Q Find the greatest value of x, if 58! is divisible by 10x.
Ans For a number to be multiple of 10, we need 2 and 5.
Number of zeroes in a factorial = floor(x/5) + floor(x/25)+...
Since the number is less than 125, which is next power of 5.
Number of 0s in 58! = floor(58/5) +floor(58/25) = 11 + 2 =13
Q Delhi University has started a new course in Gaming. However, in the first batch, only 8 students joined the course. Now, in the inaugural class, they were to be seated in a row. Moreover, 3 friends wants to be seated together always. Can you tell us the probability of seating them together always.
Ans 3/28
Q Navdeep lends an amount of 4800 to Amarjeet. He gives a part of money at 4% interest and the rest of the amount at 6% interest. The total interest, at the end of 5 years, amounted to 1100. Can you tell us the amount of money that Navdeep gave to Amarjeet at 6% interest.
Ans 1400
Q
A number when successively divided by 5,6 and 7 leaves remainder 3, 2 and 4 respectively. When the order of successive division gets reversed then find the remainders.
Ans 0,1 and 3
Q Parikh explained a project that he intends to build for credit in his course on image processing, to Navdeep. He further explained that he alone can complete it in 80 days. Navdeep admitted that it would take 120 days for him to complete it alone. So, they both started to complete the project. However, Parikh left it after 20 days and Navdeep kept working on it alone. Navdeep worked alone for 12 days and then Rohan offered to help.
Rohan and Navdeep worked hand-in-hand and completed the project in 18 more days. Given the scenario, can you tell us how many days it would have taken Rohan to complete the project alone.
Ans 54.
Q Find the angle between the hands of the clock at 3:28 AM.
Ans 60
Q The average of 9 observations is 79. The average of the first two observations is 75 and the average of the next four observations is 87. If the 8th observation is 5 more than 7th observation and one more then 9th observation. Calculate the sum of 7th and 9th observations.
Ans 140
Q A number when successively divided by 3,4 and 5 leaves remainder 1, 2 and 3 respectively. When the order of successive division gets reversed then find the remainders.
Ans 3 0 and 2
Q
A family of 11 members went for a picnic at a park. There they saw a long straight bench that could accommodate all of them so they decided to sit on it. Now, the two youngest members of the family had an argument the previous day so they refused to sit together.
What is the probability that out of all seating arrangements that are possible, one arrangement is picked such that the two youngest members don't sit together?
Ans 9/11
Q 3953 * 2723 * 3612?
Ans 2.
Q Anjali has 500 books placed on multi-slab table with equal number of books on every slab. She wants to vacate 5 slabs from the table for her sister, but she can only increase 5 books on every slab(except the vacated slabs). So, overall she has to decrease the total number of books by 10%. Find the total number of slabs present in the the table and number of books placed on each slab originally.
Ans 20 slabs 25 books
Q A manager has given a task to four employees A, B, C, D. The chances of completion of the task on time are ⅓, ¼, ⅕, and ⅙ respectively. What is the probability that the task will get completed on time?
Ans 2/3Q Find the share
Ans 2/3
Q Find the share
Navdeep, Parikh, and Anjali entered into a partnership firm. Initially, Navdeep and Parikh invested in Rs. 15,000 and Rs 15,000 respectively. Two months later Anjali entered into this firm with an investment of Rs. 15,000 and 4 months later Parikh withdraws Rs 6000 and Navdeep invested Rs. 1000 more. At the end of the year, the profit was Rs. 82,000. Then find the share of Parikh if Navdeep withdraws an amount of Rs 2000 per month for maintenance.
Ans 17400
Q Coding Ninjas is careful about quality of content provided. To make it more full proof, we have decided to make a "Quality Team" of six people. It is decided that team must have at least three men and two women. There are seven men and seven women in the list of eligible candidates. However, out of seven eligible women, Anju and Manju are twin sisters and don't want to be part of the same team. So, unfortunately, we can select either Anju or Manju. Can you help us find what are the total possible ways in which this team can be formed.
Ans 1750.
Q Reduction in machinery
The total price of the machines of a company has gone up by 25%. Cost to install them has also increased from 25% of the cost of total machines to 35% of the cost of total machines.
In order to keep the cost same, what should be the percentage reduction in number of machines. Please select the most suitable range in which the calculated percentage lies.
Ans Solution Description
#### Let the initial cost of machines be 100. So, initial cost to install was 25 and net cost was 125
#### Now, 25% increment in cost of machines
#### Machine cost = 125 And
#### cost to install has gone up to 35% from 25 %
#### cost to install = (125 × 35%) = 43.75
#### So, New net cost,
#### = 125 + 43.75 = 168.75
#### Difference of cost = 168.75 - 125 = 43.75
#### % reduction = 43.75×100/168.75
#### = 25.92%(approx.)
Q Grape JuiceYou are given grape juice and water mixture in two glasses. The ratio of grape juice to the water in those glasses are in the ratio 5:2 and 7:6 respectively. Now, find in what ratio both of the mixtures should be mixed so that the final mixture is in the ratio 8:5.
Ans 7:9
Q Distance travelled
Aman is caught in an emergency and has to visit another town 80km away in exactly 9 hours. He cannot find any vehicle nearby, so he started moving by foot at a speed of 8km per hour. After some time, he got a bicycle and then travelled the rest of the distance on a bicycle at 16km per hour. Find the distance travelled by Aman on foot
Ans 64km.
Q Paint the cube
The Money required to paint a cube of volume V is x Rs. We have another cube with volume 27V. How much money do we need to paint this new cube?
Ans Solution Description
(length)^3 = 27V
length = 3 * cube root (V)
a1/a2 = (L1/L2)^2
a1/a2 = {[cuberoot(V)]/[3*cuberoot(V)]}^2
=(1/3)^2
=1/9 9x rupees.
Q A Christmas candy bag has 3 orange candies, and 5 chocolate candies. A kid takes 3 candies at random. What are the odds against these being all chocolate?
[Hint: Odds against an event = (Number of unfavourable outcomes) / (Number of favourable outcomes)]
Ans 23/5
Q Different Sections
If Class 10 has 3 sections Section A, Section B and Section C having 20, 25 and 30 students respectively. Each of the three sections has average marks of 20, 25 and 30 respectively. If you have given the following information about the 3 sections:
1. Section A has the highest marks of 25 and the lowest marks of 18.
2. Section B has the highest marks of 31 and the lowest marks of 23.
3. Section C has the highest marks of 33 and the lowest marks of 26.
What will be the minimum possible average of Section A if 5 students are transferred from Section A to B?
Ans 18.33
Q Average age
The age of Diksha and Akshay is in ratio 3:12. If the ratio of their age 5 years from now will be 5:15. What will be the average of their ages 10 years from now?
Ans 35
Q Number on the box
A few boxes are arranged with the help of numbers on them in ascending order, and it is given that these numbers are in AP. If the sum of numbers on the first 4 boxes is 36 and the difference between the numbers on consecutive boxes is 4. What is the number on the 5th box?
Ans 19
Q Right Angle in clock
At what time between 2 pm to 3 pm is the first right angle formed by hands of the clock.
Ans Solution Description
Let the time be 2 hr x minutes.
Angle of minute hand= 6x
Angle of hr hand = 60+x/2
(hour hand moves 1/2 degree for each minute)
6x - (60+x/2) = 90
11x/2 = 150
x= 300/11
300/11 minutes = 5/11 hr5/11 hours past 2 o'clock
Q Meeting TimeTwo school friends, Ankit and Vishal, had their colleges separated by a distance of 180 kms. They decided meet on Sunday.
On Sunday, Ankit took his car at 10 am and moved at an average speed of 50 kmph. Vishal took his car and started his journey at 12 pm. He moved at an average speed of 30 kmph. Can you tell us, at what time they will meet each other.
Ans 1pm
Q 35% revenue of a company comes from people living in rural areas while 65% of its revenue comes from people living in urban areas. If the company increases its fee by 15% for the people living in rural areas while 25% for the people living in urban areas, what is the percentage increase in the overall revenue of the company?Ans 21.5
Q. If an amount becomes 3 times in 5 years then in how many years it would be 9 times through Compounded interest and Simple interest respectively.
For compound interest,
A = (1+r)^t
For the amount to be squared, time needs to be doubled.
That is in 10 years.
For simple interest:
3P= P(1+R5)
R =2/5
9P=P(1+3/5*T)
45 = 5+ 2T
T = 20
Q Rishi is a stock trader. He invested in Company A share worth Rs. 12100, as well as in Company B share worth Rs.8100. If the Company B share appreciates at 10% p.a. and Company A share depreciates at 10% p.a., then in how many years will the value of both be the same?
Ans:::: 2
1.A shopkeeper selling lamps mark up the price of the lamps by 10%. After marking up the price, he sells the lamps at a discount but he suffers an overall loss of 1% after giving the discount. Find the discount percent that the shopkeeper offered.
Let CP=100
MP=110
Loss=1%
SP=100 - 0.01*100= 99
MP-discount=SP
110 - discount =99
discount =11
Discount %= 11/110 *100 =10%
3. An arithmetic progression series of 12 terms with common difference of 'd' and first term =12 is given to you.
Now, if the sum of all the terms is equal to the square of the last term. Then find the value of 'd'.
Note: Don't consider the case where the value of the common difference is zero.
Note: The formula for finding sum of 'n' terms is denoted by Sn and Sn = (n/2) * (2 * a+(n-1) * d).
2.
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