Maharashtra AAC Common Entrance Test
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
Question : Direction: Some equation have been solved on the basis of certain system. Find out the correct answer for the unsolved equation on that basis.
9 x 7 x 4 = 794
3 x 4 x 6 = 436
4 x 2 x 7 = ?
Option 1: 742
Option 2: 247
Option 3: 724
Option 4: 472
Correct Answer: 247
Solution : Here, the given equations follows a pattern in which the first number and the middle number in LHS becomes the tens place digit and the hundreds place digit in the answer part in RHS respectively.
⇒ 9 x 7 x 4 = 794
⇒ 3
Question : Who among the following Mauryan kings turned to Buddhism and its tenet of nonviolence after the Kalinga war?
Option 1: Chandragupta Maurya
Option 2: Bindusara
Option 3: Ashoka
Option 4: Dasharatha
Correct Answer: Ashoka
Solution : The correct answer is Ashoka.
The last significant ruler of India's Mauryan dynasty was Ashoka. Following his victorious conquest of the Kalinga, he turned to Buddhism, gave up violent conquest and embraced a strategy he called "conquer by dharma," realising the carnage of the
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Question : In the following sentence, four words are underlined, out of which one word is incorrectly spelt. Identify the INCORRECTLY spelt word. The ruins of many structures that still stand tall in their granduer are testimony to the fact that Mewar was not only the land of the courageous.
Option 1: testimony
Option 2: courageous
Option 3: granduer
Option 4: ruins
Correct Answer: granduer
Solution : The third option is correct.
Explanation: The incorrectly spelled word in the sentence is granduer, as the place of the vowel "u" and "e" should be interchanged. Hence, the correct spelling is grandeur. The word in question is intended to be grandeur, which
Question : Directions: Select the option figure in which the given figure is embedded (Rotation is NOT allowed).
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of all the option figures, the given question figure is embedded only in the fourth option figure.
Hence, the fourth option is correct.
Question : Which of the following is not a reason for excessive cold in North India?
Option 1: Distance from sea
Option 2: Cold winds from the Caspian Sea
Option 3: Snowfall in the Himalayas
Option 4: Equatorial current
Correct Answer: Equatorial current
Solution : The correct answer is Equatorial current.
There are a few reasons for the excessive cold during the winter season in North India, which are: North India is away from the influence of the sea. The cold beans, which are coming from the Caspian Sea,
Question : Directions: Find out the correct alternative that when filled in the blanks in the same sequence will make the series logically complete. G_MA_VOYKTQ_MR_UO_US
Option 1: XGVSP
Option 2: XIWSP
Option 3: XOWSO
Option 4: XGWTQ
Correct Answer: XIWSP
Solution : Given: G_MA_VOYKTQ_MR_UO_US
To fill the series we have to divide the series – G_MA / _VOY / KTQ_ / MR_U / O_US
Let's check each option – First option: XGVSP; GXMA / GVOY / KTQV / MRSU / O
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