Comprehensions Based on StoriesStory based comprehensions are generally very easy to understand but read them carefully so that you can answer the questions based on them. Some examples are given below to make your understanding better.
Example 1
Read the passage given below and answer the questions that follow:One fine morning, when the sky began to get dark, Little Worm peeped out of his hole. He looked up, saw the clouds becoming bigger, and knew just then that it was going to rain. Rainy days were his favourite days. Little Worm was always ready for a rainy day. He pulled out his raincoat and put it on. He looked all over for his cap but could not find it. So he picked up his umbrella and came out of his home. Just then he felt a drop of water on his head. Little Worm's face brightened up. Then he felt a few more drops and then many more. Soon it was pouring, and little Worm's heart was filled with glee.Little Worm saw his friend Big Worm approaching. Big Worm did not have a raincoat on or an umbrella. Little Worm went up to him and asked, "Big Worm, are you having fun in the rain?" "Sure I am," replied Big Worm, "and you can join me. Toss out your raincoat and umbrella and enjoy the rain." Little Worm did just that and felt the raindrops all over him. The two worms danced and sang together in the rain and had a wonderful time.1.Little worm was always ready for a _________. (a) worm day (b) cold day (c) rainy day (d) normal day (e) None of these2.Little Worm's heart was filled with _________. more...
Ones, Tens, Hundreds and ThousandsIdentifying Ones and TensIn any number, first number from the right is called ones and second number from the right is called tens. The place value of digit at tens is obtained by multiplying the number by 10.
Example:
What is the place value of 6 in the number 67?(a) 60 (b) 10(c) 70 (d) All the above(e) None of theseAns. (a)Explanation: 67 = 6 tens + 7 ones. Therefore place value of 6 is 60.
Example:
A four digit number is 23 less than the four digit greatest number. What will be the digit at tens place?(a) 6 (b) 7(c) 5 (d) All the above(e) None of theseAns. (b)Explanation: Four digit greatest number is 9999. Required number is 9999 - 23 = 9976. Digit at second place from right is 7. Therefore, option (b) is correct.Identifying Hundreds in a NumberFor the identification of hundreds in a number, the number should be of three or more digits. To obtain the place value of digit at hundreds place, the digit is multiplied by 100. more...
AdditionAddition is the method by which we can add two or more quantities. Therefore; in an addition two or more numbers are involved. Before knowing the rules of the addition, look at the following.Let us add: 5 + 9Therefore, 5 + 9 = 14
Example:
How many erasers are there in all, if a boy has 6 erasers and his sister has 8 erasers? (a) 14 erasers (b) 19 erasers (c) 21 erasers (d) All the above (e) None of theseAns. (a) Explanation: Total number of erasers = 6 + 8 = 14. Therefore, option (a) is correct,
Example:
There are 4 mango tree in each row in a mango garden. How many mango trees are there in all, if 4 rows are there in a garden? (a) 18 (b) 16 (c) 15 (d) All the above (e) None of theseAns. (b) Explanation: Total number of mango trees = 4 + 4 + 4 + 4 = 16. Therefore, option (b) is correct. Rules for Addition The following are the rules for the addition of more than one digit numbers. more...
SubtractionSubtraction of Two NumbersWhen one quantity is taken away from another, the result is called subtraction or difference.
Example:
87 - 69 = 18Subtraction of Three NumbersRemember the steps for the subtraction:Step I: Add the numbers having '-'(minus) sign and write the result with-sign. Step II: Add the numbers having ?+? (plus) sign and write the result with + sign. This method is applied when addition and subtraction are given. Simultaneously.Step III: Finally subtract the numbers.
Example:
\[[\,45\,]-[\,33\,]-[\,2\,]=[\,10\,]\]Trick:Step I: \[[\,33\,]+[\,2\,]\]Step II: is not applicable here.Step III:NOTE: This method goes same for any subtraction. No matter, how many numbers are involved in the given subtraction problem. In another words this method is applied for the subtraction of 2 numbers; 3 numbers; 4 numbers; 5 numbers and so on.Subtraction of Four NumbersLet's understand it through an example:
Multiplication and DivisionMultiplication by Repeated AdditionMultiplication is the repeated addition. Multiplication of 5 and 4 is written as 5 \[\times \] 4 = 5 + 5 + 5 + 5 = 20. Let?s understand this through an example:
Example:
There are two paper boxes of oranges each contains 24 oranges. How many oranges are there in all?24 \[\times \] 2 = 24 + 24 = 48. Therefore, total oranges in both the boxes will be 48.Multiplication of Two NumbersThe following are the steps for the multiplication of two numbers. For example multiply 12 and 2.Step I:Write down the numbers to be multiplied in columns as shown below:Step II:Multiply ones as below:2 Ones \[\times \] 2 = 4 OnesIt is written as:Step III:Multiply tens as shown below:1 tens \[\times \] 2 = 2 tens Write 2 under tens column. \[\begin{matrix} T & O \\ 1 & 2 \\ \times & 2 \\ {} & 4 \\\end{matrix}\]Therefore the product of 12 and 2 = 24 more...
ComparisonComparison of NumbersComparison is required to find the greater, smaller and equal numbers among the given numbers. The common symbols for the comparison are;> is called 'greater than';< is called less than/;= is called equal sign.
Example:
Compare the given numbers and put suitable symbol between them. 5 kilometres ________ 4090 (a) > (b) <(c) = (d) All the above(e) None of theseAns. (a)Explanation: 5 km = 5 \[\times \] 1000 metre = 5000 metres. Therefore, option (a) is correct.Rules for Comparison1. A three digit number is always greater than a two digit number.2. If two numbers have the same number of digits, then digits on the extreme left are compared and in this case, the number with greater digit is bigger.3. If two numbers have the same number of digits and the extreme left digits are the same, then the second digit from the left side are compared and the process goes on.
Example:
Which one of the following is not correct?(a) 556 > 567 (b) 554 < 555(c) 598 = 598 more...
Time and CalendarHours, Minutes and SecondsHour, minute and second are the unit for the measurement of time.24 hours = 1 day;1 hour = 60 minutes;1 minute = 60 seconds;Hence, 1 hour = 60 \[\times \] 60 = 3600 seconds.
Example:
Convert 5 hours in(a) 18000 seconds (b) 19000 seconds(c) 21000 seconds (d) All the aboveAns. (a)Explanation: 1 hour = 60 \[\times \] 60 seconds = 3600 seconds. So 5 hours = 5 \[\times \] 3600 seconds = 18000 seconds.ClocksClocks are the devices for measuring and indicating time. See the examples given below:The small hand in a clock is for hour and the big hand is for the measurement of minute.
Example:
Hour hand of a clock is at 3 and minute hand is at 4 then the time will be:(a) 3 : 20 (b) 3 : 50(c) 3 : 10 (d) All the above(e) None of theseAns. more...
Geometrical FiguresLineLet's see the lines given below:
Example:
Give the name of all slant lines from the figure given below.(a) AD and BC (b) AB and BC(c) AB and AD (d) All the above(e) None of theseAns. (a)
Example:
Which one of the following is correct about the line?(a) A straight line is measured by ruler.(b) A straight line cannot be measured by ruler(c) A straight line is measured in grams,(d) All the above(e) None of theseAns. (a)Note: We use ruler to measure a straight line.AngleAn angle is formed at the meeting point of two lines or an angle is formed when two lines meet. The point where two lines meet is called vertex. See the figures given below:
MeasurementMeasurement of LengthThere are various units for the measurement of the length. These are metre, centimetres, kilometres etc. The standard unit for the measurement of the length is metre. 1 centimetre = 10 millimetres1 metre = 100 centimetres1 kilometre = 1000 metres
Example:
A rope is 45 centimetres long. What will be the length of the rope in millimetres?(a) 450 millimetres (b) 4500 millimetres(c) 405 millimetres (d) All the above(e) None of theseAns. (a)Explanation: 1 cm = 10 millimetres, 45 cm = 450 millimetres
Example:
What will be the length of each equal side of a triangle, if the sum of the length of its three sides is 15 cm? (a) 4 cm (b) 5 cm(c) 3 cm (d) All the above(e) None of theseAns. (b)Explanation: Each side = \[\frac{15}{3}\]= 5 cm.Conversion Between Metre and Centimetre1 metre = 1 \[\times \] 100 = 100 centimetre2 metres = 2 \[\times \] 100 = 200 centimetres100 metres more...