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28 Views

Question : Find the fourth proportion for 15, 55, and 81.

Option 1: 231

Option 2: 297

Option 3: 335

Option 4: 313

Team Careers360 21st Jan, 2024

Correct Answer: 297


Solution : Assuming the fourth proportion is $x$.
15 : 55 :: 81 : $x$
⇒ $\frac{15}{55}$ = $\frac{81}{x}$
⇒ $x$ = $\frac{81×55}{15}$
⇒ $x$ = 297
Hence, the correct answer is 297.

26 Views

Question : If $x+\frac{1}{x}=-6$, what will be the value of $x^5+\frac{1}{x^5}$?

Option 1: – 7776

Option 2: – 6726

Option 3: – 6738

Option 4: – 6732

Team Careers360 16th Jan, 2024

Correct Answer: – 6726


Solution : Given:
$x+\frac{1}{x}=-6$ ---------------------------------------(1)
Squaring both sides of equation (1)
So, $(x+\frac{1}{x})^2=(-6)^2$
⇒ $x^2+\frac{1}{x^2}=36-2=34$
Cubing both sides of equation (1)
$(x+\frac{1}{x})^3=(-6)^3$
⇒ $x^3+\frac{1}{x^3}+3×x×\frac{1}{x}(x+\frac{1}{x})=-216$
⇒ $x^3+\frac{1}{x^3}+3(-6)=-216$
⇒ $x^3+\frac{1}{x^3}=-216+18=-198$
So, $x^5+\frac{1}{x^5}$
= $(x^2+\frac{1}{x^2})(x^3+\frac{1}{x^3})-(x+\frac{1}{x})$
= $34×(-198)-(-6)$
= $-6732+6$
= $-6726$
Hence, the correct answer is – 6726.

139 Views

Question : Directions: The bar graph shows the number of males and females (in crores) in India from 1951-1991. Read the graph and answer the following question:
What was the approximate percentage of the female population in India during 1991?

Option 1: 48.23%

Option 2: 48.02%

Option 3: 48.03%

Option 4: 48.33%

Team Careers360 22nd Jan, 2024

Correct Answer: 48.23%


Solution : As per the given graph:
The total populations of both males and females in the year 1991 = 44 + 41 = 85 crore
The population of females in the year 1991 = 41 crore
The percentage of female population in India during the year

33 Views

Question : Directions: Figure A is related to B in a certain pattern. Following the same pattern, figure C is related to D. Study the pattern and select the figure that should be placed in place of D.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 20th Jan, 2024

Correct Answer:


Solution : From figure A to figure B –
1. Rotate the arrow at the top left corner by 90° in the anticlockwise direction.
2. Rotate the arrow at the bottom right corner by 90° in the anticlockwise direction.
3. The dot at the centre will get double.

9 Views

Question : Directions: If A denotes +, B denotes –, and C denotes ×, then (10 C 4) A (4 C 4) B 6 = ?

Option 1: 46

Option 2: 50

Option 3: 55

Option 4: 58

Team Careers360 12th Jan, 2024

Correct Answer: 50


Solution : Given:
(10 C 4) A (4 C 4) B 6 = ?

On replacing the letters with mathematical signs, the equation becomes –
= (10 × 4) + (4 × 4) – 6
= 40 + 16 – 6
= 50

Hence, the second option

16 Views

Question : Nitrogen in water is commonly found in the form of:

Option 1: Nitrous oxide

Option 2: Nitrate

Option 3: Nitric oxide

Option 4: Nitrite

Team Careers360 25th Jan, 2024

Correct Answer: Nitrate


Solution : The correct option is Nitrate.

Water primarily contains nitrogen in the form of its oxides. Nitrate (NO3) is the nitrogen oxide that is most frequently discovered in water. Nitrate easily penetrates soils and enters groundwater, where concentrations can be significantly higher than in

8 Views

Question : ______, also known as search unemployment, occurs when workers lose their current job and are in the process of finding another one.

Option 1: Voluntary unemployment

Option 2: Disguised unemployment

Option 3: Frictional unemployment

Option 4: Classical unemployment

Team Careers360 20th Jan, 2024

Correct Answer: Frictional unemployment


Solution : The correct option is Frictional unemployment.

Frictional unemployment, also known as search unemployment, occurs when workers lose their current jobs and are in the process of finding another one. This type of unemployment is often temporary and occurs due to the natural transitions

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