125876 + Interview Questions in General QA

1.	Grasshopper makes a chirping sound by a) rubbing two legs together b) rubbing one of its legs along one of its wings. c) rubbing its wings together d) rubbing its back leg against one of its antennae.
Answer» b)rubbing one of its leg along one of its wings.

Discussion

2.	How long are the world’s largest grasshoppers? 20mm, 90mm, 100mm, 120mm.
Answer» The world's largest grasshopper is 60-90 millimeters long and the male is 45-55 millimeters long. The world’s largest grasshopper is 60-90 millimeters long and the male is 45- 55 millimeters long.

2.

How long are the world’s largest grasshoppers? 20mm, 90mm, 100mm, 120mm.

Answer»

The world's largest grasshopper is 60-90 millimeters long and the male is 45-55 millimeters long.

The world’s largest grasshopper is 60-90 millimeters long and the male is 45- 55 millimeters long.

Discussion

3.	Write a short paragraph about grasshoppers in five to six sentences.
Answer» A grasshopper is a farmer’s friend. They live everywhere. There t 11,000- 18,000 species of grasshoppers. They have 2 sets of wings for flying. They have five eyes and an antenna to escape from enemies. They eat plants wheat, oat, com, and barley.

Discussion

4.	Grasshopper do not havt ears, yet they can pick up Uibrations How?
Answer» The Anienna helps the grasshopper to pick up vibrations from the air and the ground.

Discussion

5.	Sit in pairs. Read the following statements and frame questions. Use the clues given in the bracket: One is done for you. e.g. A: My father is a teacher. What is your father?
Answer» 1. A: This book is (mine). B: Whose book is this? (whose) 2. A: I like blue color. B: What color do you like? (what) 3. A: We celebrate Vanamahotsava on June 5th . B: When do we celebrate Vanamahotsava? (when) 4. A: Deon likes cows because they give us milk B: Why does Deon like cows? (Why) 5. A: Sachin is my favorite batsman. B: Who is your favorite batsman? (Who) 6. A: Naija goes to school every day. B: Where does Naija go every day? (where)

5.

Sit in pairs. Read the following statements and frame questions. Use the clues given in the bracket: One is done for you. e.g. A: My father is a teacher. What is your father?

Answer»

1. A: This book is (mine).

B: Whose book is this? (whose)

2. A: I like blue color.

B: What color do you like? (what)

3. A: We celebrate Vanamahotsava on June 5th .

B: When do we celebrate Vanamahotsava? (when)

4. A: Deon likes cows because they give us milk

B: Why does Deon like cows? (Why)

5. A: Sachin is my favorite batsman.

B: Who is your favorite batsman? (Who)

6. A: Naija goes to school every day.

B: Where does Naija go every day? (where)

Discussion

6.	How many wings does a grasshopper have?
Answer» 4 wings does a grasshopper have.

Discussion

7.	What helps a grasshopper fly?
Answer» Two sets of wings help a grasshopper to fly.

Discussion

8.	Fill in the blanks: 1. The two-striped grasshopper will eat plants that are ________ to cattle. 2. The grasshopper- make sounds of ___________ on a suppliers-nigliV 3. The __________ organ can pick up vibrations from the air and on the ground to the grasshopper.
Answer» 1. The two-striped grasshopper will eat plants that are toxic to cattle. 2. The grasshopper- make sounds of chirp chirp on a suppliers-nigliV . 3. The Antenna organ can pick up vibrations from the air and on the ground to the grasshopper.

8.

Fill in the blanks: 1. The two-striped grasshopper will eat plants that are __ to cattle. 2. The grasshopper- make sounds of _ on a suppliers-nigliV 3. The ______ organ can pick up vibrations from the air and on the ground to the grasshopper.

Answer»

1. The two-striped grasshopper will eat plants that are toxic to cattle.

2. The grasshopper- make sounds of chirp chirp on a suppliers-nigliV .

3. The Antenna organ can pick up vibrations from the air and on the ground to the grasshopper.

Discussion

9.	How many eyes does a grasshopper have?
Answer» 5 eyes does a grasshopper have .

Discussion

10.	Can you draw the picture of a grasshopper? What do you know about grasshoppers?
Answer» A grasshopper is a farmer’s friend. The r live everywhere. There are 11,00c to 18,000 varieties of grasshoppers in this world. They have 2 set of wings, three pairs of strong legs, five eyes and an antenna. The antenna is used to pick up vibrations from the air and the ground. The) eat plants, wheat, oat, corn and barley. The skeleton is on the outside of the grasshopper body. They make music by rubbing their back leg against their forewing.! Grasshoppers will dine, on the weeds that kills crops and will eat plants that are toxic to cattle. The smallgrasshopper is only 20 millimeters long and the giant once are 60-90 millimeter long.

10.

Can you draw the picture of a grasshopper? What do you know about grasshoppers?

Answer»

A grasshopper is a farmer’s friend. The r live everywhere. There are 11,00c to 18,000 varieties of grasshoppers in this world. They have 2 set of wings, three pairs of strong legs, five eyes and an antenna. The antenna is used to pick up vibrations from the air and the ground. The) eat plants, wheat, oat, corn and barley.

The skeleton is on the outside of the grasshopper body. They make music by rubbing their back leg against their forewing.! Grasshoppers will dine, on the weeds that kills crops and will eat plants that are toxic to cattle. The smallgrasshopper is only 20 millimeters long and the giant once are 60-90 millimeter long.

Discussion

11.	What made ‘the old lady angry?
Answer» When she was insulted. Jumman took the side of his wife. He didn’t support her. Apart from this, Jumman advised his aunt to be patient and keep mum. This made the old lady angry.

Discussion

12.	Based on the story and your own ideas write your answers in about 80 to 100 words each.1. Imagine yourself as the writer. Narrate the story of your visit to your ancestral house.2. The man who came to the house gave the cross as a gift to the girl. Why did he do this? What do you think would have happened if he had taken back the cross with him?
Answer» 1. I decided in the middle of my age to relive some of the moments by practically visiting the spot. So, I went to Dehra where I spent my childhood days with my grandparents. I observed from far and noticed that the house has not changed much. I was happy to see the blocks of granite building and the jackfruit tree. Turnstile where I swung round and round was missing. Tall hollyhocks grew on one side of wall that was built in that place. When the girl invited me inside the house I climbed over the wall but couldn’t land safe. I didn’t enter the house but spent sometime sitting on the stone bench under a mango tree. I recalled the music of a piano, the chiming of a grandfather clock, the cranking up of the old car of my grandfather, constant twitter of budgerigars on the veranda, and my treasure stacked in a hollow space of the jackfruit tree. All this memories relived gave me a lot of strength, happiness and boosted me too. 2. The man gave the cross to the girl because his purpose of visit was not to collect it from his old house. The girl also may not have any particular use with that iron cross but would have taught her a lesson how each moment is precious in our life. Suppose, the man had taken the cross with him, he would not be able to treasure it as she would due to her age. It is young, teenage period where such innocent, sweet nothings are loved and enjoyed.

12.

Based on the story and your own ideas write your answers in about 80 to 100 words each.1. Imagine yourself as the writer. Narrate the story of your visit to your ancestral house.2. The man who came to the house gave the cross as a gift to the girl. Why did he do this? What do you think would have happened if he had taken back the cross with him?

Answer»

1. I decided in the middle of my age to relive some of the moments by practically visiting the spot. So, I went to Dehra where I spent my childhood days with my grandparents. I observed from far and noticed that the house has not changed much. I was happy to see the blocks of granite building and the jackfruit tree. Turnstile where I swung round and round was missing. Tall hollyhocks grew on one side of wall that was built in that place.

When the girl invited me inside the house I climbed over the wall but couldn’t land safe. I didn’t enter the house but spent sometime sitting on the stone bench under a mango tree. I recalled the music of a piano, the chiming of a grandfather clock, the cranking up of the old car of my grandfather, constant twitter of budgerigars on the veranda, and my treasure stacked in a hollow space of the jackfruit tree. All this memories relived gave me a lot of strength, happiness and boosted me too.

2. The man gave the cross to the girl because his purpose of visit was not to collect it from his old house. The girl also may not have any particular use with that iron cross but would have taught her a lesson how each moment is precious in our life. Suppose, the man had taken the cross with him, he would not be able to treasure it as she would due to her age. It is young, teenage period where such innocent, sweet nothings are loved and enjoyed.

Discussion

13.	How did people react to the old lady when she went about explaining her plight?
Answer» Some people sympathized with the old lady. A few others advised her to make it up with her nephew and his wife.

Discussion

14.	‘I mill abide by her decision’ a) Who agreed to abide by decision? b) Where did the person make the statement? c) What decision is referred to here?
Answer» a) Algu agreed to abide by his decision. b) The person made the statement before the Panch. c) The decision of Panch was referred to here.

14.

‘I mill abide by her decision’ a) Who agreed to abide by decision? b) Where did the person make the statement? c) What decision is referred to here?

Answer»

a) Algu agreed to abide by his decision.

b) The person made the statement before the Panch.

c) The decision of Panch was referred to here.

Discussion

15.	Say True or False : A grasshopper in blind and deaf
Answer» False (It has five eyes but no ears)

Discussion

16.	Read the paragraph 3rd under the heading of ‘Self Help Group for the Poor’ and answer the question. How are SHGs working in your area?In recent years, government and Non Government Organisations (NGOs) have tried out some newer ways of providing loans to the poor. The idea is to organise rural poor, in particular women, into small Self Help Groups (SHGs) and pool (collect) their savings. A typical SHG has 15-20 members, usually belonging to one neighbourhood, who meet and save regularly. Saving per member varies from Rs. 25 to Rs. 100 or more, depending on the ability of the people to save. Members can take small loans from the group itself to meet their needs. The group charges interest on these loans but this is still less than what the moneylender charges.(OR)“Self Help, Groups play a vital role in the women empowerment. They not only provide economic support but also help in eradicating poverty”. Explain the work of a self help group in your village.
Answer» The working of SHGs in our area : 1. There are 10 to 11 SHGs in our village. 2. All are registered. They voluntarily coming together to save regular small savings of money, mutually agreeing to contribute to a common fund and to meet their emergency needs on the basis of mutual help. 3. They pool their resources to become financially stable, taking loans from the money collected by that group and by making everybody in that group self employed. 4. They borrow loans from banks and repay it back regularly. 5. An economically poor individual gains strength as a part of a group.

16.

Read the paragraph 3rd under the heading of ‘Self Help Group for the Poor’ and answer the question. How are SHGs working in your area?In recent years, government and Non Government Organisations (NGOs) have tried out some newer ways of providing loans to the poor. The idea is to organise rural poor, in particular women, into small Self Help Groups (SHGs) and pool (collect) their savings. A typical SHG has 15-20 members, usually belonging to one neighbourhood, who meet and save regularly. Saving per member varies from Rs. 25 to Rs. 100 or more, depending on the ability of the people to save. Members can take small loans from the group itself to meet their needs. The group charges interest on these loans but this is still less than what the moneylender charges.(OR)“Self Help, Groups play a vital role in the women empowerment. They not only provide economic support but also help in eradicating poverty”. Explain the work of a self help group in your village.

Answer»

The working of SHGs in our area :

1. There are 10 to 11 SHGs in our village.

2. All are registered. They voluntarily coming together to save regular small savings of money, mutually agreeing to contribute to a common fund and to meet their emergency needs on the basis of mutual help.

3. They pool their resources to become financially stable, taking loans from the money collected by that group and by making everybody in that group self employed.

4. They borrow loans from banks and repay it back regularly.

5. An economically poor individual gains strength as a part of a group.

Discussion

17.	The ratio of expenditure and salary of a person is 2 : 5. If salary of a person is Rs. 8,000, then what is his expenditure?(A) Rs. 3,000(B) Rs. 3,200(C) Rs. 3,500(D) Rs. 3,100
Answer» Correct answer is (B) Rs. 3,200

17.

The ratio of expenditure and salary of a person is 2 : 5. If salary of a person is Rs. 8,000, then what is his expenditure?(A) Rs. 3,000(B) Rs. 3,200(C) Rs. 3,500(D) Rs. 3,100

Answer»

Correct answer is

(B) Rs. 3,200

Discussion

18.	A and B have incomes in the ratio 5 : 3. The expenses of A, B and C are in the ratio 8 : 5 : 2. If C spends Rs. 2,000 and B saves Rs. 700. What is the saving of A?(A) Rs. 2,000(B) Rs. 1,500(C) Rs. 1,900(D) Rs. 9,500
Answer» Correct answer is (B) Rs. 1,500

18.

A and B have incomes in the ratio 5 : 3. The expenses of A, B and C are in the ratio 8 : 5 : 2. If C spends Rs. 2,000 and B saves Rs. 700. What is the saving of A?(A) Rs. 2,000(B) Rs. 1,500(C) Rs. 1,900(D) Rs. 9,500

Answer»

Correct answer is

(B) Rs. 1,500

Discussion

19.	Two numbers are in the ratio 3: 5. If 8 is added to each number, the ratio becomes 2:3. Find the numbers.
Answer» Let the number be 3x and 5x 3x + 8 : 5x + 8 = 2 : 3 (3x + 8)/(5x + 8) = 2/3 ⇒ 2(5x + 8) = 3(3x + 8) ⇒ 10x + 16 = 9x + 24 ⇒ 10x - 9x = 24 - 16 ⇒ x = 8 ∴ The number are 24 and 40.

19.

Two numbers are in the ratio 3: 5. If 8 is added to each number, the ratio becomes 2:3. Find the numbers.

Answer»

Let the number be 3x and 5x

3x + 8 : 5x + 8 = 2 : 3

(3x + 8)/(5x + 8) = 2/3

⇒ 2(5x + 8) = 3(3x + 8)

⇒ 10x + 16 = 9x + 24

⇒ 10x - 9x = 24 - 16

⇒ x = 8

∴ The number are 24 and 40.

Discussion

20.	Divide Rs 2000 among P, Q, R in the ratio 2: 3: 5.
Answer» Given total amount to be divided = 2000 Sum of the terms of the ratio = 2 + 3 + 5 = 10 P’s share of money = (2/10) × 2000 = 2 × 200 = Rs. 400 And Q’s share of money = (3/10) × 2000 = 3 × 200 = Rs. 600 And R’s share of money = (5/10) × 2000 = 5 × 200 = Rs. 1000

20.

Divide Rs 2000 among P, Q, R in the ratio 2: 3: 5.

Answer»

Given total amount to be divided = 2000

Sum of the terms of the ratio = 2 + 3 + 5 = 10

P’s share of money = (2/10) × 2000

= 2 × 200

= Rs. 400

And Q’s share of money = (3/10) × 2000

= 3 × 200

= Rs. 600

And R’s share of money = (5/10) × 2000

= 5 × 200

= Rs. 1000

Discussion

21.	State whether the given statement are true (T) or false (F).The ratio of 10kg to 100kg is 1:10
Answer» True. The ratio of 10kg to 100kg = 10/100 = 1/10

21.

State whether the given statement are true (T) or false (F).The ratio of 10kg to 100kg is 1:10

Answer»

True.

The ratio of 10kg to 100kg = 10/100

= 1/10

Discussion

22.	Divide Rs 1350 between Ravish and Shikha in the ratio 2: 3.
Answer» Given total amount to be divided = 1350 Sum of the terms of the ratio = 2 + 3 = 5 Ravish share of money = (2/5) × 1350 = 2 × 270 = Rs. 540 And Shikha’s share of money = (3/5) × 1350 = 3 × 270 = Rs. 810

22.

Divide Rs 1350 between Ravish and Shikha in the ratio 2: 3.

Answer»

Given total amount to be divided = 1350

Sum of the terms of the ratio = 2 + 3 = 5

Ravish share of money = (2/5) × 1350

= 2 × 270

= Rs. 540

And Shikha’s share of money = (3/5) × 1350

= 3 × 270

= Rs. 810

Discussion

23.	State whether the given statement are true (T) or false (F).12 hours : 30 hours = 8km : 20km
Answer» True Consider the given ratio, 12 hours : 30 hours = 8km : 20km 12/30 = 8/20 12/30 is further simplified by dividing both numerator and denominator by 6 we get, = 2/5 8/20 is further simplified by dividing both numerator and denominator by 4 we get, = 2/5 Hence, 2/5 = 2/5 Therefore, 12 hours : 30 hours = 8km : 20km

23.

State whether the given statement are true (T) or false (F).12 hours : 30 hours = 8km : 20km

Answer»

True

Consider the given ratio, 12 hours : 30 hours = 8km : 20km

12/30 = 8/20

12/30 is further simplified by dividing both numerator and denominator by 6 we get,

= 2/5

8/20 is further simplified by dividing both numerator and denominator by 4 we get,

= 2/5

Hence, 2/5 = 2/5

Therefore, 12 hours : 30 hours = 8km : 20km

Discussion

24.	State whether the given statement are true (T) or false (F).The ratio of 150cm to 1metre is 1:1.5.
Answer» False We know that, 1 meter = 100 cm So, The ratio of 150cm to 1metre is = 150/100 = 15/10 Divide both numerator and denominator by 5 we get, = 3/2 So, The ratio of 150cm to 1metre is 3: 2

24.

State whether the given statement are true (T) or false (F).The ratio of 150cm to 1metre is 1:1.5.

Answer»

False

We know that, 1 meter = 100 cm

So, The ratio of 150cm to 1metre is = 150/100

= 15/10

Divide both numerator and denominator by 5 we get,

= 3/2

So, The ratio of 150cm to 1metre is 3: 2

Discussion

25.	Two positive numbers are in the ratio 3 : 5 and the difference between their squares is 400. Find the numbers.
Answer» Let the two numbers be 3x and 5x. According to the given information (5x)² − (3x)² = 400 25x² − 9x² = 400 16x² = 400 x² = 25 x = 5 Thus, the numbers are 3 × 5 = 15 and 5 × 5 = 25.

25.

Two positive numbers are in the ratio 3 : 5 and the difference between their squares is 400. Find the numbers.

Answer»

Let the two numbers be 3x and 5x.

According to the given information

(5x)² − (3x)² = 400

25x² − 9x² = 400

16x² = 400

x² = 25

x = 5

Thus, the numbers are 3 × 5 = 15 and 5 × 5 = 25.

Discussion

26.	The ages of two persons are in the ratio 5: 7. Eighteen years ago their ages were in the ratio 8: 13. Find their present ages.
Answer» Let present ages of two persons be 5x and 7x Given ages of two persons are in the ratio 5: 7 And also given that 18 years ago their ages were in the ratio 8: 13 Therefore (5x – 18)/ (7x – 18) = (8/13) 13 (5x – 18) = 8 (7x – 18) 65x – 234 = 56x – 144 65x – 56x = 234 – 144 9x = 90 x = 90/9 x = 10 Thus the ages are 5x = 5 (10) = 50 years And 7x = 7 (10) = 70 years

26.

The ages of two persons are in the ratio 5: 7. Eighteen years ago their ages were in the ratio 8: 13. Find their present ages.

Answer»

Let present ages of two persons be 5x and 7x

Given ages of two persons are in the ratio 5: 7

And also given that 18 years ago their ages were in the ratio 8: 13

Therefore (5x – 18)/ (7x – 18) = (8/13)

13 (5x – 18) = 8 (7x – 18)

65x – 234 = 56x – 144

65x – 56x = 234 – 144

9x = 90

x = 90/9

x = 10

Thus the ages are 5x = 5 (10) = 50 years

And 7x = 7 (10) = 70 years

Discussion

27.	Two numbers are in the ratio 2: 7. 11 the sum of the numbers is 810. Find the numbers.
Answer» Given two numbers are in the ratio 2: 7 And their sum = 810 Sum of terms in the ratio = 2 + 7 = 9 First number = (2/9) × 810 = 2 × 90 = 180 Second number = (7/9) × 810 = 7 × 90 = 630

27.

Two numbers are in the ratio 2: 7. 11 the sum of the numbers is 810. Find the numbers.

Answer»

Given two numbers are in the ratio 2: 7

And their sum = 810

Sum of terms in the ratio = 2 + 7 = 9

First number = (2/9) × 810

= 2 × 90

= 180

Second number = (7/9) × 810

= 7 × 90

= 630

Discussion

28.	Find the fourth proportional to the numbers 5, 7, 30.
Answer» Let the fourth number be x Then, = 5: 7:: 30: x We know that, Product of extremes = product of means ∴ 5 × x = 7 × 30 = 5x = 210 = x = 210/5 = x = 42 Hence, x = 42

28.

Find the fourth proportional to the numbers 5, 7, 30.

Answer»

Let the fourth number be x

Then,

= 5: 7:: 30: x

We know that,

Product of extremes = product of means

∴ 5 × x = 7 × 30

= 5x = 210

= x = 210/5

= x = 42

Hence, x = 42

Discussion

29.	Find the fourth proportional to the numbers 8, 36, 6.
Answer» Let the fourth number be x Then, = 8: 36:: 6: x We know that, Product of extremes = product of means ∴ 8 × x = 36 × 6 = 8x = 216 = x = 216/8 = x = 27 Hence, x = 27

29.

Find the fourth proportional to the numbers 8, 36, 6.

Answer»

Let the fourth number be x

Then,

= 8: 36:: 6: x

We know that,

Product of extremes = product of means

∴ 8 × x = 36 × 6

= 8x = 216

= x = 216/8

= x = 27

Hence, x = 27

Discussion

30.	The fourth proportional to 4, 9, 12 is.
Answer» Let the fourth proportional to 4, 9, 12 be x. then 4:9::12:x ⇒4×x=9×12 (i.e a×d=b×c) ∴ x=27

30.

The fourth proportional to 4, 9, 12 is.

Answer»

Let the fourth proportional to 4, 9, 12 be x. then 4:9::12:x

⇒4×x=9×12 (i.e a×d=b×c)

∴ x=27

Discussion

31.	Two numbers are is the ratio 3:5. If 5 is added to each , they are is the ratio. 2:3 find the numbers.
Answer» Let two numbers be 3x & 5x If 5 is added to each then \(\frac{3x + 5}{5x + 5} = \frac{2}{3}\) 9x + 15 = 10x + 10 x = 5 ∴ The two numbers are 3(5) & 5(5) = 15 & 25.

31.

Two numbers are is the ratio 3:5. If 5 is added to each , they are is the ratio. 2:3 find the numbers.

Answer»

Let two numbers be 3x & 5x

If 5 is added to each then \(\frac{3x + 5}{5x + 5} = \frac{2}{3}\)

9x + 15 = 10x + 10

x = 5

∴ The two numbers are 3(5) & 5(5) = 15 & 25.

Discussion

32.	What must be added to each term is the ratio 2 : 3 so that is becomes 5:6.
Answer» Let x must be added to each term of 2 : 3 then \(\frac{2 + x}{3 + x}\) = \(\frac{5}{6}\) ⇒ 12 + 6x = 15 + 5x x = 3.

32.

What must be added to each term is the ratio 2 : 3 so that is becomes 5:6.

Answer»

Let x must be added to each term of 2 : 3 then

\(\frac{2 + x}{3 + x}\) = \(\frac{5}{6}\)

⇒ 12 + 6x = 15 + 5x

x = 3.

Discussion

33.	State whether the given statement are true (T) or false (F).20g : 100g = 1metre : 500cm
Answer» True Consider the given ratio, 20g : 100g = 1metre : 500cm 20/100 = 1/500 We know that, 1 meter = 100 cm So, 20g: 100g = 100cm : 500 cm 20/100 = 100/500 20/100 is further simplified by dividing both numerator and denominator by 20 we get, = 1/5 100/500 is further simplified by dividing both numerator and denominator by 100 we get, = 1/5 Hence, 1/5 = 1/5 Therefore, 20g : 100g = 1metre : 500cm

33.

State whether the given statement are true (T) or false (F).20g : 100g = 1metre : 500cm

Answer»

True

Consider the given ratio, 20g : 100g = 1metre : 500cm

20/100 = 1/500

We know that, 1 meter = 100 cm

So, 20g: 100g = 100cm : 500 cm

20/100 = 100/500

20/100 is further simplified by dividing both numerator and denominator by 20 we get,

= 1/5

100/500 is further simplified by dividing both numerator and denominator by 100 we get,

= 1/5

Hence, 1/5 = 1/5

Therefore, 20g : 100g = 1metre : 500cm

Discussion

34.	State whether the given statement are true (T) or false (F).5kg : 7.5kg = Rs 7.50 : Rs 5
Answer» False. Consider the two ratios 5kg: 7.5kg = Rs 7.50: Rs 5 5/7.5 = 7.50/5 50/75 = 75/50 50/75 is further simplified by dividing both numerator and denominator by 25 we get, = 2/3 75/50 is further simplified by dividing both numerator and denominator by 2 we get, = 3/2 Hence, 2/3 ≠ 3/2 Therefore, 5kg: 7.5kg ≠ Rs 7.50: Rs 5

34.

State whether the given statement are true (T) or false (F).5kg : 7.5kg = Rs 7.50 : Rs 5

Answer»

False.

Consider the two ratios 5kg: 7.5kg = Rs 7.50: Rs 5

5/7.5 = 7.50/5

50/75 = 75/50

50/75 is further simplified by dividing both numerator and denominator by 25 we get,

= 2/3

75/50 is further simplified by dividing both numerator and denominator by 2 we get,

= 3/2

Hence, 2/3 ≠ 3/2

Therefore, 5kg: 7.5kg ≠ Rs 7.50: Rs 5

Discussion

35.	Divide 6000 into three parts is the ratio \(\frac{1}{2}: \frac{1}{3}: \frac{1}{6}\)
Answer» Given \(\frac{1}{2}: \frac{1}{3}: \frac{1}{6}\) multiply by 6, we get 3:2:1 1st part = \(\frac{3}{6}\) × 6000 = 3000 2nd part = \(\frac{2}{6}\) × 6000 = 2000 3rd part = \(\frac{1}{6}\) × 6000= 1000

35.

Divide 6000 into three parts is the ratio \(\frac{1}{2}: \frac{1}{3}: \frac{1}{6}\)

Answer»

Given \(\frac{1}{2}: \frac{1}{3}: \frac{1}{6}\) multiply by 6, we get 3:2:1

1st part = \(\frac{3}{6}\) × 6000 = 3000

2nd part = \(\frac{2}{6}\) × 6000 = 2000

3rd part = \(\frac{1}{6}\) × 6000= 1000

Discussion

36.	Fill in the following blanks:12/20 = …. /5 = 9/….
Answer» 12/20 = 3/5 = 9/15 Explanation: Consider 12/20 = …. /5 Let unknown value be x Therefore 12/20 = x/5 On cross multiplying x = 60/20 x = 3 Consider 12/20 = 9/…. Let the unknown value be y Therefore 12/20 = 9/y On cross multiplying we get y = 180/12 y = 15

36.

Fill in the following blanks:12/20 = …. /5 = 9/….

Answer»

12/20 = 3/5 = 9/15

Explanation:

Consider 12/20 = …. /5

Let unknown value be x

Therefore 12/20 = x/5

On cross multiplying

x = 60/20

x = 3

Consider 12/20 = 9/….

Let the unknown value be y

Therefore 12/20 = 9/y

On cross multiplying we get

y = 180/12

y = 15

Discussion

37.	State whether the given statement are true (T) or false (F).27cm2 : 57cm2 = 18cm : 38cm
Answer» True Consider the two ratios 27cm² : 57cm² = 18cm : 38cm 27/57 = 18/38 27/57 is further simplified by dividing both numerator and denominator by 3 we get, = 9/19 18/38 is further simplified by dividing both numerator and denominator by 2 we get, = 9/19 Hence, 9/19 = 9/19 Therefore, 27cm² : 57cm² = 18cm : 38cm

37.

State whether the given statement are true (T) or false (F).27cm2 : 57cm2 = 18cm : 38cm

Answer»

True

Consider the two ratios 27cm² : 57cm² = 18cm : 38cm

27/57 = 18/38

27/57 is further simplified by dividing both numerator and denominator by 3 we get,

= 9/19

18/38 is further simplified by dividing both numerator and denominator by 2 we get,

= 9/19

Hence, 9/19 = 9/19

Therefore, 27cm² : 57cm² = 18cm : 38cm

Discussion

38.	Give the equivalent ratios of 6 : 8.
Answer» Given 6: 8 By multiplying both numerator and denominator by 2 we equivalent ratios 6/8 × (2/2) = 12/16 And also by dividing both numerator and denominator by 2 we equivalent ratios (6/2)/ (8/2) = 3/4 Two equivalent ratios are 3: 4 = 12: 16

38.

Give the equivalent ratios of 6 : 8.

Answer»

Given 6: 8

By multiplying both numerator and denominator by 2 we equivalent ratios

6/8 × (2/2) = 12/16

And also by dividing both numerator and denominator by 2 we equivalent ratios

(6/2)/ (8/2) = 3/4

Two equivalent ratios are 3: 4 = 12: 16

Discussion

39.	A ratio is the lowest term is 3:8. If the difference between the quantities is 25. Find the quantities.
Answer» Let the numbers are 3x and 8x Given 8x – 3x = 25 5x = 25 ⇒ X = 5 ∴ Two numbers are 3(5) & 8(5) i.e., 15 and 40.

39.

A ratio is the lowest term is 3:8. If the difference between the quantities is 25. Find the quantities.

Answer»

Let the numbers are 3x and 8x

Given 8x – 3x = 25

5x = 25 ⇒ X = 5

∴ Two numbers are 3(5) & 8(5)

i.e., 15 and 40.

Discussion

40.	Divide ₹880 between Rajan and kamal in the ratio (1/5): (1/6).
Answer» From the question, Sum of the ratios (1/5): (1/6) = (1/5) + (1/6) = (6 + 5)/30 = 11/30 Total share Rajan has = ₹880 × [(1/5) / (11/30)] = 880 × [(1/5) × (30/11)] = 880 × (6/11) = ₹480 Total share kamal has = ₹880 × [(1/6) / (11/30)] = 880 × [(1/6) × (30/11)] = 880 × (5/11) = ₹400

40.

Divide ₹880 between Rajan and kamal in the ratio (1/5): (1/6).

Answer»

From the question,

Sum of the ratios (1/5): (1/6)

= (1/5) + (1/6)

= (6 + 5)/30

= 11/30

Total share Rajan has = ₹880 × [(1/5) / (11/30)]

= 880 × [(1/5) × (30/11)]

= 880 × (6/11)

= ₹480

Total share kamal has = ₹880 × [(1/6) / (11/30)]

= 880 × [(1/6) × (30/11)]

= 880 × (5/11)

= ₹400

Discussion

41.	Divide 5880 is to three parts, such that ‘B’ receive thrice as ‘A’ and C receives \(\frac{5^{th}}{6}\) of what B receives.
Answer» Let A receive Rs.x and B receives Rs. 3x and C receive \(\frac{5}{6}\)(3x) = \(\frac{5}{2}\)x ∴ A:B:C= 1:3:\(\frac{5}{2}\) = 2:6:5 ∴ A’s share = \(\frac{2}{13}\) × 5880 = 904.6 B’s share = \(\frac{6}{13}\) x 5880 = 2713.8 C’s share = \(\frac{5}{13}\) x 5880 = 2261.5

41.

Divide 5880 is to three parts, such that ‘B’ receive thrice as ‘A’ and C receives \(\frac{5^{th}}{6}\) of what B receives.

Answer»

Let A receive Rs.x and B receives Rs. 3x and C receive \(\frac{5}{6}\)(3x) = \(\frac{5}{2}\)x

∴ A:B:C= 1:3:\(\frac{5}{2}\) = 2:6:5

∴ A’s share = \(\frac{2}{13}\) × 5880 = 904.6

B’s share = \(\frac{6}{13}\) x 5880 = 2713.8

C’s share = \(\frac{5}{13}\) x 5880 = 2261.5

Discussion

42.	State whether the given statement are true (T) or false (F).15m : 40m = 35m : 65m
Answer» False. Consider the two ratios 15m : 40m = 35m : 65m 15/40 = 35/65 15/40 is further simplified by dividing both numerator and denominator by 5 we get, = 3/7 35/65 is further simplified by dividing both numerator and denominator by 5 we get, = 7/13 Hence, 3/7 ≠ 7/13 Therefore, 15/40 ≠ 35/65

42.

State whether the given statement are true (T) or false (F).15m : 40m = 35m : 65m

Answer»

False.

Consider the two ratios 15m : 40m = 35m : 65m

15/40 = 35/65

15/40 is further simplified by dividing both numerator and denominator by 5 we get,

= 3/7

35/65 is further simplified by dividing both numerator and denominator by 5 we get,

= 7/13

Hence, 3/7 ≠ 7/13

Therefore, 15/40 ≠ 35/65

Discussion

43.	If 3 : 4 and 9 : x are in direct proportion, then what is the value of x?
Answer» If 3 : 4 and 9 : x are in direct proportion, then their ratio is constant. ∴ 3/4 = 9/x ⇒ 3 × x = 4 × 9 ⇒ x = 4 x 9/3 = 12

43.

If 3 : 4 and 9 : x are in direct proportion, then what is the value of x?

Answer»

If 3 : 4 and 9 : x are in direct proportion, then their ratio is constant.

∴ 3/4 = 9/x

⇒ 3 × x = 4 × 9

⇒ x = 4 x 9/3 = 12

Discussion

44.	Divide ₹5600 between A, B and C in the ratio 1: 3: 4
Answer» From the question, Sum of the ratios 1: 3: 4 = 1 + 3 + 4 = 8 Total share A has = ₹ 5600 × (1/8) = ₹700 Total share B has = ₹ 5600 × (3/8) = ₹2100 Total share c has = ₹ 5600 × (4/8) = ₹2800

44.

Divide ₹5600 between A, B and C in the ratio 1: 3: 4

Answer»

From the question,

Sum of the ratios 1: 3: 4 = 1 + 3 + 4 = 8

Total share A has = ₹ 5600 × (1/8) = ₹700

Total share B has = ₹ 5600 × (3/8) = ₹2100

Total share c has = ₹ 5600 × (4/8) = ₹2800

Discussion

45.	Fill in the blanks to make the statement true.A ratio expressed in lowest form has no common factor other than ______ in its terms.
Answer» A ratio expressed in lowest form has no common factor other than one in its terms.

Discussion

46.	State whether the given statement are true (T) or false (F).3 : 33 = 33 : 333
Answer» False. Consider the two ratios 3: 33 = 33 : 333 3/33 = 33/333 0.0909 ≠ 0.0990

46.

State whether the given statement are true (T) or false (F).3 : 33 = 33 : 333

Answer»

False.

Consider the two ratios 3: 33 = 33 : 333

3/33 = 33/333

0.0909 ≠ 0.0990

Discussion

47.	Fill in the blanks to make the statement true.To find the ratio of two quantities, they must be expressed in _____units.
Answer» To find the ratio of two quantities, they must be expressed in same units.

Discussion

48.	Divide 81 into three parts in the ratio 2 : 3 : 4.
Answer» Given: Number = 81 Ratio = 2 : 3 : 4 Hence, the sum of ratio is calculated as follows Sum of ratios = 2 + 3 + 4 = 9 First divide = 2/9 × 81 = 18 Second divide = 3/9 × 81 = 27 Third divide = 4/9 × 81 = 36 Therefore, 81 can be divided into 18, 27 and 36 in the ratio 2 : 3 : 4.

48.

Divide 81 into three parts in the ratio 2 : 3 : 4.

Answer»

Given:

Number = 81

Ratio = 2 : 3 : 4

Hence, the sum of ratio is calculated as follows

Sum of ratios = 2 + 3 + 4 = 9

First divide = 2/9 × 81

= 18

Second divide = 3/9 × 81

= 27

Third divide = 4/9 × 81

= 36

Therefore, 81 can be divided into 18, 27 and 36 in the ratio 2 : 3 : 4.

Discussion

49.	State whether the given statement are true (T) or false (F).0.2 : 5 = 2 : 0.5
Answer» False. Consider the two ratio, 0.2: 5 = 2: 0.5 0.2/5 = 2/0.5 0.04 ≠ 4

49.

State whether the given statement are true (T) or false (F).0.2 : 5 = 2 : 0.5

Answer»

False.

Consider the two ratio, 0.2: 5 = 2: 0.5

0.2/5 = 2/0.5

0.04 ≠ 4

Discussion

50.	State whether the given statement are true (T) or false (F).4 : 7 = 20 : 35
Answer» True. Consider the two ratio, 4: 7 = 20: 35 = 4/7 = 20/35 20/35 is further simplified by dividing both numerator and denominator by 5 we get, 4/7 Therefore, 4/7 = 4/7

50.

State whether the given statement are true (T) or false (F).4 : 7 = 20 : 35

Answer»

True.

Consider the two ratio, 4: 7 = 20: 35

= 4/7 = 20/35

20/35 is further simplified by dividing both numerator and denominator by 5 we get,

4/7

Therefore, 4/7 = 4/7

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Grasshopper makes a chirping sound by a) rubbing two legs together b) rubbing one of its legs along one of its wings. c) rubbing its wings together d) rubbing its back leg against one of its antennae.

How long are the world’s largest grasshoppers? 20mm, 90mm, 100mm, 120mm.

Write a short paragraph about grasshoppers in five to six sentences.

Grasshopper do not havt ears, yet they can pick up Uibrations How?

Sit in pairs. Read the following statements and frame questions. Use the clues given in the bracket: One is done for you. e.g. A: My father is a teacher. What is your father?

How many wings does a grasshopper have?

What helps a grasshopper fly?

Fill in the blanks: 1. The two-striped grasshopper will eat plants that are ________ to cattle. 2. The grasshopper- make sounds of ___________ on a suppliers-nigliV 3. The __________ organ can pick up vibrations from the air and on the ground to the grasshopper.

How many eyes does a grasshopper have?

Can you draw the picture of a grasshopper? What do you know about grasshoppers?

What made ‘the old lady angry?

How did people react to the old lady when she went about explaining her plight?

‘I mill abide by her decision’ a) Who agreed to abide by decision? b) Where did the person make the statement? c) What decision is referred to here?

Say True or False : A grasshopper in blind and deaf

The ratio of expenditure and salary of a person is 2 : 5. If salary of a person is Rs. 8,000, then what is his expenditure?(A) Rs. 3,000(B) Rs. 3,200(C) Rs. 3,500(D) Rs. 3,100

A and B have incomes in the ratio 5 : 3. The expenses of A, B and C are in the ratio 8 : 5 : 2. If C spends Rs. 2,000 and B saves Rs. 700. What is the saving of A?(A) Rs. 2,000(B) Rs. 1,500(C) Rs. 1,900(D) Rs. 9,500

Two numbers are in the ratio 3: 5. If 8 is added to each number, the ratio becomes 2:3. Find the numbers.

Divide Rs 2000 among P, Q, R in the ratio 2: 3: 5.

State whether the given statement are true (T) or false (F).The ratio of 10kg to 100kg is 1:10

Divide Rs 1350 between Ravish and Shikha in the ratio 2: 3.

State whether the given statement are true (T) or false (F).12 hours : 30 hours = 8km : 20km

State whether the given statement are true (T) or false (F).The ratio of 150cm to 1metre is 1:1.5.

Two positive numbers are in the ratio 3 : 5 and the difference between their squares is 400. Find the numbers.

The ages of two persons are in the ratio 5: 7. Eighteen years ago their ages were in the ratio 8: 13. Find their present ages.

Two numbers are in the ratio 2: 7. 11 the sum of the numbers is 810. Find the numbers.

Find the fourth proportional to the numbers 5, 7, 30.

Find the fourth proportional to the numbers 8, 36, 6.

The fourth proportional to 4, 9, 12 is.

Two numbers are is the ratio 3:5. If 5 is added to each , they are is the ratio. 2:3 find the numbers.

What must be added to each term is the ratio 2 : 3 so that is becomes 5:6.

State whether the given statement are true (T) or false (F).20g : 100g = 1metre : 500cm

State whether the given statement are true (T) or false (F).5kg : 7.5kg = Rs 7.50 : Rs 5

Divide 6000 into three parts is the ratio \(\frac{1}{2}: \frac{1}{3}: \frac{1}{6}\)

Fill in the following blanks:12/20 = …. /5 = 9/….

State whether the given statement are true (T) or false (F).27cm2 : 57cm2 = 18cm : 38cm

Give the equivalent ratios of 6 : 8.

A ratio is the lowest term is 3:8. If the difference between the quantities is 25. Find the quantities.

Divide ₹880 between Rajan and kamal in the ratio (1/5): (1/6).

Divide 5880 is to three parts, such that ‘B’ receive thrice as ‘A’ and C receives \(\frac{5^{th}}{6}\) of what B receives.

State whether the given statement are true (T) or false (F).15m : 40m = 35m : 65m

If 3 : 4 and 9 : x are in direct proportion, then what is the value of x?

Divide ₹5600 between A, B and C in the ratio 1: 3: 4

Fill in the blanks to make the statement true.A ratio expressed in lowest form has no common factor other than ______ in its terms.

State whether the given statement are true (T) or false (F).3 : 33 = 33 : 333

Fill in the blanks to make the statement true.To find the ratio of two quantities, they must be expressed in _____units.

Divide 81 into three parts in the ratio 2 : 3 : 4.

State whether the given statement are true (T) or false (F).0.2 : 5 = 2 : 0.5

State whether the given statement are true (T) or false (F).4 : 7 = 20 : 35

Fill in the blanks: 1. The two-striped grasshopper will eat plants that are __ to cattle. 2. The grasshopper- make sounds of _ on a suppliers-nigliV 3. The ______ organ can pick up vibrations from the air and on the ground to the grasshopper.