SBI Clerk Mains 2020 Important Quantitative Aptitude Questions
SBI Clerk Mains 2020 Important Quantitative Aptitude Questions
If a solid cone of volume 27π cm³ is kept inside a hollow cylinder whose radius and height are that of the cone, then the volume of water needed to fill the empty space is
(a) 3π cm³
(b) 18π cm³
(c) 54π cm³
(d) 81π cm³
Ans.(c)
Sol. Volume of required water = 2 × volume of cone
= 2 × 27π = 54π cm3
The radius of a cylinder is 10 cm and height is 4 cm. The number of centimeters that may be added either to the radius
or to the height to get the same increase in the volume of the cylinder is
(a) 5
(b) 4
(c) 25
(d) 16
. Ans.(a)
Sol. Volume of cylinder = 𝜋(10 + 𝑥)2 × 4
Again height increased by 𝑥 cm
Volume of cylinder = 𝜋 × 102(4 + 𝑥)
⇒ 𝜋 × 102. (4 + 𝑥) = 𝜋(10 + 𝑥)2 × 4
𝑥 = 5 cm
Sita deposited Rs. 5,000 at 10% simple interest for 2 years, How much more money will Sita have in her account at the end of two years, if it is compounded semi-annually.
(a) Rs. 50
(b) Rs. 40
(c) Rs. 77.50
(d) Rs. 85.50
Ans.(c)
A sum of money at compound interest amounts to thrice itself in 3 years. In how many years will it be 9 times itself ?
(a) 9
(b) 27
(c) 6
(d) 3
Ans.(c)
An amount of money at compound interest grows up to Rs. 3,840 in 4 years and up to Rs. 3,936 in 5 years. Find the rate of interest.
(a) 2.5%
(b) 2%
(c) 3.5%
(d) 2.05%
Ans.(a)