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Mathematics Mcqs

6 – [5/6 + {3 7/8 – 2 1/3 + 1 7/9}] = _____________?

6 – [5/6 + {3 7/8 – 2 1/3 + 1 7/9}] = _____________?

A. 3 9/13
B. 1 9/11
C. 2 11/72
D. None of these
Explanation:
6 – [5/6 + {3 7/8 – 2 1/3} + 1 7/9] => 6 – [5/6 + {3 1/8 – 7/3} + 16/9]
=> 6 – [5/6 + {(279 – 168 + 128)/72}] => 6 – 5/6 + 239/72
=> 6 – (60 + 239)/72 => 6 – 46 – 11/72
=> 2 – 11/72 => 1 + 1 – 11/72 => 1 + 61/72 = 1 61/72

6 – [5/6 + {3 7/8 – 2 1/3 + 1 7/9}] = _____________? Read More »

Mathematics Mcqs, Simplification and Approximation

Positive integers indicated by x and y satisfy 3 1/x * y 2/5 = 13 3/4, the fractions being in their lowest terms, then x = ? and y = ____________?

Positive integers indicated by x and y satisfy 3 1/x * y 2/5 = 13 3/4, the fractions being in their lowest terms, then x = ? and y = ____________?

A. x = 4, y = 8
B. x = 4, y = 4
C. x = 2, y = 4
D. x = 8, y = 4
Explanation:
3 1/x * y 2/5 = 13¾
=> (3x + 1) / x + (5y + 1) / 2 += 55 / 4
only choice (4) i.e x = 8 and y = 4 satisfies the given equation.
3 (1/8) * 4 (2/5) = (25 / 8 ) * (22 / 5) = 55/4 = 13¾

Positive integers indicated by x and y satisfy 3 1/x * y 2/5 = 13 3/4, the fractions being in their lowest terms, then x = ? and y = ____________? Read More »

Mathematics Mcqs, Simplification and Approximation

(830 + ? * 3 * 14 / 100) – (830 * 14 * 3 / 100) = 20.16

(830 + ? * 3 * 14 / 100) – (830 * 14 * 3 / 100) = 20.16

A. 24
B. 36
C. 48
D. None of these
Explanation:
(830 + ? * 3 * 14 / 100) – (830 * 14 * 3 / 100) = 20.16
=> 830 + ? * 42 – 830 * 42 = 2016
=> ? * 42 = 2016 + 830 * 42 – 830
=> ? * 42 = 42 * 48 + 830 * 42 – 830
=> ? = 48 + 830 – (830 / 42)
=> ? = 48 + 830 – 19.76
=> ? = 858.24

(830 + ? * 3 * 14 / 100) – (830 * 14 * 3 / 100) = 20.16 Read More »

Mathematics Mcqs, Simplification and Approximation

The Total cost of flooring a room at Rs.8.50 per square meter is Rs.510. If the length of the room is 8km it’s breadth is__________?

The Total cost of flooring a room at Rs.8.50 per square meter is Rs.510. If the length of the room is 8km it’s breadth is__________?

A. 7.5m
B. 8.5m
C. 10.5m
D. 12.5m

The Total cost of flooring a room at Rs.8.50 per square meter is Rs.510. If the length of the room is 8km it’s breadth is__________? Read More »

Areas, Mathematics Mcqs

The length of a rectangular increased by 10% and it;s breadth is decreased by 10 %. Then the area of the new rectangle is_________?

The length of a rectangular increased by 10% and it;s breadth is decreased by 10 %. Then the area of the new rectangle is_________?

A. Neither increased nor decreased
B. Increased by 1%
C. Decreased by 1%
D. Decreased by 10%

The length of a rectangular increased by 10% and it;s breadth is decreased by 10 %. Then the area of the new rectangle is_________? Read More »

Areas, Mathematics Mcqs

Total area of the 64 small squares of aches board is 400cm2. There is 3cm wide border around the chess board. What is the length of each side of the chess board?

Total area of the 64 small squares of aches board is 400cm2. There is 3cm wide border around the chess board. What is the length of each side of the chess board?

A. 17cm
B. 20cm
C. 23cm
D. 26cm

Total area of the 64 small squares of aches board is 400cm2. There is 3cm wide border around the chess board. What is the length of each side of the chess board? Read More »

Areas, Mathematics Mcqs

A path of uniform width turns the inside of a rectangular field 38m long and 32m wide. IF the path occupies 600 m2 than the width of the path is_______?

A path of uniform width turns the inside of a rectangular field 38m long and 32m wide. IF the path occupies 600 m2 than the width of the path is_______?

A. 3m
B. 5m
C. 8.75m
D. 10m

Explanation:
Area of the field = (38 x 32)m2
Let the width of the path be x metres
Area with out path = (38-2x)(32-2x)m2
= 1216+4×2 -140x
Area of the path = 1216 –(1216 +4×2 -140x)
= 140x -4×2 140x -4×2 = 600
=> 4×2-140x +600 =0
=> x2 -35x +150 =0
=> (x-30)(x-5)=0
=> X =5 m

A path of uniform width turns the inside of a rectangular field 38m long and 32m wide. IF the path occupies 600 m2 than the width of the path is_______? Read More »

Areas, Mathematics Mcqs