AISSEE - 24-Feb-2019 - Class-VI - Set-A

Supplementary angles are the angles when two angles add up to 180°.
The sum of the angles 113° + 67° = 180°
Therefore the correct answer will be 113° and 67°.

A train leaves Hyderabad at 01:15 PM on Friday and reaches Chennai at 07:30 AM on Saturday.
Time duration from 1:15 PM (Friday) till 12:00 AM (Saturday) = 10 hours and 45 minutes
Time duration from 12:00 AM (Saturday) till 7:30 AM (Saturday) = 7 hours and 30 minutes
Total duration of the journey = 17 hours and 75 minutes = 18 hours and 15 minutes

Area of a rectangle can be calculated using the formula = Length × Breadth
Length = 4ab
Breadth = 6ab
Therefore, the area of the given rectangle will be = 24 (ab × ab) = 24a²b²

Radius of the base of cone = (24 ÷ 2) = 12 m
Slant height of the cone = 21 m
Total surface area of the cone = πr (r + l)

= 22/7 × 12 (12 + 21) m²

= 22/7 × 12 × 33 m²

= 1244.57 m²

Let number be x

Then, 1/3 of x = 64( given).

Therefore, x = 64 × 3 = 192.
Now divide 192 by 2 (since the question asks for half of the number)
Which gives the correct answer as 96

One day work done by 10 men = 1/4
One day work done by 1 men = 1/4 × 1/10 = 1/40
Total units of work = 40
Number of men required to complete the work in 5 days = 40/5 = 8

Side of square garden = 560 m
Perimeter of the garden = Side × 4 = 560 × 4 = 2240 m
Cost of fencing 2240 m at the cost of Rs. 12 per 10 m = (2240 ÷ 10) × 12 = Rs. 2688

Dividend = Divisor × Quotient + Remainder
Dividend = 51 × 16 + 27
Dividend = 843

LCM of 12, 15 and 18 is 180.
They started ringing together at 8 : 35 AM
Second time they ringing together = 8 : 35 + 180 seconds = 8 : 35 + 3 minutes = 8 : 38 AM

The pattern is that every other number is followed by its square.
For example:
2 is followed by 4 which is its square.
3 is followed by 9 which is its square.
In the same way, 7 will be followed by 49.

2 + 2/10 + 2/100

= 2 + 0.2 + 0.02

= 2.22

Total number of balls = 15 dozen = 15 × 12 = 180

Number of black balls = one-fifth of the total balls

Number of black balls = 1/5 × 180 = 36

Correct answer = 2356 × 54 = 127224
Wrong answer = 2356 × 45 = 106020
Required difference = 127224 - 106020 = 21204

Total number of students in the college = 4320
Number of girls = 2300
A.T.Q.:
Number of boys = 4320 - 2300 = 2020
Ratio of number of boys to the number of girls = 2020 : 2300 = 404 : 460 = 101 : 115

10 = 2 × 5
12 = 2 × 2 × 3
15 = 3 × 5
20 = 2 × 2 × 5
L.C.M of 10, 12, 15, 20 = 2 × 2 × 3 × 5 = 60
So, the smallest number when divided by 10, 12, 15, 20 leaves remainder 4 in each case is 60 + 4 = 64

Distance = 3.32 km
Time = 10 s
speed = ?
We know that, speed = distance ÷ time = 3.32 km ÷ 10 sec
= 3320 m ÷ 10 sec (because 1 km = 1000 m)
= 332 m/s

Speed = 20 m/s
Speed in km/hr = (20 × 3600) ÷ 1000 (because 1 m = 1/1000 km and 1 hr = 3600 sec)
= 72 km/hr

Sum of two numbers = 5283759
One number = 2354281
Other number = 5283759 - 2354281 = 2929478
Difference between the numbers = 2929478 - 2354281 = 575197

As 9 is in the thousands column, so the place value of 9 in the number 9063 is 9000.

Population of town = 200000
Number of males = 40% of 200000 = 40/100 × 200000 = 80000
Number of females = 30% of 200000 = 30/100 × 200000 = 60000
Number of males and females altogether = 80000 + 60000 = 140000
Number of children = 200000 - 140000 = 60000

Cost of 1 dozen of pens = Rs. 180
Cost of 12 pens = Rs. 180
Cost of 1 pen = 180 ÷ 12 = Rs. 15
Cost of 8 pencils = Rs. 56
Cost of 1 pencil = 56 ÷ 8 = Rs. 7
Ratio of cost of a pen to the cost of a pencil = 15 : 7

Multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40
Multiples of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
Multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120
So, common multiples of 4, 5 and 8 = 40, 80, 120,
As common multiples are going up in 40's, so we can keep counting in 40's to find more common multiples of 4, 5 and 8.
⇒ Common multiples = 40, 80, 120, 160, 200, 240
Number of seconds in 4 minutes = 4 × 60 = 240 seconds
So, after 10:00 AM three clocks will ring together for the second time after 40 seconds at 10:00:40 and again and again after every 40 seconds.
So altogether they will ring 6 times within a time span of 4 minutes from 10:00 AM.

Let the number be 'y'

⇒ 49 + y / 68 + y = 3/4

After cross multiplication:

4 × (49 + y) = 3 × (68 + y)

⇒ 196 + 4y = 204 + 3y

⇒ 204 - 196 = 4y - 3y

⇒ y = 8

35% of A = 3/4 of 48 + 62

35/100 × A = 3/4 × 48 + 62

⇒ 0.35 A = 144 ÷ 4 + 62

⇒ 0.35 A = 36 + 62

⇒ A = 98 ÷ 0.35

⇒ A = 280

Let cost price = X
Selling price = Rs. 96
Loss = 4% of cost price = 0.04 X
Loss = Cost price - Selling price
0.04 X = X - 96
0.04 X = X - 96
X - 0.04 X = 96
0.96 X = 96
X = 96 ÷ 0.96
= Rs. 100
For 20%. gain selling price should be 100 + 100 × 20/100
= 100 + 20
= Rs. 120

Average age of 4 sisters = 7 years
Total age = 7 × 4 = 28 years
New average when age of mother is included = 7 + 6 = 13 years
Total age when age of mother is included = 13 × 5 = 65 years
So, age of mother = 65 - 28 = 37 years

Side of square plot = 84 m
Area of square plot = 84 × 84 = 7056 m²
Length of rectangular plot = 144 m
Area of rectangular plot = 7056 m² {Given}
Breadth of rectangular plot = Area ÷ Length
= 7056 ÷ 144 = 49 m
So, breadth of rectangular plot = 49 m

Length of pit = 6 m
Width of pit = 5 m
Height of pit = 3 m
Total volume of pit = l × b × h
= 6 × 5 × 3 = 90 m³
Rate of digging = Rs. 30 per m³
Cost of digging = 30 × 90
= Rs. 2700

Speed of Machine boat = 24 km/hr
Distance traveled in 7 hours = 24 × 7 = 168 km
Speed of Long Tail boat = 14 km/hr
Distance traveled in 7 hours = 14 × 7 = 98 km
Total distance traveled = 168 + 98 = 266 km

A number is divisible by 11, If the difference between the sum of digits at odd places and the sum of digits at even places is equal to 0 or a multiple of 11.

Sum of digits at odd places in the number 653*47 = 6 + 3 + 4 = 13 ........(i)

Sum of digits at even places in the number 653*47 = 5 + * + 7 = 12 + * .........(ii)

So, difference between the sum of digits at odd places and the sum of digits at even places = (i) - (ii)

To find value of * equation must be kept equal to 0.

⇒ 13 - (12 + *) = 0

⇒ 13 - 12 - * = 0

⇒ 13 - 12 = *

⇒ * = 1

Milk drank by Vineeta in a day = 250 ml

Milk drank by rest of her family in a day = 2 × 250 = 500 ml

Total milk consumed by Vineeta and rest of her family in a day = 250 + 500 = 750 ml

Number of days in February in year 2016 = 29 {2016 was a leap year}

Total quantity of milk consumed by the family during the month of February 2016 = 29 × 750

= 21750 ml

= 21.75 L

Fraction of pages she reads everyday = 1/8 of total pages
Fraction of pages she read in 5 days = 5/8 of total pages
Remaining fraction = 1 - 5/8 = 3/8
Now, according to the question, Remaining number of pages = 174 = 3/8 of total pages
Total number of pages in the book = 174 × 8/3 = 464

Degrees in straight angle = 180°

Degrees in 2/5 of a straight angle = 2/5 of 180° = 2/5 × 180° = 2 × 36° = 72°

Ratio between the length and breadth = 5 : 3
Let length of rectangle = 5x
Breadth of rectangle = 3x
Perimeter of rectangle = 480 m
2 × (length + breadth) = 480 m
2 × (5x + 3x) = 480 m
8x = 480 ÷ 2 = 240
x = 240 ÷ 8 = 30
x = 30 m
Length = 5x = 5 × 30 = 150 m
Breadth = 3x = 3 × 30 = 90 m
Area of rectangle = length × breadth = 150 × 90 = 13,500 m²

L.C.M. of 35, 36, 72 and 80 = 5040

So, the smallest number which when divided by 35, 36, 72 and 80 leaves a remainder 1 in each case is: 5040 + 1 = 5041.

As we know, 1 m = 100 cm
Length of floor = 10 m = 1000 cm
Breadth of floor = 8 m = 800 cm
Area of floor = length × breadth = 1000 × 800 = 800000 cm²

Length of tile = 20 cm
Breadth of tile = 10 cm
Area of tile = 20 × 10 = 200 cm²

Area of floor = Number of tiles × Area of 1 tile
800000 = Number of tiles × 200
800000 ÷ 200 = Number of tiles
Number of tiles = 4000

Speed of train = 60 km/hr = 60 × 5/18 = 16.67 m/sec
Length of train = 110 m

Length of platform = 70 m

Total distance the train has to cover = 110 + 70 = 180 m

As we know,

Speed = Distance ÷ Time

So,
Time = Distance ÷ Speed = 180 ÷ 16.67 = 10.79 seconds ≈ 10.8 seconds

Let number of men in office = 4x
Number of women in office = 3x
360 = 3x
x = 360 ÷ 3 = 120
Number of men = 4 × 120 = 480
Total number of employees = 360 + 480 = 840

12 men = 18 women

⇒ 1 man = 3/2 women

4 men = (3/2) × 4 = 6 women

Total women = 6 + 8 = 14
18 women can do a piece of work in 7 days.

Work done by 14 women = 14 / 7 × 18 = 1/9 units

Hence, 4 men and 8 women can complete the work in 9 days.

Renewable energy sources are energy sources that are always being replenished. They can never be depleted. Some examples of renewable energy sources are solar energy, wind energy, hydro power, geothermal energy, and biomass energy. Solar energy refers to capturing the energy from the Sun and subsequently converting it into electricity. We can then use that electricity to light up our homes, streets, and businesses, and power our machines as well. So, Sun is renewable source of energy.

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Mango is the odd one out among the listed substances because it is a fruit (a plant product) while all the other options are obtained from animals.

Synthetic fibers are made from synthesized polymers of small molecules. The compounds that are used to make these fibers come from raw materials such as petroleum based chemicals or petrochemicals. These materials are polymerised into a chemical that bond two adjacent carbon atoms. So, Synthetic fibers are obtained from chemicals.

The first Modern Olympic Games took place in Athens, Greece, from 6^th to 15^th April, 1896. The inaugural games of the modern Olympics were attended by as many as 280 athletes, all males, from 12 countries. The athletes competed in 43 events covering athletics (track and field), cycling, swimming, gymnastics, weightlifting, wrestling, fencing, shooting, and tennis. Winners were given a silver medal, while runners-up received a copper medal.

King Ashoka is linked to the ''chakra'' in the national flag of India.
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King Harshavardhana started the organisation of Kumbh fair at Allahabad. The Allahabad Kumbh Mela is a mela held every 12 years at Allahabad, India. The exact date is determined according to Hindu astrology. The mela is held when Jupiter is in Taurus, and Sun and Moon are in Capricorn.

The Championships, Wimbledon, commonly known simply as Wimbledon, or The Championships, is the oldest tennis tournament in the world, and is regarded by many as the most prestigious. It has been held at the All England Club in Wimbledon, London, since 1877 and is played on outdoor grass courts, and since 2009 with a retractable roof over Centre Court.
Wimbledon is one of the four Grand Slam tennis tournaments, the others being the Australian Open, the French Open and the US Open. Since the Australian Open shifted to hardcourt in 1988, Wimbledon is the only major still played on grass, which is widely considered as the classic tennis court.

The Lion of Punjab is a colloquial title that most commonly refers to the Indian independence activist, Lala Lajpat Rai.
He was an Indian freedom fighter. He played a pivotal role in the Indian independence movement. He was popularly known as Punjab Kesari. He was one third of the Lal Bal Pal triumvirate.

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Ornithology is a branch of zoology that concerns the study of birds. Several aspects of ornithology differ from related disciplines, due partly to the high visibility and the aesthetic appeal of birds.

The earth experiences equal day and night on 23 September. The sun on this day crosses the plane of the earth's equator making day and night of approximately equal duration. The event known as equinox is eagerly awaited by space enthusiasts as it takes place twice a year on 21 March and 23 September.

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Diamond is the hardest known naturally occurring substance and is a solid form of the element carbon with its atoms arranged in a crystal structure called diamond cubic. At room temperature and pressure, another solid form of carbon known as graphite is the chemically stable form, but diamond almost never converts to it.

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Playing time of the full version of the National Anthem is approximately 52 seconds. A short version consisting of first and last lines of the stanza (playing time approximately 20 seconds) is also played on certain occasions.

A lactometer is an instrument that is used to check for the purity of milk by measuring its density. It helps to find out the content of the water in the milk or to test the richness of the milk. It works on the principle of gravity.

The Indian Armed Forces Flag Day is observed every year on 7^th December since 1949 to honour the soldiers, airmen and sailors of India who fought on the borders to safeguard the country's honour. It is a day dedicated to collection of funds from people for the welfare of the Armed Forces personnel.

Fruit is the fleshy or dry ripened ovary of a flowering plant, enclosing the seed or seeds. Thus, apricots, bananas, and grapes, as well as bean pods, corn grains, tomatoes, cucumbers, and (in their shells) acorns and almonds, are all technically fruits.

The Raymond Group was incorporated in 1925 and, within a span of a few years, transformed from being an Indian textile major to being a global conglomerate. Raymond is related to textile and it is not associated with manufacturing of vehicles.

Covering approximately 20 percent of the earth's surface, the Atlantic Ocean is the second largest ocean basin in the world, following only the Pacific. However, it is only slightly larger than half the size of the Pacific Ocean.

The term 'blue revolution' refers to the remarkable emergence of aquaculture as an important and highly productive agricultural activity. Aquaculture refers to all forms of active culturing of aquatic animals and plants, occurring in marine, brackish, or fresh waters.

Hyderabad is the capital city of Andhra Pradesh, situated on the banks of Musi River in the south of India. This city is famous for pearls and known as the "Pearl City of India". This is also known as the Nizam City because of the Nizam's rule.
Hyderabad acquired the moniker 'City of Pearls in India' due to its booming pearl processing and trading industry.

India's first Nobel Prize for Physics was claimed in 1930 by the renowned physicist Sir C. V. Raman.
Sir Chandrashekhara Venkata Raman was an Indian physicist born in the former Madras Province in India, who carried out ground-breaking work in the field of light scattering.

The passage mentions "new studies show that animals are quite intelligent and sensitive. Animal intelligence isn't found only in mammals. It can be found in other animals, such as birds".

The passage mentions: "An African grey parrot named ''Alex'' does more than just imitate human sounds. This parrot can name dozens of objects. It also seems to understand the ideas of 'same,' 'different' and 'amount'.''

The sentence "Although people call us 'Birdbrains' as an insult, our feathered friends can be very smart" indicates that when we use the term 'birdbrains' for somebody, we mean 'small' brains as an insult.

The passage reads "birds may have a higher degree of connectivity between the sections of their brains. This could indicate more intelligence and faster reasoning than previously believed". 

The word 'appreciate' is a synonym of 'admire',

'Whisper' means to speak very softy.

'Were' suggests that a plural noun is to be used. 

The sentence is comparing Rita and Swetha. So, the comparative form of 'intelligent', i.e. 'more intelligent' will be used.

Since the subject part of the sentence is in present tense, the predicate will also be in same tense.

The correct order of words is 'some months ago they came to India'

The correct order of words is 'We should take active part in ''Swachh Bharat Mission''.

'Curator' is a keeper or custodian of a museum or other collection.

The adjective 'voracious' is used for someone engaging in an activity with great eagerness or enthusiasm. As per the context (who reads a lot of books or reads regularly), only 'voracious' fits.

'Duke' is a male holding the highest hereditary title in the British and certain other peerages and 'duchess' is a woman holding a rank equivalent to duke in her own right.

'To feign' means to pretend to have a feeling or condition. As she was not ready to participate, she pretended to be ill.

Quick, quicker, quickest are the degrees of comparison of the adjective 'quick'.
In this sentence, 'more quickly', the comparative of the adverb 'quickly', shall be used. The filler needs an adverb for the verb 'returned.'

'Although' and 'yet' are used in a sentence together to show contrast.

To show comparison between two things or persons, with 'senior' the preposition 'to' is used.

'To bell the cat' means 'to attempt or agree to attempt an impossibly difficult task'

For the singular male, Tom, 'his' is the correct pronoun (used in place of a noun),

The word 'least' refers to the the smallest amount or number. 'February' has the lowest number of days among all the months.

Adjective form of the word is needed to describe 'hands.' So, 'shivering' fits.

If two places are to be joined by prepositions, the smaller place (Rameshwaram) is preceded by 'at' and the bigger place (Tamil Nadu) by 'in'.

When two opposite things or actions are being talked about, we use 'but' as a conjunction to convey the difference. Here, the sentence mentions about 'trying to hit the nail' but 'hitting the thumb instead'.