Search Previous Year Questions

The correct answer is Rekha Sharma.

Key Points

• The National Commission for Women (NCW) is a statutory body established in 1992 under the National Commission for Women Act, 1990.
• Its primary objective is to protect and promote the rights of women in India.
• Rekha Sharma was appointed as the chairperson of NCW in August 2018 for a period of three years.
• Her tenure was extended for another three years in August 2021, which means she will be the chairperson of NCW till August 2024.
• Rekha Sharma is a well-known social activist and women's rights advocate.
• She has been associated with various NGOs and advocacy groups working for women's empowerment and gender equality.
• As the chairperson of NCW, Rekha Sharma has been actively involved in addressing various issues related to women's safety, rights, and welfare.
• She has also been advocating for stricter laws and policies to ensure gender justice and equality in India.

Additional Information

• Dr. Girija Vyas was the chairperson of NCW from September 2013 to September 2018.
• Prior to that, she was a member of parliament and held various ministerial positions in the government of India.
• Mamta Sharma was the chairperson of NCW from August 2011 to September 2013.
• She was also a member of the Rajasthan Legislative Assembly and held various positions in the Congress party.

The correct answer is 0.8 Ω.

Key Points

• The resistance of a wire is directly proportional to its length and inversely proportional to its area of cross-section.
• Using the formula R = Ω (L/A), where Ω is the resistivity of the material, we can find the resistance of the second wire.
• Since the material is the same, the resistivity remains constant.
• Therefore, R2 = 1.0 Ω (4L/5A) = 4/5(L/A) = 4/5(R1) = 0.8 Ω.
• Hence, 0.8 Ω is the correct answer.

Additional Information

• The amount of obstruction to current passage in an electrical circuit is measured as resistance.
• Ohms, a unit of measurement for resistance, are represented by the Greek letter omega (Ω).
• The electric current flowing through a conductor between two places is directly proportional to the voltage across those same points, according to Ohm's law.

The correct answer is i - a, ii - d, iii - b, iv - e, v - c.

Key Points

• The modern periodic table consists of 18 groups and 7 periods.
• The K shell can hold a maximum of 2 electrons, the L shell can hold a maximum of 8 electrons, and the M shell can hold a maximum of 18 electrons.
• There are a total of 4 blocks in the periodic table: s, p, d, and f blocks.

Additional Information

• The definition of the modern periodic table is a table that shows the elements organized into groups and periods.
• The current periodic table arranges the elements in increasing order of atomic number.
• This periodic table is divided into groups and periods.
• The periods are arranged in horizontal rows.
• Vertical columns hold the arrangement of the groups.
• The modern periodic table has the elements listed in order from left to right.

The correct answer is Svamitva scheme.

Key Points

• The Survey of India and Assam State Government signed an MoU for the implementation of the Svamitva scheme in June 2021.
• Svamitva is a Central Sector Scheme launched by the Ministry of Panchayati Raj in April 2020.
• Its objective is to provide an integrated property validation solution for rural areas.
• The scheme aims to provide property cards to rural landowners, which will help them establish their ownership and access credit and other government services.
• The scheme also aims to survey all rural households and map their properties using drone technology, which will help in better planning and implementation of rural development programs.

Additional Information

• Mission Suraksha is a COVID-19 vaccination drive launched by the Indian government.
• A total of Rs. 900 Crore was allocated for the Mission's Phase-I over a 12-month period.
• The Department of Biotechnology (DBT) received the grant for the purpose of doing research and development (R&D) on Indian Covid-19 vaccines.
• Mission Sagar is a humanitarian mission launched by the Indian Navy.
• It aimed to provide assistance to friendly foreign countries during the COVID-19 pandemic.
• Sahakar Mitra Scheme is a scheme launched by the National Cooperative Development Corporation.
• It aimed to provide technical assistance to cooperatives in India.

The correct answer is washing soda.

Key Points

• Hardness of water refers to the presence of dissolved minerals, such as calcium and magnesium, in the water.
• These minerals can cause scaling in pipes, reduce the effectiveness of soaps and detergents, and leave spots on dishes and glasses.
• Washing soda, also known as sodium carbonate, is an effective water softener.
• It works by reacting with the dissolved minerals to form insoluble precipitates that can be removed by filtration or settling.

Additional Information

• Common salt is also known as sodium chloride.
• It actually increase the hardness of water by adding more dissolved ions.
• Vinegar is also known as acetic acid.
• While it can react with some minerals, it is not effective at removing calcium and magnesium ions.
• POP, or polyacrylamide-based polymer is primarily used as a flocculant to settle suspended particles in water.

Given equation: 6 × 40 ÷ 8 + 2 - 5 = 11 .

BODMAS Table: 

Let's check each option one by one.

Option 1) 8, 40

Given: 6 × 40 ÷ 8 + 2 - 5 = 11 

After interchanging the numbers we get;

⇒ 6 × 8 ÷ 40 + 2 - 5 = 11 

⇒ 6 × 0.2 + 2 - 5 = 11 

⇒ 1.2 + 2 - 5 = 11 

⇒ 3.2 - 5 = 11

⇒ -1.8 ≠ 11

⇒ LHS ≠ RHS

Option 2) 5, 6

Given: 6 × 40 ÷ 8 + 2 - 5 = 11 

After interchanging the numbers we get;

⇒ 5 × 40 ÷ 8 + 2 - 6 = 11 

⇒ 5 × 5 + 2 - 6 = 11 

⇒ 25 + 2 - 6 = 11 

⇒ 27 - 6 = 11

⇒ 21 ≠ 11

⇒ LHS ≠ RHS

Option 3) 2, 6

Given: 6 × 40 ÷ 8 + 2 - 5 = 11 

After interchanging the numbers we get;

⇒ 2 × 40 ÷ 8 + 6 - 5 = 11 

⇒ 2 × 5 + 6 - 5 = 11 

⇒ 10 + 6 - 5 = 11 

⇒ 16 - 5 = 11 

⇒ 11 = 11

⇒ LHS = RHS

Option 4) 2, 5

Given: 6 × 40 ÷ 8 + 2 - 5 = 11 

After interchanging the numbers we get;

⇒ 6 × 40 ÷ 8 + 5 - 2 = 11 

⇒ 6 × 5 + 5 - 2 = 11 

⇒ 30 + 5 - 2 = 11 

⇒ 35 - 2 = 11 

⇒ 33 ≠ 11

⇒ LHS ≠ RHS

Hence, the correct answer is "Option 3".

The logic followed here is:

So, 'MVY108' will replace the question mark in the given series.

Hence, the correct answer is "Option 2".

Shortcut Trick For any quadratic equation ax2 + bx + c = 0, the nature of roots depends on the Discriminant (D) = b2 − 4ac. In 2(p + q)2x2 + 2(p + q)x + 1 = 0, let (p + q) = k. Then, D = (2k)2 − 4(2k2)(1) = 4k2 − 8k2 = −4k2. Since the square of any real number k is non-negative (k2 ≥ 0), −4k2 will always be less than 0 (assuming k ≠ 0). As D < 0, the roots are always Imaginary. ∴ The correct answer is Imaginary roots.

Alternate Method Given Equation: 2(p + q)2x2 + 2(p + q)x + 1 = 0 Formula Used: For a quadratic equation ax2 + bx + c = 0:

1. If D = b2 − 4ac > 0, roots are real and distinct.
2. If D = b2 − 4ac = 0, roots are real and equal.
3. If D = b2 − 4ac < 0, roots are imaginary. Calculations: Identify the coefficients from the given equation: a = 2(p + q)2 b = 2(p + q) c = 1 Now, calculate the Discriminant (D): ⇒ D = b2 − 4ac ⇒ D = [2(p + q)]2 − 4 × [2(p + q)2] × 1 ⇒ D = 4(p + q)2 − 8(p + q)2 ⇒ D = −4(p + q)2 Analysis of the sign of D: ⇒ For any real values of p and q, (p + q)2 is always positive or zero. ⇒ If (p + q) = 0, the equation becomes 1 = 0 (not a quadratic), so (p + q) ≠ 0. ⇒ Thus, (p + q)2 > 0, which means −4(p + q)2 < 0. ⇒ Since D < 0, the roots of the equation are Imaginary. ∴ The correct answer is Imaginary roots.

Additional Information Discriminant (D) It is the part of the quadratic formula under the square root, D = b2 − 4ac, which determines the nature and number of roots. Nature of Roots for Real Coefficients When D > 0 and a perfect square, roots are Rational and Distinct. When D > 0 and not a perfect square, roots are Irrational conjugates. Sum and Product of Roots For ax2 + bx + c = 0, Sum of roots (α + β) = −b/a and Product of roots (αβ) = c/a. Complex Conjugate Roots If a quadratic equation has real coefficients and one root is imaginary (a + ib), the other root must be its conjugate (a − ib).

The correct answer is Both (ii) and (iii).

Key Points

• A concave mirror is a reflective surface that curves inward, and the reflecting surface is on the inner side of the curve.
• The center of the curve is known as the focus.
• When an object is placed at the focus of a concave mirror, the reflected rays diverge and do not intersect.
• However, if an object is placed beyond the focus, the reflected rays converge to form a real image.
• When an object is placed at infinity, the reflected rays are parallel, and they converge at the focus after reflection.
• As a result, an image is formed at the focus, but it is not a real image.
• It is a virtual image.
• When an object is placed beyond the focus of a concave mirror, the reflected rays converge to form a real image.

Additional Information

• When an object is placed between the focus and the pole of a concave mirror, the reflected rays converge to form a real image.
• When an object is placed at the focus of a concave mirror, the reflected rays are parallel, and they do not converge to form a real image.
• A real image is formed when the reflected rays converge to a point after reflection.
• It can be captured on a screen and is always inverted.
• A virtual image is formed when the reflected rays appear to converge to a point but do not actually do so.
• It cannot be captured on a screen and is always upright.

Shortcut Trick

Net work done by one filling pipe (a) and one emptying pipe (b) is given by: Time = (a × b) ÷ (b − a).

Time = (20 × 60) ÷ (60 − 20)

Time = 1200 ÷ 40 = 30 min.

∴ The correct answer is 30 min.

Alternate Method

Given: Filling time = 20 min, Emptying time = 60 min.

Formula: Total Work = LCM of individual times; Efficiency = Total Work ÷ Time.

⇒ Combined Efficiency = 3 − 1 = 2 units/min.

⇒ Time taken = Total Work ÷ Combined Efficiency

⇒ Time = 60 ÷ 2 = 30 min.

∴ The correct answer is 30 min.

Additional Information

Inlet and Outlet Pipes

An Inlet pipe fills the tank (positive work), while an Outlet pipe empties the tank (negative work).

Net Rate of Filling

If pipe A fills in 'x' hours and pipe B empties in 'y' hours (where y > x), the net part filled in 1 hour is (1/x − 1/y).

Pipes and Cisterns Logic

This concept is identical to Time and Work, where efficiency is replaced by the rate of flow of water.