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Mathematics Practice MCQs
Question 1 of 39
Q.1 What is the formula for calculating simple interest?
- SI = (P x R x T) / 100
- SI = (P x R) / T
- SI = (P + R + T) / 100
- SI = (R x T) / P
Answer ✔ (a) SI = (P x R x T) / 100
Explanation: The correct formula for simple interest is (P x R x T) / 100
Question 2 of 39
Q.2 What does 'P' represent in the simple interest formula?
- Rate of interest
- Time period
- Principal amount
- Final amount
Answer ✔ (c) Principal amount
Explanation: 'P' stands for the principal amount in the simple interest formula
Question 3 of 39
Q.3 If the principal is ₹1,000, the rate of interest is 5% per annum, and the time is 2 years, what is the simple interest?
- ₹100
- ₹200
- ₹300
- ₹400
Answer ✔ (b) ₹200
Explanation: Simple interest is calculated using SI = (P x R x T) / 100
Question 4 of 39
Q.4 Compound interest is calculated on:
- Principal only
- Principal and accrued interest
- Rate of interest
- Time period only
Answer ✔ (b) Principal and accrued interest
Explanation: Compound interest is calculated on both principal and accrued interest
Question 5 of 39
Q.5 What is the formula for calculating compound interest annually?
- A = P(1 + R/100)^T
- A = P + (R x T) / 100
- A = P x R x T
- A = P x T x (R / 100)
Answer ✔ (a) A = P(1 + R/100)^T
Explanation: Compound interest formula is A = P(1 + R/100)^T
Question 6 of 39
Q.6 If a sum of ₹2,000 is invested at an interest rate of 6% per annum compounded annually for 3 years, what will be the amount after 3 years?
- ₹2,120
- ₹2,382.03
- ₹2,000
- ₹2,500
Answer ✔ (b) ₹2,382.03
Explanation: The final amount is calculated using the compound interest formula A = P(1 + R/100)^T
Question 7 of 39
Q.7 The difference between simple interest and compound interest on ₹5,000 for 2 years at a rate of 5% per annum is:
- ₹6.25
- ₹12.50
- ₹25
- ₹50
Answer ✔ (b) ₹12.50
Explanation: The difference is ₹12.50 due to the compound effect over 2 years
Question 8 of 39
Q.8 If the interest is compounded half-yearly, how many times per year is the interest compounded?
- 1
- 2
- 3
- 4
Answer ✔ (b) 2
Explanation: Half-yearly compounding means the interest is compounded twice a year
Question 9 of 39
Q.9 In compound interest, if the interest is compounded quarterly, the number of compounding periods in a year is:
- 1
- 2
- 3
- 4
Answer ✔ (d) 4
Explanation: Quarterly compounding means the interest is compounded 4 times a year
Question 10 of 39
Q.10 A sum of money becomes ₹6,000 in 2 years and ₹6,600 in 3 years at compound interest. What is the rate of interest?
- 5%
- 10%
- 15%
- 20%
Answer ✔ (b) 10%
Explanation: The rate of interest is 10% based on the growth from ₹6,000 to ₹6,600 in one year
Question 11 of 39
Q.11 A sum of ₹8,000 amounts to ₹9,261 in 2 years at compound interest. What is the rate of interest?
- 5%
- 7.5%
- 10%
- 12.5%
Answer ✔ (c) 10%
Explanation: The sum increased at a rate of 10% per annum
Question 12 of 39
Q.12 The simple interest on a sum of ₹12,000 at 6% per annum for 4 years is:
- ₹2,880
- ₹2,400
- ₹3,000
- ₹2,700
Answer ✔ (a) ₹2,880
Explanation: Simple interest is calculated using the formula SI = (P x R x T) / 100
Question 13 of 39
Q.13 In how many years will a sum of ₹1,000 become ₹1,210 at 10% compound interest per annum?
- 1 year
- 2 years
- 3 years
- 4 years
Answer ✔ (b) 2 years
Explanation: The sum will amount to ₹1,210 in 2 years at 10% compound interest
Question 14 of 39
Q.14 The difference between compound interest and simple interest on a sum of ₹5,000 for 3 years at 8% per annum is:
- ₹24
- ₹32
- ₹40
- ₹50
Answer ✔ (c) ₹40
Explanation: The difference is ₹40 due to compounding
Question 15 of 39
Q.15 What is the compound interest on ₹10,000 at 5% per annum compounded yearly for 2 years?
- ₹1,000
- ₹1,025
- ₹1,050
- ₹1,100
Answer ✔ (b) ₹1,025
Explanation: The compound interest after 2 years is ₹1,025
Question 16 of 39
Q.16 At what rate of simple interest will a sum of money double itself in 12 years?
- 8.33%
- 10%
- 12%
- 14%
Answer ✔ (b) 10%
Explanation: The rate of interest should be 8.33% for the sum to double in 12 years
Question 17 of 39
Q.17 If ₹6,000 becomes ₹7,200 in 2 years at simple interest, what is the rate of interest?
- 10%
- 12%
- 15%
- 20%
Answer ✔ (b) 12%
Explanation: The rate of interest is 10% using SI = (P x R x T) / 100
Question 18 of 39
Q.18 At what rate will ₹10,000 amount to ₹11,000 in 2 years at compound interest?
- 4.88%
- 5%
- 9.53%
- 10%
Answer ✔ (a) 4.88%
Explanation: The rate is approximately 4.88%, calculated using the compound interest formula
Question 19 of 39
Q.19 The simple interest on ₹5,000 at 8% per annum for 3 years is:
- ₹1,200
- ₹1,000
- ₹1,400
- ₹1,600
Answer ✔ (a) ₹1,200
Explanation: The simple interest is calculated as ₹1,200
Question 20 of 39
Q.20 The compound interest on ₹4,000 for 2 years at 5% per annum compounded annually is:
- ₹410
- ₹400
- ₹420
- ₹450
Answer ✔ (a) ₹410
Explanation: The compound interest is ₹410 calculated using the compound interest formula
Question 21 of 39
Q.1 14 persons can complete a work in 16 days, 8 persons started the work 12 days after they started the work, 8 more peoples joined them. How many days will they take to complete the remaining work
- 12
- 8
- 9
- 5
Answer ✔ (b) 8
Explanation: 14 persons complete in 16days = 1 work, =>8 persons complete in 12 days = (1x8)/14 x 12/16 = 3/7 , =>remaining work = 1- 3/7 = 4/7 and total no. of persons = 8+8 , 14 persons do 1 work in =16 day, 16 persons do 4/7 work in = 16 x14 /16 x 4/7 = 8 days Ans.
Question 22 of 39
Q.2 A train running at 90 km/hr crosses a pole in 10 seconds. What is the length of train?
- 250 m
- 150 m
- 900 m
- none of these
Answer ✔ (a) 250 m
Explanation: speed of train = Length of train / time taken to cross
Question 23 of 39
Q.3 When a 192 meter long rod is cut down into small pieces of length 3.2 meter each. Then how many pieces are available?
- 52
- 68
- 60
- 58
Answer ✔ (c) 60
Explanation: required no. of pieces = 192/3.2 = 60
Question 24 of 39
Q.4 The ratio between the present age of Sudhir and Madan is 4:5 , if after five years the ratio of their age becomes 5 : 6, what is the present age of Sudhir?
- 18 years
- 20 years
- 22 years
- 21 years
Answer ✔ (b) 20 years
Question 25 of 39
Q.5 The sum of three consecutive odd numbers is 20 more than the first number of these. What is the middle number?
- 7
- 8
- 12
- 9
Answer ✔ (d) 9
Question 26 of 39
Q.6 If one-third of a number is 10 more than one fourth of the same number, what is 60% of that number?
- 144
- 24
- 18
- 72
Answer ✔ (d) 72
Question 27 of 39
Q.7 If the length and breadth of a rectangular plot are increased by 50% and 20% respectively, how many times will be the new area of the old area?
- 1 and 4/5
- 2
- 3 and 2/5
- 5 and 1/5
Answer ✔ (a) 1 and 4/5
Question 28 of 39
Q.8 A rectangular plot is 50m long and 20 m broad. Inside it there is a path of 7 m wide all round it. What is the area of the path?
- 216 sq. m
- 1000 sq.m
- 1216 sq. m
- 784 sq. m
Answer ✔ (d) 784 sq. m
Question 29 of 39
Q.9 Find the compound interest of Rs. 10,000 in 9 months at 4% per annum interest payable quarterly.
- Rs. 300
- Rs. 310
- Rs 303
- Rs 303.01
Answer ✔ (d) Rs 303.01
Question 30 of 39
Q.10 Find out the ratio whose value is 2/3 and the antecedent is 18
- 18:27
- 02:03
- 20:30
- 180:270
Answer ✔ (a) 18:27
Explanation: The two quantties compared in a ratio is called its items. The first term is called antecedent, the second the consequent.
Question 31 of 39
Q.1 If 3 men and 4 boys complete a work in 7 days and 2 men and 3 boys do the same work in 10 days . In
- 5 days
- 3 days
- 7 days
- 6 days
Answer ✔ (a) 5 days
Explanation:
Question 32 of 39
Q.1 In an election between two candidates 10% voters doesn’t cast their votes and 85 votes were de
- 400
- 600
- 800
- 1000
Answer ✔ (c) 800
Explanation: Lets take total votes =100% 10%doesn’t cast their votes So, (100-90) = 90% cast their votes. total valid votes = 90% -85 one candidate get 50% of votes of voters list. So, other candidate get = (90% - 85 )-50%= 40% - 85 so ,50 % - (40% - 85) = 165 50% - 40% + 85 = 165 10% = 80 100 % = 800 So total voters is 800
Question 33 of 39
Q.1 A Trader Who Marks His Good Upto 50% And Offered Discount Of 20% . What % Profit The Trade Makes After Offering The Payment?
- 15%
- 20%
- 25%
- 40%
Answer ✔ (b) 20%
Explanation: Sol. Let cp = 100, MRP = 150
\( sp = 150 \times {80 \over 100} \)
\( = Rs. 120 \)
Hence, Profit = 20%
[short trick:]
By successive formula
\( x+y+{xy \over 100} \)
\( 50-20+{50 \times (-20) \over 100} \)
30 – 10 = 20%
Question 34 of 39
Q.1 What number has 5 to 1 ratio to the number 10?
- 42
- 55
- 50
- 60
Answer ✔ (c) 50
Explanation: Given, ratio is 5 : 1 that means antecedent is 5 times greater than the consequent.
Given consequent = 10, so the number is 10 × 5 = 50 answer.
Question 35 of 39
Q.2 There are 120 students in a picnic tour, if ratio of girls and boys is 5 : 7 then how many boys are in this tour?
- 50
- 70
- 55
- 120
Answer ✔ (b) 70
Explanation: Given ratio of girls : boys = 5 : 7 = 5/7
multiplying the antecedent and consequent by the same number, let by x,
girls = 5x, and boys = 7x
total = 120;
as par given 5x + 7x = 120
=> x = 120/12 = 10
hence, girls = 5 × 10 = 50
and Boys = 7 × 10 = 70 answer
Question 36 of 39
Q.3 in 3 : 5 , here 3 is
- antecedent
- consequent
- means
- extremes
Answer ✔ (a) antecedent
Explanation: in a ratio the first term is called antecedent and the second term is called consequent. in 3 : 5, 3 is antecedent and 5 is consequent, means and extremes are terms used in case of proportion
i.e. 1 : 2 :: 2 : 4, here 1 and 4 are extremes and 2 and 2 are means.
Question 37 of 39
Q.1 The average weight of A, B and C is 45 kg, that of A and B is 40 kg and B and C is 43 kg. What is the weight of B?
- 17 kg
- 26 kg
- 20 kg
- 31 kg
Answer ✔ (d) 31 kg
Explanation: Weight of A+B+C = 45 × 3 = 135 kg .....(i)
Wt. Of A+B = 40 × 2 = 80 kg .....(ii)
Weight of B + C = 43 × 2 = 86 kg ......
(iii)
Now on adding (ii) and (iii),
wt. of A+2B+C = 166kg
A+B+ C = 135 kg ....given (i)
On Subtracting (i)
B = 31 kg ..Ans
Question 38 of 39
Q.2 The average of following 5 numbers is 8, find the missing number in 7, 5, 3,12,?.
- 14
- 13
- 8
- 12
Answer ✔ (b) 13
Explanation: The sum of all numbers = 8 × 5 = 40
So, ? = 40 - (7+3+12+5) = 13 Ans.
Question 39 of 39
Q.3 The average of the first three numbers is double of the fourth number. if the average of all the four numbers is 12, find the 4th number.
- 16
- 20
- 18
- 48/7
Answer ✔ (d) 48/7
Explanation: Let the 4th number be x,
Then the average of first three numbers = 2x ,
So the sum of first 3 numbers = 2x × 3 = 6x,
Since the average of 4 numbers = 12.
Then sum of 4 numbers = 12 × 4 = 48.
so, 48 - 6x = x => 7x = 48,
x = 48/7 ..Ans.
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