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Question : If $x=\frac{8ab}{a+b}(a\neq b),$ then the value of $\frac{x+4a}{x–4a}+\frac{x+4b}{x–4b}$ is:

Option 1: 0

Option 2: 1

Option 3: 2

Option 4: 4

Team Careers360 12th Jan, 2024

Correct Answer: 2


Solution : Given: $x=\frac{8ab}{a+b}(a\neq b)$
Then, putting the value of $x$ in expression $\frac{x+4a}{x–4a}+\frac{x+4b}{x–4b}$, we have,
= $\frac{\frac{8ab}{a+b}+4a}{\frac{8ab}{a+b}–4a}+\frac{\frac{8ab}{a+b}+4b}{\frac{8ab}{a+b}–4b}$
= $\frac{\frac{8ab+4a^{2}+4ab}{a+b}}{\frac{8ab–4a^{2}–4ab}{a+b}}+\frac{\frac{8ab+4ab+4b^{2}}{a+b}}{\frac{8ab–4ab–4b^{2}}{a+b}}$
= $\frac{{8ab+4a^{2}+4ab}}{8ab–4a^{2}–4ab}+\frac{8ab+4ab+4b^{2}}{8ab–4ab–4b^{2}}$
= $\frac{{12ab+4a^{2}}}{4ab–4a^{2}}+\frac{12ab+4b^{2}}{4ab–4b^{2}}$
= $\frac{{4a(3b+a)}}{4a(b–a)}+\frac{4b(3a+b)}{4b(a–b)}$
= $\frac{{(3b+a)}}{(b–a)}+\frac{(3a+b)}{(a–b)}$
= $\frac{{(3b+a–3a–b)}}{(b–a)}$
= $\frac{{(2b–2a)}}{(b–a)}$
= $\frac{{2(b–a)}}{(b–a)}$
= 2
Hence, the correct answer is 2.

44 Views

Question : Select the option that expresses the given sentence in direct speech.
He said he was going for shopping and asked if he might get me anything.

Option 1: He said, "I'm going for shopping. Can I get you anything?"

Option 2: He said, "I'm going for shopping. May I get you anything?"

Option 3: He said, "I will go for shopping. Do you want anything?"

Option 4: He said, "I will be going for shopping. May I get you anything?"

Team Careers360 12th Jan, 2024

Correct Answer: He said, "I'm going for shopping. May I get you anything?"


Solution : The correct choice is the second option.

In the given sentence, the transformation from indirect speech to direct speech involves converting the reported speech back into the speaker's original words. 

The steps of conversion

13 Views

Question : Directions: In the following question, select the related number from the given alternatives.
42 : 20 :: 64 : ?

Option 1: 32

Option 2: 33

Option 3: 34

Option 4: 31

Team Careers360 23rd Jan, 2024

Correct Answer: 31


Solution : Given:
42 : 20 :: 64 : ?

Subtract 1 from the half of the first number to obtain the second number.
Like, 42 : 20→(42 ÷ 2) – 1 = 21 – 1 = 20
Similarly, follow the same pattern for 64 : ?→(64

113 Views

Question : Five years from now, the ratio of the ages of A, B and C will be 3 : 5 : 2. The sum of the squares of their present ages is 525. What is the present age of B?

Option 1: 10 years

Option 2: 15 years

Option 3: 25 years

Option 4: 20 years

Team Careers360 14th Jan, 2024

Correct Answer: 20 years


Solution : The ratio of ages of A, B and C after 5 years = 3 : 5 : 2
Let the ages of A, B and C after 5 years be $3x, 5x$ and $2x$ respectively.
Present ages of A, B and C = $(3x-5),

21 Views

Question : Which of the following crops is classified as fine grain?

Option 1: Bajra

Option 2: Ragi

Option 3: Maize

Option 4: Wheat

Team Careers360 13th Jan, 2024

Correct Answer: Wheat


Solution : The correct answer is Wheat.

Coarse crops are less refined when compared to fine crops like wheat, rice, and maize. The coarse crops are Jowar, Bajra, and Ragi, and they have a lot of nutritional value. 

28 Views

Question : Select the most appropriate meaning of the given idiom.

Once in a blue moon

Option 1: Very ancient

Option 2: Very colorful

Option 3: Very rare

Option 4: Very high

Team Careers360 16th Jan, 2024

Correct Answer: Very rare


Solution : The correct choice is the third option.

This idiom is used to describe something that happens very infrequently or rarely, similar to how often a blue moon occurs after thirty-three months.

Therefore, the most appropriate meaning of the idiom, once in a blue

16 Views

Question : Directions: Select the option that is related to the fifth letter cluster in the same way as the second letter cluster is related to the first letter cluster and the fourth letter cluster is related to the third letter cluster.
PLAN : QOMKBZOM :: SINK : TRJHOMLJ :: RUDE : ?

Option 1: SQVTECFD

Option 2: ECFDSQVT

Option 3: ECFDECFD

Option 4: SQVTSQVT

Team Careers360 16th Jan, 2024

Correct Answer: SQVTECFD


Solution : Given:
PLAN : QOMKBZOM :: SINK : TRJHOMLJ :: RUDE : ?

Add and subtract 1 from the place value of each letter of the PLAN, to get their related letter cluster –


So, PLAN is related to QOMKBZOM.
And, SINK : TRJHOMLJ→


So, SINK

9 Views

Question : Directions: In the following question, select the odd letter cluster from the given alternatives.

Option 1: UTS

Option 2: PNM

Option 3: KIH

Option 4: FDC

Team Careers360 15th Jan, 2024

Correct Answer: UTS


Solution : Let's check the options –
First option: UTS; U – 1 = T; T – 1 = S
Second option: PNM; P – 2 = N; N – 1 = M
Third option: KIH; K – 2 = I; I – 1 = H
Fourth

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