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Mathematics Practice MCQs
1 of 19
Directions: This Question is based on work and time problems
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.
Mathematics
2 of 19
Directions: Time and distance based problem
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
Mathematics
3 of 19
Directions: Unitary Method
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
Mathematics
4 of 19
Directions: Problem based on ages
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
Mathematics
5 of 19
Directions: Problems based on numbers
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
Mathematics
6 of 19
Directions: Problems based on numbers
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
Mathematics
7 of 19
Directions: Area
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
Mathematics
8 of 19
Directions: Area
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
Mathematics
9 of 19
Directions: Compound interest
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
Mathematics
10 of 19
Directions: Ratio and compound ratio
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.
Mathematics
11 of 19
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:
Mathematics
12 of 19
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
Mathematics
13 of 19
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%
Mathematics
14 of 19
Directions: use basic concept of ratio and proportion to solve these questions
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.
Mathematics • Class 5th
15 of 19
Directions: simple ratio problem based on 5th standard,
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
Mathematics • Class 5th
16 of 19
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.
Mathematics • Class 5th
17 of 19
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
Mathematics
18 of 19
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.
Mathematics
19 of 19
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.
Mathematics
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