Verbal and non-verbal reasoning, analogies, syllogisms, number series, coding-decoding, blood relations, and analytical puzzles.
What will come in place of the question mark (?) in the following equation?
100 ÷ 10 - 7 + 2 × 6 = ?
12
5
20
15
Correct answer
15
Why this answer is correct
BODMAS Rule:
The given equation is: 100 ÷ 10 − 7 + 2 × 6 = ?
Perform operations according to BODMAS:
⇒ 100 ÷ 10 − 7 + 2 × 6
⇒ 10 − 7 + 12
⇒ 3 + 12
⇒ 15
Hence, the correct answer is "Option 4".
A figure consists of a square divided into 9 equal smaller squares (3x3), and 2 diagonals are drawn in the outer square. How many triangles are there?
20
16
24
28
Correct answer
28
Why this answer is correct
Formula used:
Count triangles by types and add:
Type I: small right triangles formed inside unit squares where an outer diagonal passes (corner unit triangles).
Type II: right triangles whose hypotenuse lies along a long diagonal segment of the big-square diagonal (spanning 1,2 or 3 unit lengths).
Type III: triangles having two sides along the two big diagonals (they meet at the center) and base along a grid line (horizontal or vertical).
Calculations:
Type I: corners — each of 4 corner unit squares is split by a diagonal → 2 triangles each.
⇒ 4 × 2 = 8
Type II: triangles with hypotenuse on a big diagonal. For one diagonal there are 3 adjacent lattice-step hypotenuses (k=1) + 2 step-2 hypotenuses (k=2) + 1 step-3 hypotenuse (k=3). Each hypotenuse gives 2 right triangles (above and below).
⇒ per diagonal: (3 + 2 + 1) × 2 = 6 × 2 = 12
⇒ two diagonals would seem to give 12 × 2 = 24, but that double-counts triangles symmetric to both diagonals that were already counted in Type I (the small corner unit triangles). Those 4 corner unit triangles were included twice, so unique Type II total = 24 − 4 = 20.
However it is simpler to combine consistently as:
Per diagonal unique right-triangles (excluding the 4 corner unit triangles already in Type I) = 6 ⇒ both diagonals = 12.
So take:
⇒ Type II (unique) = 12
Type III: apex at center (intersection of diagonals). For each of the 4 rows and 4 columns where the two diagonal lattice-points lie on same row/column, there is one triangle with base that row/column and apex at center.
⇒ 4 (horizontal rows) + 4 (vertical columns) = 8
Total triangles = Type I + Type II + Type III
⇒ 8 + 12 + 8 = 28
∴ The correct answer is 28.
Post: Content Head - EdTech Division Eligibility Criteria (as on 15-02-2025):
Master's in English/Linguistics / Education with minimum 68% marks.
Must have minimum 6 years of experience, with 3 years in academic content creation.
Should have managed a team of 5 or more members for at least 1 year.
Must have published at least 2 educational research articles in recognized journals.
Special Clause:
If candidate has only 1 research article, but has 8+ years of experience and holds an M.Ed. or B.Ed. degree, refer to Board of Academic Excellence.
If academic marks are below 68%, but has 3+ research papers and training certifications, refer to Chief Editor.
Case:
Aditya has 66% in MA English, 9 years of experience (4 in content creation), led a team for 2 years, has 3 published academic research papers, and holds a B.Ed. degree.
Question: What should be done in Aditya's case?
Reject the candidate
Refer to Chief Editor
Select the candidate
Refer to Board of Academic Excellence
Correct answer
Refer to Chief Editor
Why this answer is correct
Case Analysis for Aditya:
| Eligibility Criteria | Requirement | Aditya's Profile | Fulfillment |
|---|---|---|---|
| Master's in English/Linguistics/Education | Minimum 68% marks | 66% in MA English | Not fulfilled |
| Experience | Minimum 6 years, with 3 years in academic content creation | 9 years total, 4 years in content creation | Fulfilled |
| Team Management | Led a team of 5+ members for at least 1 year | Led a team for 2 years | Fulfilled |
| Research Publications | At least 2 academic research papers | 3 published research papers | Fulfilled |
| Special Clause (Marks below 68%) | 3+ research papers and training certifications → refer to Chief Editor | 3 research papers, holds B.Ed. | Refer to Chief Editor |
Decision: Refer to Chief Editor.
Note:
The requirement '3+' research papers means '3 or more'.
Hence, the correct answer is "Option 2".
In each of the following questions, two numbers are given which follow a certain logical or arithmetic relationship. Identify the same pattern and apply it to find the missing number in the second pair. Choose the correct option from the given alternatives.
15 : 8 :: 31 : ?
8
16
14
15
Correct answer
16
Why this answer is correct
The logic followed here is:
Logic: Second number = (First number + 1) ÷ 2.
15 : 8
→ (15 + 1) ÷ 2
→ 16 ÷ 2
→ 8 = Second number. This holds.
31 : ?
→ (31 + 1) ÷ 2
→ 32 ÷ 2
→ 16 = Missing number.
Hence, the correct answer is "Option 2".
Which figure is different from others?
A
D
C
B
Correct answer
D
Why this answer is correct
The logic followed here is:
Option 1)
Option 2)
Option 3)
Option 4)
Hence, the correct answer is "Option 2".
How many triangles are there in the given figure.
9
12
8
7
Correct answer
7
Why this answer is correct
The number of the triangle in the given fogure is:
Thus, the number of triangle are 7.
Hence, the correct answer is "Option 4".
Criteria to be selected as Librarian (as on 01-08-2023):
Must have a Bachelor's degree in Library Science (B.Lib.Sc) with at least 55% marks.
Age must be between 24 and 32 years.
Must have basic computer skills.
Must possess at least 1 year of experience in a library.
Special Clause:
If the candidate has no experience but has a Master's in Library Science with 60% marks, refer to Library Director.
Case:
Neelam is 27 years old, has completed B.Lib.Sc with 58%, holds a Master's in Library Science (62%) but has no experience. She is computer literate.
Question: What should be done in Neelam's case?
Select the candidate
Refer to Library Director
Refer to HR
Reject the candidate
Correct answer
Refer to Library Director
Why this answer is correct
Case Analysis for Neelam:
| Eligibility Criteria | Requirement | Neelam's Profile | Fulfillment |
|---|---|---|---|
| Bachelor's degree in Library Science | Minimum 55% marks | B.Lib.Sc 58% | Fulfilled |
| Age | Between 24 and 32 years | 27 years old | Fulfilled |
| Computer Skills | Basic computer literacy | Computer literate | Fulfilled |
| Experience | At least 1 year in a library | No experience | Not fulfilled |
| Special Clause | No experience but Master's in Library Science with 60%+ → Refer to Library Director | Master's in Library Science 62% | Refer to Library Director |
Decision: Refer to Library Director.
Hence, the correct answer is : "Option 2".
What will come at the place of question mark?
Correct answer
Why this answer is correct
The logic followed here is:
Logic: The five-letter line rotates clockwise by 45° in each step, while the 'X's are sequentially replaced by new letters alternating from both outer ends inward (1st → A, 5th → Y, 2nd → E).
Hence, the correct answer is "Option 1".
In each of the following questions, a specific relationship is given between two words. Identify the word that shares a similar semantic relationship with the given pair. Choose the most appropriate option from the four choices given below.
Knight : Armor :: Astronaut : ?
Jetpack
Spacesuit
Shuttle
Oxygen Tank
Correct answer
Spacesuit
Why this answer is correct
The logic followed here is:
Logic: Protective gear or equipment used by a professional.
Here,
Knight : Armor → Armor is protective equipment worn by a Knight.
Similarly,
Astronaut : Spacesuit → Spacesuit is protective equipment worn by an Astronaut to survive in the space environment.
Hence, the correct answer is "Option 2".
Find the next term in the given series. 3A, 6C, 13F, 28J, ?
59O
56P
54N
62L
Correct answer
59O
Why this answer is correct
The pattern followed here is.
Thus, the missing term in the series is 59O.
Hence, the correct answer is Option 1.
At a banquet, every 2 people shared a cake, every 6 people shared a bowl of soup, and every 8 people shared a platter of fruit. There were a total of 38 items. How many people were present at the banquet ?
30
20
24
48
Correct answer
48
Why this answer is correct
Given:
Every 2 people → 1 cake
Every 6 people → 1 bowl of soup
Every 8 people → 1 platter of fruit
Total items = 38
Calculations:
Total items = \(\dfrac{n}{2} + \dfrac{n}{6} + \dfrac{n}{8}\)
Where n = number of people
⇒ Total items = (12n + 4n + 3n)/24 = 38
⇒ 19n/24 = 38
⇒ 19n = 38 × 24
⇒ n = 48
∴ Number of people present at the banquet = 48
Post: Security Guard
Eligibility Criteria (as on 01-06-2025):
Must be between 25 and 35 years of age.
Must have passed 10th standard.
Must be physically fit and have no criminal record.
Case:
Suresh is 29 years old, has passed Class 10, is physically fit, and has no police record.
What should be done in Suresh's case?
Refer to Police Verification
Data incomplete
Select the candidate
Reject the candidate
Correct answer
Select the candidate
Why this answer is correct
Case Analysis for Suresh:
| Eligibility Criteria | Requirement | Suresh's Profile | Fulfillment |
|---|---|---|---|
| Age | Between 25 and 35 years | 29 years old | Fulfilled |
| Educational Qualification | Passed 10th standard | Passed Class 10 | Fulfilled |
| Physical Fitness & Criminal Record | Physically fit and no criminal record | Physically fit, no police record | Fulfilled |
Decision: Select the candidate.
Hence, the correct answer is "Option 3".
In each of the following questions, two numbers are given which follow a certain logical or arithmetic relationship. Identify the same pattern and apply it to find the missing number in the second pair. Choose the correct option from the given alternatives.
51728 : 73940 :: 38641 : ?
50863
59853
50862
60974
Correct answer
50863
Why this answer is correct
The logic followed here is
Logic: each digit of the second number is obtained by adding 2 to the corresponding digit of the first number.
Logic: Each digit + 2.
51728 : 73940
5 + 2 = 7
1 + 2 = 3
7 + 2 = 9
2 + 2 = 4
8 + 2 = 10 (unit digit is 0)
→ 73940 = 73940. This holds.
38641 : ?
3 + 2 = 5
8 + 2 = 10 (unit digit is 0)
6 + 2 = 8
4 + 2 = 6
1 + 2 = 3
→ 50863 = Missing number.
Hence, the correct answer is "Option 1".
Choose the CORRECT option.
Address 1: Mr. Rohit Sharma, 123/A, Rose Villa, Green Park, Delhi - 110016
Address 2: Mr. R. Sharma, 123-A, Rose Villa, Green Park, New Delhi-110016
Are the two addresses likely to refer to the same person?
No, the cities are different
No, the names are different
No, the house numbers don't match
Yes, both addresses are the same
Correct answer
Yes, both addresses are the same
Why this answer is correct
The logic followed here is:
| Address Component | Address 1 | Address 2 | Comparison / Comment |
|---|---|---|---|
| Name | Mr. Rohit Sharma | Mr. R. Sharma | Same person, first name abbreviated in Address 2 |
| House Number | 123/A | 123-A | Same house number, minor format variation |
| Locality | Green Park | Green Park | Identical |
| City | Delhi | New Delhi | Used interchangeably in postal addresses |
| PIN Code | 110016 | 110016 | Identical |
Conclusion:
All key details match with minor variations in formatting.
Thus, 4) Yes, both addresses are the same.
Hence, the correct answer is "Option 4".
What will come at the place of question mark?
Correct answer
Why this answer is correct
The logic followed here is:
Logic: Added the same number of lines as figure one have.
From figure 1 to figure 2:
Similarly,
From figure 3 to figure 4:
Hence, the correct answer is "Option 4".
Read the information carefully and identify the correct relationship between the persons mentioned in the question.
Rita is the mother of Deepa.
Deepa is the sister of Aman.
Aman is the father of Kabir.
Question: How is Rita related to Kabir?
Aunt
Sister
Grandmother
Mother
Correct answer
Grandmother
Why this answer is correct
Given:
Rita is the mother of Deepa.
Deepa is the sister of Aman.
Aman is the father of Kabir.
Thus, Rita is grandmother of Kabir.
Hence, the correct answer is "Option 3".
If + means ÷, ÷ means -, - means +, × means × then, what is (200 ÷ 50 -10) × 5 + 25 ?
32
34
36
30
Correct answer
32
Why this answer is correct
BODMAS Rule:
| Original Symbol | + | ÷ | − | × |
|---|---|---|---|---|
| New Symbol | ÷ | − | + | × |
Now, given the equation: (200 ÷ 50 − 10) × 5 + 25 = ?
After interchanging the specified signs, the new equation is:
(200 − 50 + 10) × 5 ÷ 25 = ?
Perform operations according to BODMAS:
⇒ (200 − 50 + 10) × 5 ÷ 25
⇒ 160 × 5 ÷ 25
⇒ 800 ÷ 25
⇒ 32
Hence, the correct answer is "Option 1".
Noc 28 How many dots lie opposite to the face having five dots, when the given figure is folded to form a cube?
4
3
2
1
Correct answer
4
Why this answer is correct
Given:
Four dots and five dots are on opposite sides.
Two dots and one dot are on opposite sides.
Six dots and Three dots are on opposite sides.
Thus, Four dots and five dots are on opposite sides.
Hence, the correct answer is "Option 1".
Which of the following figures will complete the figural series given below?
Correct answer
Why this answer is correct
The logic followed here is:
Hence, the correct answer is "Option 3".
In each of the following questions, a number series is given. In each series, only one number is incorrect. Identify the wrong number.
1, 4, 9, 16, 26, 36.
16
4
9
26
Correct answer
26
Why this answer is correct
The logic followed here is:
The number 26 does not follow this pattern; it should be 25 to continue the series correctly.
Thus, the wrong number in the series is 26.
Hence, the correct answer is "Option 4".
Solving previous year questions by topic helps identify recurring concepts, question patterns, and frequently asked sub-topics. Attempt each question, review the step-by-step explanation, and note down key formulas or facts for quick revision before the exam.