"Numeracy & Data Interpretation" — Practice

Question 1

A shop's revenue grew from ₹8,00,000 to ₹9,60,000 in one year. What was the percentage growth?
(a) 20% (b) 16% (c) 25% (d) 18%

Accepted Answer

(a) 20%.

Growth = 9,60,000 − 8,00,000 = 1,60,000. Percentage growth = (1,60,000/8,00,000) × 100 = 20%. The original (old) value is always the denominator.

Question 2

A sum of ₹36,000 is divided between A and B in the ratio 7:5. How much does B receive?
(a) ₹15,000 (b) ₹21,000 (c) ₹18,000 (d) ₹12,000

Accepted Answer

(a) ₹15,000.

Total parts = 7 + 5 = 12. B's share = (5/12) × 36,000 = 15,000.

Question 3

A vendor buys 50 items at ₹80 each and sells all of them at ₹92 each. What is the profit percentage?
(a) 15% (b) 12% (c) 20% (d) 10%

Accepted Answer

(a) 15%.

CP per item = ₹80, SP per item = ₹92. Profit % = (92 − 80)/80 × 100 = 15%. Since both CP and SP scale by the same quantity (50 items), the per-unit percentage equals the total percentage.

Question 4

₹20,000 is invested at 5% per annum compound interest, compounded annually, for 2 years. What is the compound interest earned (not the total amount)?
(a) ₹2,050 (b) ₹2,000 (c) ₹2,100 (d) ₹1,950

Accepted Answer

(a) ₹2,050.

Year 1: 20,000 × 1.05 = 21,000. Year 2: 21,000 × 1.05 = 22,050. Compound interest earned = 22,050 − 20,000 = 2,050 (note this is ₹50 more than simple interest's 2,000, since Year 2 accrues interest on Year 1's interest too).

Question 5

A car covers a certain distance at 60 km/h in 3 hours. At what speed must it travel to cover the same distance in 2 hours?
(a) 90 km/h (b) 80 km/h (c) 75 km/h (d) 100 km/h

Accepted Answer

(a) 90 km/h.

Distance = 60 × 3 = 180 km. Speed for 2 hours = 180/2 = 90 km/h.

Question 6

A alone can complete a task in 15 days. A and B together can complete it in 10 days. In how many days can B alone complete the task?
(a) 30 days (b) 25 days (c) 20 days (d) 35 days

Accepted Answer

(a) 30 days.

Combined rate = 1/10 per day. A's rate = 1/15 per day. B's rate = 1/10 − 1/15 = 3/30 − 2/30 = 1/30 per day. So B alone takes 30 days.

Question 7

The average marks of 30 students in a class is 68. If one student's marks are corrected from 42 to 72, what is the new average?
(a) 69 (b) 68.5 (c) 70 (d) 69.5

Accepted Answer

(a) 69.

Original total = 30 × 68 = 2,040. Correction adds (72 − 42) = 30 to the total: 2,040 + 30 = 2,070. New average = 2,070/30 = 69.

Question 8

A table shows a company's annual sales (in ₹ crore): 2021: 45, 2022: 54, 2023: 60, 2024: 75. What was the percentage increase in sales from 2022 to 2024?
(a) ~39% (b) ~33% (c) ~45% (d) ~50%

Accepted Answer

(a) ~39%.

Increase = 75 − 54 = 21. Percentage increase = (21/54) × 100 ≈ 38.9%, closest to ~39%. Using 2022 (not 2021) as the base is essential, since the question specifically asks for the change from 2022 to 2024.

Question 9

Using the same sales table (2021: 45, 2022: 54, 2023: 60, 2024: 75, in ₹ crore), in which year was the year-on-year percentage growth the highest?
(a) 2024 (b) 2022 (c) 2023 (d) Growth was equal in all years

Accepted Answer

(a) 2024.

YoY growth: 2022 = (54−45)/45 ×100 = 20%. 2023 = (60−54)/54 ×100 ≈ 11.1%. 2024 = (75−60)/60 ×100 = 25%. The highest percentage growth (25%) occurred in 2024, even though the absolute increase in 2024 (15) is also the largest — both point to the same year here, but percentage growth and absolute increase can differ in general, so always calculate the specific quantity asked.

Question 10

A pie chart shows a state government's annual budget of ₹2,00,000 crore split as: Education 22%, Health 18%, Infrastructure 30%, Agriculture 15%, Others 15%. How much more is allocated to Infrastructure than to Health?
(a) ₹24,000 crore (b) ₹20,000 crore (c) ₹28,000 crore (d) ₹18,000 crore

Accepted Answer

(a) ₹24,000 crore.

Infrastructure = 30% of 2,00,000 = 60,000 crore. Health = 18% of 2,00,000 = 36,000 crore. Difference = 60,000 − 36,000 = 24,000 crore.

Question 11

A bar chart shows monthly rainfall (in mm) for a city: June: 180, July: 240, August: 210, September: 120. What is the average rainfall over these four months?
(a) 187.5 mm (b) 190 mm (c) 185 mm (d) 195 mm

Accepted Answer

(a) 187.5 mm.

Total = 180 + 240 + 210 + 120 = 750. Average = 750/4 = 187.5 mm.

Question 12

What is the age of Ravi's father?
Statement I: Ravi's father is 4 times as old as Ravi.
Statement II: Ravi's father was 30 years old when Ravi was born.
(a) Both statements together are sufficient, but neither alone is sufficient (b) Statement I alone is sufficient (c) Statement II alone is sufficient (d) Neither statement alone nor both together are sufficient

Accepted Answer

(a) Both statements together are sufficient, but neither alone is sufficient.

Statement I alone gives a ratio (father = 4 × Ravi), but not an absolute age without knowing Ravi's actual age. Statement II alone gives only the age gap (30 years), not either specific age. Together: let Ravi's age = x, father's age = 4x = x + 30, so 3x = 30, x = 10, father = 40. Both together allow the age to be determined uniquely.

Question 13

Is the number N divisible by 6?
Statement I: N is divisible by 3.
Statement II: N is divisible by 2.
(a) Both statements together are sufficient, but neither alone is sufficient (b) Statement I alone is sufficient (c) Statement II alone is sufficient (d) Either statement alone is sufficient

Accepted Answer

(a) Both statements together are sufficient, but neither alone is sufficient.

Divisibility by 6 requires divisibility by BOTH 2 and 3 (since 6 = 2 × 3, with 2 and 3 coprime). Statement I alone (divisible by 3) doesn't guarantee divisibility by 2 — e.g., 9 is divisible by 3 but not 6. Statement II alone (divisible by 2) doesn't guarantee divisibility by 3 — e.g., 8 is divisible by 2 but not 6. Together, both conditions guarantee divisibility by 6.

Question 14

If 12 workers can build a wall in 18 days, how many workers are needed to build the same wall in 9 days (assuming identical work rate per worker)?
(a) 24 (b) 20 (c) 18 (d) 27

Accepted Answer

(a) 24.

Total work = 12 workers × 18 days = 216 worker-days (constant). For 9 days: workers needed = 216/9 = 24.

Question 15

₹15,000 is invested at 8% per annum simple interest for 3 years. What is the total interest earned?
(a) ₹3,600 (b) ₹3,200 (c) ₹4,000 (d) ₹3,000

Accepted Answer

(a) ₹3,600.

Simple interest = (P × R × T)/100 = (15,000 × 8 × 3)/100 = 3,600. Unlike compound interest, simple interest is calculated on the original principal for every year, not on a growing balance.

Practice — "Numeracy & Data Interpretation"

Sign in to save attempts to your dashboard and track your accuracy over time

Find a verified tutor

Join a live course

Browse coaching centres

About

Categories

Support

Documentation

Get Study Tips & Updates

Download Our App

Download for iOS

Download for Android

Popular Cities