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SSC CGL Tier 1 previous-year-style questions — the high-weightage, time-pressured Quantitative Aptitude and Reasoning problems (percentages, profit-loss, geometry, series) that decide the cut-off.

20 questionsStep-by-step solutionsQuant · Reasoning · English · GA
Quantitative AptitudeGeneral Intelligence & ReasoningEnglishGeneral Awareness
  1. 1Quantitative Aptitude · PercentageHardNumerical

    The price of an article is first increased by 20%20\% and then decreased by 20%20\%. What is the net percentage change in price?

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    Correct answer
    -4% (4% decrease)
    Solution

    Net change for a +x%+x\% then −x%-x\% is −x2100%=−400100=−4%-\dfrac{x^2}{100}\% = -\dfrac{400}{100} = -4\%. The final price is 96%96\% of the original.

  2. 2Quantitative Aptitude · Profit & LossHardNumerical

    A shopkeeper marks goods 40%40\% above cost and gives a 25%25\% discount. What is the profit percentage?

    Show answer & solution
    Correct answer
    5
    Solution

    Let CP =100= 100. MP =140= 140. SP =140×0.75=105= 140 \times 0.75 = 105. Profit =105−100=5%= 105 - 100 = 5\%.

  3. 3Quantitative Aptitude · Time & WorkHardNumerical

    A can do a job in 1212 days and B in 1818 days. Working together, in how many days will they finish it?

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    Correct answer
    7.2
    Solution

    Combined rate =112+118=3+236=536= \tfrac{1}{12} + \tfrac{1}{18} = \tfrac{3+2}{36} = \tfrac{5}{36} per day. Time =365=7.2= \tfrac{36}{5} = 7.2 days.

  4. 4Quantitative Aptitude · SI/CIHardNumerical

    The difference between compound interest and simple interest on a sum for 22 years at 10%10\% per annum is ₹5050. Find the principal (in ₹).

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    Correct answer
    5000
    Solution

    For 22 years, difference =P(r100)2=P×0.01= P\left(\tfrac{r}{100}\right)^2 = P \times 0.01. So 0.01P=50⇒P=50000.01P = 50 \Rightarrow P = 5000.

  5. 5Quantitative Aptitude · RatioMediumNumerical

    Two numbers are in the ratio 3:53:5 and their sum is 6464. Find the larger number.

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    Correct answer
    40
    Solution

    Total parts =3+5=8= 3+5 = 8. Each part =64/8=8= 64/8 = 8. Larger =5×8=40= 5 \times 8 = 40.

  6. 6Quantitative Aptitude · AverageMediumNumerical

    The average of 55 numbers is 2727. If one number is excluded, the average becomes 2525. Find the excluded number.

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    Correct answer
    35
    Solution

    Sum of 55 = 135135; sum of 44 = 100100. Excluded =135−100=35= 135 - 100 = 35.

  7. 7Quantitative Aptitude · SpeedHardNumerical

    A train 120120 m long crosses a pole in 66 seconds. What is its speed in km/h?

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    Correct answer
    72
    Solution

    Speed =120/6=20= 120/6 = 20 m/s. Convert: 20×185=7220 \times \tfrac{18}{5} = 72 km/h.

  8. 8Quantitative Aptitude · GeometryHardNumerical

    The angles of a triangle are in the ratio 2:3:42:3:4. Find the largest angle (in degrees).

    Show answer & solution
    Correct answer
    80
    Solution

    Sum of angles =180∘= 180^{\circ}; parts =2+3+4=9= 2+3+4 = 9. Each part =20∘= 20^{\circ}. Largest =4×20=80∘= 4 \times 20 = 80^{\circ}.

  9. 9Quantitative Aptitude · MensurationHardNumerical

    If the radius of a circle is increased by 100%100\%, by what percentage does its area increase?

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    Correct answer
    300
    Solution

    Area ∝r2\propto r^2. Doubling rr makes area ×4\times 4, i.e. a 300%300\% increase.

  10. 10Quantitative Aptitude · AlgebraHardNumerical

    If x+1x=5x + \dfrac{1}{x} = 5, find the value of x2+1x2x^2 + \dfrac{1}{x^2}.

    Show answer & solution
    Correct answer
    23
    Solution

    Squaring: (x+1x)2=x2+2+1x2=25\left(x+\tfrac1x\right)^2 = x^2 + 2 + \tfrac{1}{x^2} = 25. So x2+1x2=25−2=23x^2 + \tfrac{1}{x^2} = 25 - 2 = 23.

  11. 11Quantitative Aptitude · Number SystemMediumNumerical

    What is the smallest number that must be added to 20002000 to make it a perfect square?

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    Correct answer
    25
    Solution

    442=193644^2 = 1936 and 452=202545^2 = 2025. The next perfect square after 20002000 is 20252025, so add 2025−2000=252025 - 2000 = 25.

  12. 12Quantitative Aptitude · Data InterpretationMediumNumerical

    A sum of ₹60006000 is divided among A, B, C in the ratio 1:2:31:2:3. How much does C get (in ₹)?

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    Correct answer
    3000
    Solution

    Total parts =6= 6; each part =6000/6=1000= 6000/6 = 1000. C gets 3×1000=30003 \times 1000 = 3000.

  13. 13Reasoning · SeriesMediumNumerical

    Find the missing term: 3, 7, 15, 31, ?3,\ 7,\ 15,\ 31,\ ?

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    Correct answer
    63
    Solution

    Each term follows tn+1=2tn+1t_{n+1} = 2t_n + 1: 2×31+1=632\times31 + 1 = 63. (Equivalently 2n+1−12^{n+1}-1.)

  14. 14Reasoning · Coding-DecodingHardMCQ

    If "CAT" is coded as 2424 (C=3, A=1, T=20; sum =24= 24), what is the code for "DOG"?

    • A) 26
    • B) 18
    • C) 19
    • D) 12
    Show answer & solution
    Correct answer
    A
    Solution

    Sum the letter positions: D(4) + O(15) + G(7) =26= 26.

  15. 15Reasoning · Blood RelationsHardMCQ

    Pointing to a man, a woman said, "His mother is the only daughter of my mother." How is the woman related to the man?

    • A) Sister
    • B) Mother
    • C) Aunt
    • D) Grandmother
    Show answer & solution
    Correct answer
    B
    Solution

    "The only daughter of my mother" is the woman herself. So the man’s mother is the woman — she is his mother.

  16. 16Reasoning · DirectionMediumNumerical

    A man walks 1010 m north, then 1010 m east, then 1010 m south. How far is he from the starting point (in m)?

    Show answer & solution
    Correct answer
    10
    Solution

    The north and south movements cancel, leaving only 1010 m east — so he is 1010 m from the start.

  17. 17Reasoning · AnalogyMediumMCQ

    Doctor : Hospital :: Teacher : ?

    • A) Student
    • B) School
    • C) Book
    • D) Education
    Show answer & solution
    Correct answer
    B
    Solution

    A doctor works in a hospital; analogously, a teacher works in a school (workplace relationship).

  18. 18English · GrammarMediumMCQ

    Choose the correctly spelled word:

    • A) Occassion
    • B) Occasion
    • C) Ocassion
    • D) Occassion
    Show answer & solution
    Correct answer
    B
    Solution

    "Occasion" — one "c", one "s". (Mnemonic: two c’s would be wrong; it takes double−cdouble-c only in words like "accommodate".)

  19. 19English · IdiomsHardMCQ

    The idiom "to let the cat out of the bag" means:

    • A) To create confusion
    • B) To reveal a secret
    • C) To act cruelly
    • D) To escape danger
    Show answer & solution
    Correct answer
    B
    Solution

    To "let the cat out of the bag" means to accidentally reveal a secret.

  20. 20English · VocabularyHardMCQ

    Choose the word most nearly OPPOSITE in meaning to "BENEVOLENT":

    • A) Kind
    • B) Generous
    • C) Malevolent
    • D) Charitable
    Show answer & solution
    Correct answer
    C
    Solution

    "Benevolent" means well−meaningwell-meaning and kindly. Its antonym is "malevolent" (wishing harm). The other options are synonyms.

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