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5 Views

Question : Which of the following writers had called Akbar's Din-i Ilahi, a monument of his folly, not of wisdom?

Option 1: Badayuni

Option 2: Vincent Smith

Option 3: Barni

Option 4: W. Haig

Team Careers360 22nd Jan, 2024

Correct Answer: Vincent Smith


Solution : The correct answer is Vincent Smith.

Akbar founded the Din-i Ilahi religion in 1582. Birbal was reportedly the only Hindu supporter of that initiative, but it failed because the people were not interested in this. Author Vincent Smith referred to the Din-i Ilahi

19 Views

Question : Directions: In the following question, select the missing number from the given series.
81, 94, 120, 159, 211, ?

Option 1: 266

Option 2: 278

Option 3: 276

Option 4: 264

Team Careers360 17th Jan, 2024

Correct Answer: 276


Solution : Given:
81, 94, 120, 159, 211, ?

Add the consecutive multiples of 13 to each term to get the next term in the series.
81 + 13 = 94; 94 + 26 = 120; 120 + 39 = 159; 159 + 52 = 211; 211

16 Views

Question : A man bought a watch at a 10% discount. If he had bought it at a 20% discount, he would have gotten the watch for Rs. 125 less. The marked price of the watch is:

Option 1: Rs. 2,500

Option 2: Rs. 1,250

Option 3: Rs. 3,750

Option 4: Rs. 1,000

Team Careers360 13th Jan, 2024

Correct Answer: Rs. 1,250


Solution : Given:
A man bought a watch at a 10% discount. If he had bought it at a 20% discount, he would have gotten the watch for Rs. 125 less.
Here (20 – 10) = 10% is equivalent to Rs. 125
So 100% is equivalent

25 Views

Question : If $\left (x+\frac{1}{x} \right)=5$, what is the value of $\left (x^{5}+\frac{1}{x^{5}} \right)$?

Option 1: 1875

Option 2: 2525

Option 3: 2530

Option 4: 3120

Team Careers360 12th Jan, 2024

Correct Answer: 2525


Solution : Given: $\left (x+\frac{1}{x} \right)=5$
Squaring both sides, we get,
$⇒\left (x+\frac{1}{x} \right )^{2}=5^{2}$
$⇒x^{2}+\frac{1}{x^{2}}+2=25$
$⇒x^{2}+\frac{1}{x^{2}}=23$
Also, $\left ( x+\frac{1}{x} \right )^{3}=5^{3}$
$⇒x^{3}+\frac{1}{x^{3}}+3(x)(\frac{1}{x})(x+\frac{1}{x})=125$
$⇒x^{3}+\frac{1}{x^{3}}+3(1)(5)=125$
$⇒x^{3}+\frac{1}{x^{3}}=110$
Now, $(x^{3}+\frac{1}{x^{3}})( x^2+\frac{1}{x^2})=x^{5}+\frac{1}{x^{5}}+x+\frac{1}{x}$
$⇒110\times 23=x^{5}+\frac{1}{x^{5}}+5$
$\therefore x^{5}+\frac{1}{x^{5}} = 2525$
Hence, the correct answer is 2525.

9 Views

Question : Directions: Four pairs of letter clusters have been given out of which three are alike in some manner, while one is different. Choose the odd one.

Option 1: GJB – ROW

Option 2: EFR – VUI

Option 3: DFL – USM

Option 4: IKN – PNK

Team Careers360 17th Jan, 2024

Correct Answer: EFR – VUI


Solution : Let's check each option:
First Option: GJB – ROW; In the second letter cluster opposite alphabet are written of the first letter cluster; G→R; J→O; B→W
Second Option: EFR – VUI→This doesn't follow the rule as R is not opposite to I.
Third

17 Views

Question : Directions: In the following question a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.
7, 16, 27, 40, 55, ?

Option 1: 70

Option 2: 72

Option 3: 81

Option 4: 66

Team Careers360 23rd Jan, 2024

Correct Answer: 72


Solution : Given: 
7, 16, 27, 40, 55, ?

Add consecutive odd numbers starting from 9 in each number, to get the next number in the series –
7 + 9 = 16; 16 + 11 = 27; 27 + 13 = 40; 40 + 15 =

19 Views

Question : In how much time will a sum of Rs. 10200 amount to Rs. 19125 at the rate of 12.5% per annum at simple interest?

Option 1: 6 years

Option 2: 5 years

Option 3: 8 years

Option 4: 7 years

Team Careers360 18th Jan, 2024

Correct Answer: 7 years


Solution : Given, Principal Amount, $P$ = Rs. 10200
The amount received after interest = Rs. 19125
Rate of interest, $R$ = 12.5%
Let the time taken for the amount to become Rs. 19125 be $T$ years 
Simple interest here = Rs. (19125 – 10200) =

6 Views

Question : If $x:y=3:4$, then $4x+5y:5x–2y=?$

Option 1: $7:32$

Option 2: $32:7$

Option 3: $4:3$

Option 4: $5:2$

Team Careers360 24th Jan, 2024

Correct Answer: $32:7$


Solution : Given: $x:y=3:4$ --------------------------------(1)
Or, $\frac{x}{y}=\frac{3}{4}$
Now, $(4x+5y):(5x–2y)$
Dividing by $y$ in the numerator and the denominator, we get,
$[4(\frac{x}{y})+5]:[5(\frac{x}{y})–2]$
= $[4(\frac{3}{4})+5:5(\frac{3}{4})–2]$ (Putting the value of $\frac{x}{y}$ from equation 1)
= $(3+5):(\frac{15}{4}–2)$
= $8:(\frac{15–8}{4})$
= $8:\frac{7}{4}$
= $32:7$
Hence, the correct answer is $32:7$.

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