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Question : The sum of the first 20 term of the series $\frac{1}{5×6}+\frac{1}{6×7}+\frac{1}{7×8}+....$ is:
Option 1: 0.16
Option 2: 1.6
Option 3: 16
Option 4: 0.016
Correct Answer: 0.16
Solution : Given: The sum of the first 20 terms of the series $\frac{1}{5×6}+\frac{1}{6×7}+\frac{1}{7×8}+....$ So, $a_{1} =5$ and $a_{20} =5+(20-1)×1=24$ 20th term $=\frac{1}{24×25}$ $=\frac{1}{5×6}+\frac{1}{6×7}+\frac{1}{7×8}+.... + \frac{1}{24×25}$ $=\frac{1}{5}-\frac{1}{6} + \frac {1}{6} - \frac{1}{7}+\frac{1}{7}-\frac{1}{8}+..............+\frac{1}{24}-\frac{1}{25}$ $=\frac{1}{5}-\frac{1}{25}$ $=\frac{4}{25}$ $= 0.16$ Hence, the correct answer is 0.16.
Question : ______________ is a by product of sewage treatment and can be decomposed to produce biogas.
Option 1: Sewage
Option 2: Sludge
Option 3: Sewer
Option 4: Scum
Correct Answer: Sludge
Solution : The correct option is Sludge.
Sludge is a byproduct of sewage treatment that may be degraded to generate biogas through a biological process known as anaerobic digestion. Anaerobic digestion is the breakdown of organic materials by microbes in the absence of oxygen. In the case
Question : If the sum of the measures of all the interior angles of a polygon is 1440$^\circ$, find the number of sides of the polygon.
Option 1: 8
Option 2: 12
Option 3: 10
Option 4: 14
Correct Answer: 10
Solution : Given: If the sum of the measures of all the interior angles of a polygon is 1440$^\circ$. A polygon with $n$ sides has an interior angle sum of $(n – 2)×180^\circ$. According to the question, $(n – 2)×180^\circ=1440^\circ$ ⇒ $n–2=8$ ⇒ $n=10$ Hence, the correct
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
If you are living in the crowded part of the city, then you should be ready to (bear) the noise.
(1) bear off
(2) bear away
(3) bear with
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The correct choice is the third option.
The phrase bear with is the correct expression to convey the idea of enduring or tolerating something, such as noise in this context. Bear with means to be patient or tolerate a difficult or challenging situation.
The meanings
Question : Which of the following minerals is responsible for the synthesis of thyroxine hormone?
Option 1: Iron
Option 2: Cobalt
Option 3: Calcium
Option 4: Iodine
Correct Answer: Iodine
Solution : The correct answer is Iodine.
The mineral responsible for the synthesis of the thyroxine hormone is iodine. It is an essential component in the structure of thyroid hormones, including thyroxine. Thyroxine plays a crucial role in regulating metabolism and maintaining overall physiological balance in
Question : Directions: Select the figure from the options that can replace the question mark (?) and complete the given pattern.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : 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.
Question : Match the following:
A. Mohenjo-daro 1. Statue of a priest
B. Harappa 2. Port
C. Kalibangan 3. Plough marks
D. Lothal 4.The Great Bath
Option 1: A - 4, B - 1, C - 3, D - 2
Option 2: A - 3, B - 2, C - 4, D - 1
Option 3: A - 2, B - 3, C - 1, D - 4
Option 4: A - 1, B - 4, C - 2, D - 3
Correct Answer: A - 4, B - 1, C - 3, D - 2
Solution : The correct answer is - A - 4, B - 1, C - 3, D - 2
The Indus Valley civilisation is one of the oldest civilisations in the world, and it matured between
Question : Directions: One statement is given followed by two assumptions I and II. You have to consider the statement to be true, even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions can be drawn from the given statement. Indicate your answer. Statements: 1. You are hereby appointed as a programmer with a probation period of one year and your performance will be reviewed at the end of the period for confirmation. 2. A line in an appointment letter. Assumptions: I. The performance of an individual generally is not known at the time of appointment offer. II. Generally, an individual tries to prove his worth during the probation period.
Option 1: Only assumption I is implicit
Option 2: Only assumption II is implicit
Option 3: Both I and II are implicit
Option 4: Neither I nor II is implicit
Correct Answer: Both I and II are implicit
Solution : According to the given statements – Assumption I: The performance of an individual generally is not known at the time of appointment offer – The probation period is the trial period for freshly recruited employees in a company where the
Question : Which of the following is true about the Indian Desert?
Option 1: Bounded to the west by the Aravalli
Option 2: Lies to the southeast of the Aravalli
Option 3: Lies to the northwest of the Aravalli
Option 4: Bounded to the south by the Aravalli
Correct Answer: Lies to the northwest of the Aravalli
Solution : The correct option is Lies to the northwest of the Aravalli.
The Indian Desert, also known as the Thar Desert, lies to the northwest of the Aravalli Range in North India. It has a hot desert climate with
Question : A shopkeeper sells an article at $13 \frac{1}{2}\%$ loss. If he sells it for INR 1,274 more, then he gains $11\%$. What is the cost price of the article?
Option 1: INR 4,874
Option 2: INR 4,800
Option 3: INR 5,200
Option 4: INR 5,274
Correct Answer: INR 5,200
Solution : Let the cost price be INR $x$. Selling price at a $13 \frac{1}{2}\%$ loss $=(\frac{100-\frac{27}{2}}{100})x=\frac{173x}{200}$ According to the question, $\frac{173x}{200}+1274=\frac{100+11}{100}x$ $⇒\frac{111x}{100}-\frac{173x}{200}=1274$ $⇒\frac{49x}{200}=1274$ $\therefore x =5200$ Hence, the correct answer is INR 5,200.
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