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Quantitative Ab...

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  • Question 1
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    Eighth term of an AP is zero. What is the ratio of the 38th term and the 18th term of that AP?

  • Question 2
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    Ram painted fours walls of a cubic-hall using Red, Blue and Yellow colour in such a manner that he painted one wall each by Red, Blue, Yellow and Orange color. The orange colour is made by mixing Red and Yellow in a fixed ratio. If Ram had 150 litres of Red, 170 litres of Yellow and 115 litres of Blue paint before painting and He’s left with the same quantity of each type of color after the process then find out the total quantity(in litres) of paint left with him?

  • Question 3
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    A vessel is in the form of a cylinder mounted on a hemisphere. The diameter of the hemisphere is \(18\) cm and the ratio of the height of cylinder and radius of the hemisphere is \(2:1\). Find the volume of the vessel.

  • Question 4
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    A, B and C started working together on a project, but A left the work 9 days before the completion and B left the work 7 days before completion. Had A worked for one more day, the work would have been completed two days before the actual time. Had B worked for two days more, the work would have been completed three days before the actual time. In how many days can A, B and C together do a different work which can be done by C alone in 18 days?

  • Question 5
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    Function \(f(x)\) is defined as \(f(x)=x^{5}-3\). If \(f(a)=0\) then find the value of \((a-1)\left(a^{15}+a^{16}+a^{17}+\ldots+a^{44}\right) ?\)

  • Question 6
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    Two circles with radii r1 and r2are drawn such that a triangle with sides 35 cm, 37 cm and 12 cm is inscribed and circumscribed by the two circles. What is the ratio of the areas of the two circles (assume that the ratio is greater than 1)

  • Question 7
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    Suppose that \(a=\frac{2 b}{3}\) and \(a^{b}=b^{a} .\) The sum of \(a\) and \(b\) can be expressed as a rational number \(\frac{P}{q},\) where \(p\) and \(q\) are co-prime positive integers. Find the value of \(p+q ?\)

  • Question 8
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    A recently conducted study suggests that 6% of mobile users suffer from migraine and 60% of migraine patients are mobile users. If 90% of the population uses mobile phones, what is the percentage of population suffering from migraine?

  • Question 9
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    n the given diagram O is the centre of the circle and angle∠ABO+angle∠ACO = 55°. All the points A, B and C lie on the circumference of the circle. Find the value of angle∠OCB?

  • Question 10
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    Ram drives a car at fixed speed and stops for a five-minute break at the end of every 2 km. Shyam drives a motorcycle at three-fourths the speed of Ram and stops for a five-minute break at the end of every 4 km. If both started at the same time and reach 100 km at the exact same time then find out the time(in minutes) taken by each of them?

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