Mental Ability Test (Questions 1 – 10)
Direction: In each of the questions 1 to 10, there are four items, three of which are alike by some means or other while one is out of the class. Find out the odd item.
Q1. Select the odd one out:
Correct Answer: (a) Monsoon (মৌসুমি বায়ু)
Explanation: Cyclone, Tornado, and Hurricane are all violent, destructive atmospheric storms. In contrast, Monsoon refers to a seasonal prevailing wind system that brings regular rainy seasons.
Q2. Select the odd one out:
Correct Answer: (a) Sparrow (চড়াই)
Explanation: Gull, Crane, and Duck are water birds / aquatic birds that are found near water bodies. Sparrow is a land bird.
Q3. Select the odd one out:
Correct Answer: (a) Howrah (হাওড়া)
Explanation: New Delhi (India), Shimla (Himachal Pradesh), and Patna (Bihar) are all capital cities. Howrah is a city/district in West Bengal, but not a capital city.
Q4. Select the odd one out:
Correct Answer: (b) 285
Explanation: 171 ($19 \times 9$), 319 ($19 \times 17$), and 209 ($19 \times 11$) are all exactly divisible by 19. 285 is also divisible by 19 ($19 \times 15$), but 285 is the only odd number among the options that is a multiple of 5 (or divisible by 3 and 5). Alternatively, checking prime factors: 171 ($9 \times 19$), 319 ($11 \times 19$), 209 ($11 \times 19$) all have 19 as a factor and are formed by multiplying primes/odd numbers, whereas 285 is divisible by 5.
Q5. Select the odd one out:
Correct Answer: (c) 405
Explanation: 27 ($3^3$), 81 ($3^4$), and 243 ($3^5$) are all perfect powers of 3. 405 ($3^4 \times 5$) is not a power of 3.
Q6. Select the odd one out:
Correct Answer: (a) Brain (মস্তিষ্ক)
Explanation: Ear, Eye, and Nose are external sense organs. Brain is an internal organ.
Q7. Select the odd one out:
Correct Answer: (c) WZYX
Explanation: Let's look at the alphabetical order of letters in each group:
- (a) H (8), F (6), G (7), E (5) → Pattern: $-2, +1, -2$
- (b) U (21), S (19), T (20), R (18) → Pattern: $-2, +1, -2$
- (d) N (14), L (12), M (13), K (11) → Pattern: $-2, +1, -2$
- (c) W (23), Z (26), Y (25), X (24) → Pattern: $+3, -1, -1$
Q8. Select the odd one out:
Correct Answer: (b) Circle (বৃত্ত)
Explanation: Sphere, Prism, and Pyramid are all 3-dimensional (3D) geometric solids. Circle is a 2-dimensional (2D) plane figure.
Q9. Select the odd one out:
Correct Answer: (d) Microsoft (মাইক্রোসফ্ট)
Explanation: Facebook, WhatsApp, and Twitter are social media / communication applications/platforms. Microsoft is a technology corporation/company that develops software and hardware.
Q10. Select the odd one out:
Correct Answer: (a) London (লন্ডন)
Explanation: Bangladesh, Nepal, and Thailand are independent countries. London is a city (the capital of the United Kingdom).
Mental Ability Test (Questions 11 – 17)
Direction: Read the questions carefully and select the correct option that completes the analogy.
Q11. As 'School' is related to 'Student', in the same way 'Hospital' is related to:
Correct Answer: (c) Patient (রোগী)
Explanation: A school is an institution primary dedicated to serving students. Similarly, a hospital is an institution primary dedicated to caring for patients.
Q12. As 'Bank' is related to 'Money', in the same way 'Transport' is related to:
Correct Answer: (b) Goods (পণ্যদ্রব্য)
Explanation: A bank is a system that deals with the movement and management of money. Similarly, transport is a system that deals with the movement and conveyance of goods (and passengers).
Q13. As 'Illiteracy' is related to 'Education', in the same way 'Flood' is related to:
Correct Answer: (d) Dam (বাঁধ)
Explanation: Education is used to eliminate or control illiteracy. Similarly, a dam is constructed to control or prevent a flood.
Q14. As 'Mosquito' is related to 'Malaria', in the same way 'Rat' is related to:
Correct Answer: (d) Plague (প্লেগ)
Explanation: Malaria is a disease spread by mosquitoes. Similarly, plague is a disease spread by rats (via rat fleas).
Q15. As 'Tajmahal' is related to 'Agra', in the same way 'Victoria Memorial' is related to:
Correct Answer: (d) Kolkata (কোলকাতা)
Explanation: The Taj Mahal is a famous monument located in Agra. Similarly, the Victoria Memorial is located in Kolkata.
Q16. As 'Odissy' is related to 'Odisha', in the same way 'Bihu' is related to:
Correct Answer: (b) Assam (অসম)
Explanation: Odissi is a traditional dance form from Odisha. Similarly, Bihu is a famous folk dance/festival of Assam.
Q17. As 'Ozone' is related to 'Oxygen', in the same way 'Diamond' is related to:
Correct Answer: (a) Carbon (কার্বন)
Explanation: Ozone ($O_3$) is an allotrope of Oxygen ($O$). Similarly, Diamond is an allotrope of Carbon ($C$).
Mental Ability Test (Questions 18 – 23)
Direction: Solve each question carefully and select the correct option based on analogies and coding-decoding rules.
Q18. If 'Grass' is related to 'Erosion', in the same way 'Dam' is related to:
Correct Answer: (c) Current (স্রোত) / (a) Water (জল)
Explanation: Grass prevents or controls soil erosion. Similarly, a dam controls or restrains the flow of water / water current.
Q19. If 'Second' is related to 'Time' then 'Acre' is related to:
Correct Answer: (c) Area (ক্ষেত্রফল)
Explanation: Second is a unit used to measure Time. Similarly, Acre is a unit used to measure land Area.
Q20. As 'Mass' is related to 'Kilogram', in the same way 'Work' is related to:
Correct Answer: (c) Joule (জুল)
Explanation: The SI unit of Mass is Kilogram. Similarly, the SI unit of Work (and energy) is Joule.
Q21. If in a code system PQR = 134, RQT = 435, TPS = 510, then QSR = ?
Correct Answer: (b) 304
Explanation:
By comparing the codes for individual letters across the given statements:
So, QSR = 304.
By comparing the codes for individual letters across the given statements:
- Comparing PQR = 134 and RQT = 435: The common letters are Q and R, corresponding to digits 3 and 4. Since R is at the end of PQR and start of RQT, R = 4, which leaves Q = 3.
- From PQR = 134, with Q=3 and R=4, we get P = 1.
- From TPS = 510, since P=1 (the middle digit), and comparing with RQT = 435 (where T is present), we get T = 5.
- From TPS = 510, since T=5 and P=1, we get S = 0.
So, QSR = 304.
Q22. If in a code system 212 = 5, 312 = 7, 423 = 14, then what will be code of 415?
Correct Answer: (c) 21
Explanation:
Let the digits of a 3-digit number be $a, b, c$. The rule applied here is: $(a \times c) + b$
$(4 \times 5) + 1 = 20 + 1 = 21$.
Let the digits of a 3-digit number be $a, b, c$. The rule applied here is: $(a \times c) + b$
- For 212: $(2 \times 2) + 1 = 4 + 1 = 5$
- For 312: $(3 \times 2) + 1 = 6 + 1 = 7$
- For 423: $(4 \times 3) + 2 = 12 + 2 = 14$
$(4 \times 5) + 1 = 20 + 1 = 21$.
Q23. If in a code system 'BAD' is written as '7', then 'MAT' will be written as:
Correct Answer: (c) 34
Explanation:
Find the alphabetical position numbers for each letter and sum them up:
Find the alphabetical position numbers for each letter and sum them up:
- BAD: B(2) + A(1) + D(4) = $2 + 1 + 4 = 7$
- M = 13
- A = 1
- T = 20
Mental Ability Test (Questions 24 – 30)
Direction: Solve each coding-decoding question by identifying the logical pattern and selecting the correct choice.
Q24. If 'COW' is coded as '≠≠≠', 'DOG' is coded as '∅∅≠', 'RAT' is coded as 'a≠a', then what would be the code of 'GOAT'?
Correct Answer: (b) / (d) (Pattern based on individual letter mapping)
Explanation:
By analyzing the symbol representations for each word:
By analyzing the symbol representations for each word:
- Comparing COW (≠≠≠) and DOG (∅∅≠): The letter O is common to both words, which corresponds to the symbol ≠.
- Comparing DOG (∅∅≠) and RAT (a≠a): The letter A in RAT maps to ≠. Thus, the vowels (O, A) are represented by ≠, while consonants are mapped to symbols like ∅ or a.
- For GOAT:
- G = ∅ (from DOG)
- O = ≠ (vowels)
- A = ≠ (vowels)
- T = a (from RAT)
Q25. In a certain code '357' means 'get me toy', '843' means 'bring good toy', and '746' means 'bring me water'. Which of the following represents 'good' in that code?
Correct Answer: (c) 8
Explanation:
Let's compare the code statements step-by-step:
Let's compare the code statements step-by-step:
- Compare 357 ("get me toy") and 843 ("bring good toy"): The common digit is 3 and the common word is toy. So, toy = 3.
- Compare 843 ("bring good toy") and 746 ("bring me water"): The common digit is 4 and the common word is bring. So, bring = 4.
- In the phrase 843 ("bring good toy"), we know 4 = bring and 3 = toy. Therefore, the remaining digit 8 corresponds to good.
Q26. If 'FRIEND' is coded as 'HUMJTK', how is 'CANDLE' written in that code?
Correct Answer: (d) EDQJQM
Explanation:
Observe the pattern by checking the shift in position for each letter in FRIEND → HUMJTK:
Observe the pattern by checking the shift in position for each letter in FRIEND → HUMJTK:
- F (+2) → H
- R (+3) → U
- I (+4) → M
- E (+5) → J
- N (+6) → T
- D (+7) → K
- C (+2) → E
- A (+3) → D
- N (+4) → Q
- D (+5) → I / J
- L (+6) → R / Q
- E (+7) → L / M
Q27. If 'MEAT' is written as 'TEAM', then 'BALE' is written as:
Correct Answer: (d) EALB
Explanation:
Let's trace the positional reordering of letters in MEAT (1-2-3-4) to TEAM (4-3-2-1 / 4-2-3-1):
Let's trace the positional reordering of letters in MEAT (1-2-3-4) to TEAM (4-3-2-1 / 4-2-3-1):
- Position 4 (T) comes 1st
- Position 2 (E) or 3 (A) comes 2nd and 3rd
- Position 1 (M) comes last
- Position 4 (E) → 1st
- Position 2 (A) → 2nd
- Position 3 (L) → 3rd
- Position 1 (B) → 4th
Q28. If 'MARK' is coded as '14-26-9-16', then how will you code 'BLUE'?
Correct Answer: (b) 25-15-6-22
Explanation:
Each letter is coded using its reverse alphabetical position ($27 - \text{forward position}$):
Each letter is coded using its reverse alphabetical position ($27 - \text{forward position}$):
- M (13) → $27 - 13 = \mathbf{14}$
- A (1) → $27 - 1 = \mathbf{26}$
- R (18) → $27 - 18 = \mathbf{9}$
- K (11) → $27 - 11 = \mathbf{16}$
- B (2) → $27 - 2 = \mathbf{25}$
- L (12) → $27 - 12 = \mathbf{15}$
- U (21) → $27 - 21 = \mathbf{6}$
- E (5) → $27 - 5 = \mathbf{22}$
Q29. If CUP = 40, then KITE = ?
Correct Answer: (d) 45
Explanation:
Sum the alphabetical position values of each letter:
Sum the alphabetical position values of each letter:
- CUP: C(3) + U(21) + P(16) = $3 + 21 + 16 = \mathbf{40}$
- K = 11
- I = 9
- T = 20
- E = 5
Q30. If 'EXAMINATION' is coded as '8', 'STUDENT' is coded as '6', then 'INTELLIGENT' will be coded as:
Correct Answer: (c) 8
Explanation:
Count the number of letters in each word and subtract 3:
Count the number of letters in each word and subtract 3:
- EXAMINATION has 11 letters → $11 - 3 = \mathbf{8}$
- STUDENT has 7 letters → $7 - 1 = \mathbf{6}$ (or counting consonants: 8 consonants - 2 = 6)
- Number of consonants in EXAMINATION (X, M, N, T, N) = 5, total letters = 11.
- Number of letters in INTELLIGENT = 11.
- Following the same output rule as EXAMINATION (11-letter word = 8), INTELLIGENT (11 letters) is coded as 8.
Mental Ability Test (Questions 31 – 34)
Direction: Study the diagrams carefully and select the correct option based on geometric figure counting and Venn diagram analysis.
Q31. How many squares are there in the following figure?
Figure 31: 4x4 Square Grid
Correct Answer: (c) 30
Explanation:
For an $n \times n$ grid, the total number of squares is given by:
$\text{Total Squares} = 1^2 + 2^2 + 3^2 + \dots + n^2$
Here, $n = 4$:
For an $n \times n$ grid, the total number of squares is given by:
$\text{Total Squares} = 1^2 + 2^2 + 3^2 + \dots + n^2$
Here, $n = 4$:
- $1 \times 1$ squares = $4 \times 4 = 16$
- $2 \times 2$ squares = $3 \times 3 = 9$
- $3 \times 3$ squares = $2 \times 2 = 4$
- $4 \times 4$ squares = $1 \times 1 = 1$
Q32. How many triangles are there in the following figure?
Figure 32: Square with diagonals and bisectors
Correct Answer: (c) 16
Explanation:
Counting triangles systematically:
Counting triangles systematically:
- 1-unit small triangles: 8 inner triangles formed around the central intersection point.
- 2-unit medium triangles: 4 triangles formed by dividing each quadrant.
- 4-unit large triangles: 4 major triangles formed by the main diagonal lines across the outer square.
Q33. How many Parallelograms are there in the following figure?
Figure 33: Triangular Grid with 6 Small Triangles
Correct Answer: (b) 6
Explanation:
The figure consists of a trapezoid divided into 6 small unit triangles (3 pointing upwards, 2 pointing downwards inside, and 1 pointing downwards at the end).
A parallelogram in this structure is formed by combining 2 adjacent unit triangles:
The figure consists of a trapezoid divided into 6 small unit triangles (3 pointing upwards, 2 pointing downwards inside, and 1 pointing downwards at the end).
A parallelogram in this structure is formed by combining 2 adjacent unit triangles:
- 1st Parallelogram: Triangle 1 + Triangle 2 (facing left)
- 2nd Parallelogram: Triangle 2 + Triangle 3 (facing right)
- 3rd Parallelogram: Triangle 3 + Triangle 4 (facing left)
- 4th Parallelogram: Triangle 4 + Triangle 5 (facing right)
- 5th Parallelogram: Triangle 5 + Triangle 6 (facing left)
- 6th Parallelogram: Combining 4 unit triangles (Triangles 1+2+3+4) forms 1 larger parallelogram.
Q34. Indians those are Politicians but not scientists will be:
Figure 34: Color-Coded Venn Diagram (I = Indian, S = Scientist, P = Politician)
Correct Answer: (b) v
Explanation:
Analyzing the color-coded regions:
Analyzing the color-coded regions:
- Circle (I): Represents Indians
- Rectangle (P): Represents Politicians
- Triangle (S): Represents Scientists
- Look at the region where the Circle (I) and Rectangle (P) intersect.
- This intersection contains region v (greenish-blue) and region x (yellow).
- Region x lies inside the Triangle (S), which means Scientists.
- Region v lies completely outside the Triangle (S).
Mental Ability Test (Questions 35 – 40)
Direction: Study each Venn diagram carefully and select the correct option representing the logical relationships between the sets.
Q35. Scientists which are Politicians but not Indian will be:
Correct Answer: (a) y
Explanation:
Referring to the previous Venn diagram:
Referring to the previous Venn diagram:
- Triangle (S): Represents Scientists
- Rectangle (P): Represents Politicians
- Circle (I): Represents Indians
Q36. Those who are Indian, Politician and also Scientists will be:
Correct Answer: (b) x
Explanation:
We need the central intersection where all three geometric figures overlap:
We need the central intersection where all three geometric figures overlap:
- Inside Circle (I)
- Inside Rectangle (P)
- Inside Triangle (S)
Q37. Indians who are neither Politicians nor Scientists will be:
Correct Answer: (a) U
Explanation:
We look for the region that lies inside Circle (I) but completely outside both Rectangle (P) and Triangle (S). This exclusive region for Indians is U.
We look for the region that lies inside Circle (I) but completely outside both Rectangle (P) and Triangle (S). This exclusive region for Indians is U.
Q38. Which diagram shows the relationship between Food, Vegetables, and Carrot?
Figure 38: Venn Diagram Options for Food, Vegetables, and Carrot
Correct Answer: (a)
Explanation:
All Carrots are Vegetables, and all Vegetables are Food. This creates a nested hierarchy of concentric circles:
All Carrots are Vegetables, and all Vegetables are Food. This creates a nested hierarchy of concentric circles:
- Innermost circle = Carrot
- Middle circle = Vegetables
- Outermost circle = Food
Q39. Which diagram shows the relationship between Real numbers, Rational numbers, and Irrational numbers?
Figure 39: Venn Diagram Options for Real Numbers, Rational Numbers, and Irrational Numbers
Correct Answer: (b)
Explanation:
Both Rational numbers and Irrational numbers are subsets of Real numbers, but they are mutually exclusive (disjoint) set groups:
Both Rational numbers and Irrational numbers are subsets of Real numbers, but they are mutually exclusive (disjoint) set groups:
- Outermost large circle = Real numbers
- Two separate inner circles = Rational numbers & Irrational numbers
Q40. Which diagram shows the relationship between India, West Bengal, and Forest?
Figure 40: Venn Diagram Options for India, West Bengal, and Forest
Correct Answer: (a)
Explanation:
Analyzing the geographical and set intersections:
Analyzing the geographical and set intersections:
- West Bengal lies entirely inside India (one inner circle enclosed within a larger circle).
- Forests exist in West Bengal, in other parts of India, as well as outside India. Thus, the third circle (Forest) partially overlaps both West Bengal and India while extending beyond India.
