NCERT Solutions for Class 5th Maths Chapter 15 Reading data straight from a picture of a group of children — True or False
Book page 187 Updated on2026-09-19
Q1.
Observe the picture carefully.Page 187 — the group of children, redrawn. Back row: 9 children. Front row: 8 children. Girls wear a blue pinafore with a skirt; boys wear a cream shirt with shorts.
True or False: All girls are wearing glasses.
Answer
False. Only 3 of the 8 girls are wearing glasses.
Before answering any of these eight statements, count the picture once, carefully, and write the counts down. Here is the full count.
What to count
How many
Children in all
17
Boys
9
Girls
8
Children wearing caps
10
Children wearing glasses
7
Boys wearing glasses
4
Girls wearing glasses
3
Children holding books
14
Boys holding books
7
Girls holding books
7
Children with backpacks
4
Count the girls. The girls wear a blue pinafore over the cream shirt, or have a plait or ponytail. There are 8 of them.
Count how many of those 8 wear glasses. Only 3 do.
Compare. 3 is not the same as 8, so "all girls" is wrong.
Girls = 8 Girls wearing glasses = 3 3 ≠ 8, so the statement is False
How to count a crowded picture without mistakes: Work in two rows. Count the back row from left to right, then the front row from left to right. Touch each face with your pencil. Say the number aloud. If you get a different total the second time, count once more before deciding.
Q2.
Page 187 — the group of children, redrawn. Back row: 9 children. Front row: 8 children. Girls wear a blue pinafore with a skirt; boys wear a cream shirt with shorts.True or False: 10 children are wearing caps on their heads.
Answer
True. Exactly 10 children are wearing red caps.
Count the caps in the back row. There are 5 red caps.
Count the caps in the front row. There are 5 red caps.
Add.
Back row caps = 5 Front row caps = 5 5 + 5 = 10 caps The statement says 10, so it is True
Tip: A cap is much easier to spot than a pair of glasses, because the red colour stands out. Count the easy things first — it builds your confidence for the harder counts.
Also worth noticing: 10 of the 17 children wear caps, so 17 − 10 = 7 children do not.
Q3.
Page 187 — the group of children, redrawn. Back row: 9 children. Front row: 8 children. Girls wear a blue pinafore with a skirt; boys wear a cream shirt with shorts.True or False: More boys are holding books than girls.
Answer
False. The same number of boys and girls are holding books — 7 each.
Count the boys holding books. In the back row, 6 boys hold books. In the front row, 1 boy holds a book. 6 + 1 = 7.
Count the girls holding books. In the back row, 3 girls hold books. In the front row, 4 girls hold books. 3 + 4 = 7.
Compare. 7 and 7 are equal — neither group has more.
Boys holding books = 7 Girls holding books = 7 7 = 7, so "more boys than girls" is False The correct sentence is: as many boys as girls are holding books
Why it happens: There are 9 boys but only 7 of them hold books — two boys have their hands free. There are 8 girls and 7 of them hold books — only one girl has her hands free. So even though there are more boys in the picture, the book-holders come out equal.
Careful: "More than" means strictly bigger. If two counts are equal, a "more than" statement is false. Count both sides before you answer, never one.
Q4.
Page 187 — the group of children, redrawn. Back row: 9 children. Front row: 8 children. Girls wear a blue pinafore with a skirt; boys wear a cream shirt with shorts.True or False: More than half of the children are wearing glasses.
Answer
False. 7 of the 17 children wear glasses, and 7 is less than half of 17.
Count all the children. 9 in the back row + 8 in the front row = 17.
Count the children with glasses. 4 in the back row + 3 in the front row = 7.
Find half of the total. Half of 17 is 8 1/2.
Compare. 7 is smaller than 8 1/2.
Total children = 17 Children with glasses = 7 Half of 17 = 17 ÷ 2 = 8 1/2 7 < 8 1/2, so less than half wear glasses → False
An easier way to see it: Children with glasses = 7. Children without glasses = 17 − 7 = 10. Since 10 is more than 7, the "without glasses" group is the bigger one. So the glasses group cannot be more than half.
Q5.
Page 187 — the group of children, redrawn. Back row: 9 children. Front row: 8 children. Girls wear a blue pinafore with a skirt; boys wear a cream shirt with shorts.True or False: The number of children holding books is greater than the number of children wearing caps.
Answer
True. 14 children are holding books and only 10 are wearing caps.
Count the children holding books. 9 in the back row (every child there holds a book) + 5 in the front row = 14.
Count the children wearing caps. 10, as found in Q2.
Compare. 14 is bigger than 10.
Children holding books = 14 Children wearing caps = 10 14 > 10, so the statement is True There are 14 − 10 = 4 more book-holders than cap-wearers
Why it happens: Every one of the 9 children in the back row is carrying a book. Only 5 of the 8 children in the front row are — the rest are waving or shaking hands. Caps are spread more evenly, 5 in each row.
Q6.
Page 187 — the group of children, redrawn. Back row: 9 children. Front row: 8 children. Girls wear a blue pinafore with a skirt; boys wear a cream shirt with shorts.True or False: The number of boys wearing glasses is greater than the number of girls wearing glasses.
Answer
True. 4 boys wear glasses and 3 girls wear glasses.
Count the children with glasses. There are 7 in all.
Sort them into boys and girls. Boys wear a cream shirt with shorts; girls wear a blue pinafore with a skirt.
Compare the two counts.
Boys wearing glasses
Girls wearing glasses
Back row: 3 boys
Back row: 1 girl
Front row: 1 boy
Front row: 2 girls
Total 4
Total 3
Boys with glasses = 4 Girls with glasses = 3 4 > 3, so the statement is True
Check it yourself: 4 + 3 = 7, and 7 is the total number of children wearing glasses ✓ If your two counts do not add up to 7, one of them is wrong.
Q7.
Page 187 — the group of children, redrawn. Back row: 9 children. Front row: 8 children. Girls wear a blue pinafore with a skirt; boys wear a cream shirt with shorts.True or False: Some children are wearing both glasses and caps.
Answer
True. Six children are wearing a cap and glasses at the same time.
Look only at the 7 children wearing glasses.
Of those, count how many also have a red cap on. Three in the back row and three in the front row.
Children with glasses = 7 Of these, children who also wear a cap = 3 + 3 = 6 6 is more than zero, so "some" is True
Why the word "some" matters: "Some" only means "at least one". Even a single child with both a cap and glasses would make this statement true. Here there are six, so it is comfortably true.
Follow-up you can work out: 7 children wear glasses and 6 of them also wear caps. So only 1 child wears glasses without a cap.
Q8.
Page 187 — the group of children, redrawn. Back row: 9 children. Front row: 8 children. Girls wear a blue pinafore with a skirt; boys wear a cream shirt with shorts.True or False: There is no child who has all three items — a cap, a book and a backpack.
Answer
False. There is such a child — the girl standing at the far left of the back row.
Find the children with backpacks first, because there are only 4 of them. Grey shoulder straps make them easy to spot.
Check each of those 4 for a cap.
Check each of those for a book.
Child with a backpack
Cap?
Book?
All three?
Girl at the far left, back row (with a plait)
Yes
Yes
Yes
Girl at the far left, front row (waving)
Yes
No
No
Boy in the front row shaking hands
Yes
No
No
Boy at the far right, front row
No
No
No
At least one child has a cap and a book and a backpack So the sentence "there is no child…" is False
How to disprove a "there is no…" statement: You do not have to check every child. You only have to find one child who has all three. One example is enough to make such a statement false.
Tip: When a question mentions three things at once, start with the rarest of the three. Backpacks are rarest here (only 4 children), so checking those 4 is much quicker than checking all 17.