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A train has a length of 124 m and it has to pass under the tunnel that is 2.9 km long in 2 minutes. What should be the speed of the train?
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The correct answer is Option 2 i.e. 25.2 m/sec
Length of the tunnel = 2.9 km = 2900 m
Time taken to cross the tunnel = 2 minutes = 120 sec
Distance = Speed × Time
The length of the train = 124 m
Let the speed of the train be x m/sec
Total distance = 2900 m + 124 m = 3024 m
⇒ 3024 = 120x
x = 3024/120 = 25.2 m/sec
Find the odd one out.
The correct answer is option 4 i.e. G56V.
Logic: Add positional values of letters and reverse them.
The following pattern is followed here.
1. X92E = X (24) + E (5) = 29 = 92
2. S23M = S (19) + M (13) = 32 = 23
3. P33Q = P (16) + Q (17) = 33 = 33
4. G56V = G (7) + V (22) = 29 = 92 NOT 56
G56V is an odd one from these.
Hence, the correct answer is G56V.
Select the option that can replace the question mark (?) in the following series.
The correct answer is option 4
In a certain code, '+' means '÷', '÷' means '×', '×' means '-' and '-' means '+'. Then, find the value of the following equation.
10 - 50 + 5 ÷ 4 × 16 = ?
The correct answer is option 2 i.e. 34.
Given equation: 10 - 50 + 5 ÷ 4 × 16
'+' means '÷', '÷' means '×', '×' means '-' and '-' means '+'
The equation becomes: 10 + (50 ÷ 5) × 4 - 16
= 10 + (10 × 4) - 16
= (10 + 40) - 16
= 50 - 16
= 34
Hence, the correct answer is 34.
Which of the following passes links Manali and Lahaul?
The correct answer is option 2 i.e. Rohtang Pass.
More Info About Passes:-
In Mendeleev's periodic table, the properties of elements are viewed as a periodic function of their:
The correct answer is option 1 i.e. Atomic mass.
In Mendeleev's periodic table, the properties of elements are considered a periodic function of their atomic masses. Mendeleev arranged the elements in order of increasing atomic mass, observing that elements with similar chemical and physical properties appeared at regular intervals. This periodic recurrence of properties led him to formulate the periodic law, stating that the properties of elements are a periodic function of their atomic masses. However, the modern periodic table is based on atomic numbers rather than atomic masses.
Which of the following is the correct formula for the moment of inertia?
The correct answer is option 1 i.e. I = mr2.
The correct formula for the moment of inertia is I = mr², where I represent the moment of inertia, m is the mass of the object, and r is the distance from the axis of rotation. This formula applies specifically to a point mass rotating about an axis. For other shapes and configurations, the moment of inertia formula will vary depending on the mass distribution and axis of rotation.
What is the phenomenon where light waves cancel each other out, resulting in regions of darkness?
The correct answer is Option 1 i.e. Interference.
The phenomenon where light waves cancel each other out, resulting in regions of darkness, is known as interference. Interference occurs when two or more coherent waves overlap in space and time, leading to constructive or destructive interference patterns. Constructive interference enhances the amplitude of light waves, resulting in bright regions, while destructive interference causes the waves to cancel each other out, resulting in dark regions. This phenomenon is crucial in various applications, such as in interference patterns observed in thin film coatings, interferometers, and the study of wave behavior in optics and quantum mechanics.
Which type of glandular epithelium secretes its product directly into the bloodstream without the use of ducts?
The correct answer is Option 2 i.e. Endocrine glands.
Endocrine glands release hormones directly into the blood, which then carries these chemical messengers to target organs and tissues throughout the body. Unlike exocrine glands, which use ducts to transport their secretions to specific sites (like sweat or salivary glands), endocrine glands are ductless and include structures like the thyroid, adrenal glands, and pituitary gland.
If tan A = 12/5, the value of Sin A + 2Cos A × Cot A is?
The Correct answer is Option 1 i.e. 97/78.
Tan A = 12/5
In right-angled triangle, Tan A = Perpendicular/Base
So, Perpendicular = 12 and Base = 5
Now,
Hypotenuse2 = Perpendicular2 + Base2
⇒ H2 = 144 + 25
⇒ H = √169 = 13
Hence,
Sin A = P/H = 12/13
Cos A = B/H = 5/13
Cot A = 1/tan A = 5/12
Sin A + 2Cos A × Cot A = 12/13 + 2 × 5/13 × 5/12
⇒ Sin A + 2Cos A × Cot A = (144 + 50)/156
= 194/156
= 97/78
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