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76 Views

Question : A boat can move upstream at 25 km/hr and downstream at 35 km/hr. What is the speed of the current?

Option 1: 10 km/hr

Option 2: 15 km/hr

Option 3: 5 km/hr

Option 4: 22.5 km/hr

Team Careers360 23rd Jan, 2024

Correct Answer: 5 km/hr


Solution : Given:
A boat goes at 35 km/hr downstream and at 25 km/hr upstream.
Let the speed of the boat be $x$ km/hr and the speed of the current be $y$ km/hr.
So, at downstream $x+y=35$ ---------(1)
At upstream $x-y=25$ --------------(2)
Solving both equations, we

12 Views

Question : If $a=10$ and $b=3$, then what is the value of $\frac{(a+b)^2}{a^2-b^2}$?

Option 1: $\frac{182}{93}$

Option 2: $\frac{169}{91}$

Option 3: $\frac{185}{91}$

Option 4: $\frac{185}{93}$

Team Careers360 25th Jan, 2024

Correct Answer: $\frac{169}{91}$


Solution : putting the value $a=10$ and $b=3$, we get,
$\frac{(a+b)^2}{a^2-b^2}$
= $\frac{(10+3)^2}{10^2-3^2}$
= $\frac{13^2}{100-9}$
= $\frac{169}{91}$
Hence, the correct answer is $\frac{169}{91}$.

16 Views

Question : Chloroform can be used as

Option 1: Analgesic 

Option 2: Anaesthetic

Option 3: Antimalarial 

Option 4: Antibiotic 

Team Careers360 24th Jan, 2024

Correct Answer: Anaesthetic


Solution : The correct option is Anaesthetic.

In the mid-nineteenth century, chloroform was used as a general anaesthetic during surgical procedures, providing drowsiness and pain relief. However, due to major safety issues, such as the danger of overdose, toxicity, and deleterious effects on the central nervous system,

9 Views

Question : What is the value of $\frac{39}{25} \div \frac{13}{5}+\frac{33}{5} \times \frac{4}{11} ?$

Option 1: 3

Option 2: 12

Option 3: 5

Option 4: 15

Team Careers360 22nd Jan, 2024

Correct Answer: 3


Solution : Given: $\frac{39}{25} \div \frac{13}{5}+\frac{33}{5} \times \frac{4}{11}$
= $\frac{39}{25} \times \frac{5}{13}+\frac{33}{5} \times \frac{4}{11}$
= $\frac{3}{5}+\frac{12}{5}$
= $\frac{3+12}{5}$
= $\frac{15}{5}$
= $3$
Hence, the correct answer is 3.

24 Views

Question : Directions: In a certain coded language, hit ka tom is written as tie the shoes, ka lo fod is written as shoes of leather, and lo tin lot is written as leather and rexine. How is of written in this code language?

Option 1: fod

Option 2: ka

Option 3: lo or fod

Option 4: tin

Team Careers360 24th Jan, 2024

Correct Answer: fod


Solution : Given:
1. hit ka tom⇒tie the shoes
2. ka lo fod⇒shoes of leather
3. lo tin lot⇒leather and rexine

By comparing all the three coded sentences, we find that –
In sentences 1 and 2, shoes and ka are common.
In sentences 2 and 3,

11 Views

Question : Directions: Which answer figure will complete the pattern in the question figure?

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 25th Jan, 2024

Correct Answer:


Solution : On comparing, the question figure and all the answer figures, the following figure will combine and make the complete pattern –

Hence, the second option is correct.

22 Views

Question : If $a+\frac{1}{a}=7$, then $a^5+\frac{1}{a^5}$ is equal to:

Option 1: 15127

Option 2: 13127

Option 3: 14527

Option 4: 11512

Team Careers360 25th Jan, 2024

Correct Answer: 15127


Solution : Given:
$a+\frac{1}{a}=7$----------------(1)
Squaring both sides we get,
⇒ $a^2+\frac{1}{a^2}+2×a×\frac{1}{a}=49$
⇒ $a^2+\frac{1}{a^2}=49-2=47$ ------------------(2)
Now cubing equation 1 we get,
⇒ $a^3+\frac{1}{a^3}+3a×\frac{1}{a}(a+\frac{1}{a})=7^3$
⇒ $a^3+\frac{1}{a^3}+3×7=343$
⇒ $a^3+\frac{1}{a^3}=343-21=322$ ----------------(3)
Multiplying equations 2 and 3 we get
⇒ $a^5+a+\frac{1}{a}+\frac{1}{a^5}=47×322$
⇒ $a^5+\frac{1}{a^5}=47×322-(a+\frac{1}{a})$
⇒ $a^5+\frac{1}{a^5}=47×322-7$
$\therefore a^5+\frac{1}{a^5}=15127$
Hence, the correct answer is

13 Views

Question : Which of the following has revamped the E-Baal Nidan online portal in September 2022?

Option 1: UNICEF India

Option 2: National Commission for Protection of Child Rights

Option 3: NITI Aayog

Option 4: Ministry of women and child development

Team Careers360 22nd Jan, 2024

Correct Answer: National Commission for Protection of Child Rights


Solution : The correct answer is the National Commission for the Protection of Child Rights.

The E-Baal Nidan portal has been redesigned by the National Commission for Protection of Child Rights (NCPCR) with additional features to make it easier for complainants,

8 Views

Question : Directions: In the following question, select the one which is different from the other three alternatives.

Option 1: 16

Option 2: 56

Option 3: 128

Option 4: 2

Team Careers360 23rd Jan, 2024

Correct Answer: 56


Solution : Let's check the options –
First option: 16; 24 = 16; 16 can be expressed as a power of 2. 
Second option: 56; 56 cannot be expressed as a power of 2.
Third option: 128; 27 = 128; 128 can be expressed as

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