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13 Views

Question : If a sum of Rs. 12,500 is invested for 1 year at 12% per annum interest is compounded semi-annually, then the interest earned is:

Option 1: Rs. 1,505

Option 2: Rs. 1,535

Option 3: Rs. 1,545

Option 4: Rs. 1,550

Team Careers360 23rd Jan, 2024

Correct Answer: Rs. 1,545


Solution : Given:
Principal = Rs. 12,500
Rate of Interest = 12%
Time = 1 year
Formula used:
Amount = $P(1+\frac{\frac{R}{2}}{100})^{2n}$ where n is the time in years and $R$ is rate of interest per annum when compounded half-yearly.
CI = $P(1+\frac{\frac{R}{2}}{100})^{2n} - P$
$\therefore n

10 Views

Question : Select the most appropriate synonym of the given word.
Bewilderment

Option 1: Confusion

Option 2: Agreement

Option 3: Arrangement

Option 4: Settlement

Team Careers360 15th Jan, 2024

Correct Answer: Confusion


Solution : The first option is the correct answer.

"Bewilderment" refers to a feeling of being perplexed or puzzled, often resulting from encountering a complex or confusing situation. On the other hand, "confusion" is a more general term encompassing a state of uncertainty, disarray, or a lack

19 Views

Question : The sum of the squares of 3 consecutive positive numbers is 365. The sum of the numbers is:

Option 1: 30

Option 2: 33

Option 3: 36

Option 4: 45

Team Careers360 19th Jan, 2024

Correct Answer: 33


Solution : Let the consecutive numbers be (x – 1), x and (x + 1).
According to the question,
(x–1)2 + x2 + (x+1)2 = 365
⇒ (x2 – 2x + 1) + x2 + (x2 + 2x + 1) =

19 Views

Question : Select the most appropriate synonym of the given word.
Miscellaneous

Option 1: Various

Option 2: Contemporary

Option 3: Virtuous

Option 4: Interesting

Team Careers360 24th Jan, 2024

Correct Answer: Various


Solution : The correct choice is the first option.

Miscellaneous refers to a collection or mixture of different kinds of things. Similarly, various denotes a variety of different types of things. In the context of the options provided, various is the closest synonym to "miscellaneous", as

36 Views

Question : If the radii of two circles are 6 cm and 3 cm and the length of the transverse common tangent is 8 cm, then the distance between the two centres is:

Option 1: $\sqrt{145} \text{ cm}$

Option 2: $\sqrt{140} \text{ cm}$

Option 3: $\sqrt{150} \text{ cm}$

Option 4: $\sqrt{135} \text{ cm}$

Team Careers360 17th Jan, 2024

Correct Answer: $\sqrt{145} \text{ cm}$


Solution : The distance between the centres of two circles with radii $r_1$ and $r_2$ (with $r_1 > r_2$), and the length of the transverse common tangent $t$,
$d = \sqrt{t^2 + (r_1 + r_2)^2}$
Substituting the given values into the equation:
$d = \sqrt{8^2

13 Views

Question : If $x+\frac{1}{x}=2$, then the value of $x^{11}+\frac{1}{x^{20}}$ is:

Option 1: 0

Option 2: 1

Option 3: 2

Option 4: 7

Team Careers360 22nd Jan, 2024

Correct Answer: 2


Solution : Given, $x+\frac{1}{x}=2$
⇒ $x^2+1=2x$
⇒ $x^2+1-2x=0$
⇒ $(x-1)^2=0$
⇒ $x-1=0$
$\therefore x=1$
Consider, $x^{11}+\frac{1}{x^{20}}$
= $1^{11}+\frac{1}{1^{20}}$
= $1+1$
= $2$
Hence, the correct answer is 2.

11 Views

Question : Directions: Which of the following letter clusters will replace the question mark (?) in the given series to make it logically complete?
AZX, CBZ, EDB, GFD, ?

Option 1: IHF

Option 2: IFH

Option 3: FHI

Option 4: JHF

Team Careers360 24th Jan, 2024

Correct Answer: IHF


Solution : Given:
AZX, CBZ, EDB, GFD, ?

In the above-given series, add 2 to the place value of each letter of the previous term to obtain the next term.
AZX→A + 2 = C; Z + 2 = B; X + 2 = Z
CBZ→C +

27 Views

Question : Which Indian tabla virtuoso and musician won the "Best Contemporary World Music Album Grammy Award" for "Global Drum Project"?

Option 1: Pandit Sandeep Das

Option 2: Ustad Alla Rakha

Option 3: Ustad Zakir Hussain

Option 4: Pandit Anindo Chatterjee

Team Careers360 22nd Jan, 2024

Correct Answer: Ustad Zakir Hussain


Solution : The correct option is Ustad Zakir Hussain.

The Indian tabla virtuoso and musician who won the "Best Contemporary World Music Album Grammy Award" for "Global Drum Project" is Zakir Hussain. He shared this Grammy Award with Mickey Hart, Sikiru Adepoju, and Giovanni

16 Views

Question : If $\sec\theta+\tan\theta=5$, then find the value of $\tan\theta$.

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

Option 2: $\frac{13}{5}$

Option 3: $\frac{13}{3}$

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

Team Careers360 19th Jan, 2024

Correct Answer: $\frac{12}{5}$


Solution : Given: $\sec\theta+\tan\theta=5$--------------------(equation 1)
We know,
$\sec^2\theta-\tan^2\theta=1$
⇒ $(\sec\theta+\tan\theta)(\sec\theta-\tan\theta)=1$
⇒ $(5)(\sec\theta-\tan\theta)=1$
⇒ $(\sec\theta-\tan\theta)=\frac{1}{5}$----------------------(equation 2)
Now, solving equations 1 and 2 we get,
$\tan\theta=\frac{12}{5}$
Hence, the correct answer is $\frac{12}{5}$.

15 Views

Question : Which one of the following Committee Reports recommended the establishment of the Institutions of Lokpal and Lokayukta?

Option 1: First Administrative Reforms Committee

Option 2: Gorwala Report

Option 3: Ashok Mehta Committee

Option 4: The Appleby Reports

Team Careers360 20th Jan, 2024

Correct Answer: First Administrative Reforms Committee


Solution : The correct option is the First Administrative Reforms Committee

In 1966, the Morarji Desai-led Administrative Reforms Commission (ARC) delivered an interim report titled "Problems of Redressal of Citizen's Grievances." To resolve citizens' complaints, ARC recommended the establishment of two special authorities known

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