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Question : A can do work in 18 days and B in 24 days. If they work on it together for 5 days, then find the fraction of the work that is left.

Option 1: $\frac{35}{72}$

Option 2: $\frac{7}{72}$

Option 3: $\frac{37}{72}$

Option 4: $\frac{33}{72}$

Team Careers360 14th Jan, 2024

Correct Answer: $\frac{37}{72}$


Solution : Given: A can do a work in 18 days and B in 24 days.
Efficiency of A = $\frac{1}{18}$
Efficiency of B = $\frac{1}{24}$
Combined efficiency of A and B = $\frac{1}{18}+\frac{1}{24}$ = $\frac{7}{72}$
Hence, total work done in 5 days = $5\times \frac{7}{72}=\frac{35}{72}$
Fraction

74 Views

Question : Directions: Select the option that is related to the fifth letter cluster in the same way as the second letter cluster is related to the first letter cluster and the fourth letter cluster is related to the third letter cluster.
PLATE : FVDPU :: SPOON : OQRTX :: KNIFE : ?

Option 1: FGJOL

Option 2: EFINK

Option 3: GHKPM

Option 4: FHLRP

Team Careers360 18th Jan, 2024

Correct Answer: FHLRP


Solution : Given:
PLATE : FVDPU :: SPOON : OQRTX :: KNIFE : ?

Add consecutive natural numbers in the place value of PLATE and shuffle their position, to get the required code –


So, PLATE is coded as FVDPU.
And, SPOON : OQRTX –


So, SPOON

24 Views

Question : A species of grass named _____ is on the verge of extinction due to its insensitivity towards the environment.

Option 1: Helianthus annuus

Option 2: Saccharum officinarum

Option 3: Hubbardia heptaneuron

Option 4: Bellis perennis

Team Careers360 14th Jan, 2024

Correct Answer: Hubbardia heptaneuron


Solution : The correct option is Hubbardia heptaneuron.

Hubbardia heptaneuron, a unique and critically endangered grass species, is indeed teetering on the brink of extinction due to its sensitivity to environmental changes. This slender, clump-forming grass, with its delicate spikelets and preference for wet rocks,

10 Views

Question : A machine is marked at Rs. 6800 and available at a discount of 10%. The shopkeeper gives another off-season discount to the buyer and sells the machine for Rs. 5202. Find the off-season discount?

Option 1: 10%

Option 2: 12%

Option 3: 15%

Option 4: 18%

Team Careers360 14th Jan, 2024

Correct Answer: 15%


Solution : Marked price of the machine = Rs. 6800
Price after first discount = $\frac{90}{100}$ × 6800 = Rs. 6120
The selling price of the machine = Rs. 5202
Discount percentage
$=\frac{\text{ Initial value – Final value}}{\text{Initial value}}\times100=\frac{6120-5202}{6120}× 100
= \frac{918}{6120} × 100= 15\%$
Hence, the

5 Views

Question : Who among the following Indian classical tabla players was called 'Abbaji'? He collaborated with American jazz drummer Buddy Rich to create a music album in 1968.

Option 1: Taufiq Qureshi

Option 2: Zakir Hussain

Option 3: Fazal Qureshi

Option 4: Alla Rakha

Team Careers360 12th Jan, 2024

Correct Answer: Alla Rakha


Solution : The correct option is Alla Rakha.

The Indian classical tabla player who was called "Abbaji" and collaborated with American jazz drummer Buddy Rich to create a music album in 1968 was Alla Rakha. Alla Rakha Khan, also known as Ustad Alla Rakha, was a

9 Views

Question : Lai Haraoba is the earliest form of which of the following classical dances of India?

Option 1: Manipuri

Option 2: Mohiniyattam

Option 3: Sattriya

Option 4: Kathakali

Team Careers360 12th Jan, 2024

Correct Answer: Manipuri


Solution : The correct option is Manipuri.

Manipuri dance is one of the eight classical dance forms of India, known for its grace, delicate movements, and rich cultural heritage. Manipuri dance originates from the northeastern Indian state of Manipur. Manipuri dance often depicts themes from Hindu mythology,

24 Views

Question : Six numbers are arranged in decreasing order. The average of the first five numbers is 30, and the average of the last five numbers is 25. The difference between the first and last numbers is:

Option 1: 20

Option 2: 25

Option 3: 5

Option 4: 30

Team Careers360 14th Jan, 2024

Correct Answer: 25


Solution : Let the six numbers be a, b, c, d, e, and f
The average of the 1st five numbers is 30
So, a+b+c+d+e = 30×5 = 150 ......................(1)
The average of the last five numbers is 25.
So, b+c+d+e+f = 25×5 =125 .......................(2)
Subtracting equation

8 Views

Question : The volume of a cone whose radius of a base and height are $r$ cm and $h$ cm respectively, is 400 cm3. What will be the volume of a cone whose radius of base and height are $2r$ cm and $h$ cm respectively?

Option 1: 100 cm3

Option 2: 1600 cm3

Option 3: 1200 cm3

Option 4: 800 cm3

Team Careers360 11th Jan, 2024

Correct Answer: 1600 cm3


Solution : Given: The volume of a cone whose radius of a base and height are $r$ cm and $h$ cm respectively, is 400 cm3.
The volume of a cone whose radius of base and height are $r$ cm and $h$ cm respectively

16 Views

Question : If $\tan (\alpha+\beta)=a, \tan (\alpha-\beta)=b$, then the value of $\tan 2 \alpha$ is:

Option 1: $\frac{a+b}{1-a b}$

Option 2: $\frac{a+b}{1+a b}$

Option 3: $\frac{a-b}{1+a b}$

Option 4: $\frac{a-b}{1-a b}$

Team Careers360 14th Jan, 2024

Correct Answer: $\frac{a+b}{1-a b}$


Solution : Given, $\tan (\alpha+\beta)=a$ and $\tan (\alpha-\beta)=b$
$\tan{2\alpha}=\tan((\alpha + \beta)+(\alpha - \beta)) = \frac{\tan(\alpha+\beta) + \tan(\alpha - \beta)}{1-\tan(\alpha + \beta)\tan(\alpha - \beta)}= \frac{a+b}{1-ab}$
Hence, the correct answer is $\frac{a+b}{1-ab}$.

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