List of top Questions asked in BITSAT- 2019

Tangents are drawn from the origin to the curve y=cos x. Their points of contact lie on
The line which is parallel to the X-axis and crosses the curve y=√(x) at an angle 45^∘, is
The mean square deviation of a set of n observations about points -2 and 2 are 18 and 10 respectively. The standard deviation of the set is
The arithmetic mean of the data 0,1,2,…,n with frequencies 1,1,1,…,1 is
The total number of 4-digit numbers in which the digits are in descending order, is
In a △ ABC, the lengths of the two larger sides are 10 and 9 units, respectively. If the angles are in A.P., then the length of the third side can be
Let S be the common focus of the circle x²+y²-2x-4y=0 and the parabola y²=8x. The area of quadrilateral APQS is
Let a, b, c be three vectors satisfying a × b = ( a × c), | a|=| c|=1, | b|=4 and | b × c|=√(15). If a · b = ?, then λ equals
If fraceˣ+e⁵xe³x=a₀+a₁x+a₂x²+a₃x³+⋯ then the value of 2a₁+2³a₃+2⁵a₅+⋯ is
If φ(x) is a differentiable function, then the solution of the differential equation dy+yφ'(x)-φ(x)φ'(x)dx=0 is
A bag contains (2n+1) coins. It is known that n of these coins have a head on both sides, whereas the remaining (n+1) coins are fair. A coin is picked up at random from the bag and tossed. If the probability that the toss results in a head is (31)/(42), then n is equal to
The value of
\( \dfrac{3}{4} + \dfrac{15}{16} + \dfrac{63}{64} + \cdots \)
up to \( n \) terms is
If g is the inverse of function f and f'(x)=sin x, then g'(x) is equal to
The period of tan 3θ is
The average age of 8 men is increased by 2 years when one of them whose age is 20 yr is replaced by a new man. What is the age of the new man?
The root of the equation 2(1+i)x²-4(2-i)x-5-3i=0 which has greater modulus is
If \( \omega \) is the complex cube root of unity, then the value of
\( \omega + \omega \left( \dfrac{1}{2} + \dfrac{3}{8} + \dfrac{9}{32} + \dfrac{27}{128} + \cdots \right) \) is
Evaluate limₓtₒᵢₙftyfracint₀²x x eˣ²dxe⁴x²
In a queue of children, Arun is fifth from the left and Suresh is sixth from the right. When they interchange their places, Arun becomes thirteenth from the left. Then, what will be Suresh's position from the right?
Shikha is mother-in-law of Ekta who is sister-in-law of Ankit. Pankaj is father of Sanjay, the only brother of Ankit. How is Shikha related to Ankit?
Complete the series by replacing ? mark G4T, J9R, M20P, P43N, ?
Neeraj starts walking towards South. After walking 15 m, he turns towards North. After walking 20 m, he turns towards East and walks 10 m. He then turns towards South and walks 5 m. How far is he from his original position and in which direction?
A person who believes that pleasure is the chief good
A : Forecasting the weather has always been a defficult business.
B : During a period of drought, steams and rivers dried up, the cattle died from thirst and were ruined.
C : Many different things affect the weather and we have to study them carefully to make accurate forecast.
D : Ancient egyptians had no need of weather in the Nille valley hardly ever changes.
E : In early times, when there were no instruments, such as their mometer or the barometer, a man looked for tell tale signs in the sky.
A. It is hoping that overseas friends will bring in big money and lift the morale of the people.
B. But a lot needs to be done to kick start industrial revival.
C. People had big hopes from the new government.
D. So far government has only given an incremental push to existing policies and programmes.
E. Government is to go for big time reforms, which it promised.