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Question : What is the value of $\frac{X}{Y}$ if $\frac{X-5 Y}{X+5 Y}=\frac{7}{13}$
Option 1: $\frac{23}{7}$
Option 2: $\frac{24}{9}$
Option 3: $\frac{50}{3}$
Option 4: $\frac{100}{7}$
Correct Answer: $\frac{50}{3}$
Solution : Given: $\frac{X-5 Y}{X+5Y}=\frac{7}{13}$ ⇒ $13X-65Y=7X+35Y$ ⇒ $6X=100Y$ $\therefore \frac{X}{Y}=\frac{50}{3}$ Hence, the correct answer is $\frac{50}{3}$.
Question : The value of (1+ sin4 A – cos4 A) cosec2 A is:
Option 1: –2
Option 2: 2
Option 3: 1
Option 4: –1
Correct Answer: 2
Solution : (1+ sin4 A – cos4 A) cosec2 A = [1+ (sin2 A)2 – (cos2 A)2] cosec2 A = [1+ (sin2 A + cos2 A)(sin2 A – cos2 A)] cosec2 A =
Question : Select the most appropriate synonym of the given word. Deference
Option 1: compliance
Option 2: dishonour
Option 3: disregard
Option 4: complication
Correct Answer: compliance
Solution : The correct choice is the first option.
Explanation: Deference refers to a respectful or courteous regard for the opinions or wishes of others. Compliance means the act of conforming, acquiescing, or yielding to a request or demand.
The meanings of the other options are as
Question : Select the option that expresses the given sentence in direct speech. Hema told her friends that Rose was worried whether she would break her team's scoring record soon.
Option 1: Hema told her friends, "Rose is worried whether she would break her team's scoring record soon."
Option 2: Hema said to her friends, "Rose is worried whether she will break her team's scoring record soon."
Option 3: Hema said to her friends, "Rose was worried whether she will break her team's scoring record soon."
Option 4: Her friends said to Hema, "Rose was worried that she would break her team's scoring record soon."
Correct Answer: Hema said to her friends, "Rose is worried whether she will break her team's scoring record soon."
Solution : The second option is the correct choice.
The given sentence is in indirect speech, and we need to convert it to direct speech.
When we change an indirect speech
Question : What is the average height of the troposphere?
Option 1: 13 Km
Option 2: 30 Km
Option 3: 6 Km
Option 4: 50 Km
Correct Answer: 13 Km
Solution : The correct option is 13 Km.
The troposphere is the lowest layer of Earth's atmosphere, extending from the surface up to an average altitude of 13 Km above sea level. The height of the troposphere can vary with latitude and season. In the tropics,
Question : In which year was the 'Pradhan Mantri Kaushal Vikas Yojana' launched?
Option 1: 2019
Option 2: 2015
Option 3: 2014
Option 4: 2020
Correct Answer: 2015
Solution : The correct answer is 2015.
The 'Pradhan Mantri Kaushal Vikas Yojana' (PMKVY) was launched in 2015. It is a skill development initiative of the Government of India aimed at providing skill training to the country's youth to help them secure a better livelihood and employment
Question : Which of the following Indian states is not covered by the Deccan Plateau?
Option 1: Telangana
Option 2: Maharashtra
Option 3: Andhra Pradesh
Option 4: Madhya Pradesh
Correct Answer: Madhya Pradesh
Solution : The correct answer is Madhya Pradesh is not covered by the Deccan Plateau.
The Deccan Plateau, also referred to as the Peninsular Plateau or the Great Peninsular Plateau, is a vast plateau that spans from 100 meters in the north to 1000 meters in
Question : Directions: If a mirror is placed on the line MN, then which of the answer figures is the right mirror image of the given figure?
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. So, according to the above property and the information provided, the mirror is placed on the right side of the figure (on Line MN). So, the left side of the
Question : The letter 'G' used in '2G spectrum' stands for:
Option 1: Governance
Option 2: Global
Option 3: Generation
Option 4: Google
Correct Answer: Generation
Solution : The correct option is Generation.
Generation is represented by the letter "G" in the 2G spectrum. Therefore, the acronym 2G represents the second generation. Second-generation mobile telecommunications networks primarily concentrate on providing digital voice services and limited data capabilities, using radio frequency bands and
Question : Directions: In the following question, select the odd one from the given alternatives.
Option 1: KP
Option 2: DW
Option 3: GT
Option 4: CW
Correct Answer: CW
Solution : Let's check the options – First option: KP; K (11) + P (16) = 27 (Opposite letter pair) Second option: DW; D (4) + W (23) = 27 (Opposite letter pair) Third option: GT; G (7) + T (20) = 27 (Opposite letter pair) Fourth
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