Quantitative_Aptitude_mock_13 - Quiz

Q1 / 25 2.00 marks

If 9A + B = 16(4A - 10B), then find A : B.

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Q2 / 25 2.00 marks

A Solution contains 75% Milk and rest water. Part of solution to be removed & replaced by same amount of water to make the ratio of milk to water 3 : 4 is:

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Q3 / 25 2.00 marks

Three hemispheres of radius 14 cm are cut out from a sphere of radius 21 cm. Find the volume of remaining sphere.

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Q4 / 25 2.00 marks

In a triangle, right angled at B, AB = 15 cm, BC = 20 cm, CA = 25 cm. find the value of (i) cos A + cot A (ii) sin A * tan A respectively.

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Q5 / 25 2.00 marks

A and B together can complete a work in 5 days, B and C together can complete it in 10 days and C and A together can complete it in 20 days. Find the time taken by B alone to complete the work.

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Q6 / 25 2.00 marks

If 3a + b + 7c = 0, then what is the value of 27a 3 + b 3 + 343c 3 ?

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Q7 / 25 2.00 marks

Person A started a business by investing Rs.20000. After 14 months, B joined A by investing Rs.18000. After 4 months from B, C joined them by investing Rs.30000. At the end of 2 years, the total profit is Rs.43400. The total profit share of B and C is:

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Q8 / 25 2.00 marks

Simplify: [ 2 _________ 5 + 455 ÷ 13 ÷ ( 33 _________ 8 - 7 _________ 2 )] * 15 _________ 2

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Q9 / 25 2.00 marks

If x 10 + y 10 = x 5 y 5 , then find the value of x 15 + y 15 .

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Q10 / 25 2.00 marks

If the distance between two points A(6, a) and B(9, b) is 3√10 unit, then the value of (a - b) is-

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Q11 / 25 2.00 marks

If the three-digit number B9A is a perfect square, find, A - B.

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Q12 / 25 2.00 marks

The centroid of an equilateral triangle MNO is P such that MR is the median. If MN = 12 cm, then find the length of PR.

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Q13 / 25 2.00 marks

If a certain sum of money at simple interest amounts to Rs.3780 in 2.5 years and to Rs.4050 in 5.5 years, then what is the principal?

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Q14 / 25 2.00 marks

An extendable ladder in its non-extended form just reaches half of the height of a wall and it makes an angle 30° with the ground. When it is fully extended, it just reaches the top of the wall from the same point on the ground. What is the ratio of the extended length of the ladder to its non extended length?

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Q15 / 25 2.00 marks

If a + b = 2√3 and ab = 4, then find the value of a 2 + b 2 .

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Q16 / 25 2.00 marks

Cost price of an article is Rs. 2000. Shopkeeper marked the price at 40% above the cost price and allows a discount of 10% on marked price. If he sells the article for Rs. 2268 after allowing another discount of Y%. Find the value of Y.

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Q17 / 25 2.00 marks

A crow drops a pebble into the bucket of radius 7cm, due to which the level of the water increases by 0.5cm. What is the volume of water in the bucket, if minimum 20 pebbles of the same weight are required to overflow the bucket and the height of the bucket is 21cm?

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Q18 / 25 2.00 marks

Let the HCF of X and Y be 'M' and let Y = MN. LCM of X and Y is given by:

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Q19 / 25 2.00 marks

A person bought X dozens of banana at total Rs. 3024 and sold each banana at Rs. 12. If the amount of profit received by him is Rs. 1008. Find the value of X.

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Q20 / 25 2.00 marks

Find the Y-intercept of the line 47x - 19y + 95 = 0.

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Q21 / 25 2.00 marks

Time taken by a boat to travel 135 km upstream is 9 hours. If the speed of the stream is 2 km/h then find the time taken by a boat to travel 152 km downstream (in hours).

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Q22 / 25 2.00 marks

The average weight of 30 women is 56 kg. When one man joins them, the average increases by 1.2 kg. What is the man's weight?

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Q23 / 25 2.00 marks

What is the area of circle? I. An arc of length 6 cm subtends an angle 40 degree at the center. II. A chord of length 9 cm subtends an angle 90 degree at the center.

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Q24 / 25 2.00 marks

A metallic cuboidal block of dimensions 88 cm * 84 cm * 42 cm is melted to form a sphere. What is the surface area of the sphere formed?

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Q25 / 25 2.00 marks

'B' can walk a certain distance and reach in 1 2 ⁄ 3 hrs while 'A' takes 28 minutes lesser than 'B' to cover the same distance. What is the ratio of the speeds of 'A' and 'B' respectively?

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