Skip to content

NCERT Solutions for Class 5 Maths Chapter 12 Racing Seconds (PDF) – 2027

NCERT Solutions for Class 5 Maths Chapter 12 Racing Seconds – step-by-step answers to every exercise and in-text question of the chapter, as per the latest NCERT syllabus for 2027. Read them online or download the free question-answer PDF.

Chapter 12 of Math Mela is about time. Raghav’s morning yoga, a 200 m walking race at school, and a set of wall clocks bring in a brand new unit — the second. The chapter teaches you to read a clock with three hands, to write the same time in the 12-hour and the 24-hour way, to change hours into minutes and minutes into seconds, and to work out how long something took. The big idea: time is counted in sixties, not in tens.

NCERT Solutions for Class 5 Maths Chapter 12 Racing Seconds PDF

All the answers are on this page below. The PDF also explains every answer – why it is right and how to check it – so download it for revision.

PDFChapterDownload
Solutions PDF (English medium)Racing SecondsView PDF
Solutions PDF (Hindi medium)दौड़ते सेकंडView PDF

NCERT Solutions for Class 5 Maths Chapter 12 Racing Seconds – Questions and Answers

All 53 questions of the chapter (textbook pages 155 – 163) are answered below, in the order of the book – in-text questions, activities and the end-of-chapter exercises. Each answer is written the way you would write it in the exam.

Let us find out — Page 155Raghav’s yoga clocks, time elapsed, and the painting table

Let us find out
Q1At what time did Raghav start practising Yoga?
123456789101112123456789101112
The wall clocks in the two pictures on page 155 — left: Raghav standing with folded hands; right: Raghav sitting in the yoga pose. The long orange hand is the minute hand and the short blue hand is the hour hand.
Answer

Raghav started at 05:35 a.m. That is 25 minutes before six in the morning.

Hour hand → between 5 and 6 → hour = 5
Minute hand → on 7 → 7 × 5 = 35 minutes
Time = 05:35 a.m.
Q2At what time did he finish?
123456789101112123456789101112
The wall clocks in the two pictures on page 155 — left: Raghav standing with folded hands; right: Raghav sitting in the yoga pose. The long orange hand is the minute hand and the short blue hand is the hour hand.
Answer

Raghav finished at 05:55 a.m. — five minutes before six.

Minute hand on 11 → 11 × 5 = 55 minutes
Finishing time = 05:55 a.m.
Q3How much time did he spend practising Yoga?
123456789101112123456789101112
The wall clocks in the two pictures on page 155 — left: Raghav standing with folded hands; right: Raghav sitting in the yoga pose. The long orange hand is the minute hand and the short blue hand is the hour hand.
Answer

He practised for 20 minutes.

Finish time = 05 : 55
Start time  = 05 : 35
Difference  = 00 : 20
Raghav practised yoga for 20 minutes
Q4 (a)Find the time elapsed between the given time periods. Share your strategies. (a) 01:15 p.m. to 01:42 p.m.?
Answer

27 minutes.

01 : 42  (later time)
01 : 15  (earlier time)
─────────
00 : 27  → 27 minutes
Q4 (b)Find the time elapsed between the given time periods. (b) 03:18 p.m. to 08:18 p.m.?
Answer

5 hours.

08 : 18  (later time)
03 : 18  (earlier time)
─────────
05 : 00  → 5 hours
Q4 (c)Find the time elapsed between the given time periods. (c) 09:15 a.m. to 11:30 a.m.?
Answer

2 hours 15 minutes.

09:15 a.m. → 11:15 a.m. = 2 hours
11:15 a.m. → 11:30 a.m. = 15 minutes
Time elapsed = 2 hours 15 minutes
Q5 (a)The table below shows the time taken by 3 children to paint a picture.
NameTime Taken
Raghav1 hour 20 minutes
Rani2 hours 10 minutes
Ritu1 hour 35 minutes
Page 155, Question 5 — the table printed in the book.

(a) Who took the longest time?

Answer

Rani took the longest time — 2 hours 10 minutes.

  1. Raghav: 1 hour 20 minutes = 60 + 20 = 80 minutes.
  2. Rani: 2 hours 10 minutes = 60 + 60 + 10 = 130 minutes.
  3. Ritu: 1 hour 35 minutes = 60 + 35 = 95 minutes.
  4. Compare: 130 > 95 > 80.
Q5 (b)
NameTime Taken
Raghav1 hour 20 minutes
Rani2 hours 10 minutes
Ritu1 hour 35 minutes
Page 155, Question 5 — the table printed in the book.

(b) Who took the least time?

Answer

Raghav took the least time — 1 hour 20 minutes.

Raghav = 80 minutes
Ritu    = 95 minutes
Rani    = 130 minutes
The smallest of these is 80, so Raghav was quickest

Let us find out (continued) — Page 15612-hour format and 24-hour format

Let us find out
Q6

Fill in the blanks by writing the time in the appropriate format.

Time in 12-hour formatTime in 24-hour format
05:30 a.m.05:30 hours
…………08:35 hours
11:55 a.m.……… hours
02:30 p.m.14:30 hours
05:30 p.m.……… hours
09:35 p.m.……… hours
Answer

The completed table:

Time in 12-hour formatTime in 24-hour format
05:30 a.m.05:30 hours
08:35 a.m.08:35 hours
11:55 a.m.11:55 hours
02:30 p.m.14:30 hours
05:30 p.m.17:30 hours
09:35 p.m.21:35 hours
08:35 hours is before 12, so it is morning → 08:35 a.m.
11:55 a.m. is morning → 11:55 hours
05:30 p.m. → 5 + 12 = 17 → 17:30 hours
09:35 p.m. → 9 + 12 = 21 → 21:35 hours
Q7

Match the following.

Time in 12-hour formatTime in 24-hour format
06:30 a.m.01:30 hours
08:45 p.m.23:45 hours
11:45 p.m.06:30 hours
04:30 a.m.20:45 hours
07:30 p.m.04:30 hours
01:30 a.m.19:30 hours
Answer

Here are the six correct pairs.

12-hour formatWorking24-hour format
06:30 a.m.morning, so no change06:30 hours
08:45 p.m.8 + 12 = 2020:45 hours
11:45 p.m.11 + 12 = 2323:45 hours
04:30 a.m.morning, so no change04:30 hours
07:30 p.m.7 + 12 = 1919:30 hours
01:30 a.m.after midnight, so no change01:30 hours

School Race — Page 157Seconds — a new and smaller unit of time

School Race
Q1Do you notice the use of a new unit ‘seconds’ in the picture?
200 m2Min. Sec.01:561Min. Sec.01:553Min. Sec.01:57
Page 156, “School Race” — the winners’ stand after the 200 m walking race. Each board shows the time in minutes and seconds.
Answer

Yes. The three little boards on the winners’ podium say Min. Sec. at the top. So each timing is given in minutes and seconds, not in hours and minutes.

Read the three boards in your book:

Podium placeBoard showsMeans
101 : 551 minute 55 seconds
201 : 561 minute 56 seconds
301 : 571 minute 57 seconds
The book’s new fact: 1 min = 60 seconds
Q2In situations like a race, ‘seconds’ help us observe small differences in time taken by participants. Each participant took 1 minute but how much more?
Answer

Each girl took 1 full minute and then some extra seconds — 55, 56 and 57 seconds more.

1 min 55 s = 60 + 55 = 115 seconds
1 min 56 s = 60 + 56 = 116 seconds
1 min 57 s = 60 + 57 = 117 seconds
Q3Identify the child who won the race. How much time did the child take?
Answer

The girl standing on box number 1 won the race. She is the one in the red T-shirt with her fist raised and the gold medal round her neck. She took 1 minute 55 seconds.

Winning time = 1 minute 55 seconds
= 60 s + 55 s = 115 seconds

Let Us Do — Page 157Seconds or minutes? Tick the right cell

Let Us Do
Q1

Estimate whether you would take seconds or minutes to complete the following activities. Tick the appropriate cell.

ActivitySecondsMinutes
Blinking of eyes
Switching on and switching off the lights
Counting from 1–20
Filling a glass from the tap
Melting of an ice-cube
Making a phone call
Sitting down on the floor
Drinking a glass of water
Snapping fingers
Washing hands
Answer

Here is the table with a tick in the sensible cell for each activity, and a rough time so you can see why.

ActivitySecondsMinutesAbout how long
Blinking of eyes✓less than 1 second
Switching on and switching off the lights✓about 2 seconds
Counting from 1–20✓about 10 seconds
Filling a glass from the tap✓about 10 seconds
Melting of an ice-cube✓15 minutes or more
Making a phone call✓a few minutes
Sitting down on the floor✓about 3 seconds
Drinking a glass of water✓about 10 seconds
Snapping fingers✓less than 1 second
Washing hands✓about 20–30 seconds

In-text Questions — Page 158Your own list, and how many you can do in a minute

Write in the box
Q1List events other than the ones listed above that you can do or that can happen in less than a minute or in a few seconds.
Answer

Write your own list on the dotted lines in the book. Anything you can finish before the seconds hand goes once round belongs here.

  • Tying my shoelaces — about 20 seconds
  • Sharpening a pencil — about 15 seconds
  • Clapping 20 times — about 10 seconds
  • Writing my full name — about 10 seconds
  • Opening my school bag and taking out a book — about 8 seconds
  • Drinking a glass of buttermilk — about 20 seconds
Q2

Estimate and verify how many of these you can do in a minute.

ActivityEstimated NumberActual Number
Number of balloons blown
Number of push-ups
Number of breaths
Number of hops on one leg
Answer

First write your guess (the estimate). Then do the activity for one minute while a friend watches the seconds hand, and write what you counted (the actual number).

Sample answer (this is what one Class 5 student got — yours will be different, and that is fine):

ActivityEstimated NumberActual Number
Number of balloons blown43
Number of push-ups2014
Number of breaths2518
Number of hops on one leg5062

Let Us Find — Page 158Three things to measure with a seconds hand

Let Us Find
Q1Find out the number of times you can skip the rope in 10 seconds.
Answer

A friend watches the seconds hand for 10 seconds (two big numbers, for example from 12 to 2) while you skip and count.

Sample answer: I skipped 18 times in 10 seconds.

18 skips in 10 seconds
In 60 seconds (1 minute) that would be about 6 × 18 = 108 skips
Q2How long does it take you to write the word FRIEND?
Answer

Time yourself with a clock that has a seconds hand.

Sample answer: I took 5 seconds to write FRIEND in capital letters.

FRIEND has 6 letters
6 letters in 5 seconds → a little under 1 second per letter
Q3How long does it take you to run 100m?
Answer

Measure this on your school ground, with a friend or your teacher holding the watch.

Sample answer: I started when the seconds hand was on 12 and finished when it had moved 21 small marks. So I took 21 seconds to run 100 m.

Let Us Do — Page 159Observe the clocks and fill in the blanks

Let Us Do
Q1Observe the clocks and fill in the blanks. (1) Rani took ______ sec. to get out of her bed.
123456789101112123456789101112Rani gets upRani is out of bedhourminutesecond
Page 159 — the two clocks (redrawn). Blue = hour hand, green = minute hand, red = seconds hand.
Answer

Rani took 30 seconds.

End reading  = 30 seconds
Start reading =  0 seconds
Time taken  = 30 − 0 = 30 seconds
Q2(2) Raghav took ______ sec. to move from his room to the kitchen.
123456789101112123456789101112Leaves his roomReaches the kitchenhourminutesecond
Page 159 — the two clocks (redrawn). Blue = hour hand, green = minute hand, red = seconds hand.
Answer

Raghav took 35 seconds.

  1. First clock: red hand on 12 → 0 seconds.
  2. Second clock: red hand on 7. Count in fives: 5, 10, 15, 20, 25, 30, 35. So 35 seconds.
  3. Subtract: 35 − 0 = 35.
35 seconds − 0 seconds = 35 seconds
Q3(3) Ritu took ______ sec. to pick up a piece of paper from the floor.
123456789101112123456789101112Ritu bends downPaper picked uphourminutesecond
Page 159 — the two clocks (redrawn). Blue = hour hand, green = minute hand, red = seconds hand.
Answer

Ritu took 15 seconds.

  1. First clock: red hand on 9. Count in fives: 5, 10, 15, 20, 25, 30, 35, 40, 45. So 45 seconds.
  2. Second clock: red hand on 12. It has gone all the way round to the end of that minute, so this is 60 seconds.
  3. Subtract: 60 − 45 = 15.
60 seconds − 45 seconds = 15 seconds
Q4(4) Raghu took ______ sec. to wash his spoon and plate.
123456789101112123456789101112Raghu starts washingRaghu finisheshourminutesecond
Page 159 — the two clocks (redrawn). Blue = hour hand, green = minute hand, red = seconds hand.
Answer

Raghu took 60 seconds, that is 1 whole minute.

At first the two clocks look exactly the same — the red hand is on 5 in both. The clue is hidden in the green minute hand.

One full round of the seconds hand = 60 seconds = 1 minute
Raghu took 60 seconds

Draw the Missing Seconds Hand — Page 160Add the red hand to the clock on the right

Let Us Do
Q1Draw the missing seconds hand on the clocks on the right side. (1) Raghu took 20 sec. to read a sentence in his book.
12345678910111212345678910111220 seconds laterClock in the bookDraw the red hand herehourminutesecond
Page 160 (redrawn) — left: the clock as printed; right: the clock on which you draw the seconds hand.
Answer

Draw the seconds hand pointing at 4.

12345678910111212345678910111220 seconds laterClock in the bookSeconds hand drawnhourminutesecond
The seconds hand starts at 12 and moves 20 seconds forward, which lands it on the 4.
Start = 0 s, time taken = 20 s
0 + 20 = 20 seconds
20 ÷ 5 = the number 4 on the dial
Q2(2) Rani took 30 sec. to color a rectangle.
12345678910111212345678910111230 seconds laterClock in the bookDraw the red hand herehourminutesecond
Page 160 (redrawn) — left: the clock as printed; right: the clock on which you draw the seconds hand.
Answer

Draw the seconds hand pointing at 6 — straight down.

12345678910111212345678910111230 seconds laterClock in the bookSeconds hand drawnhourminutesecond
Half a round of the dial is 30 seconds, and half a round from 12 lands on 6.
30 seconds = 30 ÷ 5 = the number 6
30 seconds is also half a minute, because 60 ÷ 2 = 30
Q3(3) Raghav took 60 sec. to move from his home to the garden.
12345678910111212345678910111260 seconds laterClock in the bookDraw the red hand herehourminutesecond
Page 160 (redrawn) — left: the clock as printed; right: the clock on which you draw the seconds hand.
Answer

Draw the seconds hand pointing at 9 — exactly where it was before.

12345678910111212345678910111260 seconds laterClock in the bookSeconds hand drawnhourminutesecond
After one full round the seconds hand comes back to 9. The minute hand has moved on by one small mark.
45 s + 60 s = 105 s
105 s = 60 s + 45 s = 1 min 45 s
Seconds hand shows the leftover 45 s → the number 9
Q4(4) Ritu took 40 sec. to wash a plate.
12345678910111212345678910111240 seconds laterClock in the bookDraw the red hand herehourminutesecond
Page 160 (redrawn) — left: the clock as printed; right: the clock on which you draw the seconds hand.
Answer

Draw the seconds hand pointing at 7.

12345678910111212345678910111240 seconds laterClock in the bookSeconds hand drawnhourminutesecond
The seconds hand starts at 11 (55 seconds), sweeps past 12, and stops at 7 (35 seconds).
55 s + 40 s = 95 s
95 s = 60 s + 35 s
60 s = 1 minute (carried to the minute hand)
Seconds hand shows 35 s → the number 7

Conversion of Hours to Minutes — Page 161Zainab and Remo, and the hours-and-minutes double number line

Conversion of Hours to MinutesLet Us Do
Q1 (a)Use the double number line below to complete the conversions.
1 hr60 min___ hr120 min4 hr___ min7 hr___ min__ hr480 min9 hr___ min___ hr660 min___ hr720 min× 2
Page 161, Question 1 (a) — the double number line. Hours on the top line, minutes on the bottom line.
Answer

Here is the completed double number line. The answers are shown in red.

hours minutes 12 47 89 1112 60120 240420 480540 660720
Every hour on the top line sits directly above its number of minutes on the bottom line.
HoursWorkingMinutes
1 hr1 × 6060 min
2 hr2 × 60120 min
4 hr4 × 60240 min
7 hr7 × 60420 min
8 hr8 × 60480 min
9 hr9 × 60540 min
11 hr11 × 60660 min
12 hr12 × 60720 min
Q1 (b) (i)Do as instructed. You can use the double number line below.
1 hr60 min___ hr120 min4 hr___ min7 hr___ min__ hr480 min9 hr___ min___ hr660 min___ hr720 min× 2
Page 161 — the double number line from Question 1 (a). Hours on the top line, minutes on the bottom line.

(i) 1 hours 10 minutes = _____ minutes

Answer

70 minutes.

1 hour 10 minutes
= 60 min + 10 min
= 70 minutes
Q1 (b) (ii)(ii) 2 hours 45 minutes = _____ minutes
Answer

165 minutes.

2 hours 45 minutes
= (2 × 60) + 45
= 120 + 45
= 165 minutes
Q1 (b) (iii)(iii) 3 hours 15 minutes = _____ minutes
Answer

195 minutes.

3 hours 15 minutes
= (3 × 60) + 15
= 180 + 15
= 195 minutes
Q1 (b) (iv)(iv) 4 hours 20 minutes = _____ minutes
Answer

260 minutes.

4 hours 20 minutes
= (4 × 60) + 20
= 240 + 20
= 260 minutes
Q1 (b) (v)(v) 75 minutes = ____ hour ____ minutes
Answer

1 hour 15 minutes.

  1. Ask: how many whole 60s are hiding in 75? Just one, because 60 fits into 75 once and 120 would be too big.
  2. Take out that hour: 75 − 60 = 15.
  3. Name the two pieces: 1 hour, and 15 minutes left over.
Q1 (b) (vi)(vi) 150 minutes = ____ hours ____ minutes
Answer

2 hours 30 minutes.

150 ÷ 60 → 2 hours, remainder 30
150 minutes = 2 hours 30 minutes
Q1 (b) (vii)(vii) 220 minutes = ____ hours ____ minutes
Answer

3 hours 40 minutes.

220 ÷ 60 → 3 hours, remainder 40
220 minutes = 3 hours 40 minutes
Q1 (b) (viii)(viii) 390 minutes = ____ hours ____ minutes
Answer

6 hours 30 minutes.

390 ÷ 60 → 6 hours, remainder 30
390 minutes = 6 hours 30 minutes

Let Us Do — Page 1621 (c) Minutes and seconds on a double number line

Let Us Do
Q1 (c)Fill in the blanks in the double number line to complete the conversions.
1 min60 sec___ min120 sec5 min___ sec10 min___ sec15 min___ sec___ min1200 sec___ min1500 sec× 60× 5
Page 162, Question 1 (c) — the double number line. Minutes on the top line, seconds on the bottom line.
Answer

Here is the completed line. Every minute on top is worth 60 seconds below.

minutes seconds 12 510 1520 25 60120 300600 9001200 1500
The 2 minute mark is written a little away from the 1 minute mark so the labels do not touch.
MinutesWorkingSeconds
1 min1 × 6060 sec
2 min2 × 60120 sec
5 min5 × 60300 sec
10 min10 × 60600 sec
15 min15 × 60900 sec
20 min1,200 ÷ 601,200 sec
25 min1,500 ÷ 601,500 sec
Q1 (c) (i)(i) 320 sec = ____ min ____ sec
Answer

5 minutes 20 seconds.

320 ÷ 60 → 5 minutes, remainder 20
320 sec = 5 min 20 sec
Q1 (c) (ii)(ii) 225 sec = ____ min ____ sec
Answer

3 minutes 45 seconds.

225 ÷ 60 → 3 minutes, remainder 45
225 sec = 3 min 45 sec
Q1 (c) (iii)(iii) 700 sec = ____ min ____ sec
Answer

11 minutes 40 seconds.

700 − 600 = 100  (10 minutes taken out)
100 − 60 = 40  (1 more minute taken out)
700 sec = 11 min 40 sec
Q1 (c) (iv)(iv) 1,000 sec = ____ min ____ sec
Answer

16 minutes 40 seconds.

1,000 − 900 = 100  (15 minutes taken out)
100 − 60 = 40  (1 more minute taken out)
1,000 sec = 16 min 40 sec
Q1 (c) (v)(v) 10 min 13 sec = ____ sec
Answer

613 seconds.

10 min 13 sec
= (10 × 60) + 13
= 600 + 13
= 613 seconds
Q1 (c) (vi)(vi) 4 min 8 sec = ____ sec
Answer

248 seconds.

4 min 8 sec
= (4 × 60) + 8
= 240 + 8
= 248 seconds
Q1 (c) (vii)(vii) 15 min 40 sec = ____ sec
Answer

940 seconds.

15 min 40 sec
= (15 × 60) + 40
= 900 + 40
= 940 seconds

Let Us Do (continued) — Page 162Adding up times, and finding how long a journey took

Let Us Do
Q2Raghav studies Mathematics, English, Hindi, and The World Around Us subjects. He took 50 minutes to study each of the subjects. Find the total time taken in hours and minutes. Share your strategies with your class.
Answer

Raghav studied for 3 hours 20 minutes in all.

Time for one subject = 50 minutes
Number of subjects = 4
Total = 50 × 4 = 200 minutes
200 = 180 + 20 = (3 × 60) + 20
Total time = 3 hours 20 minutes

Sample strategy to share: I added in pairs — 50 + 50 = 100 minutes, and 100 + 100 = 200 minutes.

Q3Raghu left his house at 08:00 hours and arrived at his Nana ji’s house at 09:05 hours. How long did he take to reach his house?
Answer

Raghu took 1 hour 5 minutes.

08:00 → 09:00 = 1 hour
09:00 → 09:05 = 5 minutes
Time taken = 1 hour 5 minutes

Let Us Do — Page 163Start time, end time and duration word problems

Let Us Do
Q4Jyoti went to play at 06:15 PM. She came back after 1 hour 45 minutes. At what time did she reach home?
Answer

Jyoti reached home at 08:00 PM.

  06 hr : 15 min
+ 01 hr : 45 min
─────────────
  07 hr : 60 min
60 min = 1 hour, so carry 1
= 08:00 PM
Q5Ragini took 1 hour 10 minutes to do her homework. She finished it at 09:40 PM. What time did she start?
Answer

Ragini started at 08:30 PM.

  09 hr : 40 min  (finished)
− 01 hr : 10 min  (time taken)
─────────────
  08 hr : 30 min → 08:30 PM
Q6A group of children left for a picnic at 08:30 AM. They returned after 4 hours and 10 minutes. At what time did they return?
Answer

They returned at 12:40 PM.

08:30 AM + 4 hours = 12:30 PM
12:30 PM + 10 minutes = 12:40 PM
Q7Raji started her homework at 06:00 PM. She finished her homework in 1 hour 30 minutes. At what time did she finish?
Answer

Raji finished at 07:30 PM.

  06 hr : 00 min
+ 01 hr : 30 min
─────────────
  07 hr : 30 min → 07:30 PM
Q8Alya goes out to play at 05:30 PM and comes back after 1 hour 10 minutes. At what time does she come back?
Answer

Alya comes back at 06:40 PM.

  05 hr : 30 min
+ 01 hr : 10 min
─────────────
  06 hr : 40 min → 06:40 PM
Q9If the lunch break of a school starts at 12:30 PM and ends in 35 minutes, what time will lunch end?
Answer

Lunch will end at 01:05 PM.

  12 hr : 30 min
+ 00 hr : 35 min
─────────────
  12 hr : 65 min
65 min = 60 min + 5 min = 1 hr 5 min
12 hr + 1 hr = 13 hr → 01:05 PM
Q10It is 08:35 PM right now. What time will it be after 8 hours and 25 minutes?
Answer

It will be 05:00 AM the next morning.

08:35 PM + 8 hours = 04:35 AM (next day)
35 min + 25 min = 60 min = 1 hour
04:35 AM + 25 min = 05:00 AM

Chapter 12 of 15 – Maths

Also for This Chapter

NCERT Solutions Class 5 Maths Chapter 12 Racing Seconds – Overview

ClassClass 5
SubjectMaths
Chapter12 – Racing Seconds
Textbook pages155 – 163
Questions solved53
Session2027
FormatFull answers on this page + PDF

NCERT Solutions Class 5 Maths Chapter 12 – FAQs

Where can I download NCERT Solutions Class 5 Maths Chapter 12 Racing Seconds PDF?

Read every answer on this page, or download the free PDF from the table at the top.

Is this for the 2027 session?

Yes, it follows the latest NCERT Class 5 Maths book for 2027.

How many questions are solved in NCERT Class 5 Maths Chapter 12?

All 53 questions of the chapter (textbook pages 155 – 163) – the in-text questions, activities and the end-of-chapter exercises.

How should I use these solutions?

Read the chapter in the NCERT book first, attempt the questions yourself, then check your answers here.

Official website: ncert.nic.inNational Council of Educational Research and Training publishes date sheets, admit cards and results here
Visit

Ask a question

?

Loading comments…