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13 Views

Question : If $(a+\frac{1}{a})=–2$, then the value of $a^{1000}+a^{–1000}$ is:

Option 1: $2$

Option 2: $0$

Option 3: $1$

Option 4: $\frac{1}{2}$

Team Careers360 22nd Jan, 2024

Correct Answer: $2$


Solution : Given: $(a+\frac{1}{a})= -2$
$⇒\frac{a^2+1}{a}=-2$
$⇒a^2+2a+1=0$
$⇒(a+1)^2=0$
$\therefore a= -1$
So, $a^{1000} + \frac{1}{a^{1000}} = 1+1=2$
Hence, the correct answer is $2$.

7 Views

Question : Directions: Select the option in which the words share the same relationship as that shared by the given pair of words.
Lotus : Flower

Option 1: Rial : Currency

Option 2: Metal : Copper

Option 3: Paper : Book

Option 4: Furniture : Wood

Team Careers360 24th Jan, 2024

Correct Answer: Rial : Currency


Solution : Given:
Lotus : Flower (The first term is a type of the second term)

First option: Rial : Currency; Rial is a type of currency.
Second option: Metal : Copper; Copper is a metal, but the order of the terms is not correct.

15 Views

Question : Choose the word that can substitute for the given group of words.
A unit to measure light

Option 1: Lumen

Option 2: Watt

Option 3: Horse-power

Option 4: Ampere

Team Careers360 23rd Jan, 2024

Correct Answer: Lumen


Solution : The first option is the correct answer.

Lumen is a unit used to measure the total quantity of visible light emitted by a source per unit of time.

The meanings of the other options are as follows:

  • The watt is the unit of power in
44 Views

Question : A shopkeeper sells a table at a $25\%$ discount on the marked price and earns a profit of $70\%$. If he sells the same table at $50 \%$ discount, then his new profit percentage will be:

Option 1: $11 \frac{1}{3} \%$

Option 2: $12 \frac{1}{2} \%$

Option 3: $13 \frac{1}{3} \%$

Option 4: $13 \frac{1}{2} \%$

Team Careers360 20th Jan, 2024

Correct Answer: $13 \frac{1}{3} \%$


Solution : Let the marked price be $100$.
The discount is $25$% on the Marked Price.
So, the selling price = $100 - 25 = 75$
Profit is $70$%.
Cost price = $\frac{100}{170}×75=\frac{750}{17}$
If he sells the same table at $50 \%$ discount,
New selling

14 Views

Question : Directions: The marks obtained by 273 examinees are shown by the frequency polygon. Given that the mean mark is 59.5. Study the frequency polygon and answer the given questions.

The percentage of the students who get above 80% marks is:

Option 1: 9.81

Option 2: 10.53

Option 3: 11.28

Option 4: 11.72

Team Careers360 21st Jan, 2024

Correct Answer: 11.72


Solution : As per the given graph,
The number of students who got above 80% marks = 24 + 8 = 32
The total number of students = 273
$\therefore$ The required percentage
$=\frac{\text{The number of students who got above 80% marks}}{\operatorname{The total number of students}} ×

49 Views

Question : Directions: Select the combination of letters that when sequentially placed in the blanks of the given series will complete the series.
A_DC_FHGIJ_K_NPOQRT_

Option 1: BEKMS

Option 2: BELNU

Option 3: BELMS

Option 4: BEKNU

Team Careers360 21st Jan, 2024

Correct Answer: BELMS


Solution : Given:
A_DC_FHGIJ_K_NPOQRT_

To fill the series we have to divide the series – A_ / DC / _F / HG / IJ / _K / _N / PO / QR / T_
Let's check the options –
First option: BEKMS; AB / DC /

18 Views

Question : Directions: What will come in the place of ? in the following equation, if + and – are interchanged and × and ÷ are interchanged?
16 ÷ 4 + 15 × 5 – 47 = ?

Option 1: 118

Option 2: 128

Option 3: 138

Option 4: 108

Team Careers360 21st Jan, 2024

Correct Answer: 108


Solution : Given:
16 ÷ 4 + 15 × 5 – 47 = ?

After interchanging + with –, and × with ÷, the equation will be as follows –
= 16 × 4 – 15 ÷ 5 + 47
= 16 × 4 – 3 +

8 Views

Question : Find a single discount equivalent to two successive discounts of 12% and 8%.

Option 1: 18.8%

Option 2: 19.04%

Option 3: 19.4%

Option 4: 19.8%

Team Careers360 24th Jan, 2024

Correct Answer: 19.04%


Solution : The equivalent single discount to two successive discount $x$% and $y$% is $(x + y - \frac{xy}{100})$%
Here $x$ = 8 and $y$ = 12
⇒ Equivalent single discount = $8 + 12 - \frac{8 × 12}{100}= 20 - 0.96= 19.04$%
Hence, the correct answer

11 Views

Question : Improve the underlined part of the sentence choose 'No improvement' as an answer if the sentence is grammatically correct.
Each passenger is allows one piece of carry-on luggage.

Option 1: is allowed

Option 2: No improvement

Option 3: is allowing

Option 4: is allow

Team Careers360 21st Jan, 2024

Correct Answer: is allowed


Solution : The first option is correct.

The original sentence contains a grammatical error. The correct form of the verb is, is allowed instead of is allows. We always use the past participle form of the verb after the auxiliary verb in the passive structure

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