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Question : Directions: Two teams, consisting of 3 players in each team, are participating in a debate competition. Three players in one team are sitting facing the three players of the other team. K and L are sitting facing each other. N and O are in different teams. M is sitting facing N. P is at one of the corners. N is sitting to the immediate right of L. Which of the following are members of the same team?
Option 1: K, M, and P
Option 2: N, L, and M
Option 3: L, N, and P
Option 4: O, K, and N
Correct Answer: L, N, and P
Solution : Given: (I) K and L are sitting facing each other.
(II) N and O are in different teams. M is sitting facing N. P is at one of the corners. N is sitting to the immediate right of L.
So, L, N,
Question : Directions: Select the correct mirror image of the given combination when the mirror is placed at line MN as shown.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side of the figure (on line MN). So, the left side of the reflected image will appear
Question : On a shelf, books with white covers and those with orange covers are in the ratio 12 : 21. If there are 945 books with orange covers, then the number of books with white covers is:
Option 1: 645
Option 2: 540
Option 3: 1485
Option 4: 840
Correct Answer: 540
Solution : Since the ratio of white covers and orange covers is 12 : 21. ⇒ $\frac{\text{Number of books with white covers}}{\text{Number of books with orange covers}} = \frac{12}{21}$ ⇒ $\frac{\text{Number of books with white covers}}{945} = \frac{12}{21}$ ⇒ Number of books with white covers = $\frac{12}{21}$
Question : A man alone can do a piece of work in 16 days, but with the help of his friend, he can do it in 8 days. In what time can his friend do it alone?
Option 1: 12 days
Option 2: 14 days
Option 3: 16 days
Option 4: 10 days
Correct Answer: 16 days
Solution : Time taken by a man to do the work = 16 days Part of done by the man in a day = $\frac{1}{16}$ Let $x$ be the time taken by the friend to do the work. Part of work done by the friend in
Question : The compound ratio of the inverse ratio of the ratios $x:yz, y:xz$ and $z:xy$ is:
Option 1: $1:xyz$
Option 2: $xyz:1$
Option 3: $1 : 1$
Option 4: $x:yz$
Correct Answer: $xyz:1$
Solution : The inverse of $a$ is $\frac{1}{a}$ and a compound ratio is the ratio obtained when we compound two or more ratios through multiplication. For two ratios $m:n$ and $p:q$, the compound ratio is $mp:nq$. The inverse ratio of the ratios, $x:yz,y:xz$ and $z:xy$ is $yz:x,xz:y$
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
We need the energy to move and we (1)__________ on oil for it. Without it, our jobs, our free time and our mobility (2)___________ all be very different. Every day we (3)____________ 70 million barrels of oil. Every year we consume 2,200 million tonnes of coal and 2,500 billion cubic metres of gas. It's a long story! Total (4)____________ in 1924, and for many years it was a French state oil company. In 1999, Total joined Petrofina, the Belgian oil and gas company, and in 2000, Total (5)__________ with its main French competitor, Elf Aquitaine, and the name became Total Fina Elf. Now it's called Total again, and it's France's biggest company.
Select the most appropriate option to fill in blank no.1.
Option 1: hang
Option 2: turn
Option 3: settle
Option 4: depend
Correct Answer: depend
Solution : The correct choice is the fourth option.
It accurately conveys the idea of relying on oil for energy, which is the main point of the sentence.
Question : If $\triangle ABC$ and $\triangle DEF$ are congruent triangles, which of the following is FALSE?
Option 1: The ratio of AC to DF is 2 : 1.
Option 2: The perimeters of both the triangles are equal.
Option 3: AB = DE and BC = EF
Option 4: The ratio of the angles in both the triangles is the same.
Correct Answer: The ratio of AC to DF is 2 : 1.
Solution : Given: $ \triangle ABC$ and $\triangle DEF$ are congruent triangles. When two triangles are congruent, their corresponding sides and angles are also congruent. Option 1: The ratio of AC to DF is 2 : 1. This
Question : Three medians AD, BE, and CF of $\triangle ABC$ intersect at G. The area of $\triangle ABC$ is $36\text{ cm}^2$. Then the area of $\triangle CGE$ is:
Option 1: $12\text{ cm}^2$
Option 2: $6\text{ cm}^2$
Option 3: $9\text{ cm}^2$
Option 4: $18\text{ cm}^2$
Correct Answer: $6\text{ cm}^2$
Solution : Given: AD, BE, and CF are medians of $\triangle ABC$ intersect at G. The area of $\triangle ABC$ = $36\text{ cm}^2$ The median of the triangle divides the triangle into equal areas. $\therefore$ Area of $\triangle CGE$ = $ \frac{\text{Area of} \triangle ABC }{6}=\frac{36}{6}=6\text{
Question : Directions: Which number from among the given options can replace the question mark (?) in the following series? 8, 11, 22, ?, 50, 53
Option 1: 37
Option 2: 42
Option 3: 35
Option 4: 25
Correct Answer: 25
Solution : Given: 8, 11, 22, ?, 50, 53
Add 3, and multiply 2 alternately to the numbers to obtain the next number of the series. 8 + 3 = 11; 11 × 2 = 22; 22 + 3 = 25; 25 × 2 = 50; 50
Question : Directions: Select the option that is not embedded in the given figure as its part (rotation is NOT allowed).
Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. Now, let's check the given options – First option: The given figure is not embedded in the main figure. Second option:
Third option:
Fourth option:
So, only the
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