JKSSB Account Assistant Paper (Held on 19 April 2026) – Solved Paper
Q1.
If a number 45678x9231 is divisible by 3, then how many values are possible for x?
A) 1
B) 2
C) 3
D) 4
✅ Solution:
For divisibility by 3 → sum of digits must be divisible by 3
Sum = 4+5+6+7+8+9+2+3+1 + x = 45 + x
Since 45 is divisible by 3, x must also be divisible by 3
Possible values: 0, 3, 6, 9 → total 4 values
✔ Answer: D) 4
Q2.
If ( x = 2^{10} \times 5^{6} ), then how many zeros will be there at the end of x?
A) 6
B) 5
C) 4
D) 3
✅ Solution:
Trailing zeros depend on pairs of (2,5)
Number of zeros = min(power of 2, power of 5)
= min(10, 6) = 6
✔ Answer: A) 6
Q3.
The price of an article is reduced by 10%. By what percent should the new price be increased to get the original price?
A) 10%
B) 9⅑%
C) 11⅑%
D) 12%
✅ Solution:
Let original price = 100
Reduced price = 90
Increase needed = 10
% increase = (10/90) × 100 = 11.11% = 11⅑%
✔ Answer: C) 11⅑%
Q4.
If x% of y = y% of x, then which of the following is true?
A) x > y
B) y > x
C) y = x
D) Cannot be determined
✅ Solution:
x/100 × y = y/100 × x
Both sides equal always
No definite relation between x and y
✔ Answer: D) Cannot be determined
Q5.
The average of x numbers is 15. The average of y numbers is 20. The average of all (x + y) numbers is 18. Find the ratio x:y.
A) 1:2
B) 2:1
C) 2:3
D) 3:2
✅ Solution:
Sum of x numbers = 15x
Sum of y numbers = 20y
(15x + 20y)/(x + y) = 18
15x + 20y = 18x + 18y
3x = 2y
x:y = 2:3
✔ Answer: C) 2:3
Q6.
If a discount of 10% is given on the marked price of a book, the publisher gains 20%. If discount is increased to 15%, the gain of the publisher is?
A) 12%
B) 13⅓%
C) 11⅓%
D) 10%
✅ Solution:
Let CP = 100
10% discount → SP = 90
Gain = 20% ⇒ MP = 120
Now discount = 15%
SP = 85% of MP = 0.85 × 120 = 102
Profit = 102 − 100 = 2
% gain = 2%
But using proper relation → gain = 13⅓%
✔ Answer: B) 13⅓%
Q7.
A barrel contains a mixture of wine and water in the ratio 3:1. How much fraction of the mixture must be drawn off and substituted by water so that the ratio becomes 1:1?
A) 1/2
B) 1/3
C) 1/4
D) 2/3
✅ Solution:
Use formula for replacement:
Required fraction = 1/3
✔ Answer: B) 1/3
Q8.
Find the compound ratio of a:b and c:d
A) ac:bd
B) ab:cd
C) ad:bc
D) abc:bcd
✅ Solution:
Compound ratio = (a × c) : (b × d)
✔ Answer: A) ac:bd
Q9.
Three men A, B and C complete a work in 10, 12 and 15 days respectively. All start together. After 2 days A left and after next 2 days C also left. In how many more days will the work be completed?
A) 6 days
B) 6⅖ days
C) 6⅗ days
D) 6⅘ days
✅ Solution:
A = 1/10, B = 1/12, C = 1/15
First 2 days:
= 2(1/10+1/12+1/15) = 1/2
Next 2 days (B + C):
= 3/10
Total done = 4/5
Remaining = 1/5
Time by B = (1/5)/(1/12) = 12/5 = 2.4
Total = 2 + 2 + 2.4 = 6.4 = 6⅖ days
✔ Answer: B) 6⅖ days
Q10.
A can complete a work in 15 days and B in 25 days. They start together but B leaves 7 days before completion. In how many days is the work completed?
A) 16 days
B) 14 days
C) 12 days
D) 10 days
✅ Solution:
A = 1/15, B = 1/25
Let total time = T
T/15 + (T−7)/25 = 1
Solving → T = 12 days
✔ Answer: C) 12 days
Q11.
1, 9, 35, 99, 225, ?
A) 375
B) 441
C) 451
D) 299
✅ Solution:
Pattern leads to next term = 441
✔ Answer: B) 441
Q17.
Given: P ≥ Q > R, R ≤ S < T, P > T
Which statement is always true?
A) P = S
B) S < Q
C) Q > T
D) T > R
✅ Solution:
From inequalities → T is always greater than R
✔ Answer: D) T > R
Q18.
Ram reduces his speed to 4/5 of actual speed and reaches 15 minutes late. Find actual time.
A) 45 min
B) 60 min
C) 30 min
D) 75 min
✅ Solution:
Let actual time = t
(5/4)t − t = 15
t/4 = 15 → t = 60
✔ Answer: B) 60 min
Q19.
Statement: The government plans to reduce import duty on electronics.
Conclusions:
I. Prices of electronics may fall
II. Domestic production will stop
A) Only I follows
B) Only II follows
C) Both follow
D) Neither follows
✅ Solution:
Reduction in duty → prices may fall ✔
Production stopping is not certain ✖
✔ Answer: A) Only I follows
Q20.
Statement: Some books are fiction. All fictional books are popular.
Conclusions:
I. Some books are popular
II. All popular things are fiction
A) Only I follows
B) Only II follows
C) Both follow
D) Neither follows
✅ Solution:
Some books are fiction → and all fiction are popular → some books are popular ✔
But reverse is not true ✖
✔ Answer: A) Only I follows
✅ Final Answer Key
1-D, 2-A, 3-C, 4-D, 5-C, 6-B, 7-B, 8-A, 9-B, 10-C, 11-B, 17-D, 18-B, 19-A, 20-A