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Question : A and B are positive integers. If A + B + AB = 65, then what is the difference between A and B (A, B < 15)?
Option 1: 3
Option 2: 4
Option 3: 5
Option 4: 6
Correct Answer: 5
Solution : Given: A + B + AB = 65, where (A, B < 15) Try numbers from 1 to14 for A and B. A = 10 and B = 5 satisfy the given equation. Hence, (A – B) = (10 – 5) = 5 Hence, the
Question : The deepest trench of the world - 'The Mariana Trench' is located in the :
Option 1: Indian Ocean
Option 2: Atlantic Ocean
Option 3: Arctic Ocean
Option 4: Pacific Ocean
Correct Answer: Pacific Ocean
Solution : The correct option is Pacific Ocean.
The Mariana Trench is the deepest known marine trench on Earth. It is located in the western Pacific Ocean and reaches the greatest known oceanic depth, known as the Challenger Deep. The Challenger Deep within the Mariana Trench
Question : Kapil initiated a business with an investment of INR 30,00,000 in April 2022. After six months, his friend Kunal joined him with an investment of INR 25,00,000. In February 2023, Kapil's ex-class fellow Saloni also invested an amount equal to the total investment made by the earlier two partners. In what ratio the profit earned after 3 years from the date on which Kapil initiated the business, will be distributed?
Option 1: 332 : 200 : 50
Option 2: 108 : 75 : 143
Option 3: 432 : 300 : 55
Option 4: 432 : 400 : 55
Correct Answer: 108 : 75 : 143
Solution : Investment made by Kapil = INR 30,00,000 Time of investment made by Kapil = 36 months The investment made by Kunal = INR 25,00,000 Time of investment made by Kunal = 30 months The investment made by Saloni = INR 55,00,000
Question : Directions: Select the option in which the given figure is embedded (rotation is NOT allowed).
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of the question figure with all the option figures, it is evident that the given question figure is embedded only in the third option figure.
Hence,
Question : The pie chart represents the modes of transport used by different employees in a university. The central angle of the sector for officers using two-wheelers is:
Option 1: 72$^{\circ}$
Option 2: 46$^{\circ}$
Option 3: 36$^{\circ}$
Option 4: 54$^{\circ}$
Correct Answer: 54$^{\circ}$
Solution : Using information from the table: Two wheeler = 15% According to the question, Central angle corresponding to two wheeler = $\frac{15}{100}×360^{\circ}$ = 54$^{\circ}$ Hence, the correct answer is 54$^{\circ}$.
Question : Select the most appropriate synonym of the underlined word.
Never teach your children to flout the rules and regulations of their educational institution.
Option 1: Monitor
Option 2: Revere
Option 3: Divulge
Option 4: Mock
Correct Answer: Mock
Solution : The fourth option is the correct choice.
Explanation: In the given sentence, the word flout is used in the context of rules and regulations, suggesting a disregard for or scornful attitude towards them. Mock is a synonym that aligns closely with this meaning, indicating
Question : Directions: In the following number pairs, the second number is obtained by applying certain mathematical operations to the first number. Select the set in which the numbers are related in the same way as the numbers of the following sets. (63, 496); (42, 328) (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.)
Option 1: (48, 376)
Option 2: (25, 194)
Option 3: (37, 302)
Option 4: (63, 512)
Correct Answer: (48, 376)
Solution : Given: (63, 496); (42, 328)
In the given pairs, multiply the first number by 8 and then subtract 8 from the resulting number to obtain the second number. (63, 496)→(63 × 8) – 8 = 504 – 8 = 496 (42, 328)→(42 × 8)
Question : __________ unemployment refers to the lowest unemployment level a healthy economy can sustain without causing inflation.
Option 1: Structural
Option 2: Disguised
Option 3: Natural
Option 4: Frictional
Correct Answer: Natural
Solution : The correct answer is Natural.
Natural unemployment is the lowest unemployment level a healthy economy can sustain without causing inflation. It is the lowest unemployment rate that can be sustained without causing growth in wages or inflation to rise. A low unemployment rate indicates
Question : What is the objective of the Kyoto Protocol?
Option 1: To abolish child labour
Option 2: To eliminate nuclear weapons
Option 3: To increase ground water levels
Option 4: To reduce greenhouse gases
Correct Answer: To reduce greenhouse gases
Solution : The correct option is To reduce greenhouse gases.
The Kyoto Protocol is an international convention that aims to address climate change by establishing enforceable targets for industrialized countries to reduce greenhouse gas emissions. It was enacted on December 11, 1997, in
Question : Direction: A train runs for 2 hrs at the speed of 40 km/h and then runs for 4½ hrs at the speed of 6 km/h and then runs for 3½ hrs, at the speed of 70 km/h. Find the average speed of the train.
Option 1: 59.5 km/h
Option 2: 80 km/h
Option 3: 56.87 km/h
Option 4: 57.1 km/h
Correct Answer: 59.5 km/h
Solution : Average speed = Total distance covered ÷ Total time taken
Total distance covered:– = {(2 × 40) + (9/2 × 60) + (7/2 × 70)} km = {80 + 270 + 245} km = 595 km
Total time taken:– = 2 + 9/2 +
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