Top 100+ Quant Formulas for SSC CHSL 2025 Exam, Download Free PDF

SSC CHSL 2025 Tier 1 exam is scheduled to be conducted from 12th November 2025. It’s time to boost your speed and accuracy for the exam. There is a section in which candidates fail to manage their speed and accuracy, which is the Quantitative Aptitude section. With the exam just days away, there’s no time for solving long, textbook-style problems. Mostly, questions of the SSC CHSL quant section can be solved by just implementing the formulas. To help you with that, we have provided a PDF that contains the top 100+ quant formulas for SSC CHSL 2025 exam. You just have to download the PDF for free and revise these formulas.

Top 100+ Quant Formulas for SSC CHSL 2025 Exam

Here, we have provided 100+ quant formulas that will help you solve quant questions easily and quickly. For your convenience, we have categorized formulas according to the topics so that you can avoid confusion and learn them systematically.

1. Number System

1. Sum of first n natural numbers = n(n + 1) / 2
2. Sum of squares of first n natural numbers = n(n + 1)(2n + 1) / 6
3. Sum of cubes of first n natural numbers = [n(n + 1)/2]²
4. HCF × LCM = Product of two numbers
5. Even number = 2n ; Odd number = 2n + 1
6. Divisibility by 2 → last digit even
7. Divisibility by 3 → sum of digits divisible by 3
8. Divisibility by 4 → last two digits divisible by 4
9. Divisibility by 5 → ends in 0 or 5
10. Divisibility by 9 → sum of digits divisible by 9
11. Divisibility by 11 → difference between sum of alternate digits divisible by 11
12. Smallest number divisible by a & b = LCM(a, b)
13. Greatest number dividing a & b = HCF(a, b)

Attempt Free Number System Tests and Check Your Prep. Level

2. Percentage, Profit & Loss, Discount

14. Percentage = (Value / Total Value) × 100
15. Increase = (New – Old) / Old × 100
16. Decrease = (Old – New) / Old × 100
17. Profit = Selling Price – Cost Price
18. Loss = Cost Price – Selling Price
19. Profit % = (Profit / Cost Price) × 100
20. Loss % = (Loss / Cost Price) × 100
21. Selling Price = Cost Price × (1 + Profit%/100)
22. Cost Price = Selling Price × (100 / (100 + Profit%))
23. Discount % = (Discount / Marked Price) × 100
24. Selling Price = Marked Price × (1 – Discount%/100)
25. Successive discounts formula: New discount = A + B – (A×B)/100

Attempt Free Percentage Tests and Check Your Prep. Level

3. Ratio and Proportion

26. If a:b = x:y ⇒ a/x = b/y
27. a:b = m:n ⇒ a = km, b = kn
28. Ratio of two quantities = first quantity / second quantity
29. Inverse proportion ⇒ a₁/a₂ = b₂/b₁
30. If a:b = 2:3 and b:c = 4:5 ⇒ a:b:c = 8:12:15
31. Mean proportion between a and b = √(a×b)
32. If a/b = c/d ⇒ ad = bc (product of extremes = product of means)
33. Compound ratio of (a:b) and (c:d) = (ac):(bd)

Attempt Free Ratio and Proportion Tests and Check Your Prep. Level

4. Time, Speed, and Distance

34. Speed = Distance / Time
35. Time = Distance / Speed
36. Distance = Speed × Time
37. Average speed (equal distance) = 2xy / (x + y)
38. Relative speed (same direction) = x – y
39. Relative speed (opposite direction) = x + y
40. If a train of length L crosses a pole in T seconds → Speed = L / T
41. If it crosses platform of length P in T seconds → Speed = (L + P)/T
42. Downstream speed = Boat + Stream
43. Upstream speed = Boat – Stream
44. Average speed for unequal distances = total distance / total time

Attempt Free Time, Speed, and Distance Tests and Check Your Prep. Level

5. Time and Work

45. Work = Rate × Time
46. If A can do a work in x days, work done per day = 1/x
47. If A in x days, B in y days ⇒ both together in 1/(1/x + 1/y) = xy/(x + y) days
48. If A is twice efficient as B ⇒ time taken by A = ½ of B
49. Ratio of efficiency = inverse of time taken
50. If A completes 1/3 of work in 10 days ⇒ total work = 30 days
51. Pipes & cisterns: (filling rate – emptying rate) × time = work done
52. Work and wages ∝ efficiency × time

Attempt Free Time and Work Tests and Check Your Prep. Level

6. Average and Ages

53. Average = Sum of observations / Number of observations
54. If one value added ⇒ New average = (Old total + New value) / (n + 1)
55. If one value removed ⇒ (Old total – Removed value) / (n – 1)
56. Difference in average × total members = difference in total sum
57. Average age = Total of ages / Number of persons
58. If all ages increased by x ⇒ new average = old average + x
59. Combined average = (n₁a₁ + n₂a₂)/(n₁ + n₂)
60. To find the missing number: use total = average × number

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7. Simple and Compound Interest

61. Simple Interest = (P × R × T) / 100
62. Amount = Principal + SI
63. If SI on ₹P in T years = ₹X ⇒ rate = (100 × X) / (P × T)
64. Compound Interest = P[(1 + R/100)ⁿ – 1]
65. Amount = P(1 + R/100)ⁿ
66. Difference between CI and SI (for 2 years) = P(R/100)²
67. CI for 3 years = P[(1 + R/100)³ – 1]
68. Half-yearly CI = P(1 + R/200)²n – P
69. Quarterly CI = P(1 + R/400)⁴n – P
70. Time for doubling at CI: T = (log 2) / (log(1 + R/100))

Attempt Free Simple and Compound Interest Tests and Check Your Prep. Level

8. Algebra

71. (a + b)² = a² + 2ab + b²
72. (a – b)² = a² – 2ab + b²
73. a² – b² = (a + b)(a – b)
74. (a + b + c)² = a² + b² + c² + 2(ab + bc + ca)
75. (a + b)³ = a³ + 3a²b + 3ab² + b³
76. a³ – b³ = (a – b)(a² + ab + b²)
77. a³ + b³ = (a + b)(a² – ab + b²)
78. If a + b + c = 0 ⇒ a³ + b³ + c³ = 3abc
79. For ax² + bx + c = 0 ⇒ Sum of roots = –b/a, Product of roots = c/a
80. (x + a)(x + b) = x² + (a + b)x + ab

Attempt Free Algebra Tests and Check Your Prep. Level

9. Geometry and Mensuration

81. Perimeter of square = 4a
82. Area of square = a²
83. Perimeter of rectangle = 2(l + b)
84. Area of rectangle = l × b
85. Area of triangle = ½ × base × height
86. Area of circle = πr²
87. Circumference of circle = 2πr
88. Area of parallelogram = base × height
89. Volume of cube = a³
90. Volume of cuboid = l × b × h
91. Volume of cylinder = πr²h
92. Curved surface area of cylinder = 2πrh
93. Total surface area of cylinder = 2πr(r + h)
94. Volume of cone = ⅓πr²h
95. Curved surface area of cone = πrl
96. Volume of sphere = 4/3πr³
97. Surface area of sphere = 4πr²

Attempt Free Geometry and Mensuration Tests and Check Your Prep. Level

10. Trigonometry

98. sin²A + cos²A = 1
99. 1 + tan²A = sec²A
100. 1 + cot²A = cosec²A
101. sinA / cosA = tanA
102. sin(90° – A) = cosA
103. cos(90° – A) = sinA
104. tan(90° – A) = cotA
105. sin2A = 2sinAcosA
106. cos2A = cos²A – sin²A
107. tan2A = (2tanA)/(1 – tan²A)

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11. Statistics, Probability, and Miscellaneous

108. Mean = Sum of values / Number of values
109. Median (for odd n) = middle value
110. Median (for even n) = average of the middle two
111. Mode = most frequent value
112. Probability = (Favourable outcomes)/(Total outcomes)
113. nPr = n! / (n – r)!
114. nCr = n! / [r!(n – r)!]
115. Relation ⇒ nCr + nC(r–1) = n+1Cr
116. Sum of n terms of AP = n/2[2a + (n–1)d]
117. Sum of n terms of GP = a(1–rⁿ)/(1–r)

Attempt Free Probability Tests and Check Your Prep. Level

Download Free PDF of Quant Formulas for SSC CHSL

Here, we have provided a PDF that contains all the formulas that we have provided above. You are advised to download this PDF, take a printout of it, and paste it on your study desk. Doing this will help you learn and revise these formulas easily and quickly. Pasting it in front of you will allow you to glance at the formulas regularly, reinforce your memory through frequent visual exposure, and ensure quick revision without having to search for them repeatedly.

Smart Strategy to Learn Quant Formulas for SSC CHSL 2025

Learning Quantitative Aptitude formulas for exams like SSC CHSL doesn’t have to be overwhelming. Forget complex rote learning; we’re using a smart, human approach to make them stick quickly and permanently.

• Group the Topics Smartly: Don’t study Algebra one day and Mensuration the next. Group formulas based on their core math concept. For example, cluster Profit/Loss, Discount, SI, and CI are all variations of percentage calculation.
• Visualize: When you look at Time = Distance/Speed, picture a car covering a long road. That mental image makes the formula’s logic immediate, so you can always re-derive it under pressure.
• Derive the Relatives: Master the one root formula for each topic. Learn Speed = D/T, and you automatically know that D = S * T and T = D/S. In this way, you can see that’s one formula, not three!
• Flashcard Power-Play: Use flashcards (or digital notes) for Active Recall. Write the name of the formula on one side (“Volume of a Cone”) and the actual formula on the back. Force yourself to recall the answer before flipping. Do this for 15 minutes in the morning and 15 minutes before sleep.
• The 5-Question Rule: After reviewing any formula, immediately solve at least 5 questions that require it. Formulas become unbreakable when your brain sees them in action, not just on a page.
• Test Yourself Blindly: Once a week, take a blank sheet of paper and write down all the formulas for two chapters from memory. Highlight the ones you miss. This pinpoint accuracy tells you exactly what to study next, saving you a lot of time on concepts you already know.

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FAQs: Top 100+ Quant Formulas for SSC CHSL 2025 Exam

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