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Caselets aptitude questions

Data buried in a paragraph — extract it, tabulate it, answer.

0 of 29 solved in this view

Formula sheetCaselets: the essentialsFormula sheetCaselets: the essentialsShow

  • Tabulate as you read. Turn the paragraph into a small table, one row per group, with columns for the headcount and each breakdown. Most errors come from answering off the paragraph.
  • Each percentage applies to its own base, in the order given: a quarter of the engineers is not a quarter of the staff.
  • Work out any missing category from the others: the rest = 100% − the stated shares.
  • An overall percentage = total favourable ÷ total, never the average of the group percentages.
  • Groups of different sizes need a weighted average, which leans towards the larger group.
  • Overlaps: at least one = A + B − both; neither = total − at least one; only A = A − both.
  • Slab pricing: charge each band at its own rate.
  • Unit chains: one step at a time, such as kilometres to litres to rupees.
  • Targets: what is left ÷ the time left.
  • When one percentage applies to every part, apply it once to the total; when it applies to part of a bill, split the bill first.
  • Ratio splits: find the value of one part once, then treat later changes as ordinary arithmetic.
  • Divide by the number of periods actually listed, and check that the parts add back to the stated total.

Example: of 600 members, 55% use the gym, 40% the pool and 20% both. At least one: 55 + 40 − 20 = 75%, which is 450.

Questions29

1

Staff in an office

An office employs 240 people. 60% work in engineering, and of those, one quarter are women. Among the remaining staff, half are women.

percentages

90s

Medium
2

Books in a library

A library holds 5,000 books. 40% are fiction, 35% are non-fiction, and the rest are reference.

percentages

90s

Medium
3

Revenue at two shops

Shop X sells 300 units at ₹40 each; Shop Y sells 250 units at ₹50 each. Both give a 10% discount on the listed price.

revenue

75s

Medium
4

Pass rates in two sections

Section A has 50 students of whom 80% passed. Section B has 30 students of whom 60% passed. What is the overall pass percentage across both sections?

weighted average

75s

Medium
5

Meeting a production target

A factory must produce 12,000 units in a month. In the first 18 days it produced 6,300 units. The month has 30 days.

rates

60s

Easy
6

Splitting a travel budget

A team's travel budget of ₹90,000 is split between flights, hotels and meals in the ratio 5 : 3 : 1.

ratio

105s

Hard
7

Admissions across three colleges

Three colleges admitted 1,200 students in all. College A took 40% of them, College B took 35%, and College C took the rest.

percentages

75s

Medium
8

The remaining college

Three colleges admitted 1,200 students in all. College A took 40%, College B took 35%, and College C took the rest. How many students did College C admit?

percentages

60s

Easy
9

Two shifts in a factory

A factory runs two shifts. The day shift has 120 workers producing 15 units each; the night shift has 80 workers producing 12 units each.

weighted average

90s

Medium
10

Profit across two products

A shop sells 200 units of product X at ₹50 each, on which its profit is 20% of the selling price, and 150 units of product Y at ₹80 each, on which its profit…

profit

105s

Medium
11

A survey of readers

In a survey of 500 people, 280 read newspaper A, 220 read newspaper B, and 90 read both. How many read neither newspaper?

set theory

75s

Medium
12

Readers of only one paper

In a survey of 500 people, 280 read newspaper A, 220 read newspaper B, and 90 read both. How many read only newspaper A?

set theory

45s

Easy
13

Splitting a project budget

A project budget of ₹4,80,000 is divided between design, build and testing in the ratio 3 : 5 : 4. Half of the testing budget is later moved to build.

ratio

105s

Hard
14

Attendance over a week

A training programme ran for 5 days. Attendance was 80, 92, 76, 88 and 84. Anyone attending on a given day counts once for that day.

average

60s

Easy
15

Meeting a sales target

A salesperson must sell 600 units in a quarter. In the first two months she sold 170 and 190 units.

targets

90s

Medium
16

Two departments, one average

A company has 40 employees in sales averaging ₹30,000 a month and 60 in engineering averaging ₹50,000. What is the average salary across the whole company?

weighted average

75s

Medium
17

A discount on part of the bill

A restaurant bill comes to ₹2,400. A 20% discount applies to the food portion of ₹1,500, and the rest of the bill is charged in full.

percentages

90s

Medium
18

Fuel cost for a fleet

A fleet of 12 vans each travels 150 km a day. Each van covers 10 km per litre, and fuel costs ₹100 per litre. What is the fleet's daily fuel cost?

rates

75s

Medium
19

Students in a hostel

A hostel houses 450 students. 60% are undergraduates and the rest postgraduates. Two-fifths of the undergraduates are women.

percentages

75s

Medium
20

Postgraduates in the hostel

A hostel houses 450 students, of whom 60% are undergraduates and the rest postgraduates. Half the postgraduates are women. How many postgraduate men are there?

percentages

60s

Easy
21

Books borrowed in a week

A library lent 1,200 books in a week. 35% were fiction, 25% non-fiction, and the rest reference.

percentages

90s

Hard
22

Output of two machines

Machine A produces 240 units in 8 hours; machine B produces 300 units in 10 hours. Both run for 6 hours. How many units do they produce together?

rates

75s

Medium
23

A tiered electricity bill

Electricity costs ₹5 per unit for the first 100 units and ₹8 per unit thereafter. A household uses 250 units. What is the bill?

rates

75s

Medium
24

Delegates at a conference

A conference had 800 delegates. 45% attended the morning session and 60% the afternoon session, while 25% attended both. How many attended neither session?

set theory

90s

Hard
25

Transport cost per unit

A firm ships 2,400 units in lorries carrying 150 units each. Each lorry trip costs ₹4,500. What is the transport cost per unit?

rates

90s

Medium
26

Marks across three papers

A candidate scored 72, 84 and 90 in three papers, each marked out of 100. The papers carry weights of 2, 3 and 5 respectively. What is the weighted average?

weighted average

90s

Hard
27

The busiest day

A shop was open for six days last week and sold 1,200 items in all.

caselet

45s

Easy
28

Average daily sales

A shop was open for six days last week and sold 1,200 items in all.

caselet

60s

Easy
29

Wednesday's share of the week

A shop was open for six days last week and sold 1,200 items in all.

caselet · percentage

60s

Medium

Showing 29 of 29

Caselets Aptitude Questions with Solutions

29 Caselets questions with hints, worked solutions and time targets — 7 easy · 17 medium · 5 hard.

  • Section: Data Interpretation
  • Questions: 29
  • By difficulty: 7 easy · 17 medium · 5 hard
  • Cost: Free, unlimited on every plan

Data buried in a paragraph — extract it, tabulate it, answer.

Caselets: the essentials

  • Tabulate as you read. Turn the paragraph into a small table, one row per group, with columns for the headcount and each breakdown. Most errors come from answering off the paragraph.
  • Each percentage applies to its own base, in the order given: a quarter of the engineers is not a quarter of the staff.
  • Work out any missing category from the others: the rest = 100% − the stated shares.
  • An overall percentage = total favourable ÷ total, never the average of the group percentages.
  • Groups of different sizes need a weighted average, which leans towards the larger group.
  • Overlaps: at least one = A + B − both; neither = total − at least one; only A = A − both.
  • Slab pricing: charge each band at its own rate.
  • Unit chains: one step at a time, such as kilometres to litres to rupees.
  • Targets: what is left ÷ the time left.
  • When one percentage applies to every part, apply it once to the total; when it applies to part of a bill, split the bill first.
  • Ratio splits: find the value of one part once, then treat later changes as ordinary arithmetic.
  • Divide by the number of periods actually listed, and check that the parts add back to the stated total.

Example: of 600 members, 55% use the gym, 40% the pool and 20% both. At least one: 55 + 40 − 20 = 75%, which is 450.

Questions

  1. Staff in an office Medium
    An office employs 240 people. 60% work in engineering, and of those, one quarter are women. Among the remaining staff, half are women.
  2. Books in a library Medium
    A library holds 5,000 books. 40% are fiction, 35% are non-fiction, and the rest are reference.
  3. Revenue at two shops Medium
    Shop X sells 300 units at ₹40 each; Shop Y sells 250 units at ₹50 each. Both give a 10% discount on the listed price.
  4. Pass rates in two sections Medium
    Section A has 50 students of whom 80% passed. Section B has 30 students of whom 60% passed. What is the overall pass percentage across both sections?
  5. Meeting a production target Easy
    A factory must produce 12,000 units in a month. In the first 18 days it produced 6,300 units. The month has 30 days.
  6. Splitting a travel budget Hard
    A team's travel budget of ₹90,000 is split between flights, hotels and meals in the ratio 5 : 3 : 1.
  7. Admissions across three colleges Medium
    Three colleges admitted 1,200 students in all. College A took 40% of them, College B took 35%, and College C took the rest.
  8. The remaining college Easy
    Three colleges admitted 1,200 students in all. College A took 40%, College B took 35%, and College C took the rest. How many students did College C admit?
  9. Two shifts in a factory Medium
    A factory runs two shifts. The day shift has 120 workers producing 15 units each; the night shift has 80 workers producing 12 units each.
  10. Profit across two products Medium
    A shop sells 200 units of product X at ₹50 each, on which its profit is 20% of the selling price, and 150 units of product Y at ₹80 each, on which its profit…
  11. A survey of readers Medium
    In a survey of 500 people, 280 read newspaper A, 220 read newspaper B, and 90 read both. How many read neither newspaper?
  12. Readers of only one paper Easy
    In a survey of 500 people, 280 read newspaper A, 220 read newspaper B, and 90 read both. How many read only newspaper A?
  13. Splitting a project budget Hard
    A project budget of ₹4,80,000 is divided between design, build and testing in the ratio 3 : 5 : 4. Half of the testing budget is later moved to build.
  14. Attendance over a week Easy
    A training programme ran for 5 days. Attendance was 80, 92, 76, 88 and 84. Anyone attending on a given day counts once for that day.
  15. Meeting a sales target Medium
    A salesperson must sell 600 units in a quarter. In the first two months she sold 170 and 190 units.
  16. Two departments, one average Medium
    A company has 40 employees in sales averaging ₹30,000 a month and 60 in engineering averaging ₹50,000. What is the average salary across the whole company?
  17. A discount on part of the bill Medium
    A restaurant bill comes to ₹2,400. A 20% discount applies to the food portion of ₹1,500, and the rest of the bill is charged in full.
  18. Fuel cost for a fleet Medium
    A fleet of 12 vans each travels 150 km a day. Each van covers 10 km per litre, and fuel costs ₹100 per litre. What is the fleet's daily fuel cost?
  19. Students in a hostel Medium
    A hostel houses 450 students. 60% are undergraduates and the rest postgraduates. Two-fifths of the undergraduates are women.
  20. Postgraduates in the hostel Easy
    A hostel houses 450 students, of whom 60% are undergraduates and the rest postgraduates. Half the postgraduates are women. How many postgraduate men are there?
  21. Books borrowed in a week Hard
    A library lent 1,200 books in a week. 35% were fiction, 25% non-fiction, and the rest reference.
  22. Output of two machines Medium
    Machine A produces 240 units in 8 hours; machine B produces 300 units in 10 hours. Both run for 6 hours. How many units do they produce together?
  23. A tiered electricity bill Medium
    Electricity costs ₹5 per unit for the first 100 units and ₹8 per unit thereafter. A household uses 250 units. What is the bill?
  24. Delegates at a conference Hard
    A conference had 800 delegates. 45% attended the morning session and 60% the afternoon session, while 25% attended both. How many attended neither session?
  25. Transport cost per unit Medium
    A firm ships 2,400 units in lorries carrying 150 units each. Each lorry trip costs ₹4,500. What is the transport cost per unit?
  26. Marks across three papers Hard
    A candidate scored 72, 84 and 90 in three papers, each marked out of 100. The papers carry weights of 2, 3 and 5 respectively. What is the weighted average?
  27. The busiest day Easy
    A shop was open for six days last week and sold 1,200 items in all.
  28. Average daily sales Easy
    A shop was open for six days last week and sold 1,200 items in all.
  29. Wednesday's share of the week Medium
    A shop was open for six days last week and sold 1,200 items in all.

Placement tests that ask caselets