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- Question
- A boy on being asked 13/14 of a certain fraction had made the mistake of dividing the fraction by 14/13 and so got an answer that exceeded the correct answer by 3/65. The correct fraction is?
Options- A. 14/45
- B. 12/65
- C. 13/45
- D. 2/7
- Correct Answer
- 13/45
ExplanationLet the fraction be N.
Then, N / (13/14) - (13/14) x N = 3/65
? 14N/13 - 13N/14 = 3/65
? (196N - 169N)/182 = 3/65
? 27N/182 = 3/65
? N = (3 x 182) / (27 x 65) = 14/45
So, correct answer will be (13/14) x (14/45) = 13/45 - 1. In ? ABC ,sides BC = 10 cm and height AD = 4.4 cm. If AC = 11 cm. Then altitude BE equals?
Options- A. 5 cm
- B. 4 cm
- C. 5.6 cm
- D. 5.5 cm Discuss
- 2. A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone. The volume of the cone so formed is:
Options- A. 12 pi cub.cm
- B. 15 pi cub.cm
- C. 16 pi cub.cm
- D. 20 pi cub.cm Discuss
- 3. The radius of a cylindrical milk container is half its height and surface area of the inner part is 616 sq.cm. The amount of milk that the container can hold, approximately, is [ Use : ?5 = 2.23 and ? = 22/7 ]
Options- A. 1.42 litres
- B. 1.53 litres
- C. 1.71 litres
- D. 1.82 litres Discuss
- 4. A solid brass sphere of radius 2.1 dm is converted into a right circular cylindrical rod of length 7cm. The ratio of total surface areas of the rod to the sphere is
Options- A. 3:1
- B. 1:3
- C. 7:3
- D. 3:7 Discuss
- 5. ABCD is a cyclic quadrilateral of which AB is the diameter. Diagonals AC and BD intersect at E. If ?DBC = 35°, Then ?AED measures
Options- A. 35°
- B. 45°
- C. 55°
- D. 90° Discuss
- 6. In a triangle ABC, ?A = 70°, ?B = 80° and D is the incentre of ?ABC. ?ACB = 2x° and ?BDC = y°. The values of x and y, respectively are
Options- A. 15, 130
- B. 15, 125
- C. 35, 40
- D. 30, 150 Discuss
- 7. In a right angled triangle ?DEF, if the length of the hypotenuse EF is 12 cm, then the length of the median DX is
Options- A. 3 cm
- B. 4 cm
- C. 6 cm
- D. 12 cm Discuss
- 8. PQ and RS are common tangents to two circles intersecting at A and B. AB, when produced both sides, meet the tangents PQ and RS at X and Y, respectively. If AB = 3 cm, XY = 5 cm, then PQ (in cm) will be
Options- A. 3 cm
- B. 4 cm
- C. 5 cm
- D. 2 cm Discuss
- 9. ABCD is a trapezium in which AB is parallel to CD and AB = 4(CD). The diagonals of the trapezium intersects at O. What is the ratio of area of triangle DCO to the area of the triangle ABO?
Options- A. 1 : 4
- B. 1 : 2
- C. 1 : 8
- D. 1 : 16 Discuss
- 10. In the given figure, ?QRU = 72°, ?TRS = 15°, ?PSR = 95° , then what is the value (in deg) of ? PQR?
Options- A. 85
- B. 95
- C. 75
- D. 90 Discuss
More questions
Correct Answer: 4 cm
Explanation:
We know that area of triangle = ( base x height ) / 2
So area of triangle = (BC x AD) / 2 = (AC x BE) / 2
? (10 x 4.4) / 2 = (11 x h) / 2
? h= (10 x 4.4)/11 = 4 cm
Correct Answer: 12 pi cub.cm
Correct Answer: 1.53 litres
Correct Answer: 7:3
Correct Answer: 55°
Correct Answer: 15, 125
Correct Answer: 6 cm
Correct Answer: 4 cm
Correct Answer: 1 : 16
Correct Answer: 95
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