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Question : Akbar can complete a piece of work alone in 12 days, while Anthony can complete the same work alone in 20 days. If they work on alternate days with Anthony starting the work, then in how many days can they complete the whole work?
Option 1: $15$ days
Option 2: $16$ days
Option 3: $14 \frac{4}{5}$ days
Option 4: $15 \frac{1}{5}$ days
Correct Answer: $15 \frac{1}{5}$ days
Solution : LCM of 12 and 20 is 60. So, Total work = 60 units Now, Efficiency of Akbar = $\frac{\text{Total unit of work}}{\text{No. of days}}=\frac{60}{12}= 5$ unit/day ⇒ Efficiency of Anthony = $\frac{\text{Total unit of work}}{\text{No. of days}}=\frac{60}{20}= 3$ unit/day ⇒ Total Efficiency =
Question : Directions: Select the option that is related to the fifth number in the same way as the second number is related to the first number and fourth number is related to third number. 7 : 2401 :: 3 : 441 :: 5 : ?
Option 1: 685
Option 2: 880
Option 3: 1805
Option 4: 1225
Correct Answer: 1225
Solution : Given: 7 : 2401 :: 3 : 441 :: 5 : ?
Multiply the first number by 7 and square the resultant to obtain the second term – Like in, 7 : 2401 → (7 × 7)2 = 2401 And in, 3 : 441
Question : Directions: In a certain code language, SLAP is coded as 3160, and PAST is coded as 6071. What is the code for L in the given code language?
Option 1: 3
Option 2: 1
Option 3: 6
Option 4: 0
Correct Answer: 3
Solution : Given: 1. SLAP ⇒ 3160 2. PAST ⇒ 6071
After comparing both the words and letters, we get – In word 1 and word 2, the common letters are A, S, P and the common codes are 6, 0, 1. The remaining letter and code
Question : Select the most appropriate one-word substitution of the given group of words. A person engaged in or trained for spaceflight.
Option 1: Astute
Option 2: Astronomer
Option 3: Astronaut
Option 4: Atrocious
Correct Answer: Astronaut
Solution : The third option is the correct choice.
Explanation: An astronaut is an individual who is trained for and participates in spaceflight. This term specifically refers to individuals who travel beyond Earth's atmosphere, typically as part of a space mission.
Therefore, the correct answer is astronaut.
Question : Directions: While coming home from school at 5 p.m., Ketaki's shadow was falling to her left. In which direction is the school from her home?
Option 1: Northwest
Option 2: Northeast
Option 3: North
Option 4: South
Correct Answer: North
Solution : According to the instructions given, the diagram is as follows –
As the sun sets in the West in the evening, i.e. 5 p.m., the shadow will be formed in the opposite direction of the sun. Here, the shadow is formed to the left of
Question : Expand the term IPCC :
Option 1: International Panel of Climate Control
Option 2: Interim Panel of Climate Change
Option 3: Intergovernmental Panel on Climate Change
Option 4: International Pollution Control Council
Correct Answer: Intergovernmental Panel on Climate Change
Solution : Intergovernmental Panel on Climate Change
The UN created the IPCC to act as the scientific body in charge of observing and evaluating all international studies on climate change. According to its definition, it refers to a specific body or panel that
Question : Directions: Select the option in which the numbers share the same relationship in the set as that shared by the numbers in the given 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.) (80, 5, 16) (90, 9, 10)
Option 1: (140, 7, 20)
Option 2: (40, 3,10)
Option 3: (200, 20, 25)
Option 4: (50, 5, 20)
Correct Answer: (140, 7, 20)
Solution : Given: (80, 5, 16); (90, 9,10)
Multiply the second number by the third number, to get the first number – (80, 5, 16)→5 × 16 = 80 (90, 9,10)→9 × 10 = 90
Let's check each option – First option: (140, 7, 20)→7
Question : Select the INCORRECT formula from the following options.
Option 1: $\sec^2 \theta-\tan^2 \theta=1$
Option 2: $\sin^2 \theta+\cos^2 \theta=1$
Option 3: $\operatorname{cosec}^2 \theta-\cot^2 \theta=1$
Option 4: $\sec^2 \theta+\cos^2 \theta=1$
Correct Answer: $\sec^2 \theta+\cos^2 \theta=1$
Solution : Amongst the given options, $\sec^2 \theta+\cos^2 \theta=1$ is not an identity. Hence, the correct answer is $\sec^2 \theta+\cos^2 \theta=1$.
Question : Which of the following cities existed in the Indus Valley Civilization?
Option 1: Harappa
Option 2: Sanchi
Option 3: Muziris
Option 4: Ayodhya
Correct Answer: Harappa
Solution : The correct answer is Harappa.
Central Punjab was home to Harappa, the centre of one of the regions of the Indus Valley Civilization. During the ancient Bronze Age, one of the most advanced civilizations was Harappan architecture. Beginning around 6000 BC, cultures like Mehrgarh's
Question : If waste materials contaminate the source of drinking water, which of the following diseases will spread?
Option 1: Scurvy
Option 2: Typhoid
Option 3: Malaria
Option 4: Anaemia
Correct Answer: Typhoid
Solution : The correct answer is typhoid.
Typhoid is a bacterial disease caused by the bacteria Salmonella typhi. It is spread through the consumption infected food and water. It is also known as enteric fever and it causes high fever and dysentery. Other disease causing baterias are-
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