Maharashtra AAC Common Entrance Test
Dear student !
Hope you are preparing well for the exam ! In the mht cet exam there are physics , chemistry, mathematics and biology . Class 12th and class 11th topics will be asked in the examination and 20% weightage is given to the Class 11th syllabus and 80%
With a MHT CET score of 150, you may have a chance to get into various colleges in Maharashtra, especially government colleges and some private institutions. However, top-tier colleges like COEP Pune, VJTI Mumbai, and MIT Pune might be challenging unless you belong to a reserved category or meet additional
Question : The value of $\frac{3\left(\operatorname{cosec}^2 26^{\circ}-\tan ^2 64^{\circ}\right)+\left(\cot ^2 42^{\circ}-\sec ^2 48^{\circ}\right)}{\cot \left(22^{\circ}-\theta\right)-\operatorname{cosec}^2\left(62^{\circ}+\theta\right)-\tan \left(\theta+68^{\circ}\right)+\tan ^2\left(28^{\circ}-\theta\right)}$ is:
Option 1: 3
Option 2: 4
Option 3: –1
Option 4: –2
Correct Answer: –2
Solution : $\frac{3\left(\operatorname{cosec}^2 26^{\circ}-\tan ^2 64^{\circ}\right)+\left(\cot ^2 42^{\circ}-\sec ^2 48^{\circ}\right)}{\cot \left(22^{\circ}-\theta\right)-\operatorname{cosec}^2\left(62^{\circ}+\theta\right)-\tan \left(\theta+68^{\circ}\right)+\tan ^2\left(28^{\circ}-\theta\right)}$ $= \frac{3\left(\operatorname{sec}^2 64^{\circ}-\tan ^2 64^{\circ}\right)+\left(\cot ^2 42^{\circ}-\operatorname{cosec} ^2 42^{\circ}\right)}{\tan \left(68^{\circ}+\theta\right)-\operatorname{cosec}^2\left(62^{\circ}+\theta\right)-\tan \left(\theta+68^{\circ}\right)+\cot ^2\left(62^{\circ}+\theta\right)}$ $= \frac{3\left(1\right)+\left(\cot ^2 42^{\circ}-1-\cot ^2 42^{\circ}\right)}{-(\operatorname{cosec}^2\left(62^{\circ}+\theta\right)-\cot ^2\left(62^{\circ}+\theta\right))}$ $= \frac{3-1}{-1}$ $= -2$ Hence, the correct answer is –2.
Question : Directions: Select the letter-cluster from among the given options that can replace the question mark (?) in the following series. AEI, EIO, IOU, ?
Option 1: UAE
Option 2: AEI
Option 3: OUA
Option 4: All
Correct Answer: OUA
Solution : Given: AEI, EIO, IOU, ?
Vowels are replaced with immediate next vowels according to the English alphabetical series and the order is – A, E, I, O, U AEI → The immediate next vowel of A is E, the Immediate next vowel of E is
Question : Case Study 72
OPQ Corporation is a conglomerate planning to trade its shares on a stock exchange. The company's management is reviewing the roles of stockbrokers.
Question :
What type of broker offers advice to clients and executes orders on their behalf?
Option 1: Full-service broker
Option 2: Discount broker
Option 3: Floor broker
Option 4: Specialist broker
Correct Answer: Full-service broker
Solution : The correct answer is (a) Full-service broker
A full-service broker is a type of broker that offers a wide range of services to clients, including investment advice, research, financial planning, and execution of orders on behalf of their clients. They provide personalized assistance and
Question : Three metallic spheres of radii 10 cm, 8 cm, and 6 cm, respectively are melted to form a single solid cone of radius 12 cm. Find the curved surface area of the cone, correct to two places of decimal. (Take $\pi=3.14$)
Option 1: $1664.50 \text{ cm}^2$
Option 2: $1669.86 \text{ cm}^2$
Option 3: $1876.79 \text{ cm}^2$
Option 4: $1864.41 \text{ cm}^2$
Correct Answer: $1864.41 \text{ cm}^2$
Solution : The volume of a sphere, where $r$ is the radius. $V = \frac{4}{3}\pi r^3$ The volume of a cone, where $r$ is the radius and $h$ is the height. $V = \frac{1}{3}\pi r^2 h$ The volume of the three spheres is equal to
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