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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: $\frac{33}{72}$
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
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
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
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
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,
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%
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
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
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
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is NOT allowed.) (2, 5, 341) (1, 7, 510)
Option 1: (8, 2, 140)
Option 2: (1, 2, 25)
Option 3: (2, 5, 56)
Option 4: (3, 6, 64)
Correct Answer: (1, 2, 25)
Solution : Given: (2, 5, 341); (1, 7, 510)
Add the first two numbers, then find its cube, and then subtract 2 from the cube to obtain the third number. (2, 5, 341)→(2 + 5) = (7)3 = 343 – 2 = 341 (1,
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
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,
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
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
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
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
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: $\frac{a-b}{1-a b}$
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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