Quantitative_Aptitude_mock_11 - Quiz

Q1 / 25 2.00 marks

In ∆ADC, the bisector of the internal ∠D and external ∠C meets at B. If ∠DBC = 15° then ∠A is:

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Q2 / 25 2.00 marks

The value of a machine is Rs. 19,200. It decreases by 10% during first year, 12.5% during the second year and 15% during the third year. What will be the value of the machine after 3 years?

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Q3 / 25 2.00 marks

The statistical terms Mean, Median and Mode are known as:

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Q4 / 25 2.00 marks

Find the value of \sqrt15.21/\sqrt0.1521+\sqrt0.0256/\sqrt0.4096+\sqrt0.36/\sqrt2.25 .

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Q5 / 25 2.00 marks

A circular decorative wall clock has a radius of 21 cm. A chord joins two points on the circumference such that the chord and the two radii form an equilateral triangle at the center of the clock. The smaller segment formed by this chord is painted in a different color. What percentage of the total area of the clock is painted? (Use π = 3.14 and √3 = 1.732)

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Q6 / 25 2.00 marks

Atul is able to complete a task in 25 days, while Vipul takes 20 days to complete the same task. If they collaborate and work together for 8 days, what fraction of the work will still remain?

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Q7 / 25 2.00 marks

Sagar started a business by investing Rs. 48000. After 4 months, Saurabh joined with Rs. 72000. After 8 months from the start, Shankar joined with Rs. 96000. If the total profit is Rs. 2,08,000 at the end of the year, find the share of Sagar.

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Q8 / 25 2.00 marks

If sec (90°-3θ\over2) = \sqrt2 , where 0° < θ < 90°, then, the value of 2sinθ + 4cos2θ will be:

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Q9 / 25 2.00 marks

A person lends 25% of his sum of money at 10% per annum, 50% of the rest at 40% per annum and remaining at 20% per annum rate of interest. Find the annual rate of interest, if the interest is calculated on the whole sum?

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Q10 / 25 2.00 marks

A pyramid has base of square of length 12 cm. The slant height is 10.4 cm. Find the lateral surface area of the pyramid.

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Q11 / 25 2.00 marks

Three friends P, Q, and R are running on a circular track of circumference 1.8 km. They all start from the same point at 7:00 a.m. and run in the same direction with speeds 9 km/h, 12 km/h, and 18 km/h, respectively. How many times will all three meet at the starting point together if they continue running till 11:00 a.m., (excluding the starting point)?

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Q12 / 25 2.00 marks

The measures of the three angles of a triangle are in the ratio 9:5:22. Which type of this triangle is?

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Q13 / 25 2.00 marks

A customer bought 6 kg of premium tea and some quantity of ordinary tea. The price of premium tea per kg was four times the price of ordinary tea. Due to a billing mistake, the quantities of premium and ordinary tea were interchanged, which caused the total bill to increase by 50%. Find the ratio of the original quantity of premium tea to the original quantity of ordinary tea.

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Q14 / 25 2.00 marks

If x – y = 13 and xy = 19, then the value of x 2 - y 2 is:

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Q15 / 25 2.00 marks

A bag contains 7 red and 4 green balls. Three balls are drawn at random, find the probability that none of them is red.

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Q16 / 25 2.00 marks

A hemispherical bowl of radius 24cm is full of liquid. This liquid is to be filled in cylindrical bottles of radius 6cm and height 8cm. Find the number of such containers?

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Q17 / 25 2.00 marks

Two individuals P and Q take a pasture on rent. P grazes 16 horses for 5 months. Q grazes 30 cows for 4 months and 24 sheep for 6 months. However, the following information has been given: 2 horses are equivalent to 4 cows, 3 cows are equivalent to 6 sheep. Find what fraction of the total rent should P pay?

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Q18 / 25 2.00 marks

The shadow of a vertical tower is √3 times of its height. Find the angle of elevation of the sun.

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Q19 / 25 2.00 marks

D and E are two points of a triangle on the side AB and AC in a triangle ABC such that DE∥BC. If AD=(x+1), AE=(x−1), DB=(2x+8) and EC=(2x+2), BC=20.8, find DE?

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Q20 / 25 2.00 marks

A trader has a faulty balance that weighs 20% less than what it should weigh. Further he marks up the price of the goods by 20% and he offers 10% discount on marked price. What is his profit percentage?

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Q21 / 25 2.00 marks

Find the area of the triangle formed by straight lines 2x+3y=6, x+2y=4 with the x-axis? (in sq. unit)

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Q22 / 25 2.00 marks

The value of 15-[12+3(12-4×4+5)-5]÷5 \over4 × 4 ÷ 4 of (4+4÷4-4) of is:

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Q23 / 25 2.00 marks

If a:b = 2:3, b:c = 5:7 and c:d = 8:9 then, find the value of d:c:b:a.

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Q24 / 25 2.00 marks

If the six-digit number 3x5y4z is exactly divisible by 7, 11 and 13, then (y+z)÷ x is equal to:

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Q25 / 25 2.00 marks

The average height of 5 boys is 175 cm. A sixth boy joined the group and the average height of all the boys in the group now increased by one centimetre. The height of the sixth boy is:

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