This article presents the complete set of questions extracted from the provided images, reorganized for clarity and sequential study. This collection is a valuable resource for JKSSB aspirants, covering Numerical Ability, General Reasoning, and English Grammar.
JKSSB Solved Question Paper: Complete Series by Home Academy
Section I: Mathematics & Numerical Ability
1. A rectangular garden measures 30 meters by 20 meters. A pathway of 2 meters width surrounds the garden. What is the perimeter of the outer boundary of the pathway?
A) 100 m
B) 116 m
C) 112 m
D) 120 m
Solution: (B) Outer length = 30+4=34\text{m}, Outer width = 20+4=24\text{m}. Perimeter = 2(34+24) = 116\text{m}.
2. A cuboidal box has a length of 12 cm, width of 8 cm, and height of 6 cm. If the box has no lid, what is its surface area?
A) 288 cm²
B) 336 cm²
C) 348 cm²
D) 384 cm²
Solution: (B) Area = (12 \times 8) + 2(12 \times 6 + 8 \times 6) = 96 + 240 = 336\text{ cm}^2.
3. A person is currently four times as old as his daughter, and after 15 years, the sum of their ages will be 100. What is the present age of the daughter?
A) 14 years
B) 12 years
C) 10 years
D) 16 years
Solution: (A) Let daughter be x, father 4x. (x+15) + (4x+15) = 100 \implies 5x + 30 = 100 \implies 5x = 70 \implies x = 14.
4. A sum of money is divided among A, B, and C in the ratio 3:4:5. If C's share is Rs. 300 more than B's, what is the total sum?
A) Rs. 2,400
B) Rs. 3,600
C) Rs. 3,000
D) Rs. 2,800
Solution: (B) Ratio difference between C and B is 5-4=1 unit. 1 unit = 300. Total sum (3+4+5) = 12 units. 12 \times 300 = 3,600.
5. What percent is 30 grams of 1kg?
A) 3%
B) 30%
C) 0.3%
D) 33%
Solution: (A) (30/1000) \times 100 = 3\%.
6. If the 6 digit number is 52164, then which smallest number from the options given, will be in the place of "" such that the 6 digit number is completely divisible by 3?
A) 1
B) 2
C) 3
D) 6
Solution: (A) Sum of digits 5+2+1+x+6+4 = 18+x. For divisibility by 3, 18+x must be divisible by 3. The smallest option is 0, but since 0 isn't an option, 3 would work, however, checking the math: 18+0 is divisible. Looking at options: 18+3=21. Actually, 18+0=18 is smallest. Correction: Sum is 18, so x can be 0 or 3. Option C is 3.
7. A Cylindrical tank has a volume of 924 cu.m, and its base diameter is 7m. Find the depth of the tank.
A) 6 m
B) 12 m
C) 24 m
D) 28 m
Solution: (C) V = \pi r^2 h \implies 924 = \frac{22}{7} \times 3.5 \times 3.5 \times h \implies h = 24\text{m}.
Section II: Logical & Analytical Reasoning
8. A person is facing east. They turn 90° clockwise, then 180° clockwise, and then 90° anti-clockwise. In which direction is the person facing now?
A) South
B) North
C) West
D) East
Solution: (C) Net rotation: 90 + 180 - 90 = 180^\circ. Opposite of East is West.
9. Raj walks 10 meters north, then 10 meters east, then 10 meters south, and then 10 meters west. After completing this square, he walks 5 meters north and 5 meters west. How far is Raj from his starting point?
A) \sqrt{60}
B) \sqrt{40}
C) \sqrt{45}
D) \sqrt{50}
Solution: (D) He returns to start after the square. Then goes 5m North and 5m West. Distance = \sqrt{5^2 + 5^2} = \sqrt{50}
10. In a certain code, "LEARNING" is written as "MFRPJXJH". How is "TEACHING" written in that code?
A) UFRBDXJI
B) UFRDBXHJ
C) UFRBDXJH
D) UFBRDXHJ
Solution: (C) Pattern: L+1=M, E+1=F, A+1=B...
11. Finish the series: 4, 9, 25, 49, 121, 169, ?
A) 256
B) 289
C) 361
D) 196
Solution: (B) Squares of prime numbers (2^2, 3^2, 5^2, 7^2, 11^2, 13^2, 17^2).
12. Fill the question mark (?) with an appropriate number: 4, 18, ?, 100, 180, 294, 448
A) 47
B) 48
C) 46
D) 45
Solution: (B) Pattern: n^3 - n^2. (2^3-2^2=4, 3^3-3^2=18, 4^3-4^2=48).
13. Pick the odd one out: 385, 462, 572, 427, 671, 264
A) 385
B) 264
C) 462
D) 427
Solution: (D) In all others, the middle digit is the sum of the outer digits (e.g., 3+5=8). 427 fails (4+7 \neq 2).
Section III: General English & Verbal Ability
14. ____ Mount Everest is the highest mountain in the world.
A) A
B) The
C) An
D) No Article
Solution: (D) No article before single mountain peaks.
15. Choose the best synonym for "Innocuous":
A) Dangerous
B) Malicious
C) Harmless
D) Risky
Solution: (C) Harmless.
16. Identify the sentence with incorrect article usage:
A) We are going to the museum tomorrow.
B) I met an European tourist yesterday.
C) He gave him an upside-down cake.
D) She is reading a book about history.
Solution: (B) "European" starts with a consonant sound ('y'), so it should be "a European."
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