and lent it on compound interest at the rate of 15% per annum, compounded annually.
We know, Simple interest = $\frac{\text{Principal × Rate × Time}}{100}=\frac{15000\times 13\times 2}{100}=$ INR 3,900

63 Views

Question : Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution’.

Scores given by the members are to be consolidated and sent in the head office immediately.

Option 1: No substitution

Option 2: after the head office

Option 3: at the head office

Option 4: to the head office

Team Careers360 25th Jan, 2024

Correct Answer: to the head office


Solution : The correct option is the fourth option.

Explanation: In the context of sending something to a particular location, the preposition "to" is commonly used to indicate the destination. Therefore, the correct preposition to use in this sentence is "to" when referring

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