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24 Views

Question : What is the value of $p$, if, $25(4+3 p) \div 5-3 \times 8=26$?

Option 1: 5

Option 2: 4

Option 3: 7

Option 4: 2

Team Careers360 22nd Jan, 2024

Correct Answer: 2


Solution : $25(4+3 p) \div 5-3 \times 8=26$ 
⇒ $ 5(4+3 p)-24=26$
⇒ $20+15p=50$
⇒ $15p=30$
$\therefore p=2$
Hence, the correct answer is 2.

15 Views

Question : Select the most appropriate antonym of the given word.

OPAQUE

Option 1: PELLUCID

Option 2: PARAGON

Option 3: GLORIFY

Option 4: DARK

Team Careers360 20th Jan, 2024

Correct Answer: PELLUCID


Solution : The correct choice is the first option.

Explanation:

The word opaque means not transparent or not allowing light to pass through. To find the antonym, we need a word that means transparent or allowing light to pass through. Pellucid fits this definition and

19 Views

Question : Matter waves are:

Option 1: De Broglie waves

Option 2: Electromagnetic waves

Option 3: Transverse waves

Option 4: Longitudinal waves

Team Careers360 20th Jan, 2024

Correct Answer: De Broglie waves


Solution : The correct answer is De Broglie waves.

De Broglie waves, also known as matter waves, were introduced by the French physicist Louis de Broglie in 1924. De Broglie proposed that particles, such as electrons, and other subatomic particles, can exhibit both particle-like and

23 Views

Question : IVF (In Vitro Fertilization) Technique was first devised by 

Option 1: Patrick Steptoe and Robert Edwards 

Option 2: Dr. Henry Dixon

Option 3: Robertson 

Option 4: Dr. Martin Cooper

Team Careers360 25th Jan, 2024

Correct Answer: Patrick Steptoe and Robert Edwards 


Solution : The correct answer is Patrick Steptoe and Robert Edwards 

The invention of IVF is attributed to Sir Robert Edwards and Patrick Steptoe. When a woman's fallopian tubes were blocked in 1978, Dr. Steptoe treated her. Robert Edwards, a physiologist at Cambridge

181 Views

Question : Five bells commence tolling together and toll at intervals of 5, 10, 15, 20, and 25 seconds respectively. In 1 hour 20 minutes, how many times do they toll together?

Option 1: 20

Option 2: 15

Option 3: 14

Option 4: 17

Team Careers360 21st Jan, 2024

Correct Answer: 17


Solution : Time after which the 5 bells will toll together = LCM of 5, 10, 15, 20, and 25
= 5 × 5 × 3 × 2 × 2
= 300 seconds
= 5 minutes
Total time = 1 hour 20 minutes
= 60 + 20

21 Views

Question : If $\cos3A = \sin (A-18°)$, where 3A is an acute angle, what is the value of A?

Option 1: 110°

Option 2: 108°

Option 3: 54°

Option 4: 27°

Team Careers360 21st Jan, 2024

Correct Answer: 27°


Solution : Given, $\cos3A = \sin (A-18°)$
We know, $\cos A = \sin(90°-A)$
⇒ $\sin(90°-3A)=\sin(A-18°)$
⇒ $90°-3A=A-18°$
⇒ $90°+18 = A+3A$
⇒ $4A=108°$
⇒ $A=27°$
Hence, the correct answer is 27°.

17 Views

Question : Directions: In the following question, which one set of letters/numbers when sequentially placed at the gaps in the given letter series shall complete it?
_ _ babbba_a_ _

Option 1: baaab

Option 2: babbb

Option 3: ababb

Option 4: bbaba

Team Careers360 24th Jan, 2024

Correct Answer: babbb


Solution : Given:
_ _ babbba_a_ _

To fill the series we have to divide the series – _ _ b/abb/ba _/a_ _
Let's check each option –
First option: baaab; bab/abb/baa/aab (No repeated pattern has been found)
Second option: babbb; bab/abb/ba

9 Views

Question : Simplify the following expression.
25 + 12 – 2 + (4 + 2)

Option 1: 41

Option 2: 37

Option 3: 35

Option 4: 44

Team Careers360 22nd Jan, 2024

Correct Answer: 41


Solution : Given: 25 + 12 – 2 + (4 + 2)
= 25 + 12 –  2 + 6
= 41
Hence, the correct answer is 41.

13 Views

Question : If $x^{2}+y^{2}+\frac{1}{x^{2}}+\frac{1}{y^{2}}=4$, then the value of $x^{2}+y^{2}$ is:

Option 1: 2

Option 2: 4

Option 3: 8

Option 4: 16

Team Careers360 23rd Jan, 2024

Correct Answer: 2


Solution : $x^{2}+y^{2}+\frac{1}{x^{2}}+\frac{1}{y^{2}}-4=0$
$⇒x^{2}+\frac{1}{x^{2}}-2+y^{2}+\frac{1}{y^{2}}-2=0$
$⇒(x-\frac{1}{x})^2+(y-\frac{1}{y})^2 = 0$
So, $x-\frac{1}{x}=0$ and $y-\frac{1}{y}=0$
⇒ $x^2-1=0$ and $y^2-1=0$
⇒ $x^2 = 1$ and $y^2 = 1$
$\therefore x^{2}+y^{2}= 1 + 1 = 2$
Hence, the correct answer is 2.

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