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Question : In a quadrilateral ABCD, E is a point in the interior of the quadrilateral such that DE and CE are the bisectors of $\angle D$ and $\angle C$, respectively. If $\angle B=82^{\circ}$ and $\angle D E C=80^{\circ}$, then $\angle A=$ ?

Option 1: 75º

Option 2: 81º

Option 3: 84º

Option 4: 78º

Team Careers360 25th Jan, 2024

Correct Answer: 78º


Solution :
Concept used: 
The sum of all the internal angles of a quadrilateral is 360$^\circ$
The sum of all the internal angles of a triangle is 180$^\circ$
Calculations:
In quadrilateral ABCD,
$\angle$A + $\angle$B + $\angle$C + $\angle$D = 360$^\circ$
⇒ $\angle$A + 82° + $\angle$C

72 Views

Question : A container contains 25 litres of milk. From this container, 5 litres of milk is taken out and replaced by water. This process is further repeated two times. How much milk is there in the container now?

Option 1: 11.5 litres

Option 2: 14.8 litres

Option 3: 13.5 litres

Option 4: 12.8 litres

Team Careers360 25th Jan, 2024

Correct Answer: 12.8 litres


Solution : Left quantity = Initial quantity(1 – [Fraction removed])N (Where N = Number of times the process is carried out)
Fraction of milk removed = $\frac{5}{25}$ = $\frac{1}{5}$
Now, the quantity of milk left in the container
$= 25(1 - \frac{1}{5})^3$
$= 25 ×

16 Views

Question : Choose the word that means the same as the given word.

Jejune

Option 1: Poignant

Option 2: Drab

Option 3: Unchildlike

Option 4: Cosmopolitan

Team Careers360 25th Jan, 2024

Correct Answer: Drab


Solution : The correct choice is the second option.

Explanation:

Jejune is an adjective used to describe something that is dull, lacking interest, or insipid. It often refers to ideas, writing, or things that are simplistic and unstimulating.

Drab is a fitting synonym in this context.

22 Views

Question : A train starts moving from place A at 10: 00 am. and arrives at place B at 5: 30 pm on the same day. If the speed of the train is 80 km/hr, then what will be the distance covered by the train?

Option 1: 600 km

Option 2: 550 km

Option 3: 650 km

Option 4: 450 km

Team Careers360 25th Jan, 2024

Correct Answer: 600 km


Solution : Given: A train starts moving from place A at 10: 00 am and arrives at place B at 5: 30 pm on the same day i.e. 7 hr 30 mins = 7.5 hours
The speed of the train is 80 km/hr.
Distance = Speed

5 Views

Question : Directions: Select the option figure that will replace the question mark (?) in the figure given below to complete the pattern (Rotation is not allowed).

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 25th Jan, 2024

Correct Answer:


Solution : Here, each part is rotated by 90° in a clockwise direction. On comparing the question figure and all the answer figures, the following figure will combine and make the complete pattern –

Hence, the second option is correct.

46 Views

Question : The remainder when 72 × 73 × 78 × 76 is divided by 35 is:

Option 1: 12

Option 2: 15

Option 3: 22

Option 4: 8

Team Careers360 25th Jan, 2024

Correct Answer: 8


Solution : (72 × 73 × 78 × 76) divided by 35
We divide every number individually by 35, then the total remainder is also divided by 35 to get the required remainder.
$\frac{(72 × 73 × 78 × 76)}{35}$
⇒ $\frac{(2 × 3 × 8 ×

21 Views

Question : Directions: Arrange the given words in the sequence in which they occur in the dictionary.
i. Worrisome ii. Wonderful iii. Worthless iv. Wrong

Option 1: iv, ii, i, iii

Option 2: ii, i, iii, iv

Option 3: ii, iii, i, iv

Option 4: i, iv, iii, ii

Team Careers360 25th Jan, 2024

Correct Answer: ii, i, iii, iv


Solution : Given:
i. Worrisome ii. Wonderful iii. Worthless iv. Wrong

Step 1: Consider the first letter of each word. Since all the words start with the same letter W, move on to the next letter.
Step 2: The second letter of each

18 Views

Question : Directions: The bar graphs represent the number of road accidents due to buses and cars during the years 2008 to 2013. Study the graph and answer the question.

The ratio of the averages of road accidents due to buses to that by cars in the years 2008, 2011 and 2013 is:

Option 1: $4:5$

Option 2: $5:4$

Option 3: $5:1$

Option 4: $1:4$

Team Careers360 25th Jan, 2024

Correct Answer: $5:4$


Solution : As per the given graph:
The average number of road accidents due to buses in the years 2008, 2011, and 2013= $\frac{30+60+10}{3}=\frac{100}{3}$
The average number of road accidents due to cars in the years 2008, 2011, and 2013 = $\frac{40+20+20}{3}=\frac{80}{3}$
The required ratio = $\frac{100}{3}$:$\frac{80}{3}$

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