Group 2/2A Grand Mock Test 2026 – Part B: Aptitude & Mental Ability (Q 76–100)

← Back

Group 2/2A Grand Mock Test 2026 – Part B: Aptitude & Mental Ability (Q 76–100) – 25 questions, subject: Model Test. Every question has the correct answer with a one-line explanation; tap "Show Answer". Free practice for TNPSC, UPSC, SSC, Bank and RRB exams – Shanmugam IAS Academy, Coimbatore.

Get daily current affairs & exam alerts – follow us YouTube WhatsApp Channel Telegram Channel Facebook Page Instagram
Share with friends & study groups
Link to this page from your website / blog (HTML code)
1.  
Q 76
Arrange the following in ascending order of their values:
P = 0.25 × 48
Q = 3/4 of 64
R = 18 ÷ 0.6
S = 7/8 of 40

Correct Answer: B [P, R, S, Q]

Explanation:

P = 12, R = 30, S = 35, Q = 48; so the ascending order is P, R, S, Q.

2.  
Q 77
Simplify: √1225 + 15² ÷ 9 − 8

Correct Answer: D [52]

Explanation:

35 + 225 ÷ 9 − 8 = 35 + 25 − 8 = 52.

3.  
Q 78
Consider the following statements about successive percentage changes in the price of an article:
1. An increase of 20% followed by a decrease of 20% gives a net decrease of 4%.
2. A decrease of 20% followed by an increase of 20% gives a net increase of 4%.
3. Two successive increases of 10% each give a net increase of 21%.
Which of the above statement(s) is/are correct?

Correct Answer: B [1 and 3 only]

Explanation:

100 → 120 → 96 (4% fall); 100 → 80 → 96 (also a 4% fall); 100 → 110 → 121 (21% rise).

4.  
Q 79
If A's salary is 25% more than B's salary, by what percent is B's salary less than A's salary?

Correct Answer: C [20%]

Explanation:

Let B = 100, A = 125; less by 25/125 × 100 = 20%.

5.  
Q 80
Find the greatest number which divides 398, 436 and 542 leaving remainders 7, 11 and 15 respectively.

Correct Answer: A [17]

Explanation:

HCF of 391, 425 and 527 = 17.

6.  
Q 81
Find the least number which, when divided by 12, 15, 20 and 54, leaves a remainder of 8 in each case.

Correct Answer: D [548]

Explanation:

LCM(12, 15, 20, 54) = 540; 540 + 8 = 548.

7.  
Q 82
Assertion (A): The HCF and LCM of two numbers are 12 and 336 respectively. If one of the numbers is 84, the other number is 48.
Reason (R): For any two natural numbers, the product of the numbers is equal to the product of their HCF and LCM.
Choose the correct answer.

Correct Answer: A [Both (A) and (R) are true, and (R) is the correct explanation of (A)]

Explanation:

By (R), other number = (12 × 336) ÷ 84 = 48; check: 84 × 48 = 4032 = 12 × 336.

8.  
Q 83
If A : B = 2 : 3 and B : C = 4 : 5, then A : B : C = ?

Correct Answer: B [8 : 12 : 15]

Explanation:

Make B equal: 2:3 = 8:12 and 4:5 = 12:15, so 8 : 12 : 15.

9.  
Q 84
₹7,800 is divided among A, B and C in the ratio 1/2 : 1/3 : 1/4. What is B's share?

Correct Answer: D [₹2,400]

Explanation:

Ratio = 6 : 4 : 3 (total 13); B = 7800 × 4/13 = ₹2,400.

10.  
Q 85
A sum of money amounts to ₹6,200 in 3 years and to ₹7,000 in 5 years at simple interest. Find the rate of interest per annum.

Correct Answer: A [8%]

Explanation:

SI per year = 800 ÷ 2 = 400; P = 6200 − 1200 = 5000; R = 400/5000 × 100 = 8%.

11.  
Q 86
Find the compound interest on ₹8,000 for 3 years at 10% per annum, compounded annually.

Correct Answer: B [₹2,648]

Explanation:

Amount = 8000 × (1.1)³ = 10,648; CI = 10,648 − 8,000 = ₹2,648.

12.  
Q 87
The difference between the compound interest (compounded annually) and the simple interest on a sum for 2 years at 5% per annum is ₹25. Find the sum.

Correct Answer: C [₹10,000]

Explanation:

Difference = P(R/100)² ⇒ 25 = P × 1/400 ⇒ P = ₹10,000.

13.  
Q 88
The length and breadth of a rectangle are in the ratio 5 : 3. If its perimeter is 96 m, find its area.

Correct Answer: C [540 sq. m]

Explanation:

2(5x + 3x) = 96 ⇒ x = 6; 30 m × 18 m = 540 sq. m.

14.  
Q 89
A metal cuboid of size 16 cm × 12 cm × 9 cm is melted and recast into a cube. Find the total surface area of the cube.

Correct Answer: A [864 sq. cm]

Explanation:

Volume = 1728 cu. cm ⇒ side 12 cm; TSA = 6 × 12² = 864 sq. cm.

15.  
Q 90
A can finish a work in 12 days and B in 18 days. They work together for 4 days, and then A leaves. In how many days will B finish the remaining work?

Correct Answer: D [8 days]

Explanation:

In 4 days 4 × 5/36 = 5/9 done; remaining 4/9 × 18 = 8 days.

16.  
Q 91
Find the next number in the series:
3, 8, 18, 38, 78, ?

Correct Answer: B [158]

Explanation:

Each term × 2 + 2: 78 × 2 + 2 = 158.

17.  
Q 92
Find the missing number in the series:
4, 9, 25, 49, 121, ?

Correct Answer: A [169]

Explanation:

Squares of prime numbers: 2², 3², 5², 7², 11², 13² = 169.

18.  
Q 93
In a certain code language, MANGO is written as NBOHP. How is APPLE written in that code?

Correct Answer: C [BQQMF]

Explanation:

Each letter moves one step forward (+1): A→B, P→Q, P→Q, L→M, E→F.

19.  
Q 94
Using the positions of letters in the English alphabet (A = 1, B = 2, …, Z = 26), if CAT = 24, then DOG = ?

Correct Answer: B [26]

Explanation:

CAT = 3 + 1 + 20 = 24; DOG = 4 + 15 + 7 = 26.

20.  
Q 95
Find the next letter in the series:
A, C, F, J, O, ?

Correct Answer: D [U]

Explanation:

Gaps are +2, +3, +4, +5, +6: O + 6 = U.

21.  
Q 96
A die has its faces numbered 1 to 6. In four different positions of this die, the faces seen adjacent to face 3 were 1, 2, 5 and 6. Which number is on the face opposite to 3?

Correct Answer: B [4]

Explanation:

A face has 4 adjacent faces; 1, 2, 5, 6 are adjacent, so 4 is opposite.

22.  
Q 97
Five friends P, Q, R, S and T sit in a row facing north. R is in the middle. P is at the extreme left end. T is to the immediate right of R. Q is not next to P.
Consider the following statements:
1. S sits next to Q.
2. S sits to the immediate left of R.
3. T sits between R and Q.
Which of the above statement(s) is/are correct?

Correct Answer: C [2 and 3 only]

Explanation:

Order from left: P, S, R, T, Q; S is not next to Q, so only 2 and 3 are correct.

23.  
Q 98
Pointing to a man, Kavitha said, "He is the son of the only son of my father's father." How is the man related to Kavitha?

Correct Answer: D [Brother]

Explanation:

Only son of her father's father = her father; his son = her brother.

24.  
Q 99
Ravi walks 10 km north from his starting point, turns right and walks 6 km. He turns right again and walks 18 km. How far is he now from his starting point?

Correct Answer: C [10 km]

Explanation:

Net 6 km east and 8 km south; distance = √(6² + 8²) = 10 km.

25.  
Q 100
Statements:
1. All pens are books.
2. All books are chairs.
Conclusions:
I. All pens are chairs.
II. Some chairs are pens.
Which conclusion(s) follow(s)?

Correct Answer: A [Both I and II]

Explanation:

Pens ⊂ books ⊂ chairs ⇒ I follows; II is the conversion of I, so it also follows. ➤ Group 2/2A Mains coaching (from 2nd week of Nov): https://www.shanmugamiasacademy.in/tnpsc-group-2-2a-mains/en

📘 TNPSC திறனறிவும் மனக்கணக்கு நுண்ணறிவும் (Aptitude & Mental Ability) – முழுமையான பாடநூல்
Here you get the answer with a one-line explanation. TNPSC திறனறிவு & காரணவியல் சிலபஸ் முழுவதும் · 14 அத்தியாயங்கள் + 2 அலகு மாதிரித் தேர்வுகள் · 357 பயிற்சி வினாக்கள் படிப்படியான தீர்வுடன் · மாதிரித் தாள்கள் (50 வினாக்கள்) · 14 மனவரைபடங்கள் · சூத்திரச் சுருக்கம், கணக்கு அட்டவணைகள்
Get the book – ₹199 ₹399 →
Score: 0 Answered: 0 / 0