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SSC MTS 2025 Aptitude Test - 4
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SSC MTS 2025 Aptitude Test - 4
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  • Question 1/10
    3 / -0

    In a business, two partners invest amounts in the ratio of 5 : 3 for some period. If one partner gets Rs. 4000 more than the second, then find the total amount.

    Solutions

    The correct answer is option 4 i.e. Rs.16000.

    Let the amount invested by the two of them be 5x and 3x respectively

    ⇒ (5x - 3x) = 4000

    ⇒ 2x = 4000

    ⇒ x = 2000

    Total amount = (5x + 3x)

    ⇒ 8x = 8(2000)

    ⇒ Rs.16000

  • Question 2/10
    3 / -0

    Find the difference between compound interest and simple interest on a sum of Rs 17000 for 3 years at 20% rate of interest.

    Solutions

    The correct answer is option 3 i.e. Rs. 2176

    Difference between Compound and Simple Interest for 3 years = P (R/100)2 × [(300 + R)/100]

    where P = Principal

    R = Rate of Interest (%)

    Given P = Rs. 17000

    Rate of Interest = 20%

    (CI - SI)3 = 17000 × (20/100)2 × [(300 + 20)/100]

    = 17000 × (1/5)2 × (320/100)

    = 17000 × (1/25) × (16/5)

    = Rs. 2176

  • Question 3/10
    3 / -0

    Directions For Questions

    Direction: The Pie chart below shows the percentage of total packs of different products consumed per month in a family of a company Amul i.e. Cheese, Curd, Buttermilk, Milk, Ice cream and Butter. Study the chart carefully and answer the questions that follow. (Total packs consumed per month = 400)

    ...view full instructions

    What was the average number of packs consumed of Curd, Ice cream and Butter together by the family?

    Solutions

    The correct answer is option 1 i.e. 72.

    From the pie chart:

    Percentage of total Curd packs consumed = 19%

    Percentage of total Ice cream packs consumed = 20%

    Percentage of total Butter packs consumed = 15%

    Hence,

    Required average = [{(19 + 20 + 15)/(3 × 100)} × 400] =  72

  • Question 4/10
    3 / -0

    A commodity marked at Rs 26 when offered 25% discount incurs a loss of 2.5%. What should be the selling price to obtain 20% profit?

    Solutions

    The correct answer is option 2 i.e. 24.

    S.P. after 25% discount = 26 × (100 – 25)/100 = Rs 19.5

    C.P. = S.P. × 100/(100 – loss%)

    ⇒ 19.5 × 100/(100 – 2.5) = Rs 20

    S.P. for 20% profit = 20 × (100 + 20)/100 = Rs.24

  • Question 5/10
    3 / -0

    In an examination, Neha got 220 marks and failed by 12.5% while Anu scored 350 marks which is 3.75% more than the pass mark. Calculate the full marks of the examination.

    Solutions

    The correct answer is option 1 i.e. 800.

    Understanding

    Let, the full marks be x.

    CASE I: For Neha

    Pass marks = 220 + 12.5% of x  .....(i)

    CASE II: For Anu

    Pass marks = 350 - 3.75% of x   ...(ii)

    From (i) and (ii), we get:

    220 + (12.5x/100) = 350 - (3.75x/100)
    Application

    Now,

    ⇒ 125x/1000 + 375x/10000 = 350 - 220

    ⇒ (1250x + 375x)/10000 = 130

    ⇒ 1625x = 1300000

    ⇒ x = 1300000/1625 = 800

    Hence, the marks of the examination is x = 800.
  • Question 6/10
    3 / -0

    What is the remainder when 6557 × 4123 is divided by 12?

    Solutions

    The correct answer is Option 4 i.e. 11.

    6557 = 12 × 546 + 5

    4123 = 12 × 343 + 7

    Product of remainders = 5 × 7 = 35

    Now, if we divide 35 by 12 remainder will be 11

    Hence, 11 is the remainder when 6557 × 4123 is divided by 12

  • Question 7/10
    3 / -0

    A alone can do a piece of work in 13 days, and A and B together can do the same piece of work in 5 days. In how much time B will complete the same work alone?

    Solutions

    Given:

    Time taken by A alone = 13 days

    Time taken by A and B together = 5 days

    Concept Used:

    Total work = Efficiency × total time

    Explanation:

    Let the total work done be LCM of (5 and 13) i.e. 65 units

  • Question 8/10
    3 / -0

    A train running at 25 m/s crosses a pole in 20 seconds. How much time it would take to cross another train of length 400 m at 18 km/h that is running in the opposite direction?

    Solutions

    The correct answer is option 1 i.e. 30 seconds

    As we know,

    ⇒ Distance = Speed × Time

    ⇒ 25 × 20 = 500 m

    Total distance to cover = 500 + 400

    ⇒ 900 m

    Speed of second train = 18 km/h or 5 m/s

    Relative speed = 25 + 5

    ⇒ 30 m/s

    Time taken = 900/30

    ⇒ 30 seconds

  • Question 9/10
    3 / -0

    The ratio of the ages of the son and father was 7 : 3. After 10 years, the ratio becomes 13 : 7. What is the difference between the age of the father and the son?

    Solutions

    The correct answer is option 4 i.e. 24.

    Let the current age of the father and the son be 7x and 3x respectively.

    ⇒ (7x + 10)/(3x + 10) = 13/7

    ⇒ 49x + 70 = 39x + 130

    ⇒ 10x  = 60

    ⇒ x = 6

    The difference between ages = 7x - 3x = 4x

    ⇒ 4(6) = 24

  • Question 10/10
    3 / -0

    A man borrowed Rs. 15860 at a simple interest of 7.5% per annum. If he cleared his debt by paying an amount of Rs. 18225, after how many years, did he clear his debt?

    Solutions

    The correct answer is Option 1 i.e. 2 years.

    Amount = Rs. 18225

    Principal = Rs. 15860

    Rate = 7.5% 

    Simple Interest = Amount - Principal = (Principal × Rate × Time)/100

    18225 - 15860 = (15860 × 7.5 × Time)/100

    Time = (2365 × 100)/(15860 × 7.5) 

    Time = 1.99 ≈ 2 years

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