Remainder when 84 is divided by 3 is
Answer / solution
Correct option: C
84 = 3×28 + 0.
Class 9–12 · Competitive arithmetic
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CBSE formula sheet Class 10 Maths Class 12 Maths Physics Chemistry 150 questions
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Competitive arithmetic formulas
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150 important maths practice questions
Original arithmetic practice for this page. Not labelled as previous-year SSC/railway items. Tap an option to mark it. Open “Answer” for the working.
Score: 0 / 0
(9 + 5) × 3 =
Answer / solution
Correct option: B
Add first: 14 × 3 = 42.
A number 480 is decreased by 15%. The new value is
Answer / solution
Correct option: C
New = 480×(100−15)/100 = 408.
MP = ₹240, discount = 25%. SP is
Answer / solution
Correct option: A
SP = MP×(100−d)/100 = 180.
Divide ₹180 in the ratio 6:7. The first part is
Answer / solution
Correct option: C
First = 6/(13)×180 = 83.
Average of 6 numbers is 32. A new number 40 is added. New average is
Answer / solution
Correct option: C
New avg = (195+40)/7 = 33.
A can finish a work in 18 days, B in 22 days. Together they finish it in (nearest whole day)
Answer / solution
Correct option: D
1/A+1/B = (40)/(396); days ≈ 10.
Inlet fills in 10 h, outlet empties in 14 h. Both open, tank fills in
Answer / solution
Correct option: D
Net = 1/10−1/14 = 4/(140); time = 35 h.
Speed 36 km/h for 2 hours. Distance is
Answer / solution
Correct option: B
D = S×T = 72 km.
Still water 14 km/h, current 2 km/h. Downstream speed is
Answer / solution
Correct option: B
u+v = 16.
Amount on ₹2000 at 25% SI for 4 years is
Answer / solution
Correct option: C
Amount = P+SI = 4000.
Amount on ₹2000 at 5% CI for 2 years is
Answer / solution
Correct option: B
P(1+R/100)² = 2205.
A invests 4 units for 8 months, B invests 3 units for 6 months. Profit ₹1800. A’s share is
Answer / solution
Correct option: D
Ratio = capital×time = 32:18; A = 1152.
(8 − 3)² equals
Answer / solution
Correct option: B
a²−2ab+b² = 25.
Each interior angle of a square is
Answer / solution
Correct option: D
A square has four right angles.
Area of a circle radius 7 (π=22/7) is
Answer / solution
Correct option: D
πr² = 22/7×49 = 154.
The value of cos 60° is
Answer / solution
Correct option: A
Standard angle.
Range of 12 and 33 is
Answer / solution
Correct option: A
Largest − smallest.
A fair die is rolled. P(getting 1) is
Answer / solution
Correct option: A
One face out of 6.
P(8,3) equals
Answer / solution
Correct option: C
nPr = 336.
Sales A=20, B=46. How much more is B than A?
Answer / solution
Correct option: A
Difference = 26.
Alligation: cheaper 32, dearer 44, mean 38. Mix ratio (cheap:dear) is
Answer / solution
Correct option: A
Distances from mean are equal, so 1:1.
A is 24, B is 18. Sum of present ages is
Answer / solution
Correct option: C
24+18=42.
HCF of 12 and 18 is
Answer / solution
Correct option: D
HCF = 6.
Unit digit of 12 × 18 is
Answer / solution
Correct option: B
Product = 216; unit digit 6.
(9 + 5) × 2 =
Answer / solution
Correct option: A
Add first: 14 × 2 = 28.
A number 640 is decreased by 35%. The new value is
Answer / solution
Correct option: A
New = 640×(100−35)/100 = 416.
CP = ₹300, SP = ₹350. Profit % is
Answer / solution
Correct option: D
Profit% = (350−300)/300×100 = 16%.
Divide ₹180 in the ratio 5:6. The first part is
Answer / solution
Correct option: A
First = 5/(11)×180 = 81.
Average of 6 numbers is 40. A new number 40 is added. New average is
Answer / solution
Correct option: C
New avg = (243+40)/7 = 40.
A invests 3 units for 8 months, B invests 3 units for 6 months. Profit ₹1800. A’s share is
Answer / solution
Correct option: D
Ratio = capital×time = 24:18; A = 1028.
(8 + 3)² equals
Answer / solution
Correct option: C
a²+2ab+b² = 121.
Range of 9 and 30 is
Answer / solution
Correct option: D
Largest − smallest.
Sales A=36, B=46. How much more is B than A?
Answer / solution
Correct option: C
Difference = 10.
Alligation: cheaper 32, dearer 40, mean 36. Mix ratio (cheap:dear) is
Answer / solution
Correct option: A
Distances from mean are equal, so 1:1.
A is 32, B is 26. Sum of present ages is
Answer / solution
Correct option: B
32+26=58.
HCF of 15 and 25 is
Answer / solution
Correct option: B
HCF = 5.
63 mod 3 is
Answer / solution
Correct option: C
Remainder = 0.
(9 + 5) × 6 =
Answer / solution
Correct option: A
Add first: 14 × 6 = 84.
A number 400 is decreased by 5%. The new value is
Answer / solution
Correct option: A
New = 400×(100−5)/100 = 380.
CP = ₹140, loss = 25%. SP is
Answer / solution
Correct option: B
SP = CP×(100−L)/100 = 105.
Divide ₹180 in the ratio 4:5. The first part is
Answer / solution
Correct option: C
First = 4/(9)×180 = 80.
Average of 6 numbers is 28. A new number 40 is added. New average is
Answer / solution
Correct option: D
New avg = (171+40)/7 = 30.
A invests 2 units for 8 months, B invests 3 units for 6 months. Profit ₹1800. A’s share is
Answer / solution
Correct option: C
Ratio = capital×time = 16:18; A = 847.
If 2x + 4 = 18, then x =
Answer / solution
Correct option: D
2x = 14; x = 7.
Range of 6 and 27 is
Answer / solution
Correct option: C
Largest − smallest.
Sales A=52, B=46. How much more is B than A?
Answer / solution
Correct option: A
Difference = -6.
Alligation: cheaper 32, dearer 56, mean 44. Mix ratio (cheap:dear) is
Answer / solution
Correct option: A
Distances from mean are equal, so 1:1.
A is 20, B is 14. Sum of present ages is
Answer / solution
Correct option: C
20+14=34.
HCF of 6 and 9 is
Answer / solution
Correct option: C
HCF = 3.
The next even number after 39 is
Answer / solution
Correct option: B
Next even = 40.
(9 + 5) × 5 =
Answer / solution
Correct option: D
Add first: 14 × 5 = 70.
A number 560 is decreased by 25%. The new value is
Answer / solution
Correct option: B
New = 560×(100−25)/100 = 420.
CP = ₹300, profit = 25%. SP is
Answer / solution
Correct option: B
SP = CP×(100+P)/100 = 375.
Divide ₹180 in the ratio 3:4. The first part is
Answer / solution
Correct option: A
First = 3/(7)×180 = 77.
Average of 6 numbers is 36. A new number 40 is added. New average is
Answer / solution
Correct option: B
New avg = (219+40)/7 = 37.
A invests 6 units for 8 months, B invests 3 units for 6 months. Profit ₹1800. A’s share is
Answer / solution
Correct option: B
Ratio = capital×time = 48:18; A = 1309.
If x + 3 = 6, then x =
Answer / solution
Correct option: C
x = 6−3 = 3.
Sales A=28, B=46. How much more is B than A?
Answer / solution
Correct option: D
Difference = 18.
Alligation: cheaper 32, dearer 52, mean 42. Mix ratio (cheap:dear) is
Answer / solution
Correct option: A
Distances from mean are equal, so 1:1.
A is 28, B is 22. Sum of present ages is
Answer / solution
Correct option: D
28+22=50.
HCF of 9 and 12 is
Answer / solution
Correct option: C
HCF = 3.
26² equals
Answer / solution
Correct option: A
Square = 676.
(9 + 5) × 4 =
Answer / solution
Correct option: C
Add first: 14 × 4 = 56.
A number 720 is decreased by 45%. The new value is
Answer / solution
Correct option: D
New = 720×(100−45)/100 = 396.
Two successive discounts 10% and 10% equal a single discount of
Answer / solution
Correct option: D
d1+d2−d1d2/100 = 19%.
Divide ₹180 in the ratio 2:3. The first part is
Answer / solution
Correct option: B
First = 2/(5)×180 = 72.
Average of 6 numbers is 24. A new number 40 is added. New average is
Answer / solution
Correct option: B
New avg = (147+40)/7 = 26.
A invests 5 units for 8 months, B invests 3 units for 6 months. Profit ₹1800. A’s share is
Answer / solution
Correct option: C
Ratio = capital×time = 40:18; A = 1241.
8² − 3² equals
Answer / solution
Correct option: D
(a−b)(a+b) = 55.
Sales A=44, B=46. How much more is B than A?
Answer / solution
Correct option: C
Difference = 2.
Alligation: cheaper 32, dearer 48, mean 40. Mix ratio (cheap:dear) is
Answer / solution
Correct option: A
Distances from mean are equal, so 1:1.
A is 36, B is 30. Sum of present ages is
Answer / solution
Correct option: C
36+30=66.
HCF of 7 and 14 is
Answer / solution
Correct option: A
HCF = 7.
Remainder when 120 is divided by 3 is
Answer / solution
Correct option: B
120 = 3×40 + 0.
MP = ₹400, discount = 25%. SP is
Answer / solution
Correct option: C
SP = MP×(100−d)/100 = 300.
CP = ₹140, SP = ₹190. Profit % is
Answer / solution
Correct option: C
Profit% = (190−140)/140×100 = 35%.
CP = ₹300, loss = 25%. SP is
Answer / solution
Correct option: A
SP = CP×(100−L)/100 = 225.
If 2x + 4 = 20, then x =
Answer / solution
Correct option: A
2x = 16; x = 8.
CP = ₹140, profit = 25%. SP is
Answer / solution
Correct option: B
SP = CP×(100+P)/100 = 175.
Remainder when 156 is divided by 3 is
Answer / solution
Correct option: C
156 = 3×52 + 0.
FAQs
Are these previous-year SSC questions?
No year or shift is claimed on these pages. Each maths section has 150 original practice MCQs. When a verified source database exists, a question will show exam + year; until then it is practice.
Where are Class 10 board formulas?
The CBSE formula sheet at /cbse/class-10/mathematics/formulas/ stays the canonical board list. This maths hub links to it instead of copying every line.
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Every shortcut page states when the trick must not be used. A speed trick that fails on close options is not published as if it were a theorem.
