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Question : In $\triangle$PQR, the angle bisector of $\angle$P intersects QR at M. If PQ = PR, then what is the value of $\angle$PMQ?
Option 1: 75°
Option 2: 80°
Option 3: 70°
Option 4: 90°
Correct Answer: 90°
Solution : In $\triangle$PQR, PQ = PR ⇒ $\angle$Q = $\angle$R = b PM is the angle bisector of $\angle$P. $\angle$QPM = $\angle$RPM = a Apply angle sum property in $\triangle$PQR, ⇒ $\angle$P + $\angle$Q + $\angle$R = 180° ⇒ $\angle$P + b + b = 180°
Question : A class is divided into two sections, with 20 students in one section and 30 students in the other. The pass percentages for these sections are 80% and 60%, respectively. What is the pass percentage for the entire class?
Option 1: 60%
Option 2: 68%
Option 3: 70%
Option 4: 78%
Correct Answer: 68%
Solution : The number of students who passed = 80% of 20 + 60% of 30 = $\frac{80 × 20}{100}$ + $\frac{60 × 30}{100}$ = 16 + 18 = 34 Now, the pass percentage of the entire class = $\frac{\text{Number of students passed}}{\text{Total students}}$ × 100 =
Question : Which of the following festivals is observed by the tribal people of Jharkhand?
Option 1: Nongkrem
Option 2: Losar
Option 3: Suata
Option 4: Bhagta Parab
Correct Answer: Bhagta Parab
Solution : The correct option is Bhagta Parab.
Bhagta Parab is an important festival celebrated by the tribal communities in Jharkhand, particularly by the Oraon tribe. This festival is associated with the worship of the deity Marang Buru, who is considered to be the protector of
Question : Match the columns.
Option 1: i-a, ii-c, iii-b, iv-d
Option 2: i-b, ii-a, iii-d, iv-c
Option 3: i-b, ii-a, iii-c, iv-d
Option 4: i-a, ii-b, iii-c, iv-d
Correct Answer: i-b, ii-a, iii-d, iv-c
Solution : The correct answer is i-b, ii-a, iii-d, iv-c.
Question : If $\sqrt{11-3 \sqrt{8}}=a+b \sqrt{2}$, then what is the value of (2a + 3b) ?
Option 1: 7
Option 2: 9
Option 3: 3
Option 4: 5
Correct Answer: 3
Solution : Given: $\sqrt{11-3 \sqrt{8}}=a+b \sqrt{2}$ ⇒ $\sqrt{11-3 \sqrt{2\times2\times2}}=a+b \sqrt{2}$ ⇒ $\sqrt{9+2-2×3\sqrt{2}}=a+b \sqrt{2}$ ⇒ $\sqrt{(3)^2+(\sqrt2)^2-2\times3\sqrt{2}}=a+b \sqrt{2}$ ⇒ $\sqrt{(3-\sqrt{2})^2}=a+b \sqrt{2}$ ⇒ $3-\sqrt{2}=a+b \sqrt{2}$ Comparing both sides, we get, $a=3,b=-1$ Now, $(2a+3b)$ = $(2\times3+3\times(-1))$ = $3$ Hence, the correct answer is 3.
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence.
He was looking into his book for the last two hours but couldn't find it.
Option 1: looking down on his book
Option 2: looking above his book
Option 3: looking for his book
Option 4: looking after his book
Correct Answer: looking for his book
Solution : The correct choice is the third option.
In this context, looking for is the correct phrase to convey the idea of searching for his book. The preposition for is used with the verb looking to indicate the purpose or direction of
Question : Directions: In a certain code RAIN is written as TCKP. How is CLOUD written in that code?
Option 1: ENQWF
Option 2: EMQWF
Option 3: FNQWE
Option 4: ENRWF
Correct Answer: ENQWF
Solution : Given: RAIN is written as TCKP.
Add 2 to the place value of each letter of RAIN to obtain the required code – R + 2 = T; A + 2 = C; I + 2 = K; N + 2 = P Thus, RAIN
Question : A person covers the first 25 km in 60 minutes and the next 38 km in 30 minutes. What is his average speed for the whole journey?
Option 1: 46 km /hr
Option 2: 49 km/hr
Option 3: 42 km/hr
Option 4: 36 km /hr
Correct Answer: 42 km/hr
Solution : Given: A person covers the first 25 km in 60 minutes and the next 38 km in 30 minutes. Total distance = 25 + 38 = 63 km Total time = (60 + 30) = 90 minutes = $\frac{90}{60}$ = $\frac{3}{2}$ hours So, the
Question : A shopkeeper sold an item at 10% loss after giving a discount equal to half the marked price. Then the cost price is:
Option 1: $\frac{1}{9}$th of the marked price
Option 2: $\frac{4}{9}$th of the marked price
Option 3: $\frac{5}{9}$th of the marked price
Option 4: $\frac{7}{9}$th of the marked price
Correct Answer: $\frac{5}{9}$th of the marked price
Solution : Let the marked price = $p$ and the cost price = $q$ According to the question, ∴ 50% of $p$ = 90% of $q$ ⇒ $\frac{p×50}{100}=\frac{q×90}{100}$ ∴ $q=\frac{5}{9}p$ So, the cost price is $\frac{5}{9}$th of the marked price. Hence, the correct
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
Our flight was _____from Jaipur to Agra airport.
Option 1: Shifted
Option 2: diverted
Option 3: reverted
Option 4: deflected
Correct Answer: diverted
Solution : The correct word to fill in the blank is the second option.
It means to change the direction or route of something. In the context of the sentence, "diverted" is the most suitable choice because it accurately conveys the idea that the flight's route was
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