Mathematics Part 9 2024

Total Questions: 50

1 - If the cost of tiles is 5 rupees sq. m, what will be the cost for 400 sq. m?

A ) 2000 rupees ✅
B ) 2250 rupees
C ) 3160 rupees
D ) 3080 rupees

Explanation:

Total cost = Rate per sq. m × Area

= 5 × 400
= Rs. 2,000 

2 - What is the product of-2,-3, and-10?

A ) -60 ✅
B ) 60
C ) -30
D ) 30

Explanation:

What is the product of-2,-3, and-10?

Trick: Count the negative signs!

Odd number of negatives → Negative answer
Even number of negatives → Positive answer

(-2) × (-3) × (-10)

There are 3 negative signs (odd), so the answer is negative.

2 × 3 × 10 = 60

Answer: -60 

3 - If a train travels 180 km at a speed of 60 km/h ,how much less time will it take to complete the same journey at a speed of 70 km/h?

A ) 30 minutes
B ) 26 minutes ✅
C ) 20 minutes
D ) 15 minutes

Explanation:

If a train travels 180 km at a speed of 60 km/h ,how much less time will it take to complete the same journey at a speed of 70 km/h?

Trick: Time saved = (Distance × Speed difference) ÷ Product of speeds

Distance = 180 km
Speed difference = 70 − 60 = 10 km/h

Time saved = (180 × 10) ÷ (60 × 70)
= 1800 ÷ 4200
= 3/7 hour

Convert to minutes:
3/7 × 60 = 25.71 minutes

Answer: Approximately 25 minutes 43 seconds less.=26min  

4 - A train covers 32 kilometers in 14.5 minutes .If it continues to travel at the same rate ,which of the following is closest to the distance it will travel in 2 hours?

A ) 54 km
B ) 265km ✅
C ) 364km
D ) 928km

Explanation:

A train covers 32 kilometers  in 14.5 minutes .If it continues to travel at the same rate ,which of the following is closest to the distance it will travel in 2 hours?

Trick: Distance = (Given distance × Total time) ÷ Given time

2 hours = 120 minutes

Distance = (32 × 120) ÷ 14.5
= 3840 ÷ 14.5
≈ 264.83 km

Answer: Approximately 265 km. 

5 - If the perimeter of a sector of a circle of radius 6.5 cm is 29 cm, then itd area is__________.

A ) 58cm²
B ) 52cm²
C ) 25cm²
D ) 56cm² ✅

Explanation:

If the perimeter of a sector of a circle of radius 6.5 cm is 29 cm, then itd area is__________.?

Trick: Area of a sector = ½ × Radius × (Perimeter − 2 × Radius)

Radius = 6.5 cm
Perimeter = 29 cm

Arc length = 29 − (2 × 6.5) = 16 cm

Area = ½ × 6.5 × 16
= 52 cm²

Answer: 52 cm² 

6 - How many pieces of 13.2 cm can be cut from a 330 cm long rod:

A ) 250
B ) 25 ✅
C ) 43.56
D ) 2.5

Explanation:

How many pieces of 13.2 cm can be cut from a 330 cm long rod:

Number of pieces = Total length ÷ Length of each piece

= 330 / 13.2
= 3300 / 132
= 25

Answer: 25 pieces 

7 - In how many ways 4 boys and 3 girls can be seated in a row so that they are alternate?

A ) 144 ✅
B ) 288
C ) 12
D ) 256

Explanation:

In how many ways 4 boys and 3 girls can be seated in a row so that they are alternate?

Trick: Since there is one more boy, the arrangement must be:

B G B G B G B

Arrange 4 boys = 4! = 24 ways
Arrange 3 girls = 3! = 6 ways

Total ways = 4! × 3!
= 24 × 6
= 144

Answer: 144 ways 

11 - If k≤x≤3k+12 which of the following must ll: k≥-6 lll :x-k≥o be true ? l :x-12≤ 3k

A ) l only
B ) l and ll only
C ) ll and lll only
D ) l,ll and lll ✅

26 - If^2ab deflnes "x"______.

A ) 2ab√x
B ) b√x^2a ✅
C ) b(x)^2a
D ) None of these

35 - What comes next in sequence? 1/5, 1/9, 1/13, 1/17,

A ) 1/16
B ) 1/19
C ) 1/20
D ) 1/21 ✅

36 - 4.036 divided by 0.04=

A ) 10.09
B ) 100.9 ✅
C ) 1.009
D ) 109

37 - 3889+ 12.952-(x)= 3854.002 the value of x is_______.

A ) 47.095
B ) 47.752
C ) 47.932
D ) 547.9 ✅