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MPSC prelims CSAT maths and data: previous year questionsMPSC प्रीलिम्स CSAT गणित और डेटा: पिछले वर्षों के प्रश्न

51 questions from the prelims papers of 2022 to 2026, newest first. Read the question, try it, then open the answer: it comes from the official MPSC answer key, with a short explanation.2022 से 2026 तक के प्रीलिम्स पेपरों से 51 प्रश्न, नए पहले। प्रश्न पढ़िए, हल कीजिए, फिर उत्तर खोलिए: वह आधिकारिक MPSC उत्तर-कुंजी से है, साथ में छोटी व्याख्या।

Questionsप्रश्न

  1. MPSC 2026 CSAT, question 51प्रश्न 51

    The price of a computer is first increased by 5% and later decreased by 5%. What is change in the original price of the computer ? Select the correct option.

    1. 0.25% increase
    2. 0.36% increase
    3. 1% decrease
    4. 0.25% decrease
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (4) 0.25% decrease

    Let the price be 100. After a 5% rise it is 105; a 5% fall gives 105 x 0.95 = 99.75. Net change = -0.25, i.e. a 0.25% decrease. (Shortcut: +a% then -a% gives a net change of -a^2/100 = -25/100 = -0.25%.) Option (4).

  2. MPSC 2026 CSAT, question 53प्रश्न 53

    Manoj purchased 50 kg of rice at the rate of Rs. 70 per kg and another 30 kg rice at certain rate. He mixed the two and sold the entire quantity at the rate of Rs. 65 per kg. and made 20% overall profit. At what price per kg did he purchased a lot of another 30 kg rice ?

    1. Rs. 22.70
    2. Rs. 27.78
    3. Rs. 27.50
    4. Rs. 25.50
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (2) Rs. 27.78

    Selling price = 80 x 65 = Rs. 5200. With 20% profit, cost = 5200 / 1.2 = Rs. 4333.33. The first lot cost 50 x 70 = Rs. 3500, so the 30 kg lot cost 4333.33 - 3500 = Rs. 833.33, i.e. 833.33 / 30 = Rs. 27.78 per kg. Option (2).

  3. MPSC 2026 CSAT, question 56प्रश्न 56

    A circle and a rectangle have the same perimeter. The sides of the rectangle are 18 cm and 26 cm. What is the area of the circle ?

    1. 88 sq. cm
    2. 154 sq. cm
    3. 1250 sq. cm
    4. 616 sq. cm
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (4) 616 sq. cm

    Perimeter of the rectangle = 2(18 + 26) = 88 cm. So 2 x (22/7) x r = 88, giving r = 14 cm. Area = (22/7) x 14 x 14 = 616 sq. cm. Option (4).

  4. MPSC 2026 CSAT, question 63प्रश्न 63

    Suresh, Ramesh and Ganesh started a business in partnership by investing certain amounts. After one year, they earned profits of Rs. 2,600, Rs. 3,900 and Rs. 6,500 respectively. Based on the information, Choose the correct statement. (I) Their capital investments were in the ratio 2 : 3 : 5. (II) Ganesh's investment was more than 60% of the total initial capital.

    1. Only (I) is correct
    2. Only (II) is correct
    3. Both (I) and (II) are correct
    4. Both (I) and (II) are not correct
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (1) Only (I) is correct

    All three invested for the same one year, so capital is in the ratio of profit: 2600 : 3900 : 6500 = 2 : 3 : 5 (divide by 1300). (I) is correct. Ganesh's share is 5/10 = 50% of the capital, not more than 60%, so (II) is wrong. Option (1).

  5. MPSC 2026 CSAT, question 64प्रश्न 64

    A sum of ₹ 1710 is divided in A, B and C such that 4 times of A, 6 times of B and 9 times of C, are equal. What is the difference between the amounts of 'A' and 'C' ?

    1. ₹ 360
    2. ₹ 450
    3. ₹ 480
    4. ₹ 540
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (2) ₹ 450

    4A = 6B = 9C = k, so A : B : C = 1/4 : 1/6 : 1/9 = 9 : 6 : 4 (multiply by 36). Total 19 parts = 1710, so 1 part = 90. A = 810 and C = 360, a difference of ₹ 450. Option (2).

  6. MPSC 2026 CSAT, question 65प्रश्न 65

    Two trains are moving towards each other on parallel tracks. Train A is 200 m long and moving at a speed of 50 km/h. Train B is 250 m long and moving at a speed of 40 km/h. How long will it take for the trains to cross each other ?

    1. 10 seconds
    2. 15 seconds
    3. 18 seconds
    4. 20 seconds
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (3) 18 seconds

    Moving towards each other, the relative speed is 50 + 40 = 90 km/h = 90 x 5/18 = 25 m/s. The distance to cover is the sum of the lengths, 200 + 250 = 450 m. Time = 450 / 25 = 18 seconds. Option (3).

  7. MPSC 2026 CSAT, question 67प्रश्न 67

    In a survey of 425 students in a school, it was found that 115 drink Apple juice, 160 drink Orange juice and 80 drink both Apple as well as Orange juice. How many students drink neither Apple juice nor Orange juice ?

    1. 150
    2. 230
    3. 70
    4. 280
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (2) 230

    Students who drink at least one = 115 + 160 - 80 = 195. Neither = 425 - 195 = 230. Option (2).

  8. MPSC 2026 CSAT, question 72प्रश्न 72

    Ayush was born two years after his father's marriage. His mother is five years younger than his father but 20 years older than Ayush, who is 10 years old. At what age did the father get married ?

    1. 23 years
    2. 25 years
    3. 33 years
    4. 35 years
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (1) 23 years

    Ayush is 10, so his mother is 10 + 20 = 30 and his father 30 + 5 = 35. The marriage was 10 + 2 = 12 years ago, so the father married at 35 - 12 = 23. Option (1).

  9. MPSC 2025 CSAT, question 52प्रश्न 52

    A bag contains 4 white, 3 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red is ______.

    1. 1/22
    2. 3/22
    3. 2/91
    4. 2/77
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (3) 2/91

    As printed (13 balls, 3 red): P = C(3,3)/C(13,3) = 1/286, which is not among the options. The keyed answer 2/91 is what you get with 5 red balls (4 + 5 + 6 = 15 balls): C(5,3)/C(15,3) = 10/455 = 2/91. So the number of red balls seems to be misprinted. The official MPSC key gives option (3), 2/91.

  10. MPSC 2025 CSAT, question 58प्रश्न 58

    In a village ratio of men to women is 9 : 8. The number of men is 500 more than the number of women. What is the total number of men and women ?

    1. 8,500
    2. 6,300
    3. 3,600
    4. 5,800
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (1) 8,500

    Men = 9k and women = 8k. The difference 9k - 8k = k = 500. Total = 17k = 17 x 500 = 8,500. Option (1).

  11. MPSC 2025 CSAT, question 59प्रश्न 59

    If 'R' denotes 'divided by', 'T' denotes 'added to', 'W' denotes 'Subtracted from' and 'B' denotes 'multiplied by' then 15W12T8R2B6 = ?

    1. 11/12
    2. 3 2/3
    3. 27
    4. 3
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (3) 27

    Replace the letters: 15 - 12 + 8 / 2 x 6. Apply BODMAS: 8 / 2 = 4, then 4 x 6 = 24, so 15 - 12 + 24 = 27. Option (3).

  12. MPSC 2025 CSAT, question 60प्रश्न 60

    Present age ratio of a mother and daughter is 7:2, five years ago ratio of their ages was 6:1. What are their present ages ?

    1. 35, 10
    2. 70, 20
    3. 40, 13
    4. 49, 14
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (1) 35, 10

    Let the ages be 7x and 2x. Five years ago: (7x - 5) = 6(2x - 5), so 7x - 5 = 12x - 30 and x = 5. Present ages are 35 and 10. Check: 30 : 5 = 6 : 1. Option (1).

  13. MPSC 2025 CSAT, question 61प्रश्न 61

    The average of ten numbers is 7. If each number is multiplied by 15, then the average of the new set of numbers is ______.

    1. 105
    2. 150
    3. 180
    4. 170
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (1) 105

    Multiplying every number by 15 multiplies the average by 15: 7 x 15 = 105. Option (1).

  14. MPSC 2025 CSAT, question 62प्रश्न 62

    The LCM of two numbers is 45 times their HCF. If one of the number is 125 and sum of their HCF and LCM is 1150, then the other number is ______.

    1. 225
    2. 215
    3. 220
    4. 235
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (1) 225

    Let HCF = H, so LCM = 45H. Then H + 45H = 46H = 1150, giving H = 25 and LCM = 1125. Product of the numbers = HCF x LCM, so the other number = 25 x 1125 / 125 = 225. Option (1).

  15. MPSC 2025 CSAT, question 63प्रश्न 63

    If 2.5 percent of a number is 8, what is that number ?

    1. 320
    2. 310
    3. 230
    4. 330
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (1) 320

    2.5% of N = 8, so N = 8 x 100 / 2.5 = 800 / 2.5 = 320. Option (1).

  16. MPSC 2025 CSAT, question 64प्रश्न 64

    A rectangle has width a and length b. If the width is decreased by 20% and the length is increased by 10%, then what is the area of new rectangle in percentage compared to ab ?

    1. 80%
    2. 110%
    3. 88%
    4. 120%
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (3) 88%

    The new area is 0.8a x 1.1b = 0.88ab, which is 88% of the original area. Option (3).

  17. MPSC 2025 CSAT, question 71प्रश्न 71

    Arrange the following number in sequence and replace the question mark. 48 : 513 : : 63 : ?

    1. 730
    2. 512
    3. 729
    4. 513
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (1) 730

    48 = 7^2 - 1 and 513 = 8^3 + 1. Likewise 63 = 8^2 - 1, so the answer is 9^3 + 1 = 729 + 1 = 730. Option (1).

  18. MPSC 2025 CSAT, question 74प्रश्न 74

    What number will be in the blank space ? 4, 7, 11, 16, 22, 29, ______

    1. 35
    2. 37
    3. 40
    4. 36
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (2) 37

    The differences are 3, 4, 5, 6, 7, so the next difference is 8: 29 + 8 = 37. Option (2).

  19. MPSC 2025 CSAT, question 75प्रश्न 75

    Select the logical number from the given options for empty box in the following arrangement. Row 1: 2, 4, 8 Row 2: 3, 9, ? Row 3: 4, 16, 32

    1. 27
    2. 18
    3. 40
    4. 25
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (2) 18

    In each row the second number is the square of the first (2^2 = 4, 4^2 = 16, so 3^2 = 9), and the third is twice the second: 4 x 2 = 8, 16 x 2 = 32, so 9 x 2 = 18. Option (2). (27 would follow a cube pattern, but row 3 gives 32, not 64.)

  20. MPSC 2024 CSAT, question 51प्रश्न 51

    Out of 5 Brothers and 3 sisters, a committee of 3 members consisting of 1 sister and 2 brothers is to be formed. In how many different ways can it be done ?

    1. 30
    2. 25
    3. 20
    4. 15
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (1) 30

    Choose 2 of the 5 brothers: 5C2 = 10 ways. Choose 1 of the 3 sisters: 3 ways. Total = 10 x 3 = 30. Option (1).

  21. MPSC 2024 CSAT, question 54प्रश्न 54

    A contract related to cleaning debris around the construction work, specifies penalty in completion of work beyond certain days as follows : ₹ 250 for 1st day; ₹ 310 for 2nd day; ₹ 370 for the 3rd day and so on. If the contractor pays the fine amount ₹ 6960 then select the number days he delayed the work.

    1. 10
    2. 11
    3. 12
    4. 13
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (3) 12

    The fines form an arithmetic progression with a = 250 and d = 60. Sum of n days = n/2 x [2(250) + (n - 1)60] = n(220 + 30n). Setting n(220 + 30n) = 6960: for n = 12, 12 x (220 + 360) = 12 x 580 = 6960. So he delayed 12 days. Option (3).

  22. MPSC 2024 CSAT, question 55प्रश्न 55

    Whenever Meena and Madhu buy ice creams from the local stall, they both always choose one scoop of each of two different flavours. The flavours available on stall are chocolate, coffee, lichi, mango, almond, strawberry, and vanilla. Meena does not eat almond and Madhu does not eat chocolate or coffee ice cream. Select number of more combinations that Meena can choose than those of Madhu.

    1. 4
    2. 5
    3. 6
    4. 7
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (2) 5

    There are 7 flavours. Meena can use 6 of them, so she has 6C2 = 15 pairs. Madhu can use 5, so he has 5C2 = 10 pairs. Meena has 15 - 10 = 5 more combinations. Option (2).

  23. MPSC 2024 CSAT, question 56प्रश्न 56

    Simplify : (4/7)√147 + (3/8)√192 - (1/5)√75

    1. 5√5
    2. 3√5
    3. 7√7
    4. 6√3
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (4) 6√3

    √147 = 7√3, √192 = 8√3, √75 = 5√3. So (4/7)(7√3) + (3/8)(8√3) - (1/5)(5√3) = 4√3 + 3√3 - √3 = 6√3. Option (4).

  24. MPSC 2024 CSAT, question 57प्रश्न 57

    If '+' means '-', '-' means 'x', '÷' means '+' and 'x' means '÷', then 25 x 5 ÷ 7 - 4 + 9 = ?

    1. 39
    2. 24
    3. -35
    4. 25/39
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (2) 24

    Replacing the signs gives 25 ÷ 5 + 7 x 4 - 9. By BODMAS: 5 + 28 - 9 = 24. Option (2).

  25. MPSC 2024 CSAT, question 58प्रश्न 58

    What is the principal amount, if the amount of compound interest on it at 10% p.c.p.a. for 2 years is ₹ 945 ?

    1. ₹ 4800
    2. ₹ 4700
    3. ₹ 4500
    4. ₹ 4900
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (3) ₹ 4500

    CI for 2 years at 10% = P[(1.1)^2 - 1] = 0.21P. So 0.21P = 945, giving P = 945 / 0.21 = ₹ 4500. Option (3).

  26. MPSC 2024 CSAT, question 66प्रश्न 66

    Monday falls on 20th March, 1995. What was the day of 3rd November, 1994 ?

    1. Sunday
    2. Tuesday
    3. Thursday
    4. Friday
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (3) Thursday

    Days from 3 November 1994 to 20 March 1995: 27 (rest of November) + 31 (December) + 31 (January) + 28 (February, 1995 is not a leap year) + 20 (March) = 137. 137 = 19 x 7 + 4, so 3 November is 4 days of the week before Monday, i.e. Thursday. Option (3).

  27. MPSC 2024 CSAT, question 68प्रश्न 68

    How many 2 digit numbers can be formed with the digits 3, 4, 7, 8, 9 if none of the digits is being repeated in any of the numbers so formed ?

    1. 30
    2. 31
    3. 25
    4. 20
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (4) 20

    None of the digits is 0, so the tens digit can be any of 5 digits and the units digit any of the remaining 4: 5 x 4 = 20 numbers. Option (4).

  28. MPSC 2024 CSAT, question 69प्रश्न 69

    ₹ 5000 has been distributed to A, B and C in the ratio 2 : 3 : 5. How many ₹ comes to 'C' ?

    1. ₹ 1500
    2. ₹ 2000
    3. ₹ 2500
    4. ₹ 3000
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (3) ₹ 2500

    Total parts = 2 + 3 + 5 = 10. C gets 5/10 of ₹ 5000 = ₹ 2500. Option (3).

  29. MPSC 2024 CSAT, question 73प्रश्न 73

    The population of a town increases by 5% every year. If the present population is 9261 then the population 3 years ago was ________.

    1. 5700
    2. 6000
    3. 7500
    4. 8000
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (4) 8000

    P x (1.05)^3 = 9261. (1.05)^3 = (21/20)^3 = 9261/8000, so P = 9261 x 8000 / 9261 = 8000. Option (4).

  30. MPSC 2023 CSAT, question 51प्रश्न 51

    Nanu wants to create a rectangular pond in his field. He has not yet decided on the exact dimensions, but its length will be twice its width and will be between 2 metres and 6 metres inclusive. There will also be a strip of concrete of width 0.5 metres around the edges of the pond, as illustrated in below diagram which is not to the scale. [Figure: a tall rectangle (the pond) drawn inside a slightly larger rectangle (the concrete strip).] Select the graph that best represents relation between the surface area of the pond and the area of the concrete edge vary with the length of the pond. [Figure: four graphs of Area (m^2) against Length (m), each with two lines starting at length 2 and running to about 6, labelled po (pond) and co (concrete). In every graph co starts above po and po crosses co and ends higher. (1) Both po and co are straight lines; po is steeper and crosses co a little after length 2. (2) po is an upward-bending curve and co a gently bending curve; they cross near length 3. (3) po is a straight line and co a curve bending upward; they cross between 2 and 4. (4) po is an upward-bending curve and co a straight line; they cross near length 3.]

    This question has a figure in the official paper; it is described in words above.इस प्रश्न में आधिकारिक पेपर में एक चित्र है; ऊपर उसे शब्दों में बताया गया है। See the official paperआधिकारिक पेपर देखिए

    1. Graph (1)
    2. Graph (2)
    3. Graph (3)
    4. Graph (4)
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (1) Graph (1)

    Let the length be L, so the width is L/2. Pond area = L x L/2 = L^2/2, which grows as a curve (quadratic). With a 0.5 m strip all round, the outer rectangle is (L + 1) by (L/2 + 1), so the concrete area = (L + 1)(L/2 + 1) - L^2/2 = 1.5L + 1, which is a straight line. At L = 2: pond 2 m^2, concrete 4 m^2; at L = 6: pond 18 m^2, concrete 10 m^2; they are equal when L^2 - 3L - 2 = 0, i.e. L is about 3.6. So the concrete starts above the pond and the pond overtakes it between 3 and 4. So the correct graph has the concrete line above the pond at L = 2 with the pond line rising faster and crossing it a little after the middle of the range. Matching these features to the small printed sketches is not clear-cut (by the working above the concrete line should be straight and the pond line curved); the official MPSC key gives option (1).

  31. MPSC 2023 CSAT, question 55प्रश्न 55

    Ticket prices : | | 1 day | 2 day | | Adult | Rs. 12 | Rs. 20 | | Child | Rs. 9 | Rs. 15 | | Concession* | Rs. 7 | Rs. 14 | *Under 12 or over 55 Das family members : husband, wife, two children : ages 7 and 13, and mother of wife who is in her sixties, are going to the science park programme this weekend. The parents will attend both days with the elder child but Mrs. Das's mother and the younger child will spend one day visiting relatives. Ticket prices are listed in below table. Select the amount spent by the Das family if they buy the cheapest tickets.

    1. 63
    2. 69
    3. 71
    4. 74
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (2) 69

    Both parents, 2 days as adults: 2 x 20 = 40. Elder child (13, not under 12), 2 days at the child rate: 15. Grandmother (in her sixties, over 55), 1 day concession: 7. Younger child (7, under 12), 1 day: the concession ticket (7) is cheaper than the child ticket (9), so 7. Total = 40 + 15 + 7 + 7 = Rs. 69, option (2).

  32. MPSC 2023 CSAT, question 64प्रश्न 64

    A question paper consist of 20 questions. There are 2 options for each question. Select the number of ways it is possible for a student to attempt one or more questions of the all given questions.

    1. 3^20 - 1
    2. 3^20
    3. 3^18
    4. 3^17
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (1) 3^20 - 1

    Each question can be handled in 3 ways: leave it, choose option 1, or choose option 2. For 20 questions that gives 3^20 ways. Leaving all 20 unattempted is one of these and must be excluded since at least one question is attempted: 3^20 - 1, option (1).

  33. MPSC 2023 CSAT, question 65प्रश्न 65

    When I left for work, the watch was showing a time 8 hrs and 27 minutes exactly. The position of the hour hand and minute hand of this watch is exactly interchanged when I was back home. Select the option that is closest to new time displayed.

    1. Exactly 33 minutes to six
    2. 17.75 minutes to six
    3. 27 minutes to six
    4. 27 minutes past six
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (2) 17.75 minutes to six

    At 8:27 the minute hand is at 27 x 6 = 162 degrees and the hour hand at 8 x 30 + 27 x 0.5 = 253.5 degrees (from 12). After the swap the hour hand is at 162 degrees, i.e. between 5 and 6, and the minute hand at 253.5 degrees, which reads 253.5 / 6 = 42.25 minutes. So the watch shows about 5:42.25, i.e. 60 - 42.25 = 17.75 minutes to six, option (2).

  34. MPSC 2023 CSAT, question 69प्रश्न 69

    While playing 11th match, a batsman is out for 26 runs, which raises his batting average for the season from 15 to 16. Select the number of runs that he should have scored in this inning to raise his average to 20 in this season.

    1. 176
    2. 200
    3. 220
    4. 70
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (4) 70

    Let the first 10 innings total T with average 15, so T = 150; check: (150 + 26) / 11 = 176 / 11 = 16. For an average of 20 after 11 innings he needs 11 x 20 = 220 runs in all, so in the 11th innings he needed 220 - 150 = 70 runs, option (4).

  35. MPSC 2023 CSAT, question 70प्रश्न 70

    Ayesha beat Daya by 50 meters or 10 seconds in a kilometer race. Select the option that indicates time taken by Ayesha to complete the race.

    1. 180 seconds
    2. 190 seconds
    3. 200 seconds
    4. 210 seconds
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (2) 190 seconds

    Daya covers the last 50 m in 10 seconds, so her speed is 5 m/s and she needs 1000 / 5 = 200 seconds for the race. Ayesha finishes 10 seconds earlier: 200 - 10 = 190 seconds, option (2).

  36. MPSC 2023 CSAT, question 72प्रश्न 72

    A referendum was held in the village Nimboli, to determine whether it should have a library or not. All adult members could vote; all of them either voted in favour of having library or voted against it, or did not vote at all. According to the local newspapers : '80% of those who voted, voted in favour of having a library' and '80% of the adult members of the village did not vote for having library in village'. Select percentage of the adult members of the village voted against having a library.

    1. Exactly 20%
    2. Exactly 5%
    3. More than 20%
    4. Exactly 25%
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (2) Exactly 5%

    If 80% of adults did not vote in favour, then 20% of all adults voted in favour. These are 80% of those who voted, so the voters were 20% / 0.8 = 25% of the adults. Those who voted against are the remaining 20% of voters: 0.2 x 25% = 5% of the adults. Exactly 5%, option (2).

  37. MPSC 2023 CSAT, question 75प्रश्न 75

    Mina, Jiva and Faru share out a certain sum of money between them. Mina receives 5/8, Jiva receives 0.25 and Faru receives Rs. 75. Select options that indicates the original amount.

    1. 700
    2. 600
    3. 550
    4. 450
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (2) 600

    Mina and Jiva together get 5/8 + 1/4 = 5/8 + 2/8 = 7/8 of the sum, so Faru's Rs. 75 is the remaining 1/8. The sum is 75 x 8 = Rs. 600, option (2).

  38. MPSC 2022 CSAT, question 11प्रश्न 11

    Two objects having masses 200 gm and 300 gm, are moving along the same line in the same direction with velocities 8 m/s and 4 m/s, respectively. After the collision of the two objects, the first object moves with a velocity of 5 m/s. After collision, the velocity of the other object is :

    1. 0·6 m/s
    2. 60 m/s
    3. 6 m/s
    4. None of the above
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (3) 6 m/s

    Use conservation of momentum with masses in kg (0.2 kg and 0.3 kg). Initial momentum = 0.2 x 8 + 0.3 x 4 = 1.6 + 1.2 = 2.8 kg m/s. After collision: 0.2 x 5 + 0.3 x v = 2.8, so 0.3v = 1.8 and v = 6 m/s. Answer: option (3).

  39. MPSC 2022 CSAT, question 13प्रश्न 13

    The mass of a gun is 6 kg and it recoils with a speed 170 cm/s. What is the momentum of the gun ?

    1. 10·2 kg m/s
    2. 1·02 kg m/s
    3. 1020 kg m/s
    4. 102 kg m/s
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (1) 10·2 kg m/s

    Convert the speed to m/s: 170 cm/s = 1.7 m/s. Momentum = mass x velocity = 6 x 1.7 = 10.2 kg m/s. Answer: option (1).

  40. MPSC 2022 CSAT, question 23प्रश्न 23

    Complete the following hypothetical reaction : ²³⁵₉₂U + ¹₀n → ˣ₅₄Xe + ʸ₃₈Sr + 4 ¹₀n (a) x = 141, y = 91 (b) x = 139, y = 93 (c) x = 141, y = 93 (d) x = 139, y = 95

    1. Only (b) and (d)
    2. Only (a) and (c)
    3. Only (a) and (b)
    4. Only (c) and (d)
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (3) Only (a) and (b)

    Mass numbers must balance: 235 + 1 = x + y + 4 x 1, so x + y = 232. (Atomic numbers already balance: 92 + 0 = 54 + 38 + 0.) Check: (a) 141 + 91 = 232 and (b) 139 + 93 = 232 work; (c) 141 + 93 = 234 and (d) 139 + 95 = 234 do not. So only (a) and (b), option (3).

  41. MPSC 2022 CSAT, question 51प्रश्न 51

    A bag contains 3 white, 2 blue and 5 red balls. One ball is drawn at random from the bag. What is the probability that the ball drawn is not red ?

    1. 4/5
    2. 3/10
    3. 1/5
    4. 1/2
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (4) 1/2

    Total balls = 3 + 2 + 5 = 10. Balls that are not red = 3 white + 2 blue = 5. P(not red) = 5/10 = 1/2. Answer: option (4).

  42. MPSC 2022 CSAT, question 53प्रश्न 53

    5 children are collecting flowers in the garden for making 5 garlands using 25 flowers each. They decided that at the end of the collecting time, they are going to ensure that they all have equal number of flowers. Four of them are only 2 short of making their garland as was decided and the youngest child was not able to collect the required number of flowers. So each of the others gave 3 flowers from their collection in order to equalise the number of flowers. Choose the option that indicates the number of flowers that the youngest child had collected.

    1. 13
    2. 12
    3. 8
    4. None of the above
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (3) 8

    Each of the four older children had 25 - 2 = 23 flowers. Each gave away 3, leaving 23 - 3 = 20, and after equalising the youngest also has 20. The youngest received 4 x 3 = 12 flowers, so she had collected 20 - 12 = 8. Answer: option (3).

  43. MPSC 2022 CSAT, question 54प्रश्न 54

    Let 'X' be the median of the data 13, 8, 15, 14, 17, 9, 14, 16, 13, 17, 14, 15, 16, 15, 14. If 8 is replaced by 18, then median of the data is 'Y'. What is the sum of values of 'X' and 'Y' ?

    1. 30
    2. 27
    3. 28
    4. 29
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (4) 29

    There are 15 values, so the median is the 8th value in order. Sorted: 8, 9, 13, 13, 14, 14, 14, 14, 15, 15, 15, 16, 16, 17, 17; the 8th is 14, so X = 14. Replacing 8 by 18 gives 9, 13, 13, 14, 14, 14, 14, 15, 15, 15, 16, 16, 17, 17, 18; the 8th is now 15, so Y = 15. X + Y = 29. Answer: option (4).

  44. MPSC 2022 CSAT, question 56प्रश्न 56

    Study the accompanying Venn diagram that shows the number of students who speak four languages namely; Telugu, Hindi, Marathi and Gujarati. The number of students who speak the given languages is 61, 65, 73 and 69 respectively. Select the number of students who speak Marathi only. [Figure: a grid-style Venn diagram. Telugu spans the first two columns and Hindi the second and third columns (a fourth column lies outside both). Gujarati spans the first two rows of the grid and Marathi the second and third rows; a short top row lies outside both. Cell values - top row (outside Gujarati and Marathi): Telugu only blank, Telugu and Hindi 3, Hindi only blank. Gujarati only row: Telugu 6, Telugu and Hindi 6, Hindi 9, neither Telugu nor Hindi 12. Gujarati and Marathi row: Telugu 5, Telugu and Hindi 8, Hindi blank, neither 12. Marathi only row: Telugu 4, Telugu and Hindi 11, Hindi 14, neither (Marathi only) blank.]

    This question has a figure in the official paper; it is described in words above.इस प्रश्न में आधिकारिक पेपर में एक चित्र है; ऊपर उसे शब्दों में बताया गया है। See the official paperआधिकारिक पेपर देखिए

    1. 19
    2. 9
    3. 8
    4. Enough data is not provided for getting the answer
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (3) 8

    Let the unknown cell for Hindi + Gujarati + Marathi (no Telugu) be c, and Marathi only be m. Gujarati total: 6 + 6 + 9 + 12 + 5 + 8 + c + 12 = 58 + c = 69, so c = 11. Marathi total: (5 + 8 + 11 + 12) + (4 + 11 + 14) + m = 36 + 29 + m = 65 + m = 73, so m = 8. (Telugu and Hindi totals fill the remaining blanks: Telugu only = 18, Hindi only = 3.) Answer: option (3).

  45. MPSC 2022 CSAT, question 57प्रश्न 57

    Rina, Tina and Hina are starting at the same time from the same point in the same direction to run around the circular playground. Rina completes a round in 70 seconds, Tina in 105 seconds and Hina in 175 seconds. After how much time will they meet again at the starting point ?

    1. 17 minutes 3 seconds
    2. 34 minutes 30 seconds
    3. 71 minutes 30 seconds
    4. 17 minutes 30 seconds
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (4) 17 minutes 30 seconds

    They are together at the start again after the LCM of their lap times. 70 = 2 x 5 x 7, 105 = 3 x 5 x 7, 175 = 5 x 5 x 7, so LCM = 2 x 3 x 5 x 5 x 7 = 1050 seconds = 17 minutes 30 seconds. Answer: option (4).

  46. MPSC 2022 CSAT, question 58प्रश्न 58

    Train 'M' leaves Meerut at 5.00 a.m. and reaches Delhi at 9.00 a.m. Train 'N' leaves Delhi at 7.00 a.m. and reaches Meerut at 10.30 a.m. At what exact time do the two trains cross each other ?

    1. 7.36 a.m.
    2. 7.56 a.m.
    3. 8.00 a.m.
    4. 8.26 a.m.
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (2) 7.56 a.m.

    Let the distance be D. M takes 4 hours (speed D/4 per hour); N takes 3.5 hours (speed 2D/7 per hour). By 7.00 a.m. M has run 2 hours and covered D/2, leaving D/2 between the trains. They close the gap at D/4 + 2D/7 = 15D/28 per hour, so they meet after (D/2) / (15D/28) = 14/15 hour = 56 minutes, at 7.56 a.m. Answer: option (2).

  47. MPSC 2022 CSAT, question 64प्रश्न 64

    Aisha is studying literature of the period 1950 - 2010 for her graduation. She decided to buy a book to help her with studies. Information about 5 different related books which are available at the local shop is given below. Title | Period covered | Hardback ? | Illustrated ? | Price ? '20th and 21st Century Literature' | 1950 - 2020 | Yes | No | ₹ 450 The Illustrated Guide to Literature | 1900 - 2020 | No | Yes | ₹ 500 Beginners' Guide to Literature | 1850 - 2010 | No | No | ₹ 400 Literature For All | 1850 - 2000 | Yes | Yes | ₹ 550 All About Literature | 1800 - 2020 | Yes | No | ₹ 600 Next day she went to the shop with exact cash required for buying the cheapest book satisfying her requirement. She found that there was a sale and the price of all books are reduced by 20%. So she purchased the most costly book that she could buy with the money she had and that fulfils her requirements. Select the amount that is left over with Aisha.

    1. ₹ 90
    2. ₹ 50
    3. ₹ 10
    4. ₹ 130
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (2) ₹ 50

    'Literature For All' stops at 2000, so it does not cover her period. Among the books that do, the official answer is reached by taking the cheapest suitable book as '20th and 21st Century Literature' at ₹ 450, so she carries ₹ 450. That means the setter did not count the Beginners' Guide as suitable for a graduate. After the 20% cut the prices are ₹ 360 ('20th and 21st Century'), ₹ 400 (Illustrated Guide) and ₹ 480 (All About Literature). The costliest she can afford with ₹ 450 is the Illustrated Guide at ₹ 400, leaving 450 - 400 = ₹ 50. (If the ₹ 400 Beginners' Guide counted, she would carry ₹ 400 and have ₹ 0 left, which is not an option.) Answer: option (2).

  48. MPSC 2022 CSAT, question 65प्रश्न 65

    All 36 pupils of the Zilla Parishad School planted in all 48 plants, a mixture of jambhul and chiku varieties, in their locality. Every boy planted three jambhul varieties and the each group of two girls planted one chiku variety between them. Select the statement that is not true with respect to the above information.

    1. There are 12 more girls than boys in this school.
    2. If the total number of plants planted is 49, then the number of girls in this school is definitely 14, with respect to the above case.
    3. There are 14 boys in this school.
    4. If the total number of plants planted is 51, then the number of boys in this school is definitely 13, with respect to the above case.
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (3) There are 14 boys in this school.

    Let there be b boys and g girls. Then b + g = 36 and 3b + g/2 = 48, i.e. 6b + g = 96. Subtracting, 5b = 60, so b = 12 and g = 24. There are 12 more girls than boys, so (1) is true, while 'There are 14 boys' contradicts b = 12 and is not true. (Statements (2) and (4) are about other totals; 49 or 51 plants would give 5b = 62 or 66, so they do not describe the given situation.) Answer: option (3).

  49. MPSC 2022 CSAT, question 66प्रश्न 66

    If the number 357*25* is divisible by both 3 and 5, then select the appropriate pair of digits in units and thousandth place respectively.

    1. 0, 4
    2. 5, 4
    3. 5, 6
    4. 0, 6
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (3) 5, 6

    The stars are the thousands digit (after 357) and the units digit. Divisible by 5 means the units digit is 0 or 5. Divisible by 3 means the digit sum 3 + 5 + 7 + 2 + 5 + (thousands) + (units) = 22 + thousands + units is a multiple of 3. Check: (0, 4) gives 26, (5, 4) gives 31, (5, 6) gives 33, (0, 6) gives 28. Only 33 is divisible by 3. Answer: option (3).

  50. MPSC 2022 CSAT, question 71प्रश्न 71

    Sanvi was born on 28th February, 2018. Then on which day will her 22nd birthday come ?

    1. Tuesday
    2. Monday
    3. Wednesday
    4. Friday
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (1) Tuesday

    28 February 2018 was a Wednesday. Her 22nd birthday is 28 February 2040. From 2018 to 2040 there are 22 years, and the leap days 29 February 2020, 2024, 2028, 2032 and 2036 fall in between (29 February 2040 comes after the 28th). Odd days = 22 + 5 = 27, and 27 mod 7 = 6. Wednesday + 6 days = Tuesday. Answer: option (1).

  51. MPSC 2022 CSAT, question 72प्रश्न 72

    A and B can complete a work in 15 days and 10 days respectively. They started doing the work together, but after 2 days B had to leave and A alone completed the remaining work. In how many days was the work completed ?

    1. 8 days
    2. 10 days
    3. 12 days
    4. 15 days
    Answer and explanationउत्तर और व्याख्या

    Answer:उत्तर: (3) 12 days

    Together they do 1/15 + 1/10 = 1/6 of the work per day, so in 2 days they finish 2/6 = 1/3. The remaining 2/3 is done by A at 1/15 per day: (2/3) x 15 = 10 days. Total = 2 + 10 = 12 days. Answer: option (3).

Questions and answer keys are published by the Maharashtra Public Service Commission (mpsc.gov.in). Explanations are written by IndiaDigital; if one looks wrong, use the report link under it.प्रश्न और उत्तर-कुंजियाँ महाराष्ट्र लोक सेवा आयोग (mpsc.gov.in) द्वारा प्रकाशित हैं। व्याख्याएँ IndiaDigital ने लिखी हैं; कोई गलत लगे तो उसके नीचे दिए लिंक से बताइए।

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