Quantitative Techniques Sample Questions for UG-CLAT 2020 (New Pattern)

1. The pie chart below shows the Indian Government’s interim budget allocation for the year 2019-2020 in percentage terms. All the questions below should be answered solely based on the pie chart below.
[Extracted from: https://www.capitalmind.in/2019/02/interimbudget-2019-a-quick-look-atwhere-government-spends/ ]

1.1 If the Government’s budgetary allocation for ‘Pension’ is Rs. 1.7 lakh crore, which of the following is the closest approximation of the total budget amount of the Government?

1. 1.  Rs. 27.16 lakh crore.
   2. Rs. 46.83 lakh crore.
   3. Rs. 10.64 lakh crore.
   4. Rs. 360.32 lakh crore.

(Answer: A)

Rationale:
The correct answer is (a) – Rs. 27.16 lakh crore, because if Rs. 1.7 lakh crore amounts to 6.26 percent of the total budget, then the total budget can be calculated as follows: [(1.7 lakh crore/6.26) x 100] = Rs. 27.156 lakh crore. Therefore, option (a) is the closest approximation of the total budget amount.

1.2 What percentage of the total budget has been earmarked for ‘Agriculture and Allied Activities’, ‘Subsidy-Fertilizer’ and ‘Subsidy-Food’, collectively?

1. 14.82%.
2. 14.56%.
3. 14.67%.
4. 14.7%.

(Answer: D)

Rationale:
The correct answer is (d) – 14.7%, because the total budget earmarked for Agriculture and Allied Activities, Subsidy-Fertilizer and Subsidy-Food is the sum of 5.39%, 6.62% and 2.69% which is 14.7%.

1.3 If the entire portion of the budget earmarked for Defence is split equally between ‘Transport’ and ‘Home Affairs’, what would be the new allocations for ‘Transport’ and ‘Home Affairs’ in percentage terms?

1. 16.58% (Transport) and 14.7% (Home Affairs).
2. 9.18% (Transport) and 11.06% (Home Affairs).
3. 14.72% (Transport) and 16.58% (Home Affairs).
4. 11.095% (Transport) and 9.215% (Home Affairs).

(Answer: D)

Rationale:
The correct answer is (d) – 11.095% (Transport) and 9.215% (Home Affairs). The budgetary allocation for ‘Defence’ is 10.97%, which when split equally into 2 halves will amount to 2 portions of 5.485%. If 5.485% is added to the pre-existing budgetary allocation for ‘Transport’ of 5.61%, the sum is 11.095% and if 5.485% is added to the pre-existing budgetary allocation for ‘Home Affairs’ of 3.73%, the sum is 9.215%.

1.4 What percentage (approximately) of the budgetary allocation for ‘Transfer to States’ is the budgetary allocation for ‘Pension’?

1. 8.16%.
2. 104.51%.
3. 95.69%.
4. 11.32%.

(Answer: B)

Rationale:
The correct answer is (b) –104.51%, because the percentage of the budgetary allocation for ‘Transfer to States’ that is represented by the budgetary allocation for ‘Pension’ is calculated as follows: (6.26/5.99) x 100) which is 104.507

2.At their wedding, Riz and Rekha received gifts amounting to a total of Rs. 1,00,000 – some of which was in cash and the rest was in the form of other articles. The cash received by them alone amounted to more than Rs. 35,000. All the cash received by them were by way of currency notes of the denominations of Rs. 2000, Rs. 500 and Rs. 200. When all the cash they received was pooled together, there were 10 notes of a certain denomination, 12 notes of a second denomination, and 16 notes of a third denomination. Riz and Rekha decided to spend an amount equal to the total value of the gifts received by them at their wedding (by way of cash and otherwise) in the ratio of 2:3 on buying a guitar and a sitar, respectively.
2.1 Which of the options below states the correct number of currency notes of each denomination received by Riz and Rekha?

1. 16 notes of Rs. 2,000; 12 notes of Rs. 500; and 10 notes of Rs. 200
2. 12 notes of Rs. 2,000; 10 notes of Rs. 500; and 16 notes of Rs. 200
3. 10 notes of Rs. 2,000; 12 notes of Rs. 500; and 16 notes of Rs. 200
4. 12 notes of Rs. 2,000; 16 notes of Rs. 500; and 10 notes of Rs. 200

(Answer: A)

Rationale:
The correct answer is (a) – 16 notes of Rs. 2,000; 12 notes of Rs. 500; and 10 notes of Rs. 200, which adds up to a total of Rs. 40,000. The configuration of notes in (b) would add up to Rs. 32,200. The configuration of notes in (c) would add up to Rs. 29,200. The configuration of notes in (d) would add up to Rs. 34,000. Therefore, none of the options other than (a) contains the configuration of notes that would make up for a sum of more than Rs. 35,000.
2.2 What percentage of the total value of the gifts received by Riz and Rekha was by way of
cash?

1. 35%
2. 65%
3. 50%
4. 40%

(Answer D)

Rationale:
The correct answer is (d) – 40%. Since Riz and Rekha received 16 notes of Rs. 2,000; 12 notes of Rs. 500; and 10 notes of Rs. 200 – which amounts to a total of Rs. 40,000, and Rs. 40,000 is 40% of Rs. 1,00,000, the correct answer is 40%.

2.3 Which of the following represents the correct amounts spent by Riz and Rekha on buying the guitar and the sitar?

1. Rs. 20,000 on the guitar and Rs. 30,000 on the sitar.
2. Rs. 40,000 on the guitar and Rs. 60,000 on the sitar.
3. Rs. 25,000 on the guitar and Rs. 35,000 on the sitar.
4. Rs. 80,000 on the guitar and Rs. 1,20,000 on the sitar.

(Answer B)

Rationale:
The correct answer is (b) – Rs. 40,000 on the guitar and Rs. 60,000 on the sitar. It is the only option in which the amounts spent on the guitar and the sitar add up to Rs. 1,00,000 and also conform to the ratio of 2:3.