Question

Hi There!
I hope you answer to my question and please do not answer meaningless...

1. A train covers 330.25 km in 2.5hr.s. What is the distance covered by it in 1hr.? Also find the distance it can cover in 5 hours?

2. A rectangular sheet of paper is 12 1/2cm. long( it is a mixed fraction) and 10 2/3 cm. wide. Find it's perimeter.

3. The reciprocal of 5/8*3/7.
4. Simplify and reduce to lowest terms
a. 4/5*7/12. b. 3 1/7 /1 2/3.

5. The picture above.

Answer 1

Hi there!
Here's the answer:

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(1)
Given,
Distance covered by train in 2.5 Hrs
= 330.25 km
Distance covered by the train in 1 Hr
= (330.25/2.5) km = 132.1 km

Distance covered by the train in 5 Hr
= 5 × (Distance Covered by it in 1 Hr)
= 5 × 132.1 km
= 660.5 km

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(2)
Given,
Length of Rectangular Sheet = 12 1/2 cm
= 25/2 = 12.5 cm

& Breadth of Rectangular Sheet = 10 2/3 cm
= 32/3 = 10.67 cm (approx.)

Perimeter of Rectangle = 2(length+breadth)
= 2(12.5+10.67)
= 2× 23.17 cm
= 46.34 cm

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(3)
(5÷8) × (3÷7)
= (5×3) ÷ (8×7)
= 15 ÷ 56
= 15/56

Its reciprocal = 56/15

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(4)
(a) (4÷5) × (7÷12)
= (4×7) ÷ (5×12)
= 28 ÷ 60

Reducing to lowest terms
=> Multiplying both Numerator and Denominator with their HCF

HCF (28,60) = 4

•°• (28/60) × (4/4) = [28÷4] / [60÷4]
= 7/15

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(b) [3 1/7] ÷ [1 2/3]

[3 1/7] = (22/7)
& [1 2/3] = (5/3)

=> (22/7) ÷ (5/3)
=> (22/7) × (3/5)
=> (22×3) / (7×5)
=> 66/35

Here HCF(66,35) = 1
=> Its already in lowest terms.

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(5).

Total Questions = 20
For correct answer = +6 marks
For incorrect answer = - 2 marks
For Unattempted question = 0 marks
score = (6 × No. of correct Answers ) - (2 × No. of Incorrect Answer)

(a)
Given,
Meenu gets 9 correct & 11 incorrect answer

Her score = (6 × No. of correct Answers ) - (2 × No. of Incorrect Answer)
= (6×9) - (2×11)
= 54 - 22
= 32

•°• Meenu's score = 32 Marks

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(b)
Given,
Rohit score = 36 Marks
Correctly answered = 8
Incorrectly answered = x(say)

Score = (6 × No. of correct Answers ) - (2 × No. of Incorrect Answer)
36 = (6 × 8) - (2×x)
=> 48 -2x = 36
=> 2x = 48 - 36
=> 2x = 12
=> x = 6

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:)

Hope it helps