List of top Questions asked in CUET (UG)

If \(y= log(sec\ e^{x^2})\), then \(\frac {dy}{dx}\) =?

Which of the following statements are correct?
A. If discount rate > coupon rate, then present value of a bond > face value
B. An annuity in which the periodic payment begins on a fixed date and continues forever is called perpetuity
C. The issuer of bond pays interest at fixed interval at fixed rate of interest to investor is called coupon payment
D. A sinking fund is a fixed payment made by a borrower to a lender at a specific date every month to clear off the loan
E. The issues of bond repays the principle i.e. face value of the bond to the investor at a later date termed as maturity date
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If y = a + b(x − 2005) fits the time series data:

x(year):	2003	2004	2005	2006	2007
y (yield in tons):	6	13	17	20	24

Then the value of a + b is :

Hari covers 100m distance in 36 seconds. Ram covers the same distance in 45 seconds. In a 100m race, Hari ahead from Ram is

Given that \(∑p_0q_0\) = 700, \(∑p_0q_1\) = 1450, \(∑p_1q_0\) = 855 and \(∑p_1q_1\) = 1300. Where subscripts 0 and 1 are used for the base year and a current year respectively. The Laspeyer's price index number is:

A cable network provider in a small town has 500 subscriber and he used to collect Rs. 300 per month from each subscriber. He proposes o increase the monthly charges and it is believed from the past experience that for every increase of Rs. 1, one subscriber will discontinue the service.
Based on the above information answer the following question:
What is the increase in the changes per subscriber that yields maximum revenue?

The solution of the differential equation \(xdy — ydx = 0\) represent family of

The function \(f(x) = x^2 - 2x\) is strictly decreasing in the interval.

A mixture contains milk and water in the ratio 8 ∶ x. If 3 liters of water is added in 33 liters of mixture, the ratio of milk and water becomes 2 ∶ 1, then value of x is:

A motorboat can travel in still water at the speed 15 km/h, while the speed of the current is 3 km/h. Time taken by boat to go 36 km upstream is:

The structure of the product of the following reaction is:

Among the following, which one is a disaccharide?

Which simple chemical test is used to distinguish between ethanal & propanal?

Match List I with List II
List I (Nomenclature) List II (Structure)
1. Acetophenone          
2. Benzaldehyde          
3. Benzonic acid          
4. Benzophenone        

Rate constant "k" for a certain reaction is k = \(2.3 \times 10^{-5}\) \(L\) \(mol^{-1}\) \(s^{-1}\). Order of the reaction is:

Arrange the following compounds in increasing order of their acid strength: 
A. \(Propan- 1- ol\)
B. \(3- nitrophenol\)
C. \(3, 5- dinitrophenol\)
D. \(Phenol\)
E. \(4 - Methylphenol\)
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Among the following polymers, which one is the copolymer?

Consider the 1M aqueous solution of the following compounds and arrange than in the increasing order of elevation in the boiling points. 
A. $C_6H_{12}O_6$ 
B. $NaCl $
C. $MgCl_2 $
D. $AlCl_3$ 
E. $Al_2(SO_4)_3 $
Choose the correct answer from the options given below: