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Question 1 (ICSE 2018): Solution 1: Step 1: Step 2: Step 3: From Steps 1, 2 and 3 we have: Question 2 (ICSE 2018): Find the value of ‘x’ and ‘y’ if: Solution 2: We obtain two equations one each for x and y: Question 3: Solution 3: Substituting values of trigonometrical functions: Question 4: Solution 4:

In Section B of ICSE 2018 Computer Application paper, a Question of 15 marks was asked. Students were expected to write a Java program to check whether an input number was a Pronic number or not. The actual question appeared in the following form: Section B, Question 5: Write a program to input a number and check and print whether it is a Pronic number or not. (Pronic number is the number which is the product of two consecutive integers) Examples: 12=3×4,  20=4×5,  42=6×7 Before getting into programming, let us first develop our understanding of Pronic numbers. Pronic numbers are also called oblong numbers, heteromecic numbers, or rectangular numbers. Examples of first few pronic numbers are:  0, 2, 6, 12, 20, 30, 42, 56, 72, 90, 110, 132, 156.  Consider number 12 from examples given in the question above. Factors of number 12 are: 1,2,3,4,6,12 (total six numbers). Out of 6 numbers let us pick a  unique pair  of numbers which when multiplied together give 1...

“A Face in the Dark” by Ruskin Bond narrates an incident that revolves around Mr. Oliver, an Anglo-Indian teacher who taught in an English school in Shimla. It describes strange and frightening encounter of Mr. Oliver who spots a faceless boy in the eerie forest in the dark of the night. Panicked, he drops his torch and in the dark starts running and bumps into the night watchman who too is faceless. Extract I “From before Kipling’s time, the school had been run……..the school for several years.” Question (i):   Who was Mr Oliver? What was his usual leisure activity? Answer (i):  Mr Oliver was an Anglo-Indian teacher, who was teaching in a school, located on the outskirts of the hill-station of Simla. He was a bachelor and would usually stroll into the Simla Bazaar town located three miles from the school, and would return after dark by taking a shortcut through the pine forest. Question (ii):   What was called ‘Eton of the East’? Why? Answer (ii):  The all-boys schoo...

A poor woman who was hated during her life by nearly everyone in her village, dies while intoxicated and leaves two daughters and a son behind to fend for themselves. The towns people pitied these children, and the two oldest were taken in by new families, but the youngest Maggie, who was crippled, was left alone because nobody wanted to deal with her disability. A man named Joe Thompson decided to take her in for the night but planned on bringing her to the poor house the next morning, because he knew his wife would not approve of her. When Joe brought Maggie home in his arms, his wife Mrs. Thompson was enraged that he brought that “sick brat” into her house. Extract I “Death touches the spring….old tumble-down hut…” Question (i): Which woman is referred to here? How did she die? Answer (i):  The ‘woman’ referred to here is Maggie’s mother. She died of excessive alcoholism. She had fallen upon the threshold of her own door in a drunken fit and died in the presence of her three chi...

Hearts and Hands by O. Henry is a story about two acquaintances who meet on a train. When Mr. Easton encounters Miss Fairchild, he is handcuffed to another man. Miss Fairchild gets excited when she learns that her old friend from Washington has become a marshal. One passenger on the train, however, realizes that things are not as they seem. Extract I “As they passed down the aisle … accustomed to speak and be heard.” Question (i):  Which coach is referred to in this extract? How can you conclude that the coach was crowded? Answer (i):  The coach of the eastbound B&M Express is referred to in this extract. The only vacant seat left was a “reversed one facing the attractive woman”. This tells us that the coach was crowded. Question (ii):  Name the young woman in the coach. What is said about her just before the extract? Answer (ii):  The young woman in the coach is named Miss Fairchild. She is described as an elegantly dressed, pretty young woman who had all the lu...