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10 Views

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°

Team Careers360 26th Jan, 2024

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°

26 Views

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%

Team Careers360 27th Jan, 2024

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
=

24 Views

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

Team Careers360 26th Jan, 2024

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

22 Views

Question : Match the columns.

Instrument Their Function
i. Voltmeter a. An instrument that measures the magnitude of the current
ii. Ammeter b. An instrument that measures voltage
iii.Galvanometer c. An instrument that measures resistance
iv. Ohmmeter d. An instrument that measures the direction and the magnitude of the current

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

Team Careers360 26th Jan, 2024

Correct Answer: i-b, ii-a, iii-d, iv-c


Solution : The correct answer is i-b, ii-a, iii-d, iv-c.

  • Voltmeter: An instrument that measures voltage.
  • Ammeter: an instrument that measures the magnitude of the current.
  • Galvanometer: an instrument that measures the direction and magnitude of the current.
  • Ohmmeter: An instrument that measures
15 Views

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

Team Careers360 26th Jan, 2024

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.

88 Views

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

Team Careers360 26th Jan, 2024

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

37 Views

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

Team Careers360 27th Jan, 2024

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

47 Views

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

Team Careers360 27th Jan, 2024

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

27 Views

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

Team Careers360 27th Jan, 2024

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

28 Views

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

Team Careers360 26th Jan, 2024

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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