Srishti Manipal Entrance and Aptitude Test
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Question : Directions: Rohan walks a distance of 3 km towards the north, then turns to his left and walks for 2 km. He again turns left and walks for 3 km. At this point, he turns to his left and walks for 3 km. How far is he from the starting point?
Option 1: 5 km
Option 2: 3 km
Option 3: 2 km
Option 4: 1 km
Correct Answer: 1 km
Solution : Firstly, we will draw the diagram as per the given instructions – Now, we have to find the distance between starting and endpoints.
In the above figure, O is the starting point and D is the finishing point. So, OD is the distance from
Question : If $(\cos q+\sin q)=\frac{31}{25}$, then what will be the value of $\cos^2 q$?
Option 1: $\frac{522}{625}$
Option 2: $\frac{512}{625}$
Option 3: $\frac{513}{625}$
Option 4: $\frac{576}{625}$
Correct Answer: $\frac{576}{625}$
Solution : \(\cos q + \sin q = \frac{31}{25}\) ____(i) Squaring both sides, we get, $⇒(\cos q + \sin q)^2 = \left(\frac{31}{25}\right)^2$ $⇒\cos^2 q + \sin^2 q + 2\cos q \sin q = \left(\frac{31}{25}\right)^2$ $⇒1 + 2\cos q \sin q = \left(\frac{31}{25}\right)^2$ $⇒2\cos q \sin q =
Question : Comprehension:
Read the following passage and answer the questions.
Soapy moved restlessly on his seat in Madison Square. There are certain signs to show that winter is coming. Birds begin to fly south. People buy new warm coats. Soapy felt restless in the park. When you see these signs, you know winter is near. A dead leaf fell at Soapy’s feet. That was a special sign for him that winter was almost there. It was time for all who lived in Madison Square to prepare. Soapy had to find some way to take care of himself during the cold weather. His hopes for the winter were not very high. He was not thinking of sailing away on a ship. He was not thinking of the warm southern skies. Three months in the prison on Blackwell Island was what he wanted. Three months of food every day and a bed every night, three months safe from the cold north wind and safe from cops. This is what Soapy wanted most in the world.
For years, Blackwell Island had been his winter home. Richer New Yorkers made their plans to go to Florida or to the shore of the Mediterranean Sea each winter. Soapy made his small plans for going to the island. Although there were places in the city where he could go and ask for food and a bed and he could move from one building to another, he preferred Blackwell Island. Soapy’s spirit was proud. If he went to any of these places, there were certain things he had to do. In one way or the other, he would have to pay for what they gave him. They would not ask him for money but they would make him wash himself well and answer questions. They would want to know everything about his life. In prison, a gentleman’s life was still his own life.
Question: What did Soapy want most in life?
Option 1: A proud spirit
Option 2: A gentleman’s life
Option 3: A trip to Florida
Option 4: Food and shelter in winter
Correct Answer: Food and shelter in winter
Solution : The fourth option is the correct choice.
As stated in the last lines of the first paragraph, Soapy wanted food every day and a bed every night.
Question : ____________% can be taken as the average value for the amount of organic matter that is present at each step of the food chain and reaches the next level of consumers.
Option 1: 5
Option 2: 20
Option 3: 10
Option 4: 2
Correct Answer: 10
Solution : The correct answer is 10.
10% can be taken as the average value for the amount of organic matter that is present at each step of the food chain and reaches the next level of consumers. Generally, it is considered that an average of
Question : Identify an example of diploblastic animals.
Option 1: Platyhelminthes
Option 2: Arachnids
Option 3: Chordates
Option 4: Coelenterates
Correct Answer: Coelenterates
Solution : The correct answer is Coelenterates.
An example of a diploblastic animal is a coelenterate. Coelenterates are a group of simple aquatic animals that include organisms like jellyfish, corals, and sea anemones. They are characterised by having two primary germ layers, the ectoderm and the
Question : The branch of geology in which dinosaurs are studied is an example of a _____________ branch.
Option 1: Paleontology
Option 2: Histology
Option 3: Petrology
Option 4: Sophrology
Correct Answer: Paleontology
Solution : The correct answer is Paleontology.
Studying the fossils of plants and animals is the focus of the scientific field of paleontology. Paleontologists examine a wide variety of fossils to gain a better understanding of the history of life on the Earth, as well as
Question : K1 can do a piece of work alone in 4 days, K2 can do the same work alone in 8 days, while K3 can do it alone in 32 days. They work together to complete the work and receive a total of Rs. 3,900 as payment for doing the work. What is the share of the person who received the maximum amount?
Option 1: Rs. 1,200
Option 2: Rs. 2,400
Option 3: Rs. 2,000
Option 4: Rs. 1,600
Correct Answer: Rs. 2,400
Solution : Let the rates at which K1, K2, and K3 work as R1, R2, and R3 respectively. K1 can do the work alone in 4 days, R1 = $\frac{1}{4}$ K2 can do the work alone in 8 days, R2 = $\frac{1}{8}$ K3 can do the
Question : Directions: If I denotes ÷, J denotes ×, K denotes − and L denotes +, then what will come in place of (?) in the following equation? (35 I 5) J 9 K 23 L 39 K (3 J 8) = ?
Option 1: 60
Option 2: 59
Option 3: 51
Option 4: 55
Correct Answer: 55
Solution : Given: I denotes ÷, J denotes ×, K denotes −, and L denotes + (35 I 5) J 9 K 23 L 39 K (3 J 8) = ?
After replacing the letters with the mathematical signs, we get: = (35 ÷ 5) × 9
Question : A, B, and C can do a job working alone in 50, 75 and 20 days, respectively. They all work together for 4 days, then C quits. How many days will A and B take to finish the rest of the job?
Option 1: 20
Option 2: 30
Option 3: 18
Option 4: 24
Correct Answer: 20
Solution : Given: A, B, and C can do a job working alone for 50, 75 and 20 days, respectively. Total work = LCM of (50, 75, 20) = 300 units Efficiency of A = $\frac{300}{50}=6$ Efficiency of B = $\frac{300}{75}=4$ Efficiency of C = $\frac{300}{20}=15$ Total
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