Basic Maths
Unitary Method
Ratio and Proportion
Fractions
Number system & Decimals
100

How many months have 28 days?

All of them—some just have more!

100

If 12 oranges cost ₹180, how much will 5 oranges cost?

Cost of 1 orange = 180 ÷ 12 = ₹15
Cost of 5 oranges = 15 × 5 = ₹75

100

If the ratio of boys to girls in a class is 3:2 and there are 9 boys, how many girls are there?

 6

100

Add the fractions: 3/6 + 2/5 = ?

27/30 (9/10)

100

Find the successor and predecessor of 9,999

Successor = 10,000
Predecessor = 9,998

200

Solve for x in the equation: 3x + 5 = 20

5

200

The cost of 12 kg of rice is ₹480. Find how much rice can be bought for ₹200

5 kg

200

Divide ₹240 in the ratio 2:3:5 among three children. How much does each child get?

₹48, ₹72, ₹120

200

Subtract 2/5 from 3/4

7/20

200

Arrange the following in ascending order:
0.6, 0.56, 0.65, 0.506

0.506 < 0.56 < 0.6 < 0.65

300

what is 25% of 80

20

300

A machine can print 240 pages in 6 hours. How many pages can it print in 2 hours, assuming it works at a constant rate?

The unitary method involves finding the value for one unit first and then scaling it up or down. Here, pages printed in 6 hours = 240. Pages printed in 1 hour = 240 ÷ 6 = 40 pages. Therefore, pages printed in 2 hours = 40 × 2 = 80 pages.

300

The ratio of the ages of two brothers is 3:5. If the younger brother is 9 years old, find the age of the older brother and check if they are in proportion with another pair 6:10.

15 years , Yes, 3:5

300

Which is greater: 5/6 or 4/5?

5/6

300

A ribbon is 4.5 meters long. If it is cut into pieces of 0.75 meters each, how many pieces can be made?

6

400

At 5 a.m., the temperature was −6°C.
By 10 a.m., it rose by 9°C.
In the afternoon, it fell by twice the rise that occurred in the morning.
At night, it rose again by 4°C

Find the temperature at night

−11°C

400

18 painters paint 54 rooms in 9 days. How many rooms will 24 painters paint in 9 days?

72 rooms

400

In a factory, the ratio of workers to supervisors is 7:2. If there are 144 workers and supervisors in total, how many supervisors are there?

32 supervisors

400

Add 1/3 to the product of 2/5 and 3/4 and then subtract the result from 5/6

1/5

5/6−[1/3+(2/5×3/4)]
 

400

How many 3-digit numbers are there?

Smallest 3-digit number = 100
Largest 3-digit number = 999

Total = 999 − 100 + 1 = 900 numbers

500

I am an odd number. Take away a letter, and I become even. What number am I?

Seven (remove the 's' to get "even")

500

If 3 machines produce 90 items in 6 hours, how many items will 1 machine produce in 1 hour?

Items produced per hour by 3 machines = 90 ÷ 6 = 15
Items produced per hour by 1 machine = 15 ÷ 3 = 5 items

500

In a school, the ratio of students to teachers is 45:3. If there are 360 students in the school, how many teachers are there? The school decides to maintain a new ratio of 30:2 (students to teachers). How many additional teachers should be hired?

24 , no addition

500

Meera walked 3/4 km in the morning and 2/3 of that distance in the evening.
What total distance did she walk in a day?

1.25 km

500

Find the smallest number which when divided by 6, 8, and 12 leaves remainder 5

LCM of (6, 8, 12) = 24
Required number = 24 + 5 = 29

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