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Fintech company Alphaniti partnered with which of the following to allow investors to invest and trade in stock offerings?
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Who became the youngest Indian to win a Super 100 tournament to claim the womens singles title of Odisha Open badminton tournament?
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Recently centre has approved renaming of Hoshangabad Nagar as “Narmadapuram”, Shivpuri as “Kundeshwar Dham” and Babai as “Makhan Nagar”..In which state they are located?
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Which state s Directorate of National Cadet Corps (NCC) has won the Prime Ministers banner at the Republic Day Camp?
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How much amount was released by Finance Ministry to 17 states as Post Devolution Revenue Deficit Grant?
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GAIL (India) Limited has commenced India s firstofitskind project of mixing hydrogen into the natural gas system in which city?
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As of January 2022, which city got Indias largest electric vehicle (EV) charging station, with 100 charging points for fourwheelers?
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Which will be the first station to be constructed between Mumbai Ahmedabad route?
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ecently KVIC cancelled license of oldest Khadi Institution “Khadi Emporium” in Which city?
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Who has been appointed as the new director of National Council of Educational Research and Training (NCERT)?
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How much amount has been allocated during the current year (202122) for Jal Jeevan Mission to provide every household with tap water?
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A, B and C have the money in ratio 3: 4: 5, if B gives 400 to C the ratio of amount A, B and C have becomes 5: 6: 9. Find the initial total amounts that A, B and C have?
Initially A, B and C have 3x, 4x and 5x respectively.
B gives 400 to C now ratio is 5: 6: 9
So, 4x – 400 = 6y and 5x + 400 = 9y
x = (5/3) y and y = 600.
So, final amount of A, B and C are 3000, 3600, 5400
Initial amount = 3000, 4000, 5000. Therefore, total sum = (3000 + 4000 + 5000) =12000
If x $ y = (x + y + xy 1) (x + y + xy + , then the value of (4 $ 5) is.
As per the definition of $, (4 $ 5) would be (4 + 5 + 4 × 5  1) (4 + 5 + 4 × 5 + 1) = 840. So,
answer is (b)
The diagonal of a rectangle is V21 cm and its area is 50 sq. cm. What is the perimeter of the rectangle?
For a rectangle, d^{2} = l^{2} + b^{2}
where l= length, b = breadth and d = diagonal of the of the rectangle
d = √21
d^{2} = l^{2} + b^{2}
(l^{2} + b^{2} = 21) (1)
Area = l x b = 50 (2)
[(a + b)^{2} = a^{2} + b^{2} + lab]
Using the above formula, we have
(l + b)^{2} = l^{2} + b^{2} + 2lb
(l + b)^{2} = 21 + 2 x 50 [from (1) and (2)]
(l + b)^{2} = 121
(l + b) = 11
Perimeter of rectangle = 2(l + b)
= 2(11) = 22 cm
A, B and C have 40, x and y balls with them respectively. If B gives 20 balls to A, he is left with half as many balls as C. If together they had 60 more balls, each of them would have had 100 balls on an average. What is the ratio of x to y?
Given, (40+x+y+60)/3=100
x + y =200 ………… (eq.1)
x – 20 = y/2 2x – y = 40 …………. (eq.2)
Solving 1 and 2 We get x= 80, y=120.
Ratio of x: y = 2: 3
An Employer pays Rs. 15 for each day a worker works, and forfeits Rs. 5 for each day he is idle. At the end of 40 days, a worker gets Rs. 160. For how many days did the worker remain idle?
Suppose the worker remained idle for x days. Then, He worked for (40 – x) days.
=15 (40 – x) – 5x =160
60015x5x=160
20x = 600 160
20x =440 x = 22.
An error 3% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:
Let 100 cm is read as 103 cm.
Area 100*100=10000
Error area 103*103=10609
Diff=609.
%ge error= (609/10000)*100 =6.09%.
The average age of a family of 6 members is 20 years. If the age of the youngest member be 5 years, the average age of the family at the birth of the youngest member was?
Total present age of the family (6*20) = 120 yrs
Total age of the family 5 years ago = (120 – 6*5) = 90 years
At that time, Total members in the family = 5
Therefore Average age at that time = 90/5 = 18 yrs..
Jyoti bought two varieties of pulses, costing Rs 50 per kg and Rs 60 per kg each, and mixed them in some ratio. Then she sold the mixture at Rs 70 per kg, making a profit of 20 percent. What was the ratio of the mixture?
Let 1: k be the ratio in which Jyoti mixed the two types of pulses.
Then a sample of (1+k) kg of the mixture should equal 1 kg of pulses of the first type and k kg of pulses of the second type.
The pulses of the first type cost 50 Rs a kg and that of the second type costs 60 rupees a kg. Hence, it cost him: (1 kg 50 rupees per kg) + (k kg 60 rupees per kg) = 50 + 60k
Since she sold the mixture at 70 rupees per kg, he must have sold the net (1+k) kg of the mixture at 70(1+k).
Since she earned 20% profit doing this, 70(1+k) must be 20% more than 50+60k.
Hence, we have the equation
So, the required ratio be 1: 5
In a class of 70 students, a boy is ranked 18th When five boys joined, his rank was dropped by two. What is his new rank from the end?
After 5 boys joined, total strength of class = 70 + 5 = 75
As rank was dropped by two from 18th rank, new rank is 20.
Rank of the boy from the beginning = 20
Number of students below his rank = 75  20 = 55
Rank from the end = (75 20) + 1 = 56
In a rare coin collection, there is one gold coin for every four nongold coins. 5 more gold coins are added to the collection and the ratio of gold coins to nongold coins would be 1: 3. Based on the information, the total number of coins in the collection now becomes
At Start: x gold coins; 4x nongold coins
Add 5: x+ 5 gold; 4x nongold
Then, according to the given ratio
3 × number of gold coins = number of nongold coins
3(x+5) = 4x
3x + 15 = 4x
x = 15
Total number of gold is x+ 5 = 15 + 5 = 20
Total number of nongold is 4x = 80
Total number of coins is 100
Ram is younger to Harsh by 9 years. If their ages are in the respective ratio of 4:5, how old is Ram?
Let Harsh's age be x years.
Then, Ram’s age = (x  9) years.
(x  9)/x = 4/5
x = 45
Hence, Ram's age = (x  9) = 36 years.
In 10 years, A will be thrice as old as B was 5 years ago. If A is now 9 years older than B, the present age of B is:
Let B's present age = x years.
Then, A's present age = (x + 9) years.
(x + 9) + 10 = 3(x  5)
⇒ x + 19 = 3x  15
⇒ x =17
A and B enter into a partnership and A invests Rs. 15,000 in the partnership. At the end of 3 months, he withdraws Rs.5000. At the end of another 5 months, he withdraws another Rs.5000. If B receives Rs. 12,000 as his share of the total profit of Rs. 23,500 for the year, how much did B invest in the company?
The total profit for the year is 23,500. Of this B gets Rs. 12,000. Therefore, A would get (23,500−12,000) =Rs. 11,500
The partners split their profits in the ratio of their investments. Therefore, the ratio of the investments of,
A: B= 11500:12000 = 23:24.
A invested Rs.15000 initially for a period of 3 months. Then, he withdrew Rs.5000.
Hence, his investment has reduced to Rs.10000 (for the next 5 months).
Then he withdraws another Rs.5000.
Hence, his investment will stand reduced to Rs.5000 during the last four months.
So, the amount of money that he had invested in the company on a moneymonth basis will be,
= (3 x 15000) + (5x 10000) + (4 x 5000)
= 45000+50000+20000 =115000
If A had 1,15,000 money months invested in the company, B would have had 1,20,000 money months invested in the company (as the ratio of their investments is 23:24). If B had 120000 moneymonths invested in the company, he has essentially invested
1,20,000/12 =10,000
In an exam out of 1800 students, 65% boys and 80% girls are passed. If total pass percentage was 75%, how many girls appeared in the exam and how many girls failed?
from the question, we get the question
x = 600
So, the number of girls (1800 600) = 1200
Each of the 350 members in a society is required to sign up for a minimum of one and a maximum of three clubs. The three clubs to choose from are the painting club, the singing club, and the dancing club. A total of 174 peoples sign up for the dancing club, 126 students for the singing club, and 174 students for the painting club. If 114 students sign up for exactly two clubs, how many students sign up for all three clubs?
A man completes a journey in 14 hrs. He travels first half of journey at the rate of 15 km/h and the second half at the rate of 20 km/h. Find the total journey in km.
According, to question,
The incomes of A, B, C are in the ratio of 12: 9: 7 and their spending are in the ratio 15: 9: 8. If A saves 25% of his income. What is the ratio of the savings of A, B and C respectively?
Let the income be 12x, 9x, 7x and expenditure is 15y, 9y, 8y.
Income – Expenditure = Savings
For A, 12x 15y = 25% of 12x = 3x 9x =15y => y = 3x/5 B’s
Saving = 9x  9y => 9x9(3x/5) => 18x/5
C’s Saving = 7x8y => 7x – 8(3x/5) => 11x/5
Savings Ratio A: B: C :: 3x: 18x/5: 11x/5
Required ratio = 15: 18: 11
The ratio between the length and the breadth of a rectangular park is 4: 1. If a man cycling along the boundary of the park at the speed of 15 km/hr completes one round in 10 minutes, then the length of the park (in sq. m) is:
Perimeter = Distance covered in 10 min.
= (15000/60)*10 =2500 m
Let h = 4x and b = x
Then, 2(4x + x) = 2500 x = 250.
Then length = 4 * 250 =1000.
A shopkeeper marks up the price of his product by 20%. If he increases the discount from 5% to 10%, the profit would decrease by Rs 2.How much profit/ loss would he earn if he gives a discount of 20% on the marked price?
Let CP be 100 then MP 120
5% discount =114.
10% discount =108.
If we let CP as 100 we get difference of Rs 6 but the actual difference 21, which is 3.5 times of 6.
It implies the CP of product = 3.5 * 100= 350, Then MP=20% of 350=70 =350 + 70 = 420.
Now 20% discount, 20% of 420 =336. Loss =350336=Rs14.
The number of students in 3 classes are in the ratio 4: 5: 6. If 15 students are increased in each class this ratio changes to 11:13:15. The total number of students in the three classes in the beginning was
Let the number of students in the classes be 4x, 5x and 6x respectively;
Total students = 4x + 5x + 6x = 15x.
Given, (4x+15)/(5x+15) = 11/13
3x=30==>x=10.
Then Total no of students is 15x=15*10=150.
The broad principles which determine the validity/ suitability of a Highway/ road is to determine the difference between;
From the passage it can be drawn that the broad principles which determine the validity/ suitability of a Highway/ road is to determine the difference between the benefit to the society from the project and the cost which the society has to pay for it.
When a particular positive number is divided by 3, the remainder is 1. If the same number is divided by 5, the remainder is 4. If the difference between the quotients of the division is 3, then find the number.
Let the quotients when this number is divided by 3 and 5 be x and y respectively.
(Note that x will be greater than y as 3 is smaller than 5).
Number = 3x + 1 = 5y + 4
Given that, x – y = 3
On solving both equation we get, x = 6, y=3
Thus the number is 5 × 3 + 4= 19.
Statement: Many cases of cholera were reported from a nearby village.
Courses of action: The question to be raised in the legislative assembly.
A team of doctors should be rushed to the village.
(1) course of action is not the immediate relief to the victims. Thus (1) is not the right course of action to be chosen for the problem. The immediate medical aid will definitely mitigate the problem to a large extent. Thus (2) course of action is the immediate action to be taken and it is the remedial step.
QuestionId: 530473
Ten new Magazines started on January, 5 Entertainment magazines, 3 political magazines 2 cricket magazines by April, only seven of the new magazines were still available, five of them being Entertainment magazines Based on the above information, four conclusions, as given below, have been made. Which one of these logically follows from the information given above?
No reason is provided for unavailability of any magazine. Hence, option (d) is not correct. Three magazines were unavailable. As no Entertainment magazine is unavailable, they must be either political magazine or cricket magazine. Now, there were only two cricket magazines. So, at least one magazine unavailable was a political magazine. Hence, option (c) is correct.
Shubh is 30 years old and Niku is 25 years old. How long ago was the ratio of their ages 3. 2?
Here, we have to calculate: How many years ago the ratio of their ages was 3:2. Let us assume x years ago
At present: Shubh is 30 years and Niku is 25 years
x years ago: Shubh’s age = (30 – x) and Niku's age = (25 – x)
Given, the ratio of their ages was 3:2
Solving, we get: x = 15
Therefore, the answer is 15 years.
At 5'O clock, clock ticks 5 times. The time between first and last tick was 36 sec. How much time it takes at 11'O clock?
At 5’o clock it ticks 5 times so there are total 4 time intervals. Total time taken = 36
seconds
Hence, the time taken between any two consecutive ticks = 36/4 seconds = 9 seconds.
Similarly, clock will tick 11 times at 11 o’ clock.
At 11o’clock there will be 10 intervals.
Hence total time needed at 11 o’clock = 10 × 6 = 60 seconds.
Statements:
A. All the tiger are leopard.
B. No leopard is an elephant.
Conclusions:
Choose the box that is similar to the box formed from the given sheet of paper
In this case × lies opposite ;
+ lies opposite @;
$ lies opposite %.
Opposite sides cannot be adjacent. So, figure (1) and figure (2) rejected. So, figure (3) and figure (4) may be the similar box.
Two boys, who study in a school, start walking to their homes from their school at 1 pm. The first boy, whose home is 5 km away from the school walks at a speed of 5 km/hr and the second boy whose home is 8 km away from the school walks at a speed of 6 km/hr. If their homes are in directly opposite directions, what will be the distance between the two boys at 2:10 pm?
At the beginning, both the boys walk away from each other. After one hour, first boy reaches home and his distance from school is 5 km. This distance does not change after 2 pm.
The second boy walks at the speed of 6 km per hour for the entire 1 hour 10 min.
Distance covered by second boy in 1 hour 10 min = 7 km.
So, Total distance between the boys at 2:10 pm = 7 + 5 = 12 km.
Lakshman went 15 km to the west from his house, then turned left and walked 20 km. He then turned East and walked 25 km and finally turning left covered 20 km. How far is he now from his house?
Points A and E show the starting and end position respectively of Lakshman. It is clear that E is 10 km away from A.
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