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Question : Directions: Which two signs should be interchanged to make the given equation correct? 756 ÷ 252 + 89 × 180 – 63 = 384
Option 1: + and ×
Option 2: ÷ and –
Option 3: – and +
Option 4: ÷ and +
Correct Answer: + and ×
Solution : Given: 756 ÷ 252 + 89 × 180 – 63 = 384
Replace the given symbols in the options one by one with the original symbols in the given equation. First option: + and × = 756 ÷ 252 × 89 + 180
Question : Synonym of internet is:
Option 1: gopher
Option 2: intranet
Option 3: cyberspace
Option 4: World Wide Web (WWW)
Correct Answer: cyberspace
Solution : The correct option is Cyberspace.
Cyberspace is one of the synonyms of the internet, along with other synonyms such as computer network, information technology, web communications, and online universe.
Question : If $x=93, y=93, z=94$, then the value of $(x^{2}-y^{2}+10xz+10yz)$ is:
Option 1: 104784
Option 2: 147840
Option 3: 174840
Option 4: 184740
Correct Answer: 174840
Solution : Given: $(x^{2}-y^{2}+10xz+10yz)$ $ =(x-y)(x+y)+10z(x+y)$ $ =(x+y)[(x-y+10z)]$ By putting the values $x = 93, y= 93,$ and $z = 94$ we get: So, $(x^{2}-y^{2}+10xz+10yz)= (93 + 93)[(93 – 93 + 10 × 94)]$ $=$ 186 × 940 $=$ 174840 Hence, the correct answer is 174840.
Question : Through which states does the river Chambal flow?
Option 1: Rajasthan, Madhya Pradesh, Bihar
Option 2: Uttar Pradesh, Madhya Pradesh
Option 3: Madhya Pradesh, Gujarat, Uttar Pradesh
Option 4: Gujarat, Madhya Pradesh, Bihar
Correct Answer: Uttar Pradesh, Madhya Pradesh
Solution : The correct answer is Uttar Pradesh, Madhya Pradesh.
The Chambal River have a famous National Chambal Gharial Wildlife Sanctuary. Chambal River travels through three Indian states: Madhya Pradesh, Rajasthan and Uttar Pradesh in northern India. It is a tributary of the
Question : A _____________ is a deep valley with very steep to straight sides and is almost equal in width at its top and its bottom.
Option 1: gorge
Option 2: relief
Option 3: canyon
Option 4: strait
Correct Answer: gorge
Solution : The correct option is gorge.
A gorge is a deep valley that is about equal in width at both its top and bottom, with walls that range from extremely steep to straight. Rivers and other geological processes erode over time to generate gorges, which
Question : Comprehension: Read the given passage and answer the questions that follow. Her name was Sulekha, but since her childhood, everyone had been calling her Bholi, the simpleton. She was the fourth daughter of Ramlal. When she was ten months old, she had fallen off the cot on her head and perhaps it had damaged some part of her brain. That was why she remained a backward child and came to be known as Bholi, the simpleton. At birth, the child was very fair and pretty. But when she was two years old, she had an attack of smallpox. Only the eyes were saved, but the entire body was permanently disfigured by deep black pockmarks. Little Sulekha could not speak till she was five as she was a slow learner, and when at last she learned to speak, she stammered. The other children often made fun of her and mimicked her. As a result, she talked very little. Ramlal had seven children - three sons and four daughters, and the youngest of them was Bholi. It was a prosperous farmer's household and there was plenty to eat and drink. All the children except Bholi were healthy and strong. The sons had been sent to the city to study in schools and later in colleges. Of the daughters, Radha, the eldest, had already been married. The second daughter Mangla's marriage had also been settled, and when that was done, Ramlal would think of the third, Champa. They were good-looking, healthy girls, and it was not difficult to find bridegrooms for them. But Ramlal was worried about Bholi. She had neither good looks nor intelligence. From her very childhood, Bholi was neglected at home. She was seven years old when Mangla was married. The same year a primary school for girls was opened in their village. The Tehsildar sahib came to perform its opening ceremony. He said to Ramlal, "As a revenue official you are the representative of the government in the village and so you must set an example to the villagers. You must send your daughters to school." That night when Ramlal consulted his wife, she cried, "Are you crazy? If girls go to school, who will marry them?" But Ramlal had not the courage to disobey the Tehsildar. At last, his wife said, "I will tell you what to do. Send Bholi to school. As it is, there is little chance of her getting married, with her ugly face and lack of sense. Let the teachers at school worry about her."
Question: What did the smallpox attack do to Sulekha?
Option 1: It damaged her speech.
Option 2: It made her look ugly.
Option 3: It damaged her eyes.
Option 4: It made her dull.
Correct Answer: It made her look ugly.
Solution : The correct choice is the second option.
The smallpox attack that Sulekha, also known as Bholi, suffered at the age of two had a severe impact on her appearance. The disease resulted in deep black pockmarks across her body, altering
Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.
Option 1: 48
Option 2: 52
Option 3: 40
Option 4: 50
Correct Answer: 50
Solution : The sum of the square of columns one, two, and four is equal to the third column –
In the first row: 32 + 22 + 52 = 38 In the third row: 72 + 12 + 22 =
Question : The marked price of a saree is Rs. 200. After allowing a discount of 20% on the marked price, the shopkeeper makes a profit of Rs.16. Find the gain percentage:
Option 1: $11\frac{1}{9}$%
Option 2: $9\frac{1}{11}$%
Option 3: $11$%
Option 4: $8$%
Correct Answer: $11\frac{1}{9}$%
Solution : Selling price = 200 - 200×$\frac{20}{100}$ = Rs. 160 Cost price = Selling price – Profit = 160 – 16 = Rs. 144 Gain % = $\frac{Gain}{\text{Cost price}}×100 = \frac{16}{144}×100=\frac{100}{9}$ = $11\frac{1}{9}$% Hence, the correct answer is $11\frac{1}{9}$%.
Question : The value of 14 + [100 ÷ {60 ÷ (18 ÷ 6)}] of 400 is:
Option 1: 2020
Option 2: 2014
Option 3: 2015
Option 4: 2000
Correct Answer: 2014
Solution : 14 + [100 ÷ {60 ÷ (18 ÷ 6)}] of 400 = 14 + [100 ÷ {60 ÷ 3}] of 400 = 14 + [100 ÷ 20] of 400 = 14 + (5 × 400) = 14 + 2000 = 2014 Hence, the correct answer
Question : If $x+y+z=19, x y z=216$ and $x y+y z+z x=114$, then the value of $x^3+y^3+z^3+x y z$ is:
Option 1: 1225
Option 2: 1441
Option 3: 361
Option 4: 577
Correct Answer: 1225
Solution : $x + y + z = 19$ --------------(1) $xyz = 216$ --------------------(2) $xy + yz + zx= 114$ -----------(3) Squaring both sides in equation (1) $(x + y + z)^2 = 19^2$ $⇒x^2 + y^2 + z^2 + 2(xy + yz + zx) = 361$
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