1
MHT CET 2023 14th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

Identify the product '$$\mathrm{B}$$' in the following reaction. Toluene $$\xrightarrow[\mathrm{CS}_2]{\text { Chromylchloride }} \mathrm{A} \xrightarrow{\mathrm{H}_3 \mathrm{O}^{+}}\mathrm{B}$$

A
Benzal chloride
B
Benzaldehyde
C
Benzyl alcohol
D
Benzoic acid
2
MHT CET 2023 14th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The negation of the statement

"The number is an odd number if and only if it is divisible by 3."

A
The number is an odd number but not divisible by 3 or the number is divisible by 3 but not odd.
B
The number is not an odd number iff it is not divisible by 3.
C
The number is not an odd number but it is divisible by 3.
D
The number is not an odd number or is not divisible by 3 but the number is divisible by 3 or odd.
3
MHT CET 2023 14th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Two cards are drawn successively with replacement from well shuffled pack of 52 cards, then the probability distribution of number of queens is

A
$$\mathrm{X}=x$$ 0 1 2
$$\mathrm{P[X=}x]$$ $$\frac{144}{169}$$ $$\frac{24}{169}$$ $$\frac{1}{169}$$
B
$$\mathrm{X}=x$$ 0 1 2
$$\mathrm{P[X=}x]$$ $$\frac{1}{169}$$ $$\frac{24}{169}$$ $$\frac{144}{169}$$
C
$$\mathrm{X}=x$$ 0 1 2
$$\mathrm{P[X=}x]$$ $$\frac{24}{169}$$ $$\frac{1}{169}$$ $$\frac{144}{169}$$
D
$$\mathrm{X}=x$$ 0 1 2
$$\mathrm{P[X=}x]$$ $$\frac{1}{169}$$ $$\frac{25}{169}$$ $$\frac{143}{169}$$
4
MHT CET 2023 14th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

For an initial screening of an entrance exam, a candidate is given fifty problems to solve. If the probability that the candidate can solve any problem is $$\frac{4}{5}$$, then the probability, that he is unable to solve less than two problems, is

A
$$\frac{201}{5}\left(\frac{1}{5}\right)^{49}$$
B
$$\frac{316}{25}\left(\frac{4}{5}\right)^{48}$$
C
$$\frac{54}{5}\left(\frac{4}{5}\right)^{49}$$
D
$$\frac{164}{25}\left(\frac{1}{5}\right)^{48}$$
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