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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
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.
Question : The bar graph given below shows the temperature recorded every day in a certain week. What is the sum of the temperatures recorded on all the days?
Option 1: 240 degrees
Option 2: 215 degrees
Option 3: 235 degrees
Option 4: 205 degrees
Correct Answer: 215 degrees
Solution : The sum of the temperature recorded on all the days = 10 + 35 + 20 + 40 + 15 + 45 + 50 = 215 Hence, the correct answer is 215 degrees.
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?"
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
Question : Comprehension: In the following passage some of the words have been deleted. Read the passage carefully and select the correct answer for the given blank out of the four alternatives. The ocean floor is famously less (1)________ than the surface of Mars. And when our team of scientists recently mapped the seabed, and ancient sediments beneath, we (2) _______what looks like an asteroid impact crater. Intriguingly, the crater, (3)________ "Nadir" after the nearby volcano Nadir Seamount, is of the same age as the Chicxulub impact caused by a huge asteroid at the end of the Cretaceous (4) _______, around 66 million years ago, which (5) ________the dinosaurs and many other species. Question: Select the most appropriate option to fill in the blank number 5.
Option 1: wiped out
Option 2: absolved in
Option 3: turned off
Option 4: counted in
Correct Answer: wiped out
Solution : The correct choice is the first option.
The sentence is referring to the Chicxulub impact, which occurred around 66 million years ago and led to the extinction of dinosaurs and many other species. The term that best fits in this context, indicating the catastrophic
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
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
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
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),
Question : Which of the following crops is classified as fine grain?
Option 1: Bajra
Option 2: Ragi
Option 3: Maize
Option 4: Wheat
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.
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
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
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
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
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
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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