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Given:

Carpenter A makes 1 chair in 6 hours, Carpenter B makes 1 chair in 7 hours and Carpenter C makes 1 chair in 8 hours.

Formula Used:

M × D = total work; M = number of men, D = number of days

Calculation:

⇒ number of chairs made by carpenter A in 8 hr = 8/6 = 4/3 

⇒ number of chairs made by carpenter A working 8 hr a day in 21 days = 4/3 × 21 = 28

⇒ number of chairs made by carpenter B in 8 hr = 8/7 unit

⇒ number of chairs made by carpenter B working 8 hr a day in 21 days = 8/7 × 21 = 24

⇒ number of chairs made by carpenter C in 8 hr = 1 unit

⇒ number of chairs made by carpenter C working 8 hr a day in 21 days = 21 

⇒ total number of chairs made by them = (28 + 24 + 21) = 73

The pattern followed here is:

According to the alphabetical positions of the letters,

Similarly,

Hence, ‘QRSU’ is the correct answer.

Republic Day of India in 1980 fall on Saturday

26.01.1980 – Saturday

03.03.1980 – X was born

Y is 4 days older to X

So, Y was born on 28^th February.

Number of odd days between 26^th January to 28^th February = 5 + 0

= 5

5 days after Saturday is Thursday.

Hence, ‘Thursday’ is the correct answer.

The logic is:

1^st row: (5 × 1) + (6 × 1) = 11

2^nd row: (6 × 4) + (3 × 2) = 30

Similarly,

3^rd row: (3 × 5) + (4 × 3) = ?

→ 15 + 12 = ?

→ 27 = ?

Hence, ‘27’ is the correct answer.

Five years back, the ratio of ages of A and B was 4 : 5.

Let us express the age of A and B in terms of ‘a’.

So, A = 4a years and B = 5a years.

Present age of A is 29 years.

So, 5 years back, A’s age was (29 – 5) = 24 years.

∴ 4a = 24

→ a = 6

So, age of B = 5a = 5 × 6 = 30 

Five years back age of B was 30 years.

So, present age of B = 30 + 5 = 35 years.

Hence, ‘35’ is the correct answer.

Given:

x = 2 + 1/3 + 2/3 = 3

Calculation:

\(x^3 - 6x^2 + 6x\)    .....(i)

putting the value of x = 3 in equation (i), we get

⇒ 3³ - 6 × 3² + 6 × 3

⇒ 27 - 54 + 18

⇒ -9

∴ required value = -9

Given:

Two chords AB and CD of a circle intersect at a point P outside the circle and ∠PAC = 50°.

Concept Used: 

for a cyclic quadrilateral, sum of opposite angle is always 180°

Calculation:

⇒ ∠PAC + ∠BAC = 180°

⇒ ∠BAC = 180° - 50° = 130°

⇒ ∠PDB + ∠BAC = 180°

⇒ ∠PDB = 180° - 130° = 50°

∴ required value = 50°

Given:

the H.C.F. and L.C.M. of two numbers are 21 and 84 respectively and the ratio of numbers is 1:4

Formula Used:

H.C.F. × L.C.M. = product of two number

Calculation:

Let the smaller and larger number be 'x' and '4x' respectively

⇒ x × 4x = 21 × 84

⇒ 4x² = 21 × 84

⇒ x = 21

∴ required larger number = 4x = 21× 4 = 84

The correct answer is Tamil Nadu.

• Tamil Nadu topped in Good Governance Index 2019.
• The States and Union Territories were divided into 3 groups namely Big states, North East and hill states and union territories.

Key Points

• Tamil Nadu topped in Good Governance Index in the “Big States” category.
• It was followed by Maharashtra, Karnataka, Chhattisgarh and Andhra Pradesh.
• In the North East and hill states category, Himachal Pradesh ranked first.
• It was followed by Uttarakhand, Tripura, Mizoram and Sikkim.
• In the union territories category, Pondicherry has got the first position.
• It was followed by Chandigarh, Delhi, Daman and Diu, Andaman and Nicobar Islands, Dadra and Nagar Haveli and Lakshadweep.

The correct answer is They are charged the same rates for all income groups.

Key Points

• A regressive tax is a type of tax that is levied regardless of income, in which low and high-income earners pay the same amount.
• This kind of tax is a bigger burden on low-income earners than high-income earners.
• The indirect taxes are paid by everyone if anyone buys any product irrespective of financial conditions.
• Regressive tax and Indirect taxes both are levied on everyone.
• Some examples of indirect taxes include sales tax, entertainment tax, excise duty, etc.