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SSC GD 2026 Aptitude Test - 5
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SSC GD 2026 Aptitude Test - 5
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  • Question 1/10
    2 / -0.5

    For a shopkeeper, the selling price of n articles is equal to the cost price of 35 articles and he gains 66.66% after selling all articles. What will be the value of 'n'?

    Solutions

    The correct answer is option 4 i.e. 21.

    Gain% = {(S.P - C.P) × 100}/C.P

    Gain%/100 = Profit/C.P

    SP of n article = CP of 35 article

    CP/SP = n/35

    Gain% = 66.66% = 200/3

    Gain%/100 = 200/300 = 2/3

    2/3 = Profit/CP

    SP/CP = 5/3 = 35/n

    ⇒ 5 × n = 35 × 3

    ⇒ n = 21

    So, n = 21

  • Question 2/10
    2 / -0.5

    What value will come in the place of question mark (?) in the following questions?

    (47)2 + 6 × (26)2 – 805 × 6 = ?

    Solutions

    The correct answer is option 1 i.e. 1435.

    ⇒ ? = (47)2 + 6 × (26)2 – 805 × 6

    ⇒ ? = 2209 + 4056 – 4830

    ⇒ ? = 6265 – 4830

    ⇒ ? = 1435

  • Question 3/10
    2 / -0.5

    If A and B shared Rs. 5600 in the ratio 5 : 9, how much did B get?

    Solutions

    The correct answer is Option 4 i.e. Rs. 3600.

    Ratio and proportion

    Given 

    Shared price = Rs. 5600

    Ratio of A and B = 5 : 9 

    Let A and B get 5x and 9x respectively

    According to question

    5x + 9x = 5600

    ⇒ 14x = 5600 

    ⇒ x = 400

    ∴ Share of B

    9x = 3600

    = 9 × 400

  • Question 4/10
    2 / -0.5

    Find the compound interest when Rs. 8000 is invested for 9 months at 16% per annum, compounded quarterly.

    Solutions

    The correct answer is option 3 i.e. Rs 998.91

    Understanding

    Application

    Fair Calculation

    Given 

    Principal = Rs. 8000

    r = 16% annual 

    For quarterly, r = 16/4 = 4% 

    t = 9 month = 3 times quarterly 

     

    Coumpound interest for 2 times quarterly 

    4 + 4 + (4 × 4)/100 = 8.16%

    Again compound interest rate for 3 times quarterly(9 month)

    8.16 + 4 + (8.16 × 4)/100 = 12.4864%

    ∴ Compound interest for 9 month 

     

    (8000 × 12.4864)/100 = Rs. 998.91

    Alternative Solution:

    Here r = 4% for quarterly and t = 3 due to 3 quarters

    Compound Interest = P (1 + r/100)t - P

    CI = 8000 (1 + 4/100)3 - 8000

    CI = 8998.91 - 8000 = Rs 998.91

  • Question 5/10
    2 / -0.5

    Sachin scored with the average of 52 runs in 387 international matches. Out of these, 186 matches he played with Dhoni and had an average of 58 in those matches. What was the average of Sachin in the matches where he did not play with Dhoni?

    Solutions

    The correct answer is option 2 i.e. 46.4

    Average of sachin in all 387 matches = 52

    Average in 186 Matches with Dhoni = 58

    Hence,

    Average in (387 - 186 = 201) matches without Dhoni

    = [(52 × 387) - (58 × 186)]/201

    = 46.4

  • Question 6/10
    2 / -0.5

    The average score of Shreyas in 15 innings was 70. In the 16th innings, he scored 6 runs. Find the overall average score of Shreyas in all 16 innings.

    Solutions

    The correct answer is Option 2 i.e. 66.

    The total score of 15 innings = 70 × 15 = 1050

    The total score of 16 innings  = 1050 + 6 = 1056

    ∴ Average score of 16 innings = 1056/16 = 66

  • Question 7/10
    2 / -0.5

    Rs. 75500 is invested in compound interest at the rate of 10% for 2 years. Now the compound interest obtained is invested in simple interest for 3 years at the same rate. Find the simple interest.

    Solutions

    The correct answer is option 2 i.e. Rs. 4756.5.

    CI = P(1 + R/100)T - P

    SI = PRT/100

    According to the question;

    ⇒ CI = 75500(1 + 10/100)2 - 75500

    ⇒ CI = 15855

    Now Compound interest obtained is invested in Simple interest for 3 years at the same rate

    ⇒ SI = (15855 × 10 × 3)/100 = Rs 4756.5

  • Question 8/10
    2 / -0.5

    The cost price of a scooter is Rs. 36,000 and the profit percentage is 44.44%. Find the selling price of the scooter.

    Solutions

    The correct answer is Option 2 i.e. Rs. 52,000

    Given

    CP = Rs. 36,000

    44.44% profit = +4/9

    Selling price = Cost price × (100 + profit %)/100

    Then Selling price of the scooter = 36,000 × 13/9 = Rs. 52,000

  • Question 9/10
    2 / -0.5

    A shopkeeper sold a cellphone for Rs 12,500. If the ratio of cost price to selling price is 4 : 5, find his profit percentage.

    Solutions

    The correct answer is option 2 i.e. 25%.

    Profit = Selling price - Cost price

    Profit% = (profit × 100)/Cost price

    Selling price = 5x

    Cost price = 4x

    Profit(%) = (SP - CP)/CP × 100

    Profit(%) = (5x - 4x)/4x × 100 = x/4x × 100 = 25%

  • Question 10/10
    2 / -0.5

    The efficiency ratio of A, B, and C is 3 : 2 : 4. If C alone can complete the work in 15 days, then in what time will A, B, and C together finish 3/4 part of the same work?

    Solutions

    The correct answer is option 2 i.e. 5 days.

    Efficiency ratio = 3 : 2 : 4

    Total work = Efficiency of C × number of days taken

    Total work = 4x × 15 = 60x units

    3/4th of the total work = 3/4 of 60 = 45x

    Work done by A, B and C = 3x + 2x + 4x = 9x

    Required days = 45x/9x = 5 days

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