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Which among the following is not an ore of Aluminium (Al)?
Indian railways launched the Rail MADAD mobile app in June 2018. Expand MADAD.
Which of the following satellite is known as the "Big bird"?
Who is the captain of the Hong Kong cricket team?
Which type of lens is used by persons suffering from Hypermetropia?
Atomic mass unit is defined in terms of which of the following?
Which of the martial art dance form belongs to the Punjab region of India?
In the following question, by using which mathematical operators will the expression become correct.
49_7_6_7
Let us check for all option,
1) 49 > 7 > 6 ≥ 7, False
2) 49 = 7 + 6 + 7, False
3) 49 = 7 + 6  7, False
4) 49 = 7 × 6 + 7, True
Hence, "=, ×, +” is the correct set of sign.
Which of the following hydrocarbon is termed as "Fruit ripening gas"?
Six friends Ajay, Goarav, Adharav, Saurav, Pari, and Kashvi are sitting in two parallel rows containing three people each. Ajay, Goarav and Adharav are sitting in row1 facing north and Saurav, Pari and Kashvi are sitting in row2 facing south (but not necessarily in the same order). Thus, each person sitting in row1 face another person sitting in row2. Ajay, Goarav, Saurav and Pari are sitting at extreme ends. Saurav do not face Goarav. Ajay is sitting at extreme right end.
Who is sitting at extreme right of row2?
Note: Left and right end depend on the direction of the people. If people are facing North then the left end will be in the west and the right end will be in East but if people are facing South then left end for them will be in East and right end will be West.
Persons in row 2 are facing South. Hence the right end of row 2 is opposite to the right end of the persons of row 1 who are facing North.
Hence, Pari is sitting at the extreme right of row2.
Direction: Study the following figure and answer the questions given below.
Where, rectangle represent Artists, Circle represent singers and Triangle represents Doctors.
Q. How many doctors are neither artists nor singers?
The section of the triangle that neither intersect with rectangle nor with circle represents the doctors that are neither artists nor singers.
The number of doctors who are neither artists nor singers is 17.
Direction: Study the following figure and answer the questions given below.
Where, rectangle represent Artists, Circle represent singers and Triangle represents Doctors.
Q. Refer to the above question and answer how many doctors are both singers and artists?
The section of the triangle that intersect with both rectangle and circle represents the doctors that are both artists and singers.
The number of doctors who are both singers and artists is 3.
Which of the following is/are effects of Radioactive pollution?
Which of the following jumble words is not the name of the major gases present in Air?
1) TRONIENG = NITROGEN
2) YGENOX = OXYGEN
3) GONRA = ARGON
4) LFIEDIEQU PEROELMUT = LIQUEFIED PETROLEUM (it is not a gas present in air)
Hence LFIEDIQU PEROELMUT is the correct answer.
Direction: Study the following information carefully and answer the question.
A said to B,” A person has to walk 6 km to the south of the point T to reach my house. From point Q one has to walk 10km towards north and then turn 45 degree towards west and walk 6km to reach point T.”
Q. What is the total distance between T and Q?
Direction: Study the following information carefully and answer the question.
A said to B,” A person has to walk 6 km to the south of the point T to reach my house. From point Q one has to walk 10km towards north and then turn 45 degree towards west and walk 6km to reach point T.”
Q. In which direction is A’s house with respect to point Q?
Direction: Read the following information carefully and answer the question that follows:
There are six persons Dheer, Dennise, Dev, Dharmesh, Daniel and David, who got different ranks in an exam. David’s rank was immediately after Dev. Dev’s rank is better than all of them. Dheer got the poorest rank among all. Dharmesh got better rank than three of them. Daniel got a bettar rank than Dennise.
Q. Who got the fifth least rank?
1) David’s rank was immediately after Dev. Dev’s rank is better than all of them.
Dev > David > ….. > ….. > ….. > ……
2) Dheer got the poorest rank among them all.
Dev > David > ….. > ….. > ….. > Dheer
3) Dharmesh got better rank than three of them.
Dev > David > Dharmesh > ….. > ….. > Dheer
4) Daniel got a bettar rank than Dennise.
Dev > David > Dharmesh > Daniel > Dennise > Dheer
Note: Dheer got the least rank, Dennise got second least rank, Daniel got third least rank, Dharmesh got fourth least rank, David got fifth least rank and Dev got sixth least rank.
pH of some common aqueous solutions
Recently India tested a new indigenous airlaunched missile called NGARM. What is strike range of NGARM?
All the six members of a family A, B, C, D, E and F are travelling together. B is the son of C but C is not the mother of B. A and C are a married couple. E is the brother of C. D is the daughter of A. F is the brother of B.
Q. How is F’s mother related to daughter of C?
F’s mother is A.
Daughter of C is D.
Thus, A is mother of D.
Hence, the correct answer is mother.
Pointing to a lady in the photograph, Jaya said, “Her son’s father is the soninlaw of my mother.” How is Jaya related to the lady?
From the given information,
Based on given data, we can draw family tree
Lady’s son’s father is the husband of the lady.
The husband of the lady is the soninlaw of Jaya’s mother.
So, the lady is the daughter of Jaya’s mother.
Thus, Jaya is the sister of the Lady.
Who among the following recently appointed as Chairman of ISRO?
Which of the following Mission will be launched by ISRO to study the Sun?
Direction: In a certain code language ‘festival for woman only’ is written as ’77 78 79 80’, ‘provide peace to woman’ is written as ’81 82 83 78’, ‘woman like to celebrate’ is written as ’78 85 86 81’ and ‘celebrate peace in festival’ is written as ’82 79 87 85’.
Q. What may the possible code for ‘provide idea’ in the given code language?
Code for provide is 83
Code for idea is not given, therefore we will check all the options:
1) 86 89 ⇒ False (code of provide i.e. 83 is not present)
2) 80 79 ⇒ False (code of provide i.e. 83 is not present)
3) 89 83 ⇒ True (83 for provide and 89 for idea is possible because 89 is not given in the above code)
4) 83 80 ⇒ False (Provide is coded as 83 and either for or only is coded as 80)
In a certain code language, GAME is written as FHZBLNDF then BLUE will be?
The pattern for the code is as follows,
Each letter of the given word is replaced by its adjacent letters.
Similarly,
Therefore, BLUE is coded as ACKMTVDF.
So, the answer is option (3).
Find the wrong term in the series.
AA, BD, CI, DR, EY
The pattern followed is:
A = 1 so, 1^{2} = 1 so, 1 = A.
B = 2 so, 2^{2} = 4 so, 4 = D.
C = 3 so, 3^{2} = 9 so, 9 = I.
D = 4 so, 4^{2} = 16 so, 16 = P ≠ R
E = 5 so, 5^{2} = 25 so, 25 = Y.
So, the wrong term is DR.
A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
8, 13, 23, 38, 58, 83, ?
The pattern followed here is:
8 + 5 = 13
13 + 10 = 23
23 + 15 = 38
38 + 20 = 58
58 + 25 = 83
Similarly,
83 + 30 = 113
Hence, 113 is a term which will complete the series.
Out of the four given figures, three figures are similar in a certain way, one figure is not like the others. That means three figures form a group based on some common properties. Find the figure which does not belong to the group.
Image (i): the shaded portion of the central semicircle is in west direction while the = sign bar is in West direction.
Image (ii): the shaded portion of the central semicircle and the = sign bar are in North direction.
Image (iii): the shaded portion of the central semicircle and the = sign bar are in West direction.
Image (iv): the shaded portion of the central semicircle and the = sign bar are in North direction.
In all other figures, shaded portion of the central semicircle and the = sign bar come on the same side except for figure (i).
Hence, figure (i) is the correct answer.
Select the related word from the given alternatives.
Pratibha Patil : First Woman President of India : : C.D.Deshmukh : ?
As Pratibha Patil was the first woman president of India. Similarly, C.D.Deshmukh was the first Indian Governor of RBI.
In the following question find out the alternative which will replace the question mark.
Grapes : Vineyard : : Birds : ?
Vineyard is a place for grape plantation,
Similarly, Aviary is a place for keeping birds.
Hence, the answer is Aviary.
In the following question, select the odd word from the given alternatives.
All except Ounce is the measure of length, but Ounce is measure of weight
Hence, Ounce is odd word.
'NaseemAlBahr' is bilateral naval exercise between India and ________.
Bihu is folk dance from which of the following Indian state?
The Bihu dance is a folk dance from the Indian state of Assam related to the Bihu festival and an important part of Assamese culture.
FIFA Football World Cup of 2022 will be hosted by ________.
FIFA World Cup
The official seal of the Government of India is based on the capital or pillar head of the Ashoka pillar at ________.
Who among the following is known as the Father of Blood Circulation?
Recently which country changed its political capital from Bujumbura to Gitega?
Who received Man Booker International Prize in 2018 for his/her work 'Flights'?
Who among the following Indian female cricket players is first to complete 2000 runs in T20 cricket?
‘Lincoln in the Bardo’ is a book written by ________.
‘Lincoln in the Bardo’ is a book written by George Saunders.
Selfinductance is the phenomenon by which an opposing induced e.m.f. is produced in a coil due to change in the magnetic flux or currently associated with the coil.
We know,
(No negative sign as taking the only magnitude into consideration)
where e is the induced e.m.f.
dI/dt is the rate of change of current in the coil at that instant
L is the selfinductance
or, L= = V −sec/A = Henry(H)
When was the 30^{th} Road Safety Week 2019 observed in india?
30^{th} Road Safety Week 2019 was celebrated in India from 4^{th} Feb to 10^{th} Feb. There had been various awareness campaigns and events which were conducted across the country in all the states. The theme was “Sadak Suraksha Jeevan Raksha”.
Which of the following does resistivity NOT depend on?
If ‘+‘ means ‘÷’, ‘‘ means ‘×‘, ‘÷‘ means ‘+‘ and ‘×’ means ‘‘, then what is the value of 33 + 3  8 + 4 ÷ 10 × 2 × 5?
Given Equation: 33 + 3  8 + 4 ÷ 10 × 2 × 5
Changing operators as given format.
Given expression: 33 + 3  8 + 4 ÷ 10 × 2 × 5
After interchanging symbols: 33 ÷ 3 × 8 ÷ 4 + 10  2  5
= 33 ÷ 3 × 8 ÷ 4 + 10  2  5
= 11 × 2 + 10  2  5
= 22 + 10  7
= 32  7
= 25
Hence, 25 is the correct answer.
In which among the following sensory organs, 'Olfactory Receptors' are present?
Most of the olfactory receptors are found on the superior or external surface of the nasal cavity.
The organ which aids in 'speech' is known as ________.
1. Ear hear
2. Skin touch
3. Eye see
4. Nose smell
Which of the following is not an ore of Magnesium?
How many times do the minute hand and the hour hand come opposite to each other between 5 o'clock and 7 o'clock?
Between 5 o'clock and 7 o'clock, the minute hand and the hour hand will be opposite each other only one time at 6 o'clock. At 6 o'clock, the hour hand is at 6 and the minute hand is at 12.
Thus, between 5 o'clock and 7 o'clock, the minute hand and the hour hand come opposite each other only once.
If a mirror is placed on the line AB, then which of the answer figures is the right image of the given figure?
Hence, option 3 is the correct alternative.
In the following question, select the number which can be placed at the sign of question mark (?) from the given alternatives.
The logic here is as follows,
First row: (4 + 6 + 5) + 1 = 16
Second row: (9 + 8 + 3) + 1 = 21
Similarly,
Third row: (5 + 8 + 7) + 1 = 21
Hence, the missing number is 21.
Of three positive numbers, the ratio of first and second is 4 ∶ 7, that of second and third is 2 ∶ 3. The product of first and third is 4200. What is the sum of the three numbers?
Let the three numbers be x, y and z.
Ratio of x and y = 4 ∶ 7
Ratio of y and z = 2 ∶ 3
Then, x ∶ y ∶ z = 8 ∶ 14 ∶21
Let the three number be 8a, 14a and 21a.
The product of x and z = 4200
⇒ x × z = 4200
⇒ 8a × 21a = 4200
⇒ a^{2} = 25
⇒ a = 5
First number = x = 8a = 40
Second number = y = 14a = 70
Third number = z = 21a = 105
The sum of three numbers = 40 + 70 + 105 = 215
What is the simplified form of 4^{12} × 16^{35} × 64^{15}?
⇒ 4^{12} × 16^{35} × 64^{15}
⇒ 4^{12} × (4^{2})^{35} × (4^{3})^{15}
⇒ 4^{12} × 4^{70} × 4^{45}
⇒ 4^{12 + 70 + 45}
⇒ 4^{127}
Raja and Kundan together can build a wall in 20 days, Kundan and Mahesh can build the same wall in 30 days and Mahesh and Raja can build the same wall in 24 days. In how many days can all three of them complete the same wall while working together?
Work done by Raja and kundan in one day = (1/R) + (1/K) = 1/20
Work done by Mahesh and kundan in one day = (1/M) + (1/K) = 1/30
Work done by Raja and Mahesh in one day = (1/R) + (1/M) = 1/24
Adding the above three equations we get,
⇒ 2{(1/R) + (1/K) + (1/M)} = (1/20) + (1/30) + (1/24) = 15/120 = 1/8
⇒ (1/R) + (1/K) + (1/M) = 1/16
Work done by Raja, kundan and Mahesh in one day = (1/R) + (1/K) + (1/M) = 1/16
∴ They will complete the wall in 16 days while working together
Akash purchased an article at a discount of 40% and sold it to Ram at 40% profit. What is the ratio between the marked price and the price for which he sold?
Let, marked price = Rs. x
Discount = 40%
∴ Cost price = x  x × 40/100 = Rs. 0.6x
Profit = 40%
∴ Selling price,
⇒ 0.6x + 0.6x × 40/100
⇒ 0.84x
∴ Required Ratio,
⇒x ∶ 0.84x
⇒ 100 ∶ 84
⇒ 25 ∶ 21
The average of 11 numbers is 8. If a number 12 is removed, then what will be the new average?
Average of 11 numbers = 8
∴ Sum of 11 numbers = 11 × 8 = 88
After a number 12 is removed
Sum of remaining 10 numbers = 88  12 = 76
∴ Average of remaining 10 numbers
= 76/10
= 7.6
Which answer figure will complete the pattern in the question figure?
According to the given figure:
Hence, (4) consist of appropriate figure which matches the pattern of question figure.
The circumferences of two circles are touching externally. The distance between their centres is 12 cm. The radius of one circle is 7 cm. Find the diameter (in cm) of the other circle.
When two circles touch each other externally, the distance between their centres is equal to the sum of their radiuses,
⇒ Distance = 12 = 7 + Radius of other circle
⇒ Radius of other circle = 12 – 7 = 5
∴ Diameter of other circle = 2(5) = 10 cm
The speed of a train relative to a moving car is 70km/hr more. The car accelerates and starts moving at a speed 10% more than before. Both now travel for 3 hours and the train covers a total distance of 750 km. How much distance did the car travel?
The train covers 750 km in three hours.
The speed of train = 750/3 = 250 km/hr
Initially the train had a relative speed of 70km/hr to the car.
Initial speed of car = 250 – 70 = 180 km/hr
The speed of car now is increased by 10%.
New speed of car = 180 + 18 = 198km/hr
At this speed the car travels for 3 hrs.
∴ The distance travelled by car = 198 × 3 = 594km
J, K and L started a business. Twice the investment of J is equal to five times the investment of K, and the investment of K is twice the investment of L. Find the share of J in a profit of Rs. 16800?
Let J’s investment be = X
Let K’s investment be = Y
Let L’s investment be = Z
According to the problem,
⇒ 2X = 5Y
⇒ Y = 2X/5  (1)
According to the problem,
⇒ Y = 2Z  (2)
From (1) and (2) we get,
⇒ 2Z = 2X/5
⇒ Z = X/5  (3)
∴ Ratio of investment of J, K and L
⇒ X : 2X/5 : X/5 = 5 : 2 : 1
∴ J’s share in this profit, = 16800 × (5/8) = 10500
The monthly salaries of A and B are in the ratio 8 : 9. If they get salary increment of Rs. 4000 each, the ratio of new monthly salaries of A and B becomes 10 : 11. What is the new monthly salary of A?
⇒ Let the monthly salaries of A and B be 8x and 9x respectively
⇒ after increment new salary of A and B be (8x + 4000) and (9x + 4000) respectively
⇒ According to question
⇒ (8x + 4000) / (9x + 4000) = 10 / 11
⇒ 11 ⨯ (8x + 4000) = 10 ⨯ (9x + 4000)
⇒ 88x + 44000 = 90x + 40000
⇒ 2x = 4000
⇒ x = Rs. 2000
∴ New salary of A = 8× 2000 + 4000 = Rs. 20000
Rahul’s salary is 40% more than Mohit’s salary. If Rahul’s salary is increased by 60% and Mohit’s salary is decreased by 20%, then Rahul’s salary will be how much percentage of Mohit’s salary?
Let Mohit’s original salary be 100
Rahul’s original salary (being 40% more than Mohit’s salary) = 100 + (40% of 100) = 100 + 40 = 140
If Rahul’s salary is now increased by 60%, then Rahul’s new salary = 140 + (60% of 140) = 140 + 84 = 224
If Mohit’s salary is decreased by 20%, then Mohit’s new salary = 100  (20% of 140) = 100  20 = 80
To find Rahul’s salary is how much percentage of Mohit’s salary
⇒ 224 = ? % of 80
⇒ ? = (224/80) × 100% = 2.8 × 100% = 280%
∴ Required Percentage = 280%
The speed of the boat in still water is 18 km/hr and the speed of the current is 2 km/hr. If A man rows his boat upstream for 3 hours and downstream for 2 hours. Find the total distance travelled by him?
Let speed of boat in still water is S_{B} and speed of current is S_{C }and Speed of boat in upstream and downstream is S_{U} and S_{D}.
Speed of boat in still water S_{B }= 18 km/hr
Speed of current, S_{C }= 2 km/hr
Speed of boat in upstream, S_{U }= 18  2 = 16 km/hr
Speed of boat in downstream, S_{D }= 18 + 2 = 20 km/hr
∴ Total distance travelled = 3 × 16 + 2 × 20 = 48 + 40 = 88 km
Calculate the value of 0.77777 + 0.7777 + 0.777 + 0.77 + 0.7 + 0.07
0.77777 + 0.7777 + 0.777 + 0.77 + 0.7 + 0.07 = 3.87247
Simple multiplication 3 × 25 = 75. Bracket takes priority over division, multiplication, addition or subtraction.
Hence, (3 × 25 ) ÷ 5  20 × 4 + 75 = 75 ÷ 5  20 × 4 + 75 = 15  20 × 4 + 75.
Multiplication takes priority over addition or subtraction.
Hence, 15  20 × 4 + 75 = 15  80 + 75.
Addition takes priority over subtraction.
Hence, 15  80 + 75 = 90  80 = 10
If 347P is divisible by 9, then what is the value of P?
We know that if the sum of digits in a number is divisible by 9 then the number is divisible by 9.
Now 3 + 4 + 7 + P should be divisible by 9.
So, 14 + P should be divisible by 9.
Also P is a single digit number.
The number after 14 which is divisible by 9 is 18.
So P is = 18  14 = 4.
Who among the following sportspersons has/have been conferred with Dronacharya Awards for the year 2018?
1. Clarence Lobo
2. Sukhdev Singh
3. Vijay Sharma
The Dronacharya Award is a sports coaching honour of India. Following sports persons were conferred with Dronacharya Awards for the year 2018:
Which of the following countries will host the fourth summer youth Olympic Games in 2022?
The simple interest on a sum is 5/9 of the principal for 25 years. What is the rate (in percentage) of interest per annum?
Given that,
S.I = 5/9 P
We know that,
S.I = (P × R × T)/100
⇒ 5/9P = (P × R × 25)/100
⇒ 5/9 × 4 = R
∴ R = 20/9%
A train starts from a place A at 8 : 00 a.m. and arrives at another place B at 1 : 30 p.m. on the same day. If the speed of the train is 30 km/hr, then what will be the distance (in km) covered by the train?
Time taken by train to reach B from A = hours
Distance travelled by the train = Speed × Time
∴ Distance travelled by the train = 30 × 11/2 = 165 km
The cost price of 25 books is equal to the selling price of 20 books. The profit percent is
Let the cost price of each book be Rs. 1.
So C. P. of 20 books = Rs. 25
Profit percent =
If the profit on selling an article for Rs. 425 is the same as the loss on selling it for Rs. 355, then the cost price of the article is
Let the C. P. of the article be Rs. xx
According to question,
425  x = x – 355
2x = 425 + 355 = 780
x =780/2
x = 390
The value of a product depreciates every year at the rate of 10% on its value at the beginning of that year. If the present value of the product is Rs. 7290, its value three years ago was:
Let the required value of product be Rs. y. Then,
Amount before t years, when interest is compounded annually = P(1−R/100)^{t}
y(1−10/100)^{3 }= Rs.7290
Required value, y = Rs. 10000
A 13 m ladder is placed against a wall at a distance of 12 m from the foot of the wall. The same ladder is placed against a wall opposite to the previous wall, such that the upper end of the ladder touches the wall 7 m above the previous point. Find the distance between two walls. Given that the foot of the ladder is at the same position in both cases.
In the given figure, apply Pythagoras theorem
AB^{2} + BE^{2} = AE^{2}
AB^{2 }+ 144 = 169
AB = 5 = CF
Now FD = 7
DC = DF + FC = 5 + 7 = 12
Apply Pythagoras theorem
DC^{2} + EC^{2} = DE^{2}
144 + EC^{2 }= 169
EC = 5 = x
Distance between two walls = 12 + 5 = 17 cm
Read the following passage and find out the inferences stated through the passage.
With growing industrialisation, it is difficult to reduce air pollution. The world is facing serious problems due to air pollution. While the first world countries have fully developed and have contributed the most to air pollution, the third world countries have yet to develop. It would be unfair to put equal restraints on the third world and the first world countries in order to stop pollution.
Q. Which of the following statements can be inferred from the above passage?
The correct answer is option 1. There should be different restraints on the first world and the third world countries to reduce air pollution.
From the passage, we can conclude that the world is facing serious problems due to air pollution, so we need to control it but same restraints cannot be placed on the first world and the third world countries as it would be unfair to the third world countries. It can be said that there is a need to put different restraints on the third world and the first world countries so as to be fair and to reduce the pollution.Hence, option 1 is the correct solution.
Rs. 1000 is lent at a 4% p.a. for 1 year at simple interest. If at the end of the first year, the whole amount is lent at compound interest for 2 years, find the total interest (approx.) incurred in these years.
Amount at the end of first year = P + PRT/100 = 1000 + (1000 × 1 × 4)/100 = Rs. 1040
The formula for CI at annual compound interest, including principal sum, is: CI =
Where:
CI = Compound Interest
P = the principal investment amount (the initial deposit or loan amount)
r = the annual interest rate (decimal)
t = the number of years the money is invested or borrowed
CI = 1040(1 + 4/100)^{2}  1040
CI = Rs. 84.864
Total interest = 84.864 + 40 = Rs. 124.864 ≈ Rs. 125
What is the remainder when (256)^{47} is divided by 15?
We can write, (256)^{47} = (16^{2})^{47} = 16^{94}
Now, when 16 is divided by 15, the remainder is 1
∴ When 16^{94} is divided by 15, the remainder is 1
Two statements are given followed by two conclusions as responses. You have to consider the statements to be true even if they seem to be at variance from the commonly known facts. You have to decide which of the given conclusion(s) can definitely be drawn from the given statements.
Statements:
Conclusions:
Since the disease is caused by the Influenza virus, the government needs to control the spread of the virus to stop the spread of the disease which is stated in conclusion II. Hence conclusion II follows.
There is no information provided in the statement to suggest that the disease is fatal. Therefore, conclusion I cannot be drawn from the given statements and 2 is the right option.
Statements:
I. Recycling is the best way of effectively managing the generation of waste.
II. The Municipal Corporations in Delhi have decided to collect waste to be recycled.
Conclusions:
I. The amount of waste accumulated in Delhi will reduce.
II. People will help the Municipal Corporations in this initiative.
From the given statements, it can be concluded that recycling will help in managing the accumulation of waste and the Municipal Corporations of the city have decided to get the waste recycled. This will cause a reduction in the amount of waste gathered which is what conclusion I states. Conclusion II states the actions of the people of the city which are not mentioned in the statements.
Therefore, option 1 is the right answer.
The table given below represents the amount of education loan (in crores) disbursed by 5 banks of a country over 5 years.
Q. What can be said about the two following ratios?
I. Loan amount disbursed by Bank 1 in 2011/Loan amount disbursed by Bank 2 in 2014
II. Loan amount disbursed by Bank 3 in 2014/Loan amount disbursed by Bank 4 in 2011
Loan amount disbursed by Bank 1 in 2011/Loan amount disbursed by Bank 2 in 2014 can be written as
⇒ 295/122
⇒ Its value is around 2.41
Loan amount disbursed by Bank 3 in 2014/Loan amount disbursed by Bank 4 in 2011 can be written as
⇒ 211/123
⇒ Its value is around 1.71
∴ we can say that I > II
The table given below represents the amount of education loan (in crores) disbursed by 5 banks of a country over 5 years.
Q. Which banks show a continuous trend of increase/decrease in loan amount disbursed over 5 years?
From the table we can observe that
For bank 1 the trend is:
It is continuously increasing
For bank 2 the trend is:
Increasing, decreasing, Increasing, Increasing
For bank 3 the trend is:
Increase, increase, decrease, increase
For bank 4 the trend is:
It is continuously increasing
For bank 5 the trend is:
It is continuously increasing
∴ We can say that for bank 1,4 and 5 there is continuous trend of increasing
The table given below represents the amount of education loan (in crores) disbursed by 5 banks of a country over 5 years.
Q. What is the percentage increase in education loan disbursed by Bank 2 from 2010 to 2014?
Given that loan for bank 2 in 2014 is 122 and for year 2010 it is 65
Percentage increase can be given as
⇒ (122  65) × 100/65
⇒ 87.69%
∴ Percentage increase in loan is 87.69%
Average weight of P and Q is 32 kg. Average weight of Q and R is 43 kg. Average weight of P and R is 51 kg. What is the average weight (in kg) of P, Q and R?
∵ Average weight of P and Q is 32 kg
⇒ Sum of their weight = 2 × 32 = 64
⇒ P + Q = 64 kg (1)
Similarly,
Q + R = 86 kg (2)
P + R = 102 kg (3)
Adding equation (1), (2) and (3)
2P + 2Q + 2R = 64 + 86 + 102 = 252
⇒ P + Q + R = 126 kg
∴ Average weight of P, Q and R = (P + Q + R)/3 = 126/3 = 42 kg
Saka era is a historical calendar era of ancient India. The beginning of the Shaka era corresponds to the rising of Kanishka I in 78 AD.
If a + b + c = 45 and ab + bc + ca = 254. Find the value of a^{2} + b^{2} + c^{2} = ?
∵ (a + b + c)^{2} = a^{2} + b^{2} + c^{2} + 2 (ab + bc + ca)
⇒ (45)^{2} = a^{2} + b^{2} + c^{2} + 2 × (254)
⇒ 2025 = a^{2} + b^{2} + c^{2} + 508
⇒ a^{2} + b^{2} + c^{2} = 2025 – 508
∴ a^{2} + b^{2} + c^{2} = 1517
Harisena was the court poet of Samudragupta. He was a 4th  century Sanskrit poet, panegyrist, and government minister.
Rahul and Ravi undertook to do a piece of work for Rs. 9000. Rahul alone could do the work in the 16 days and Ravi in 24 Days. With the assistance Kamlesh, they finished the work in 8 days. How much money should be given to Kamlesh?
⇒ Work done by Rahul in 8 days = 8 × (1/16) = 1/2
⇒ Work done by Ravi in 8 days = 8 × (1/24) = 1/3
It means, Rahul and Ravi done 1/2 and 1/3^{rd} of work, respectively, in 8 days
⇒ Work done by kamlesh = {1 – (1/2 + 1/3)} = 1 – 5/6 = 1/6
⇒ Rahul’s share: Ravi’s share: Kamlesh’sshare = 1/2 : 1/3 : 1/6 = 3 : 2 : 1
⇒ Kamlesh’s share = (1/6) × 9,000 = 1500
∴ Kamlesh’s share is Rs. 1500
We know that,
a : b :: c : x
Then fourth proportional x = (bc)/a
From the given data,
∴ Fourth proportional x = (8 × 12)/3 = 32
The Statue of Liberty stands in Upper New York Bay, a universal symbol of freedom. Originally conceived as an emblem of the friendship between the people of France and the U.S. and a sign of their mutual desire for liberty
If (x + a) is the H.C.F of 2x^{2} + 5x – 12 and x^{2} + x – 12 then find the value of a.
Factorising (2x2 + 5x  12)
2x2 + 5x  12 = 2x2 + 8x  3x  12 = (x + 4) (2x  3)
Facrtorising (x2 + 5x  12)
x2 + x  12 = x2 + 4x  3x  12 = (x + 4) (x  3)
The HCF of (2x^{2} + 5x  12) and (x^{2} + x  12) = (x + 4)
On comparing (x + 4) and (x + a),
∴ The value of a is 4
If the standard deviation of a population is 6.5, what would be the population variance?
Given standard deviation σ = 6.5
We know that variance is the square of the standard deviation
∴ Variance = (standard deviation)^{2} = (σ)^{2} = 6.5^{2} = 42.25
Which of the following stations has been renamed to 'Prabhadevi'?
The famed Chhatrapati Shivaji Terminus and headquarters of the Central Railway has been renamed by adding 'Maharaj. Western Railway's Elphinstone Road station has been rechristened as 'Prabhadevi' station. The new name 'Prabhadevi' is dedicated to Goddess Prabhavati Devi, whose 12th century idol is installed in the modern temple, now over three centuries old.
Find the greatest number that will divide 390, 495 and 300 without leaving a remainder.
Lets factorize each one them
390 = 2 × 3 × 5 × 13
300 = 2 × 2 × 3 × 5 × 5
495 = 3 × 3 × 5 × 11
Hence we can see only two numbers common two all three are 3 × 5 = 15
∴ 15 is the greatest number that divides 390, 495 and 300 without leaving a remainder.
The numerator and denominator of the fraction are in the ratio 15 : 8, if the numerator of the fraction is decreased by 9 and the denominator is increased by 6 their division gives a quotient of 1.5. Find the fraction.
Let the fraction be (x/y). According to the question, x/y = 15/8 (I)
Now if x is decreased by 9 and y is increased by 6 then the fraction is (x  9)/(y + 6) (II)
According to the problem (x  9)/(y + 6) = 1.5 = 3/2 (III)
From Equation (I), x = (15/8)y (IV)
Putting (IV) in Equation (III) we get
⇒ y = 48
Since y = 48 from Equation (IV) x = (15/8) × 48 = 90
∴ Fraction is 90/48.
In a twodigit number, the digit at the unit’s place is 1 less than twice the digit at the ten’s place. If the places of both digits are interchanged, the new number formed is 27 more than the original number. The original number is
Let the ten’s digit and unit digit of the twodigit number be x and y respectively.
⇒ Two digit number = 10x + y
According to the given information,
y = 2x– 1
⇒ 2x – y = 1 …………………..(i)
If the places of the digits are interchanged,
10y + x = 10x + y + 27
⇒ 9y 9x = 27
⇒ y – x = 3 …………………..(ii)
We get
y = 7
x = 4
∴ The number is 47.
Which of the following words do not exist in the Preamble of the Indian Constitution?
The Preamble was in the news recently because of the word “Secular” which was added to it in 1976 under the 42nd Amendment Act. The other words that were added to the Preamble were “Socialist” and “Integrity” under the same amendment act.
Which of the following articles prohibits discrimination on the grounds of religion, race, sex, caste?
Article 15 prohibit discrimination on grounds of religion ,race, sex, or place of birth. Article 16 provides for Equality of opportunity in matters of public employment. Article 17 provides for Abolition of Untouchability and Article 18 provides for Abolition of titles.
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