Quantitative_Aptitude_mock_18 - Quiz

Q1 / 25 2.00 marks

From a wooden solid cylinder of base radius 7 cm and height 14 cm, a cone is cut. The height and base radius of cone are half of height and half of base radius of cylinder respectively. Find the percentage of wood wasted in the process. (upto two decimal)

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Q2 / 25 2.00 marks

Ratio of the present ages of Garima and Suman is 5:4 respectively. After five years, ratio of their ages will be 6:5 respectively. Danav is 8 years younger to Garima. Age of Danav is what percent of the age of Suman?

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Q3 / 25 2.00 marks

If in a triangle ABC, Sin A _________ a = Sin B _________ b = Sin C _________ c = 1 _________ 10 , then what is the radius of circle circumscribing the triangle ABC?

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Q4 / 25 2.00 marks

A train of length 280 m crosses a platform in 1 minute 20 seconds. If it crosses a boy standing on the platform in 35 seconds, then find the length of the platform.

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Q5 / 25 2.00 marks

Three jars of equal capacity are containing a mixture of liquid A and liquid B in the ratio of 1: 4, 5: 2, and 3: 1 respectively. These three jars are emptied into a fourth jar. What is the percentage of liquid A in fourth jar? (Correct up to one decimal place)

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Q6 / 25 2.00 marks

Simplify: 144 ÷ 12 + 15 X 2 - 8

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Q7 / 25 2.00 marks

In ∆PQR, if RM and QN are perpendiculars on side PQ and PR at M and N, respectively such that they intersect at point B, bisectors of ∠BQR and ∠BRQ intersect at A and ∠QAR = 164°, then ∠QPR is equal to:

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Q8 / 25 2.00 marks

Muskan and Nitu started a clothing business. Investment of Muskan was (12/11) th of the investment of Nitu and share of profit of Nitu was 25% of the share of profit of Muskan. If Muskan invested for 22 months, then for how much time period Nitu invested the money?

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Q9 / 25 2.00 marks

The graph of two linear equations 3x + 5y = 7 and 9x + 15y = 21 will be -

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Q10 / 25 2.00 marks

If 7cos x - sec x = 4√3 . cos x, then find the value of (cos 2 x - 7).

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Q11 / 25 2.00 marks

Three numbers are in the ratio of 7:5:4. If the LCM of these numbers is 2100, then find the HCF of the numbers.

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Q12 / 25 2.00 marks

The average weight of A and B is 78 and the average weight of A and C is 64. If the weight of A is 24 kg more than the weight of C, then what will be the weight of B?

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Q13 / 25 2.00 marks

The sides of a triangle are 15 cm, 112 cm, and 113 cm. Find the radius of circle that inscribed in it.

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Q14 / 25 2.00 marks

Three times the length of the diameter of a circle is 36 m less than its circumference. Find the radius of the circle.

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Q15 / 25 2.00 marks

Find the value of 60 ÷ 15 X [243 of 3 ÷ (18 X 1.5)]

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Q16 / 25 2.00 marks

If 40 people can make 60 toys in 8 hrs, and 8 people leave the work, then how many toys can be made in 12 hrs?

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Q17 / 25 2.00 marks

A solid iron sphere of diameter 12cm is melted to form 3 small spheres whose diameters are in the ratio 3:4:5. Find the volume of the smallest sphere.

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Q18 / 25 2.00 marks

A number X is such that it is the product of three consecutive positive integers and M = N + X, where N is an odd number, then which of the following option will be true for the value of M?

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Q19 / 25 2.00 marks

If M ∶ N = 21 ∶ 16 and N ∶ O = 16 ∶ 12, then (M + 2N) ∶ (N + 2O) ∶ (O + 2M) is:

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Q20 / 25 2.00 marks

In an examination it is required to get 88% of the aggregate marks to pass the exam. If a student gets 472 marks and fails by 29%, then find the maximum aggregate marks.

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Q21 / 25 2.00 marks

Arjun purchased 'n' number of notebooks of one type at the rate of 14 per 5 rupees and the same number of notebooks of another type at the rate of 20 per 10 rupees. He mixed both types of notebooks and sold all of them at the rate of 15 per 30 rupees. If he has a total profit of Rs.110, then find the value of n.

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Q22 / 25 2.00 marks

The ratio of efficiencies of two friends is 2: 5. Working together, they can complete a work in 20 days. In how many days will the less efficient among the two be able to complete the 2/5 th of the quantity of work?

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Q23 / 25 2.00 marks

A man gave Rs.6000 to a friend at the rate of 12% simple interest for 4 years and take Rs.8000 from a friend at the rate of 5% compound interest for 3 years. Find his gain or loss.

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Q24 / 25 2.00 marks

Two circles of same radius R cm, intersect each other at X and Y. If XY = 20 cm and distance between their centres is 4√11 cm, then find the value of R.

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Q25 / 25 2.00 marks

Simplify: (√2 + √3 + √5)(√2 + √3 − √5)

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