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Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it. First row – 12, 19, 26 Second row – 28, 35, 42 Third row – 39, 46,?
Option 1: 49
Option 2: 63
Option 3: 53
Option 4: 75
Correct Answer: 53
Solution : Given: First row – 12, 19, 26 Second row – 28, 35, 42 Third row – 39, 46,?
In the above-given rows add 7 in the first number to obtain the second number and again add 7 in the second number to obtain the third
Question : Let D and E be two points on the side BC of $\triangle ABC$ such that AD = AE and $\angle BAD = \angle EAC$. If AB=(3x+1) cm, BD = 9 cm, AC=34 cm and EC = (y + 1) cm, then the value of (x + y) is:
Option 1: 19
Option 2: 16
Option 3: 17
Option 4: 20
Correct Answer: 19
Solution : If two sides of a triangle are equal, then the angles opposite to these sides are equal. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. Angle - Angle (AA) property:- In two triangles, if two pairs
Question : What should be the least number of years in which the Simple Interest on Rs. 2600 at $6\frac{2}{3}$% will be an exact number of rupees?
Option 1: 3
Option 2: 2
Option 3: 5
Option 4: 4
Correct Answer: 3
Solution : Use the formula below, Simple Interest = $\frac{\text{Principal×Rate×Time}}{100}$ Let the number of years be $x$. Simple Interest on Rs. 2600 at the Rate of $6\frac{2}{3}$% interest is, = $\frac{2600×\frac{20}{3}×x}{100}$ = $\frac{520x}{3}$ = $x$ should be 3, 6, 9..... for the exact number. So, the least
Question : Directions: U, V, W, X, and Y are sitting around a circular table facing away from the centre. U is sitting to the immediate left of W. X sits exactly in between V and Y. W and V are sitting next to each other. Who is sitting to the immediate left of U?
Option 1: X
Option 2: W
Option 3: Y
Option 4: V
Correct Answer: Y
Solution : Given: 1. U is sitting to the immediate left of W. 2. X sits exactly in between V and Y. 3. W and V are sitting next to each other.
So, from the final seating arrangement, Y sits immediately left of U. Hence, the third
Question : Directions: The bar chart given below shows the percentage distribution of the production of various models of mobile manufacturing in 2007 and 2008. The total production in 2007 was 35 lakh mobile phones, and in 2008, the production was 44 lakh. Study the chart and answer the following questions:
The total number of mobiles of models A, B, and E manufactured in 2007 was:
Option 1: 24,50,000
Option 2: 22,75,000
Option 3: 21,00,000
Option 4: 19,25,000
Correct Answer: 21,00,000
Solution : As per the given graph, The total production of mobile phones in 2007 = 35 lakh The number of mobiles of model A manufactured in 2007 = 30% of 35 lakh = 10,50,000 The number of mobiles of model B manufactured in 2007 = 15%
Question : If $a= \frac{\sqrt{x+2}+\sqrt{x-2}}{\sqrt{x+2}-\sqrt{x-2}}$, then the value of $(a^{2}-ax)$ is:
Option 1: 1
Option 3: –1
Option 4: 0
Correct Answer: –1
Solution : To solve $(a^{2}-ax)$, we first need to calculate the value of $a$: $a= \frac{\sqrt{x+2}+\sqrt{x-2}}{\sqrt{x+2}-\sqrt{x-2}} \times \frac{\sqrt{x+2}+\sqrt{x-2}}{\sqrt{x+2}+\sqrt{x-2}} = \frac{2x+2\sqrt{x^2-4}}{4}= \frac{x+\sqrt{x^2-4}}{2}$ ⇒ $2a=x+\sqrt{x^2-4}$ ⇒ $2a-x=\sqrt{x^2-4}$ Squaring both sides, we have, ⇒ $4a^2+x^2-4ax=x^2-4$ ⇒ $a^2-ax=-1$ Hence, the correct answer is –1.
Question : The Mahabodhi Temple is an ancient Buddhist temple. It is situated in which state of India?
Option 1: Rajasthan
Option 2: Uttar Pradesh
Option 3: Kerala
Option 4: Bihar
Correct Answer: Bihar
Solution : The correct answer is Bihar.
The Mahabodhi Temple, an ancient Buddhist temple, is in Bihar, India. Specifically, it is located in Bodh Gaya, a city known for being the place where Gautama Buddha is said to have attained enlightenment under the Bodhi Tree.
Question : The slope of the line passing through the point (7, –2) and ($x$, 1) is $-\frac{3}{10}$. Find $x$.
Option 1: 4
Option 3: –4
Option 4: –3
Correct Answer: –3
Solution : Given: Slope of the line passing through points (7, –2) and ($x$, 1) is $\frac{–3}{10}$. Slope of the line joining $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is given by, $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ $⇒\frac{-3}{10}=\frac{1-(-2)}{x-7}$ $⇒\frac{-3}{10}=\frac{3}{x-7}$ $⇒–3x+21=30$ $⇒–3x=9$ $⇒x=–3$ Hence, the correct answer is –3.
Question : Directions: Pradeep, Nikku, Rinku, Sohail, and Tannu are sitting on a bench facing north. Pradeep is an immediate neighbour of Nikku. Sohail is an immediate neighbour of Tannu. Pradeep is not sitting with Rinku who sits on the right end of the bench. Pradeep sits to the right of Sohail and Tannu. Sohail sits to the right of Tannu. In which position Pradeep is sitting?
Option 1: Second from right
Option 2: Fourth from left
Option 3: Third from left
Option 4: Second from left
Correct Answer: Third from left
Solution : Given: Here, names are denoted by the initial letter. Pradeep→P, Tannu→T, Sohail→S, Nikku→N, Rinku→R
(I) Pradeep sits to the right of Sohail and Tannu. Sohail sits to the right of Tannu. Sohail is an immediate neighbour of Tannu.
(II) Pradeep is an immediate
Question : Who is the first Indian to have authored a published English novel?
Option 1: Bankim Chandra Chattopadhyay
Option 2: Jhumpa Lahiri
Option 3: Amitav Ghosh
Option 4: Rabindranath Tagore
Correct Answer: Bankim Chandra Chattopadhyay
Solution : The correct option is Bankim Chandra Chattopadhyay.
Bankim Chandra Chattopadhyay, a renowned Indian author and poet, is credited with writing the first major Indian novel in English. His novel "Rajmohan's Wife" was serialized in the Indian Field magazine in 1864, making it the
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