Problem 1 : 

A fruit merchant bought mangoes in bulk. He sold 5/8 of the mangoes. 1/16 of the mangoes were spoiled. 300 mangoes remained with him. How many mangoes did he buy? 

(A) 240 mangoes     (B) 160 mangoes     (C) 960 mangoes

Solution :

Let x be the number of mangoes he bought.


Number of mangoes sold  =  5x/8

Number of mangoes spoiled  =  x/16

Number of mangoes remaining  =  300

Total no. of mangoes -(no. of mangoes sold + no. of mangoes spoiled)  =  no. of mangoes remaining

Then, we have

x - (5x/8 + x/16)  =  300

x - (10x/16 + x/16)  =  300

x -11x/16  =  300

16x/16 - 11x/16  =  300

5x/16  =  300

Multiply each side by 16/5.

x  =  300 ⋅ 16/5

x  =  (300 ⋅ 16) / 5

x  =  (60 ⋅ 16) / 1

x  =  960

So, the fruit merchant bought 960 mangoes. 

Problem 2 :

A family requires 2 1/2 liters of milk per day. How much milk would family require in a month of 31 days?  

(A) 77 ½  liters       (B) 65 ½  liters    (C) 61 ½  liters

Solution :

Milk required for a day  =  2 1/2 liters.

Then, the amount of milk (in liters) required for 31 days is

=  31 ⋅ 2 1/2

=  31 ⋅ 5/2

=  (31 ⋅ 5) / 2

=  155/2

=  77 1/2 

So, the family requires 77 1/2 liters of milk for 31 days. 

Problem 3 :

A ream of paper weighs 12 1/2 kg.  What is the weight per quire ?

(A) 5/8 kg           (B) 3/8 kg        (C) 1/2 kg

Solution :

Weight of 1 ream of paper  =  12 1/2 kg

1 ream = 20 quires 

Then, the weight of 1 quire is

=  12 1/2 ÷ 20

=  25/2 ÷ 20

=  25/2 ÷ 20/1

=  25/2 ⋅ 1/20

=  (25 ⋅ 1) / (2 ⋅ 20)

=  (5 ⋅ 1) / (2 ⋅ 4)

=  5/8

So, the weight of 1 quire of paper is 5/8 kg.

Problem 4 :

It was Richard's birthday. He distributed 6 kg of candies to his friends. If he had given 1/8 kg of candies to each friend, how many friends were there ?

(A) 36 Friends         (B) 48  Friends        (C) 96 Friends

Solution :

Total quantity of candies  =  6 kg

Share of each person  =  1/8 kg

Then, number of friends is 

=  6 ÷  1/8

=  6 ⋅ 8/1

=  (6 ⋅ 8) / 1

=  48

So, there were 48 friends. 

Problem 5 :

6 students went on a picnic.One student agreed to bear half of the expenses. The remaining 5 students shared the remaining expenses equally. What fraction of the expenses does each of 5 students pay?

(A) x/10      (B) x/ 5   (C) x/2

Solution :

Let x be the expense

Expense beared by one student  =  x/2

Remaining expense  =  x/2

Expense shared by the other 5 students  =  (x/2)/5

=  x/10

Problem 6 :

I have 2 ½ times money that David has. If i have $100, how much money does David have?

(A) $50        (B) $70       (C) $40

Solution :

Let x be the amount that David has, then i will have

(2  1/2) ⋅ x.

That is  5x/2.

5x/2  =  100

5x  =  200

x  =  40

So, the amount that David has is $40.

Problem 7 :

In a basket there are two kinds of sweet packets. There are 7 packets of the first kind each weighing 1 ¼ kg and 9 packets of the second kind each weighing ¾ . What is the total weight of the sweets in the basket?

(A) 15 ½ kg           (B) 12 ½ kg          (C) 10 ½ kg

Solution :

Weight of first kind sweet  =  1  1/4 kg  =  5/4

Weight of second kind sweet  =  3/4 kg

Total weight  =  7  (5/4) + 9 ⋅ (3/4)

  =  (35/4) + (27/4)

  =  62/4

  =  31/2

By changing the mixed fraction into improper number, we get 15  1/2 kg.

Problem 8 :

How many half-liter bottles can be filled from a can containing 37 ½ liter of milk? 

(A) 77 bottles      (B) 65 bottles    (C) 75 bottles

Solution :

Quantity of milk  =  37  1/2   =  65/2

Number of half liter bottles can be filled 

  =  (65/2) / (1/2)

  =  (65/2) ⋅ (2/1)

  =  65 bottles

Problem 9 :

A gentleman bought 200 liter of milk for a function. 4/5 of it was used for preparing sweets. 3/4 of the remaining milk was used for preparing coffee. How much of the milk remained ?

(A) 5 liter        (B) 11 liter       (C) 10 liter

Solution :

Original quantity of milk  =  200 liter

Quantity of milk used for preparing sweets 

  =  (4/5) of 200

  =  (4/5) ⋅ 200

=  160

Remaining quantity of milk  =  200 - 160  ==>  40 liter

Quantity of milk used for coffee   =  (3/4) of 40

  =  (3/4) ⋅ 40

=  30 liter

Remaining quantity of milk at the end  =  40 - 30

=  10 liters 

Problem 10 :

Two thirds of a tank can be filled in 18 minutes. How many minutes will it require to fill the whole tank?

(A) 24 minutes      (B) 16 minutes   (C) 27 minutes

Solution :

Let x be the capacity of the tank.

Part of tank filed in 18 minutes  =  2/3 of x

Part of tank to be filled  =  1/3 of x

1/3 of x  =  9 minutes

Time taken to fill the whole tank  =  18 + 9

  =  27 minutes

Apart from the stuff given in this sectionif you need any other stuff in math, please use our google custom search here

If you have any feedback about our math content, please mail us : 


We always appreciate your feedback. 

You can also visit the following web pages on different stuff in math. 


Variables and constants

Writing and evaluating expressions

Solving linear equations using elimination method

Solving linear equations using substitution method

Solving linear equations using cross multiplication method

Solving one step equations

Solving quadratic equations by factoring

Solving quadratic equations by quadratic formula

Solving quadratic equations by completing square

Nature of the roots of a quadratic equations

Sum and product of the roots of a quadratic equations 

Algebraic identities

Solving absolute value equations 

Solving Absolute value inequalities

Graphing absolute value equations  

Combining like terms

Square root of polynomials 

HCF and LCM 

Remainder theorem

Synthetic division

Logarithmic problems

Simplifying radical expression

Comparing surds

Simplifying logarithmic expressions

Negative exponents rules

Scientific notations

Exponents and power


Quantitative aptitude

Multiplication tricks


Aptitude test online


Test - I

Test - II


Horizontal translation

Vertical translation

Reflection through x -axis

Reflection through y -axis

Horizontal expansion and compression

Vertical  expansion and compression

Rotation transformation

Geometry transformation

Translation transformation

Dilation transformation matrix

Transformations using matrices





Converting customary units worksheet

Converting metric units worksheet

Decimal representation worksheets

Double facts worksheets

Missing addend worksheets

Mensuration worksheets

Geometry worksheets

Comparing  rates worksheet

Customary units worksheet

Metric units worksheet

Complementary and supplementary worksheet

Complementary and supplementary word problems worksheet

Area and perimeter worksheets

Sum of the angles in a triangle is 180 degree worksheet

Types of angles worksheet

Properties of parallelogram worksheet

Proving triangle congruence worksheet

Special line segments in triangles worksheet

Proving trigonometric identities worksheet

Properties of triangle worksheet

Estimating percent worksheets

Quadratic equations word problems worksheet

Integers and absolute value worksheets

Decimal place value worksheets

Distributive property of multiplication worksheet - I

Distributive property of multiplication worksheet - II

Writing and evaluating expressions worksheet

Nature of the roots of a quadratic equation worksheets

Determine if the relationship is proportional worksheet



Trigonometric ratio table

Problems on trigonometric ratios

Trigonometric ratios of some specific angles

ASTC formula

All silver tea cups

All students take calculus 

All sin tan cos rule

Trigonometric ratios of some negative angles

Trigonometric ratios of 90 degree minus theta

Trigonometric ratios of 90 degree plus theta

Trigonometric ratios of 180 degree plus theta

Trigonometric ratios of 180 degree minus theta

Trigonometric ratios of 180 degree plus theta

Trigonometric ratios of 270 degree minus theta

Trigonometric ratios of 270 degree plus theta

Trigonometric ratios of angles greater than or equal to 360 degree

Trigonometric ratios of complementary angles

Trigonometric ratios of supplementary angles 

Trigonometric identities 

Problems on trigonometric identities 

Trigonometry heights and distances

Domain and range of trigonometric functions 

Domain and range of inverse  trigonometric functions

Solving word problems in trigonometry

Pythagorean theorem


Mensuration formulas

Area and perimeter



Types of angles 

Types of triangles

Properties of triangle

Sum of the angle in a triangle is 180 degree

Properties of parallelogram

Construction of triangles - I 

Construction of triangles - II

Construction of triangles - III

Construction of angles - I 

Construction of angles - II

Construction angle bisector

Construction of perpendicular

Construction of perpendicular bisector

Geometry dictionary

Geometry questions 

Angle bisector theorem

Basic proportionality theorem


Coordinate geometry formulas

Distance between two points

Different forms equations of straight lines

Point of intersection

Slope of the line 

Perpendicular distance


Area of triangle

Area of quadrilateral



Matrix Calculators

Coordinate geometry calculators

Statistics calculators

Mensuration calculators

Algebra calculators

Chemistry periodic calculator


Missing addend 

Double facts 

Doubles word problems


Direct proportion and inverse proportion

Constant of proportionality 

Unitary method direct variation

Unitary method inverse variation

Unitary method time and work


Order of rotational symmetry

Order of rotational symmetry of a circle

Order of rotational symmetry of a square

Lines of symmetry


Converting metric units

Converting customary units


HCF and LCM  word problems

Word problems on simple equations 

Word problems on linear equations 

Word problems on quadratic equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation 

Word problems on unit price

Word problems on unit rate 

Word problems on comparing rates

Converting customary units word problems 

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles 

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems 

Profit and loss word problems 

Markup and markdown word problems 

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed 

Word problems on sum of the angles of a triangle is 180 degree


Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6