An introductory placement practice set covering numbers, reasoning, language and technical concepts. Write down your answers, then open each explanation to check your reasoning.
AISEA-authored practice · Version 1.0 · Published 12 October 2026
Allow about 20 minutes. Choose one answer per question. You can give yourself one point per correct answer with no deduction for a wrong or skipped answer. Revisit the linked topic whenever an explanation reveals a gap.
This page does not save answers or a score. It is a self-check, not an official recruitment paper or a predictor of placement outcomes. The suggested time is a practice guide.
Quantitative aptitude · Percentages
1. A college invites 240 students to a workshop. If 35% register, how many students register?
72
84
96
156
Check answer 1 and explanation
Answer B: 84
35% of 240 = 35 / 100 x 240 = 84 students. The percentage is applied to all 240 invited students.
2. A kit costs Rs. 1,500 before a discount. A 20% discount is applied, then 10% tax is charged on the discounted price. What is the final price?
Rs. 1,200
Rs. 1,290
Rs. 1,320
Rs. 1,350
Check answer 2 and explanation
Answer C: Rs. 1,320
After the discount: 1,500 x 0.80 = Rs. 1,200. Tax is 1,200 x 0.10 = Rs. 120. The final price is 1,200 + 120 = Rs. 1,320. Tax is applied to the discounted price.
6. All tutors are mentors. No mentors are visitors. Which conclusion must follow from these statements?
All visitors are tutors.
Some tutors are visitors.
No tutors are visitors.
All mentors are tutors.
Check answer 6 and explanation
Answer C: No tutors are visitors.
Every tutor belongs to the mentor group. The mentor and visitor groups do not overlap, so a tutor cannot be a visitor. The statements do not say that every mentor is a tutor.
7. Starting at a gate, Mira walks 6 metres east and then 8 metres north. What is the straight-line distance from the gate to her final position?
2 metres
10 metres
14 metres
48 metres
Check answer 7 and explanation
Answer B: 10 metres
The two walks form perpendicular sides of a right triangle. The straight-line distance is the square root of (6 x 6 + 8 x 8) = the square root of 100 = 10 metres. The distance walked, 14 metres, is different.
9. Choose the word that completes the sentence correctly: The list of workshop topics ___ on the noticeboard.
are
were
is
have
Check answer 9 and explanation
Answer C: is
The subject is the singular noun 'list', so the verb must be 'is'. The plural noun 'topics' belongs to the phrase 'of workshop topics' and does not determine the verb.
10. Notice: 'Monday's workshop will begin at 3 pm instead of 2 pm. The venue remains Hall B.' Which statement is directly supported by the notice?
The workshop has been cancelled.
The workshop starts one hour later in the same hall.
The workshop has moved to Hall C.
The workshop will last one hour.
Check answer 10 and explanation
Answer B: The workshop starts one hour later in the same hall.
Moving the start from 2 pm to 3 pm makes it one hour later. 'The venue remains Hall B' confirms that the hall is unchanged. The notice gives no duration.
12. Which sentence has correct subject and verb agreement?
Each of the participants has a workbook.
Each of the participants have a workbook.
Each of the participants are given a workbook.
Each of the participants were ready.
Check answer 12 and explanation
Answer A: Each of the participants has a workbook.
'Each' takes a singular verb, so 'has' is correct. In the other options, 'have', 'are' and 'were' are plural forms; the corresponding singular forms would be 'has', 'is' and 'was'.
13. Which algorithm searches a sorted array by repeatedly halving the remaining search range?
Linear search
Bubble sort
Binary search
Selection sort
Check answer 13 and explanation
Answer C: Binary search
Binary search compares the target with the middle element and continues in the relevant half. Linear search checks elements in sequence. Bubble sort and selection sort reorder elements rather than search for a target.
14. A table named students has three rows. One row has NULL in its name column. What does SELECT COUNT(*) FROM students return?
0
1
2
3
Check answer 14 and explanation
Answer D: 3
COUNT(*) counts rows, including rows that contain NULL values. There are three rows, so it returns 3. COUNT(name) would count only rows with a non-NULL name.
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