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What is the full form of LTE with respect to mobile communication?
In question, select the pair which is different from other three alternatives.
All except Allowpermit are antonyms pairs. Allow is synonyms of permit.
Hence, AllowPermit is the odd pair
A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
B, E, I, N, ?
Given Series: B, E, I, N, ?
The logic followed for the letters:
Hence, the next term will be T.
Select the related letters from the given alternatives.
MSTU : NTVW ∷ LSPR : ?
Relation in MSTU : NTVW is
Similarly;
Hence, “MTRT” is the correct answer
20 kg of a mixture of wheat and husk contains 5% husk. How many kg more of husk must be added to make the husk content 20% in the new mixture?
Given, Husk in 20 kg of mixture = 5% of 20 = 1 kg
Let x kg husk is been added
According to the question,
⇒ 1 + x = 20% of (20 + x)
⇒ 1 + x = (1/5) × (20 + x)
⇒ 5 + 5x = 20 + x
⇒ 4x = 15
⇒ x = 15/4 = 3.75
∴ 3.75 kg of husk must be added.
Which of the following is a Biological method of soil conservation?
Rest all are mechanical methods.
Who was selected as the new President of the World Bank in April 2019?
How many times the hands of the clock coincides in 12 hours.
Here, the hands of the clock coincides for every 1 hour. But between 11 and 12 and 12 and 1, the hands of clock coincides only once that is at 12 : 00.
to prove this we have formula;
30(11) = (11/2)M । 30(0) = (11/2)M (Here zero is 12)
M = 660 / 11 । 0 = 11M
M = 60 । M = 0
i.e; 11 : 60 = 12 : 00 । i.e; 12 : 00
Hence, 11 times the hands of the clock coincides in 12 hours.
Which of the following waves do not require any kind of medium to propagate?
Electromagnetic waves are waves which can travel through the vacuum of outer space. Mechanical waves, unlike electromagnetic waves, require the presence of a material medium in order to transport their energy from one location to another.
Sound waves, Earthquake waves and Water surface waves are examples of mechanical waves while light waves are examples of electromagnetic waves.
Who is the author of the book, ‘The Making of a Legend’?
‘The Making of a Legend’ is written by Sulabh International Chief Bindeshwar Pathak. The book chronicles the life of Prime Minister Narendra Modi. The book was released by RSS chief Mohan Bhagwat on July 12.
A copper wire when bent in the form of a square encloses an area of 121 cm^{2}. If the same wire is bent into the form of a circle, find the area of the circle. (Use π = 22/7)
Area of square = 121 cm^{2}
Let the side of square be ‘a’ cm,
⇒ a^{2 }= 121 cm^{2}
⇒ a = 11 cm
Now, the length of the wire = Perimeter of square
⇒ Length = 4 × 11 = 44 cm
Also, Length of wire = Perimeter of circle
⇒ 2πr = 44 cm
⇒ 2 × 22/7 × r = 44 cm
⇒ r = 7 cm
Area of circle = πr^{2}
∴ Area = 22/7 × 7 × 7 = 154 cm^{2}
Which of the following is the plant hormone that induces cell division?
Cytokinin is the plant hormone that induces cell division. It also plays an important role in coordination of many growth and behavioural processes in the plant's life cycle.
Which of the following gases has the highest solubility in water at room temperature?
100 gm of water can dissolve as much as 52.9 gm of ammonia at 20 degree Celsius and 1 atm pressure. A solution of ammonia in water is called ammonium hydroxide, NH_{4}OH. Ammonia's high solubility in water is due to hydrogen bonding with water molecules.
The addition of a rational number and its reciprocal is 61/30. Calculate the number.
Let the rational number be x
x + (1/x) = 61/30
⇒ 30x^{2}  61x + 30 = 0
⇒ 30x^{2}  25x  36x + 30 = 0
⇒ 5x(6x  5)  6(6x  5) = 0
⇒ (6x  5)(5x  6) = 0
∴ x = 5/6, 6/5
Which of the following laws does not relate to gases?
The famous poem ‘Padmavat’ describing story of Alauddin Khilji and Rani Padmini was written by ________.
Padmavat is an epic poem written in 1540 by Sufi poet Malik Muhammad Jayasi, who wrote it in the Hindustani language of Awadhi, and originally in the Persian Nastaʿlīq script. It is the oldest extant text among the important works in Awadhi.
Goldilocks zone is associated with which of the following?
Goldilocks region is an area of space in which a planet is just the right distance from its home star so that its surface is neither too hot nor too cold. Earth lies in the Goldilocks zone.
Direction: Arrange the given words in the order in which they will be arranged in a dictionary and choose the one that comes fourth.
Native, Narrow, Nation, Natural
In all the words “Na” is in common. The next letters are r, t.
So Narrow comes first.
And “Nat” is common in Native, Nation and Natural.
So in this the letter “i” comes first than “u”, but with “ï” again we have two words those are Native and Nation. So here “Nati” is common.
Consider the next letter that is “o “ comes first than “v“. Hence Nation will be the second word and Native will be third.
And Natural will be fourth.
Finally, dictionary order:
Narrow, Nation, Native, Natural.
Hence, Natural becomes fourth.
Find the wrong term in the series.
C, E, G, Q, U
The series consists of prime position of alphabet.
C = 3
E = 5
G = 7
Q = 17
U = 21 (this is not a prime position)
So, the wrong term is U.
Ramesh walks 8 km towards the north. From there he takes a right turn and walks 9 km. Then he takes a left turn and walks 5 km. Finally, he takes a left turn and walks 12 km. In which direction is he now with respect to the starting point?
As per the given information,
Hence, Ramesh is now facing to the Northwest direction, with respect to the starting point.
In which of the following states India’s longest expressway has been inaugurated?
The Agra Lucknow Expressway is a 302 km controlledaccess highway or expressway, constructed by the Uttar Pradesh Expressways Industrial Development Authority. It is India’s longest expressway.
In the following question, find out the alternative which will replace the question mark.
Fish : School ∷ ? : Army
A group of fishes is known as School.
Similarly, a group of frogs is known as Army.
Hence Frogs is the answer.
Choose the word which is different from the rest.
Alluvial, Regur and Laterie are types of soil
Whereas clay is the component of soil.
Hence, Clay is the odd term.
Direction: The given pie chart represents the annual yield of certain crops in tons (in degree). Study the chart carefully and answer the following question.
Q. If the total production is 9000 tons, then the yield of rice in tons is.
360° = 9000 tons
⇒ 1° = 25 tons
Now rice = 40°
⇒ rice = 40 × 25 = 1000
∴ yield of rice = 1000 tons
Which of the following numbers represent triangle and circle only?
1) 3 → represents triangle and rectangle.
2) 7 → represents circle and rectangle.
3) 4 and 5 → 4 represents triangle, circle and rectangle, whereas 5 represents triangle and circle.
As number which represents triangle and circle is number 5.
Hence mark your answer as “None of the above”.
Which of the following books had Chand Bardai written?
Chand Bardai was an Indian poet, who composed Prithviraj Raso, an epic poem in Brajbhasa about the life of the Chahamana king Prithviraj Chauhan. The poem presents him as a court poet of Prithviraj.
Which of the following is the chemical name of common salt?
Sodium Chloride is the chemical name of common salt. It is formed when Sodium and Chlorine react with each other to give this salt and water.
The shadow of a tower standing on a level ground is found to be 40 metre longer when the suns altitude is 30° than when it is 60°. Find the length of the tower.
We have CD = 40 m.
In ΔABC,
tan 60 = AB/BC
⇒ √3 = AB/BC
⇒ AB = √3 BC
Now, we have
In ΔABD,
⇒ tan 30 = AB/(BC + 40)
⇒ BC + 40 = 3 BC
⇒ BC = 20 m.
Hence, AB = √3 BC
⇒ AB = 20√3 m.
Roshan’s current age is 2 years less than 1.6 times that of Usha’s. 8 years ago, Usha’s age was 1 year more than half of Roshan’s age 8 years ago. What is Roshan’s present age in years?
Let Roshan’s age be x and Usha’s age be y
Roshan’s current age is 2 years less than 1.6 times that of Usha’s,
⇒ x = 1.6y – 2
⇒ 8y – 5x = 10 (1)
8 years ago, Usha’s age was 1 year more than half of Roshan’s age 8 years ago,
⇒ 2y – x = 10
⇒ 8y – 4x = 40 (2)
From (1) and (2) we get,
⇒ 5x – 4x = 40 – 10
⇒ x = 30
∴ Roshan’s present age = 30 years
Directions: In the question below is given a statement followed by two assumptions numbered I and II. You have to consider the statement and the following assumptions and decide which of the assumptions is implicit in the statement.
Statement: Neither my sister nor my brother is particularly interesting.
Assumption I: My brother is interesting.
Assumption II: My sister is more interesting than my brother.
From the statement, it is clear that both the brother as well as sister are not interesting(boring). Hence both the assumptions are invalid as one says that the brother is interesting and the other talks about who is more interesting.
Which answer figure will complete the pattern in the following question figure.
The, downward part is reversed of the upper part. The portion shaded in upper part is not shaded in lower part and the part not shaded in upper part is shaded in lower part.
∴ (1/2)  cot45° = (1/2)  1 = 1/2
The population of a town is 350000. It increases annually at the rate of 20%. What will be the population after 2 years?
If the current population of a town is P and it increases at a rate of R% per annum, then,
Population after n years = P × (1 + R/100)^{2}
Given, P = 350000, R = 20%,
∴ Population after 2 years = 350000 × (1 + 20/100)^{2} = 350000 × 1.44 = 504000
A natural number, when divided by 3, 4, 6 and 7, leaves a remainder of 2 in each case. What is the smallest of all such numbers?
⇒ LCM of 3, 4, 6 and 7 = 3 × 2^{2} × 7 = 84
∴ The required number = 84 + 2 = 86
Pointing to a girl in the food court, Prem said, “She is the daughter of the only son of my mother’s father”. How is the girl’s mother related to Prem’s mother?
Below table represents symbols used to draw a family tree,
According to the given information, we get the following tree diagram.
Hence, girl’s mother is sisterinlaw to Prem’s mother.
Which of the forces combine together to keep planets in their respective orbits?
Gravitation and Centrifugal force combine together to keep planets in their respective orbits so that they don’t collide with each other.
Which planet is the hottest planet in our solar system?
Venus is the hottest planet in our solar system. The reason that Venus is hotter than Mercury is that it has an atmosphere made of carbon dioxide; it also has clouds of acid inside its atmosphere.
In the following question, four number pairs are given. The number on left side of () is related to the number on the right side of () with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.
1) 14  196 → 14  14^{2}
2) 16  256 → 16  16^{2}
3) 18  324 → 18  18^{2}
4) 22  464 → 22  464
Hence, 22  464 is the odd one out.
The Bhupen Hazarika Setu or Dhola – Sadiya Bridge is a beam bridge in India, connecting the northeast states of Assam and Arunachal Pradesh. Its length is 9.15 kilometres (5.69 mi) in length and is the longest bridge in India.
The ratio of sand to gravel in a mixture is 17 : 8 while that between gravel and cement is 6 : 17. What is the ratio of sand to cement in the mixture?
Ratio between sand and gravel = 17 : 8
Ratio between gravel and cement = 6 : 17
To get combined ratio, we can write
∴ Sand ∶ Cement = 102 : 136 = 3 : 4
What is the average of all even natural numbers upto 100?
Average of numbers = Sum of numbers/ Total numbers
The numbers are 2, 4, 6, 8, 10…,100
Using the formula of AP, number of terms in an AP with difference ‘d’ and first term ‘a’ is given by
N^{th} term = a + (n  1)d
Here N is 100, 100 = 2 + (n  1)2 ⇒ n = 50
Sum of n terms of an AP = n/2(2a + (n  1)d)
Here n is 50, sum = (50/2) × (2 × 2 + (49) × 2) = 2550
Sum of first 50 natural numbers = 2550
Average = 2550/50 = 51
If the selling price of 10 articles is equal to the cost price of 15 articles, then what is the profit percent?
Selling price = S.P
Cost price = C.P
Selling price of 10 article = cost price of 15 article
⇒ 10 S.P = 15 C.P
⇒ S.P = 1.5 C.P
Profit percentage = (profit/C.P) × 100 = {(S.P  C.P)/C.P} × 100 = {(1.5 C.P  C.P)/C.P} × 100 = 0.5 × 100 = 50%
There are six students, P, Q, R, S, T and U who have a different number of pens  2, 4, 5, 7, 9 and 12 (not necessarily in the same order). The number of pens Q has is a prime number. U has 2 more pens than Q. The number of pens R has is a multiple of 4 but not a multiple of 3. P has fewer pens than Q but has more pens than S. Who has the highest number of pens?
Students: P, Q, R, S, T and U.
No. of pens: 2, 4, 5, 7, 9 and 12 (not necessarily in the same order).
1) The number of pens Q has is a prime number.
2) U has 2 more pens than Q.
3) The number of pens R has is a multiple of 4 but not a multiple of 3.
(So, R has 4 pens only.)
4) P has fewer pens than Q but has more pens than S.
(P cannot have 2 pens as S has fewer pens than P.
So, P has 5 pens and S has 2 pens.)
(So, T has 12 pens.)
Final arrangement:
Hence, T has the highest number of pens.
Rearrange the jumbledup letters in their natural sequence and find the odd one out.
1) ROWARPS → SPARROW
2) TRSOICH → OSTRICH
3) ELAGE → EAGLE
4) EGONIP → PIGEON
Sparrow, Eagle and Pigeon are birds which can fly. But, Ostrich is a flightless bird.
Hence, “Ostrich” is the correct alternatives.
Which of the following is the Controlling Centre of the Cell?
The nucleus maintains the integrity of genes and controls the activities of the cell by regulating gene expressionthe nucleus is, therefore, the controlling centre of the cell.
ΔPQR ≅ ΔXYZ and PQ = 5.6 cm and XY = 8.4 cm. If perimeter of ΔXYZ = 24 cm, what will be the perimeter of ΔPQR?
According to problem,
⇒ Perimeter of ΔPQR = 24 × 5.6/8.4
⇒ Perimeter of ΔPQR = 16
If Newspaper is Magazine, Magazine is Book, Book is Notebook, Notebook is Pencil, and Pencil is Eraser. What will be used for writing?
For writing, we use pencil,
And here pencil is denoted by eraser.
Hence, ‘Eraser’ is the correct answer.
Which of the following rocks is made up of lava and magma?
Igneous rock is one of the three main rock types, the others being sedimentary and metamorphic. It is formed through the cooling and solidification of magma or lava.
The Year of the Runaways was written by _________.
A story about the lives of three Indian men and a BritishIndian woman in the city puts the most urgent questions of the day in a human context
A man invested Rs. 2000 in a scheme offering 20% return at S.I for first 2 years and 25% return for next 2 years and 15% return for next 3 years. Find total interest received.
Interest received for first 2 years = (2000 × 20 × 2)/100 = 800
Interest received for next 2 years = (2000 × 25 × 2)/100 = 1000
Interest received for next 3 years = (2000 × 15 × 3)/100 = 900
Total interest received = 800 + 1000 + 900 = 2700
Ghoomar is a traditional folk dance of Rajasthan, India and Sindh‚ Pakistan. The dance is chiefly performed by veiled women who wear flowing dresses called ghaghara. The dance typically involves performers pirouetting while moving in and out of a wide circle. The word ghoomna describes the twirling movement of the dancers and is the basis of the word ghoomar. Ghoomar is often performed on special occasions, such as at weddings and during Holi and sometimes lasts for hours.
Which of the following rivers originate from Aravalli ranges?
River Sabarmati originates from the Aravalli ranges in the Udaipur district of Rajasthan and ends in the Gulf of Khambat of Arabian Sea.
Directions: In making decisions about important questions, it is desirable to be able to distinguish between strong and weak arguments. Strong arguments are those, which are both important and directly related to the question. Weak arguments are those, which are of minor importance and also may not be directly related to the question or may be related to a trivial aspect of the question. The question below is followed by two arguments numbered I and II. You have to decide which of the arguments, strong argument is and which weak argument is.
Statement: Should the Indian government free all the prisoners of war?
Arguments:
I. No, they are the proof of bravery, power, and strength of the army.
II. Yes, war is over they are civilians with freedom and rights.
Once a war is over the prisoners of war cannot be used as 'the proof of bravery, power, and strength of the army'. Argument I is vague and hence does not follow.
Argument 1 states that once the war is over the prisoners of war should be freed as they are 'are civilians with freedom and rights' which is a strong reason, hence argument II follows.
In the following questions, in four out of the given five pairs of figures, figure I is related to figure II in the same particular manner. Spell out the pair in which this relationship does not exist between figure I and II.
In each pair of I and II figure the II figure is a mirror image of figure I.
In the figure given below, the figure II is not the mirror image of figure I.
Hence, option 4) represents the correct answer.
In the following question, select the number which can be placed at the sign of question mark (?) from the given alternatives.
The pattern followed here is:
4 × 3 = 12; 5 × 2 = 10, 12 + 10 = 22
3 × 5 = 15; 2 × 6 = 12, 15 + 12 = 27
So, 2 × 7 = 14; 8 × 4 = 32, 14 + 32 = 46
Thus, 27 is the correct answer.
In the following figure Rectangle represents Bake, Circle represents Grill, Triangle represents roast, and Square represents fry. Which set of letter(s) represent(s) grill and roast but not fry.
1) Rectangle represents Bake.
2) Circle represents Grill.
3) Triangle represents Roast.
4) Square represents Fry.
Set of letter(s) that represents grill and roast but not fry i.e. letter that represents circle and triangle but not square which is letter “G”.
Hence, “G” is the correct answer.
DNA, full form is Deoxyribonucleic acid, is a molecule that contains the instructions an organism needs to develop, live and reproduce.
In a certain code ‘GLASS’ can be written as ‘312353232’ and ‘SHAKE’ can be written as ‘326513’. How is ‘LAKES’ written in that code?
The codes have been assigned as follows,
Similarly,
Hence, 2351332 is the answer.
Electromagnetic induction is the production of voltage or electromotive force due to a change in the magnetic field. Faraday discovered electromagnetic induction, the principle behind the electric transformer and generator.
Mule is a hybrid between a male donkey and a female horse.
The scientific name of Mule is Equus mulus.
If a mirror is placed on the line AB, then which of the answer figures is the right image of the given figure?
The mirror image of given figure is as follows,
Hence, correct answer is figure 3.
If '+' means '×', '–' means '÷', '×' means '–' and '÷' means '+', then 26 – 52 + 74 = ?
Given, '+' means '×', '–' means '÷', '×' means '–' and '÷' means '+'.
So,
26 − 52 + 74 → 26 ÷ 52 × 74
= 1/2 * 74
= 37
Thus, 37 is the correct alternative.
In the following question, find out the alternative which will replace the question mark.
26^{th} January : Indian Republic Day ∷ ? : World Water Day
India on 26^{th} January is observed as the Indian Republic Day.
Similarly, World water day is observed every year on every 22^{nd} March.
Hence 22^{nd} March is the answer.
To go a certain distance of 40 km upstream a rower takes 8 hours while it takes her only 5 hours to row the same distance downstream. What was the rower’s speed in still water?
Let x be the rower’s speed and y be the current speed of water.
Speed while going upstream = (x –y)
⇒ 40/ (x – y) = 8
⇒ x – y = 5  (1)
Now speed while going downstream = (x + y)
⇒ 40/ (x + y) = 5
⇒ x + y = 8 (2)
From equation 1 and 2 we get
x = 6.5 km/hr
∴ Rower’s speed = 6.5 km/hr
If 3 means 2, 10 means 16, 88 means 8, 74 means 4 and 99 means 45. What would be value of 88 + 99  74 × 10 ÷ 3?
Given: 88 + 99  74 × 10 ÷ 3
Using BODMAS
8 + 45  4 × 16 ÷ 2
8 + 45  4 × 8
8 + 45  32
= 21
Hence, the correct answer is 21.
Given that, a  1/a = 1
∴ a^{2} + 1/a^{2} = 3
Which among the following is used in making liquors, medicines and as a fuel in aircrafts?
Ethyl alcohol is an important industrial chemical. It is used as a solvent, in the synthesis of other organic chemicals, and as an additive to automotive gasoline (forming a mixture known as a gasohol). It is present in a lot of things we use on a daily basis, ranging from perfumes to alcoholic beverages.
Let the number be ‘x’.
80% of a number is 100,
⇒ x × 80/100 = 100
⇒ x = (100 × 100)/80 = 125
How much does one need to add to 2/3 to obtain 3/2?
Let ‘?’ be added,
⇒ ? + 2/3 = 3/2
⇒ ? = 5/6
Which of the following is used for making Rs. 1 coins?
Rs. 1 Coin has the following characteristics
Note: There are different sources which are giving different answers and The answer to this question can also be referred from the RBI website.
In classical mechanics, impulse is the integral of a force, F, over the time interval, t, for which it acts. Since force is a vector quantity, impulse is also a vector in the same direction. Its SI unit is Newton second.
If the sum of two numbers is 25 and their product is 156. Find the larger number.
Let the larger number be ‘x’
Smaller number = 25  x
Product = x(25  x) = 156
⇒ 25x  x^{2} = 156
⇒ x^{2}  25x + 156 = 0
⇒ x^{2}  12x  13x + 156 = 0
⇒ x (x  12)  13(x  12) = 0
⇒ (x  12)(x  13) = 0
⇒ x = 12, 13
Smaller number = 25  x = 13, 12
∵ x is the larger number
∴ The larger number = 13
Which Railway Station has become the first ever railway station in the Indian Railways to get an ISO certification from NGT for providing passenger amenities in a clean and green environment?
Vitamin C helps in the absorption of which of the following mineral?
Vitamin C plays a pivotal role in the absorption of iron from various dietary sources.
A thing or event in our environment which triggers our response is called:
A stimulus is something that causes a physiological response.
A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
31, 28, 31, 30, 31, 30, 31, ________, 30
The relation among given numbers is the number of days in the Georgian calendar in the month:
1 → January → 31
2 → February → 28
3 → March → 31
4 → April → 30
5 → May → 31
6 → June → 30
7 → July → 31
8 → August → 31
9 → September → 30
Hence, “31” is the missing term.
The common name of Magnesium Sulphate heptahydrate is
Magnesium sulfate is an inorganic salt containing magnesium, sulfur and oxygen with the formula MgSO4. It is often encountered as the heptahydrate sulfate mineral epsomite commonly called Epsom salt.
The focal length of a plane mirror is infinity as the image can be formed at infinite distance inside the mirror.
Unit digit of 12^{1} = 2
Unit digit of 12^{2} = 4
Unit digit of 12^{3} = 8
Unit digit of 12^{4} = 6
Unit digit of 12^{5} = 2
Same unit digit repeats after every 4^{th} power
∴ Unit digit of 12^{81} = (12^{4})^{20} × 12^{1 }= 2
Unit digit of 13^{1} = 3
Unit digit of 13^{2} = 9
Unit digit of 13^{3} = 7
Unit digit of 13^{4} = 1
Unit digit of 13^{5} = 3
Same unit digit repeats after every 4^{th} power
∴ Unit digit of 13^{87} = (13^{4})^{21} × 13^{3} = 7
∴ Unit digit of 12^{81} × 13^{87} = unit digit of (2 × 7) = 4
Let the mean proportion be x
Therefore, 16 : x = x : 25
⇒ x × x = 16 × 25
⇒ x^{2} = 400
⇒ x = 20
Ronaldo is a Portuguese professional footballer who plays for Spanish club Real Madrid and the Portugal national team. He is a forward and serves as captain for Portugal.
What happens when an electric current is passed through a wire?
When a current passes through a wire, a part of the electrical energy is converted into heat energy as a result of some resistance experienced by it and as a result the wire gets heated. This is known as heating effect of electric current.
Direction: Study the table given below and answer the following question.
Based on the given data, the percentage of literates in city A is _________.
Population of city A = 200
No. of literates in city A = 150
∴ Percentage of literates in city A = 150/200 × 100 = 75%
(62% of 650) + (45% of 340) = (62/100) × 650 + (45/100) × 340 = 556
Find the standard deviation of 15, 20, 18, 22, 25.
Given Number are 15, 20, 18, 22 and 25
⇒ Mean = (15 + 20 + 18 + 22 + 25)/5 = 100/5 = 20
⇒ Standard deviation = √(58/5) = √11.6
Who among the following actresses played the role of Priyanka Gandhi in movie Accidental Prime Minister?
Actress Aahana Kumra, who is known for her work in the TV industry, is playing Priyanka Gandhi in The Accidental Prime Minister.
By BODMAS,
⇒ {30 – (12 × 8 ÷ 2 ÷ 3)} = ?
⇒ {30 – (12 × 4 ÷ 3)} = ?
⇒ {30 – (12 × 4 ÷ 3)} = ?
∴ ? = 14
An article having marked price of Rs. 4300 is sold at a discount of 17%. What is the selling price (in Rs.) of the article?
Marked Price = 4300
Discount = 17%
⇒ SP = 4300  0.17 × 4300 = 3569
∴ Selling Price = Rs. 3569
A train, 200 meters long, is running at a speed of 30 meter per second. It will cross a bridge of 523 meters long in ... seconds
Train length = 200 meter
Train speed = 30 m/s
Length of bridge = 523 meter
According to the question,
∴ Time taken by a 200 m long train to cross a bridge of 523 m
⇒ (523 + 200)/30 = 24.1 seconds
A piece of paper is folded and punched as shown below in the question figures. From the given answer figures, indicate how it will appear when opened.
Hence, option 1 is the correct figure.
The amount received at 10% per annum compound interest after 3 yrs is Rs. 10,648. What was the principal (in Rs.)?
We have,
Amount = Principal × (1 + Rate/100)^{time}
⇒ 10648 = Principal × (1 + 10/100)^{3}
⇒ 10648 = 1.331 × Principal
⇒ Principal = 10648/1.331 = 8000
In which year was the first electric train rolled in India?
The first electric train ran in India started with the inauguration of services between Bombay VT and Kurla Harbour on 3rd Feb 1925 on exGIP Railway system.
The green colours seen in the fireworks is due to the presence of ________.
A, B and C can complete a task together in 8 days. A and B would need 16 days if only the two of them worked, while A and C would take 12 days if only the two of them worked. If A worked alone, how many days would A take to compete the task?
(A + B + C) can complete a work in = 8 days
⇒ (A + B + C)’s 1 day’s work = 1/8
(A + B) can complete a work in = 16 days
⇒ (A + B)’s 1 day’s work = 1/16
⇒ C’s 1 day’s work = 1/8 – 1/16 = 1/16
(A + C) can complete a work in = 12 days
⇒ (A + C)’s 1 day’s work = 1/12
⇒ A’s 1 day’s work = 1/12 – 1/16 = 1/48
∴ A takes 48 days to complete the work alone.
How many brackets would you remove from the equation to make it correct?
{(16  8 + 2 × 4) ÷ 8  9  3 + 6} × 5 = (32 + 4) × 3 + 12  105
Removing inside bracket in LHS will satisfy the equation.
Given equation: {(16  8 + 2 × 4) ÷ 8  9  3 + 6} × 5 = (32 + 4) × 3 + 12  105
After removing inside bracket of LHS we get,
(16  8 + 2 × 4 ÷ 8  9  3 + 6) × 5 = (32 + 4) × 3 + 12  105
(16  8 + 2 × 1 ÷ 2  9  3 + 6) × 5 = 36 × 3 + 12  105
(16  8 + 1  9  3 + 6) × 5 = 36 × 3 + 12  105
(16 + 1 + 6  8  9  3) × 5 = 36 × 3 + 12  105
(23  20) × 5 = 36 × 3 + 12  105
(23  20) × 5 = 108 + 12  105
3 × 5 = 120  105
15 = 15
LHS = RHS
Hence option 1) is correct.
Rotavac vaccine protects against which of the following diseases?
The Rotavac vaccine, developed by the Bharat Biotech Limited, was included in India’s national immunisation programme. Rotavac vaccine protects against childhood diarrhoea caused by rotavirus infections.
Directions: A statement is given followed by two inferences 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 inferences, if any, follow from the given statement.
Statement:
Exercising daily is recommended for good physical and mental health.
Inferences:
1. Exercising alone will keep one disease free.
2. Exercising daily, refreshes body and mind and helps us stay fit.
It is can be understood that exercising is good for mind and body but exercising solely cannot keep one disease free. Thus, inference I does not follow.
We know that the statement speaks of physical and mental health, thus it can be inferred that exercising daily will refresh the mind and body keeping it healthy and fit.
Thus, only inference II follows and option 2 is correct.
Average of 31 numbers is 19. If the average of first 8 numbers is 24, then what is the average of the remaining numbers?
Average of 31 number = Sum of 31 number/31
⇒ 19 = sum of 31 number/31
⇒ Sum of 31 number = 589
Now,
Average of 8 numbers = sum of 8 number/8
⇒ 24 = sum of 8 numbers/8
⇒ Sum of 8 numbers = 192
Now,
Sum of remaining numbers = 589  192 = 397
∴ Average = 397/23 = 17.26
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