Joint Entrance Examination (Main)
Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it. (17, 9, 4) (13, ?, 7) (14, 3, 13)
Option 1: 10
Option 2: 2
Option 3: 12
Option 4: 15
Correct Answer: 10
Solution : Given: (17, 9, 4) (13, ?, 7) (14, 3, 13)
Here, the sum of the numbers in brackets is equal to 30 – Like in, (17, 9, 4)→17 + 9 + 4 = 30 And in, (14, 3, 13)→14 + 3 + 13 = 30
Question : The angle of elevation of the top of a tower from a point on the ground is 30° and moving 70 m towards the tower it becomes 60°. The height of the tower is:
Option 1: $10$ m
Option 2: $\frac{10}{\sqrt{3}}$ m
Option 3: $10\sqrt{3}$ m
Option 4: $35\sqrt{3}$ m
Correct Answer: $35\sqrt{3}$ m
Solution : Let $AB$ be the tower and $C$ and $D$ be the point of observation. $AB = h$ and CD = 70 m In $\triangle ABD$, $\frac{AB}{BD}=\tan$ 60° ⇒ $\frac{AB}{BD}=\sqrt3$ ⇒ $BD = \frac{AB}{\sqrt3}$ ⇒ $BD=\frac{h}{\sqrt3}$ In $\triangle ABC$, $\frac{AB}{BC}= \tan$ 30° ⇒ $\frac{AB}{BC}= \frac{1}{\sqrt3}$
Question : Find the Rate percent per annum, if Rs. 2000 amounts to Rs. 2315.25 in a year and a half, with interest being compounded half-yearly.
Option 1: 11.5%
Option 2: 10%
Option 3: 5%
Option 4: 20%
Correct Answer: 10%
Solution : Amount(A) = Rs. 2315.25 Principal(P) = Rs. 2000 Time = 1.5 years ($n$ = 3) By applying the formula: Amount = P[$(1+\frac{r}{100})^n$] where P is principal, $r$ is the rate of interest per term for $n$ terms. Since CI is compounded half-yearly. Let the rate
Question : The least distance of distinct vision is:
Option 1: 35 cm
Option 2: 25 cm
Option 3: 45 cm
Option 4: 15 cm
Correct Answer: 25 cm
Solution : The correct option is 25 cm.
The closest distance at which an object can be brought into focus while still being regarded as a distinct point is referred to as the near point, or the least distance of distinct vision. The smallest distance at
Question : Statement 1: Informal organizations can undermine formal communication channels.
Statement 2: Informal organizations are formed based on social interactions among employees.
Option 1: Statement 1 is true, and Statement 2 is false.
Option 2: Statement 1 is false, and Statement 2 is true.
Option 3: Both Statement 1 and Statement 2 are true.
Option 4: Both Statement 1 and Statement 2 are false.
Correct Answer: Both Statement 1 and Statement 2 are true.
Solution : The correct answer is (c) Both Statement 1 and Statement 2 are true.
Statement 1 is true. Informal organizations, which arise from social interactions among employees, can sometimes subvert or bypass formal communication channels. Informal communication networks can
Question : Which among the following is a bacterial disease?
Option 1: Rabies
Option 2: Leprosy
Option 3: Malaria
Option 4: Ebola
Correct Answer: Leprosy
Solution : The correct answer is Leprosy.
Leprosy is caused by the bacteria Mycobacterium leprae. It mainly affects the skin, eyes, nose, and peripheral nerves. It is a curable disease. The treatment of this disease is a combination of three drugs: dapsone, rifampicin, and clofazimine.
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Jain University offers the MBA programme through CMS Business School . According to the official website of the university, the institute has a decent placement record. As per the placement data, more than 300 companies participated in the placement process, and the average package for the placed graduates stood at
Question : Working together, A, B, and C can complete a task in 12 days. A and B can do the task in 55 days and 66 days, respectively, if they work alone. In how many days can C do the task if he works alone?
Option 1: 22
Option 2: 44
Option 3: 20
Option 4: 40
Correct Answer: 20
Solution : Let the total work = LCM of (12, 55, and 66) = 660 units Task completed in 1 day by A = $\frac{660}{55}$ = 12 units Task completed in 1 day by B = $\frac{660}{66}$ = 10 units Task completed in 1 day by A,
Question : In addition to the accessibility of raw materials, an industry's location is influenced by the availability of which of the following?
Option 1: Environmental protection and vegetation
Option 2: Manpower and energy sources
Option 3: Transportation and bioenergy
Option 4: Water and inputs
Correct Answer: Manpower and energy sources
Solution : The correct answer is Manpower and energy sources.
Industries also rely on the availability of labour and energy. Manpower and energy sources are required for every industry to function and their availability in various places can have a substantial influence
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