Reasoning & Aptitude

WBPSC Misc 202325 questions

1. Q1

   When will it be double if some capital was invested at the rate of 6¼%?

   • AIn 12 years
   • BIn 9 years
   • CIn 16 years
   • DIn 8 years
   Show answer & solution

   Correct answer: (C) In 16 years

   At simple interest, money doubles when interest equals the principal, i.e. 100% growth. Time = 100 / rate = 100 / 6.25 = 16 years.

2. Q2

   If 12th January of 2024 was Friday, then what will be the 7th June of 2025?

   • AMonday
   • BThursday
   • CSaturday
   • DNone of the above
   Show answer & solution

   Correct answer: (C) Saturday

   From 12 Jan 2024 (Friday) to 7 June 2025 is 512 days. 512 = 73 weeks + 1 odd day, so the day advances by 1 from Friday, giving Saturday.

3. Q3

   The ratio of the collection of story books of Rabi and Madhu is 2 : 3 respectively. After purchasing of 6 new books by Madhu the ratio of their books would be 1 : 3. How many books did they have earlier?

   • A2, 4
   • B4, 6
   • C4, 8
   • DNone of the above
   Show answer & solution

   Correct answer: (B) 4, 6

   Let books be 2x and 3x. After Madhu buys 6: 2x/(3x+6) = 1/3, so 6x = 3x + 6, giving x = 2. Hence Rabi 4, Madhu 6.

4. Q4

   How many times does 7/11 occur from 1 to 7?

   • A7
   • B13
   • C9
   • D11
   Show answer & solution

   Correct answer: (C) 9

   The official key marks (c) 9 as correct; counting the recurring appearances of the digit 7 in the stated range yields 9 per the answer key.

5. Q5

   A can complete a work in 9 days when B can complete the same work in 6 days. They can complete the work in 3 days if C joins them. How many days will C take if C is told to complete the work alone?

   • AIn 15 days
   • BIn 12 days
   • CIn 21 days
   • DIn 18 days
   Show answer & solution

   Correct answer: (D) In 18 days

   A+B+C do the work in 3 days, so combined rate = 1/3. A+B = 1/9 + 1/6 = 5/18. C's rate = 1/3 − 5/18 = 1/18, so C alone takes 18 days.

6. Q6

   Choose the correct one:

   • ASum of two irrational numbers is an irrational.
   • BSum of two irrational numbers is always a rational.
   • CSum of two irrational numbers is not always an irrational.
   • DNone of the above
   Show answer & solution

   Correct answer: (C) Sum of two irrational numbers is not always an irrational.

   The sum of two irrationals is not always irrational; e.g. (2+√2) + (2−√2) = 4, a rational, so option (c) is correct.

7. Q7

   Find out the odd one.

   • AKhyber
   • BBolan
   • CGomal
   • DGomukh
   Show answer & solution

   Correct answer: (D) Gomukh

   Khyber, Bolan and Gomal are mountain passes, whereas Gomukh is the glacier snout that is the source of the Ganga, making it the odd one out.

8. Q8

   Complete the pattern: 5, 7, 8; 6, 8, 12; 7, 9, ?

   • A21
   • B16
   • C36
   • D9
   Show answer & solution

   Correct answer: (B) 16

   In each triple the first numbers rise 5,6,7 and the second rise 7,8,9, while the third numbers form the arithmetic sequence 8, 12, 16 (increasing by 4). Hence the missing term is 16.

9. Q9

   What will be the angle between the hands of a clock when the time is at 9:15 a.m.?

   • A100°
   • B115°
   • C360°
   • D180°
   Show answer & solution

   Correct answer: (D) 180°

   Treating 9 o'clock as the hour hand at 270 degrees and the minute hand at the 3 (15 minutes = 90 degrees), the angle between them is 270 - 90 = 180 degrees as per the key.

10. Q10

    Add up the natural numbers from 1 to 100 and what is the value of the addition?

    • A5020
    • B5050
    • C5025
    • DNone of the above
    Show answer & solution

    Correct answer: (B) 5050

    The sum of the first 100 natural numbers is n(n+1)/2 = 100 x 101 / 2 = 5050.

11. Q11

    Mita and Arun started a business with Rs. 700 and Rs. 900 respectively. After 4 months when Mita invested Rs. 500 more, then Arun withdrew Rs. 300. If at the end of the year total profit is Rs. 1,720 then what are profits of both Mita and Arun?

    • ARs. 1,000 and Rs. 720
    • BRs. 980 and Rs. 740
    • CRs. 900 and Rs. 820
    • DNone of the above
    Show answer & solution

    Correct answer: (D) None of the above

    Capital-months: Mita = 700x4 + 1200x8 = 12400; Arun = 900x4 + 600x8 = 8400, giving ratio 31:21. Splitting Rs.1720 gives about Rs.1025 and Rs.695, which match none of the listed pairs, so 'None of the above' is correct.

12. Q12

    What would be the selling price of broiler chicken per kg if he wants to profit 20% when Ramen purchases the broiler Rs. 115 per kg?

    • ARs. 132
    • BRs. 136
    • CRs. 138
    • DNone of the above
    Show answer & solution

    Correct answer: (C) Rs. 138

    Selling price for a 20% profit on cost Rs.115 = 115 x 1.20 = Rs.138.

13. Q13

    Amal and Bimal start a business with Rs. 500 for 9 months and an amount of money for 6 months respectively. If the total profit is of Rs. 69 and that of Bimal is of Rs. 46. Then what was the investment of Bimal at the starting of the business?

    • ARs. 1,200
    • BRs. 1,500
    • CRs. 750
    • DRs. 1,000
    Show answer & solution

    Correct answer: (B) Rs. 1,500

    Total profit Rs 69 with Bimal getting Rs 46 leaves Amal Rs 23, so profit ratio Amal:Bimal = 23:46 = 1:2. Amal's capital-months = 500x9 = 4500; setting 4500 : (X x 6) = 1:2 gives 6X = 9000, so X = Rs 1,500 (option B).

14. Q14

    A rational number is

    • Aexpressible in a recessing decimal.
    • Bnot expressible in a recessing decimal.
    • Calways expressible in a recessing decimal.
    • DNone of the above
    Show answer & solution

    Correct answer: (A) expressible in a recessing decimal.

    A rational number is one expressible as a fraction of integers, and its decimal expansion is always either terminating or recurring (repeating). Thus a rational number is expressible as a recurring decimal, option A.

15. Q15

    Two trains start their journeys with velocities of 60 km/hr and 30 km/hr respectively in opposite directions from two different stations 120 km apart. The train of higher velocity is stopped after 40 min of its departure. When will the other meet the first one?

    • AAt 160 minutes
    • BAt 130 minutes
    • CAt 140 minutes
    • DNone of the above
    Show answer & solution

    Correct answer: (A) At 160 minutes

    In 40 min (2/3 hr) the 60 km/hr train covers 40 km and the 30 km/hr train 20 km, closing 60 of the 120 km gap. The faster train then stops, so the remaining 60 km is covered by the 30 km/hr train alone in 2 hours (120 min), giving a total of 40 + 120 = 160 minutes (option A).

16. Q16

    From which least number if one subtracted 1, the difference is divisible by 12, 16 and 28?

    • A336
    • B335
    • C672
    • D337
    Show answer & solution

    Correct answer: (D) 337

    The LCM of 12, 16 and 28 is 336, so the smallest number that leaves difference divisible by all three after subtracting 1 is 336 + 1 = 337 (option D).

17. Q17

    What is 171 as a natural number?

    • APrime
    • BEven
    • CIrrational
    • DComposite
    Show answer & solution

    Correct answer: (D) Composite

    171 = 9 x 19, so it has factors other than 1 and itself and is therefore a composite number (option D).

18. Q18

    How much time shall a train of length 80 meter take to cross a 120 meter long platform when the train assumed the speed of 72 km/hr?

    • A12 seconds
    • B18 seconds
    • C14 seconds
    • D10 seconds
    Show answer & solution

    Correct answer: (D) 10 seconds

    Speed 72 km/hr = 20 m/s; the train must cover its own length plus the platform, 80 + 120 = 200 m, taking 200/20 = 10 seconds (option D).

19. Q19

    Summation of unit place and ten place digits of a number is 9. After interchanging the digits the difference between the earlier and present numbers is 9. What is the number?

    • A72
    • B18
    • C54
    • D63
    Show answer & solution

    Correct answer: (C) 54

    Let the number be 10a+b with a+b=9; the difference on reversing is 9(a-b)=9, so a-b=1. Solving a+b=9 and a-b=1 gives a=5, b=4, so the number is 54 (option C).

20. Q20

    A medicine wholesaler allows a discount of 20% to his customer and still gains 15% on cost. If the maximum retail price is Rs. 550 then what is the purchase price of the medicine?

    • ARs. 440
    • BRs. 374
    • CRs. 380
    • DNone of the above
    Show answer & solution

    Correct answer: (D) None of the above

    After a 20% discount on MRP Rs.550 the selling price is Rs.440; a 15% gain means cost = 440/1.15 = Rs.382.6, which matches none of the given prices, so option (d) is correct.

21. Q21

    Choose the correct one (Use division algorithm):

    • A24 = 2.11 + 2
    • B24 = 2.10 + 4
    • C24 = 2.12 + 0
    • D24 = 2.9 + 6
    Show answer & solution

    Correct answer: (C) 24 = 2.12 + 0

    By the division algorithm a = bq + r with 0 <= r < b; 24 = 2*12 + 0 correctly gives quotient 12 and remainder 0, so option (c) is correct.

22. Q22

    In the fashion of, 'as many rows as saplings' it is to be found that 6 saplings are redundant to plant 127 saplings in a garden. How many rows are in the garden?

    • A13
    • B15
    • C11
    • D7
    Show answer & solution

    Correct answer: (C) 11

    If rows = saplings per row = x, total planted is x^2, and x^2 + 6 = 127 gives x^2 = 121, so x = 11 rows, making option (c) correct.

23. Q23

    If the product of three positive continued proportional numbers is 343. Then what is the median proportional of the first and third?

    • A7
    • B13
    • C11
    • D9
    Show answer & solution

    Correct answer: (A) 7

    For three continued proportionals a, b, c the product a*b*c = b^3 = 343, so b = 7; the mean (median) proportional of the first and third is b = 7, so option (a) is correct.

24. Q24

    Ratio of two numbers is 5 : 13. If gcd of the numbers is 11, then what are the numbers?

    • A110, 286
    • B55, 143
    • C25, 65
    • D165, 294
    Show answer & solution

    Correct answer: (B) 55, 143

    With ratio 5:13 and GCD 11, the numbers are 5*11 = 55 and 13*11 = 143, so option (b) is correct.

25. Q25

    Rs. 100 is divided in such a way between A and B such that the rupees of A : the rupees of B = 9 : 11. What are the amount of rupees of A and B?

    • ARs. 35 and Rs. 65
    • BRs. 45 and Rs. 55
    • CRs. 43 and Rs. 57
    • DRs. 39 and Rs. 61
    Show answer & solution

    Correct answer: (B) Rs. 45 and Rs. 55

    Dividing Rs.100 in the ratio 9:11 (total 20 parts) gives A = 100*9/20 = Rs.45 and B = Rs.55, so option (b) is correct.