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The flow of water through a pipe of radius 28cm into a rectangular tank which is 400m long and 176 m wide is 20 km/hr. In what time the water level will rise by 56 cm.
Let time taken to increase the level of tank by 56 m =‘t’ hours.
The volume of pipe contains the water, has speed of water = Height of pipe.
Volume of Pipe = 22/7 × (28/100)² × 20,000
Volume of pipe × n = 400 × 176 × 56/100 22/7 × (28/100)² × 20,000 × t
= 400 × 176 × 56/100
Therefore, t = 8 hours
A swimming pool has two pipes one can fill it with water in 32 hours and other can empty it in 12 hours. In how many hours will the swimming pool be emptied if both the pipes are opened together when 3/8th of the swimming pool is already filled with water?
If both pipes are open, then total units per hour empty the swimming pool (P  Q) = 3  8 =  5 units
According to question,
Swimming pool has 3/8th of its total capacity in the beginning 3/8 × 96 = 36 units
Time taken to empty the swimming pool = 36/ (5) = 7 (1/5) hour
Find the wrong number in the given number series:
20 9 10 17 29 71.5
If the speed of a boat in still water is 60 km/h. If the boat travels 180 km along the stream in 2 hours 30 minutes, then the time taken by it to cover the same distance against the stream will be?
Let the speed of the current be ‘x’ km/h
Rate Downstream = (x + 60) km/h
According to the question,
180/(x + 60) = 2 hours 30 minutes 180/(x + 60) = 5/2 hours
(x + 60) = 72
Therefore, x = 12 km/hr Rate
Upstream = 60 – 12 = 48 km/hr
Required time = 180/48 = 3 hours 45 minutes
How many words can be formed the word AMAZON in which both A’s do not come together?
Total number of letters in the word AMAZON is 6.
Total number of ways = 6!/2!
Number of ways when 2 A’s are together = (5! × 2!)/ 2! = 120
Therefore, Number of ways when 2 A’s are not together = 360 – 120 = 240
If 35% of 40% of 7/5 of a number is 980, then what is 25% of 3/2of that number?
Let the number be ‘a’
35/100 × 40/100 × 7/5 × a = 980
a = 5000
Therefore, required answer = 25% of 3/2 of 5000 = 1875
Directions 
In the following question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.
Q. What is the speed of a motorboat in still water?
I. The motorboat covers a distance of 140 km in 4 hours while running upstream.
II. It covers the same distance in 3 hours 30 minutes while running downstream.
From I and II
Let the speed of the motorboat be a km/hr
Speed of the stream be b km/hr
Speed of upstream a  b= 140/4 = 35 ……(i)
Speed downstream a + b = 140/ 3(1/2) = 40 …….(ii)
Solving (i) and (ii),
we get a= 37.5 km/hr and b = 2.5 km/hr
The number 711711711711711711711 is Divisible by
Clearly, we can see that it is not divisible by 7 and
(Sum of digits at odd places) – (sum of digits at even places) = 35 – 28 = 7
Therefore, Given number is not divisible by 11.
The flagstaff of 9 meters high, is placed on the top of a tower makes a shadow of 3√3 m eters along the ground, then find the angle that the sun makes with the ground.
Let a = height of the tower & b = length of the shadow of the tower
Then, tan (x) = a/b
= (9 + a)/3√3 + b
= 3√3a = 9b
= a/b = 9/3√3
Therefore, a/b = √3 Tan (x) = tan 60°
so x = 60
The average age of a husband and wife, who were married 8 years ago, was 30 years at the time of their marriage, Now, the average age of the family, including husband, wife and a child, born during the interval, is 26 years. What is the present age of the child?
Total age 8 years ago = 30 × 2 = 60 years
Total age today = 60 + 8 × 2 = 76 years
Total age after child was born = 76 + a
Therefore, average age = (76 + a)/3 = 26 Now, 76 + a = 78
Therefore, a = 2 years
If a = (√3 + 1) and b = (1  √3), then find the value of (a² + b² + ab).
(a² + b² + ab) = a² + b² + 2ab – ab
= (a + b)²  ab
= (√3 + 1 + 1  √3)² – (√3 + 1)(1  √3)
= 2²  ( 3 + 1)
= 4 + 2
= 6
A conical vessel, whose internal radius is 7cm and height is 24cm, is full of milk. If the milk is poured into a cylindrical vessel with internal radius 14cm, find the height to which the milk rises in it.
Let the height up to which milk rises in cylindrical vessel = h cm
Then, Volume of cylinder = 22/7 × r² × h
Volume of cone = 1/3 × 22/7 × r² × h
Now,
22/7 × 14² × h = 1/3 × 22/7 × 7² × 24
Therefore, h = 2 cm
Ankush and Bharat working separately, can mow a field in 20 and 25 hours respectively. They work alternatively, each for one hour, with Ankush beginning at 6 am. At what time will the mowing can be done?
A pizza boy after travelling 75km meets with a travelling jam and then proceeds at 3/4 of its former speed and arrives at its destination 45 minutes late. Had the traffic jam occurred 48 km further, it would have reached the destination only 25 minutes late. The normal speed of the pizza boy is
An amount of Rs 34,000 is to be divided among Raja, Rani and Mahi in the ratio of 1/4: 5/16:1/2. Find the difference between the smallest and the greatest parts.
Raja: Rani: Mahi = 1/4: 5/16:1/2
Ratio = 4:5:8
Difference between greatest and smallest = 8x – 4x = 4x
Now, 4x + 5x + 8x = 34000
17x = 34000
Therefore, x = 2000
Required answer = 4x = 4 × 2000 = 8000
Praiksha and Mohit enters into a partnership investing Rs 8000 and Rs 12000 respectively. After 3 months, Pariksha withdrew Rs 2500, while Mohit invested Rs 2500 more. After 3 months more, Suvarna joins the business with a investment of Rs 10,500. After a year, they obtained a gain of Rs 30300. By what money does the share of Mohit exceeds the share of Suvarna?
Pariksha investment = 8000 × 3 + 5500 × 9 = 24000 + 49500 = 73500
Mohit investment = 12000 × 3 + 14500 × 9 = 36000 + 130500 = 166500
Suvarna investment = 10500 × 6 = 63000
Ratio’s of their investment = 49:111:42
Difference between Mohit and Suvarna = 111 – 42 = 69
Therefore, 69/202 × 30300 =Rs 10350
In an election two candidates participated. 15% voters did not vote. 20% declared invalid and the winner got 75% of the valid votes. If he won by 3400 votes, find the number of voters in the voting list.
Total numbers of voters be 100.
Numbers of voters who voted (85%) = 85
Number of valid votes = 85 × 80/100 = 68
Winning candidate got 75% of valid votes = 75/100 × 68 = 51
Looser got = 68 – 51 = 17
Difference between winning and losing candidates votes = 3400
51 – 17 = 3400
34 = 3400
100 = 3400/34 × 100 = 10,000
The perimeter of a rectangle is 300m. If the difference between the length and breadth of the rectangle is 10m, then what is the circumference of the largest circle that can be drawn inside the rectangle?
Perimeter = 2(l + b)
2(l + b) = 300 (l + b) = 150m
Now, b + 10 + b = 150
2b = 140
b = 70m
The largest circle drawn inside the rectangle will have diameter equal to the breadth of the rectangle.
Circumference of the circle = 22/7 × d
= 22/7 × 70
= 220 m
A solution contains 40L of pure milk. 25% of his this is taken out. Another 25% of the remaining solution is taken out and finally 25% of the contents left is taken out. The total content taken out replaced with water. Find the ratio of milk to water in the final solution.
Quantity of milk = 40L
When 25% solution is taken out =25/100 × 40 = 10 L
Remaining solution = 40 L – 10 L = 30 L
Now, again 25% of solution is taken out = 25/100 × 100 = 7.5 L
Remaining solution = 30 L – 7.5 L = 22.5 L
Now, further 25% of solution is taken out = 25/100 × 22.5 = 5.625 L
Remaining solution = 22.5 L – 5.625 L = 16.875 L
Total quantity taken out which is replaced by water = 40 L – 16.875 L = 23.125 L
Therefore, Required ratio = 23.125 : 16.875 = 37:27
If interior angle of any regular polygon is 160 degree. What is the number of sides of that polygon?
If interior angle = 160 So exterior angle = 180  160 = 20 = 360/N
or
N = 360 / 20 = 18
If each of the digits in the number 92475813 are arranged in ascending order, what is the difference between the digits which is fourth from the right and third from the left in the new arrangement?
In a certain code, SOUP is written as 5318 and DRIVE is written as 27649. How will PREVIOUS be written in that code?
B and C are brothers. D and E are sisters. B’s son H is E’s brother. C is unmarried. How is C related to D?
A man started from a place walked towards North for 7 m then turned 90° to his right and walked another 6 m. Then he turned 45° to his right and walked 4 m and turned 45° to his left. What is his direction now?
Choose the appropriate option that can replace the “?” sign in the relationship given.
5335 : 3553 : : 7557 : ?
Arrange the following words in a meaningful order.
A. Atom B. Electron/Proton/Neutron C. Molecule D. Compound
Which word will appear third in the dictionary?
The suitable order of words as per dictionary:
4. SCARE
2. SCIENTIFIC
3. SCORE
1. SCREW
The given word is followed by 4 responses, one of which cannot be formed by using the letters of the word given ‘SUSTAINABLE’. Find out the word.
There is no ‘M’ in the word ‘ SUSTAINABLE’.
In each of the following questions, select the missing number from the given responses.
Given below are capital letters in the first line and symbols in the second line. Symbols and letters are codes for each other. Choose the correct code for the given letters.
Directions In each of the following questions, select the related letters / words / numbers from the given alternatives.
8 : 71 11 : ?
(8)² + 7 = 64 + 7 = 71
(11)² + 7 = 121 + 7 = 128
Directions In each of the following questions, select the related letters / words / numbers from the given alternatives.
446 : 323 :: 897:?
In 446 = 4 – 1, 4 – 2 , 6 – 3 = 3 , 2, 3 = 323
Then, 897 = 8 – 1, 9 – 2 , 7 – 3 = 7 , 7, 4 = 774
Directions In each of the following questions, select the related letters / words / numbers from the given alternatives.
BACZ : DYEX :: FWGV : ?
B + 2 = D
A – 2 = Y
C + 2 = E
Z – 2 = X
THEN,
F + 2 = H
W – 2 = U
G + 2 = I
V – 2 = T
Find the odd one out from the given alternatives.
All other are languages of computer except Barometer.
There are five friends – Shilpa, Kiran, Meena, Anushka and Ragini. Shilpa is shorter than Kiran, but taller than Ragini. Meena is the tallest. Anushka is shorter than Kiran and taller than Shilpa. Who is the second tallest?
Meena > Kiran > Anushka > Shilpa > Ragini
Directions
In each question below are given two statements followed by two conclusions numbered I and II. You have to take the two given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts. Give Answer:
Statements:
Some papers are erasers.
Some papers are pencils.
Conclusions:
I. Some pencils are eraser.
II. Some eraser are pencils.
Some papers are erasers(I) + Some papers are pencils(I)⇒ No conclusion. Hence conclusion I and II will not follow.
Directions
In each question below are given two statements followed by two conclusions numbered I and II. You have to take the two given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts. Give Answer:.
Statements:
I. All poets are politicians.
II. All politicians are painters.
Conclusions:
I. All painters are poets.
II. Some politicians are not painters
All poets are politicians(A) + All politicians are painters (A) ⇒ All poets are painters(A). Hence conclusion I will not follow.
All painters are politicians(A) ⇒ conversion⇒ Some politicians are painters. Hence conclusion II will not follow.
There are five cars N, O, P, Q, R in the row on a road. Bus N is standing at the front and R is standing at the back end. Car O stands between N and P. Car Q stands between P and R. Which bus is in the middle of the live?
Which of the following diagrams indicates the best relation between Brother, Father and Men?
Directions In each of the following questions, select the related letters / words / numbers from the given alternatives.
446 : 323 :: 897:?
In 446 = 4 – 1, 4 – 2 , 6 – 3 = 3 , 2, 3 = 323
Then, 897 = 8 – 1, 9 – 2 , 7 – 3 = 7 , 7, 4 = 774
Which state government has launched ‘Ama Gaon, Ama Vikas’ programme?
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7th Meeting of EPG on NepalIndia relatons was held in ___________.
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Who was recently appointed as the Group Chief Risk Officer by Punjab National Bank?
A.K.Pradhan has been appointed as the Group Chief Risk Officer in the wake of the recent PNB Fraud that was unearthed few weeks back.Mr.Pradhan was earlier holding the post of General Manager.
World Wetlands' Day is celebrated on which of the following days?
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Barkatullah Khan Cricket Stadium is located in which Indian city?
Barkatullah Khan Cricket Stadium is located in Jodhpur,Rajasthan.The stadium was established in 1986/87 but has been used only sporadically. It became India's 35th ground to host a onedayer, while Jodhpur became India's 31st venue to host an ODI.
Which Indian sports personality became the brand ambassador of a gaming platform Dream 11?
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Where is the headquarter of WHO located?
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The 2nd project of Swajal Yojana was recently launched by Uma Bharti in which state ?
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Tarapur Nuclear Plant is located in which state ?
The Tarapur Atomic Power Station(TAPS) is located near Boisar,in the Thane district of Maharashtra.One hundred and twenty Americans were involved in the project and the BWRs were supplied by the US company General Electric.
India  Korea Business Summit 2018 was recently held in which of these cities?
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Which of the following is the oldest mountain range in India ?
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Who among these was appointed as the UNDP National Goodwill Ambassador for Pakistan?
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Recently released book Akhada is the authorized biography of which persoanlity?
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Kanakalata Mohanty passed away recently.Who was she ?
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Government shifted the headquarters of Animal Welfare Board of India from Chennai to ____________?
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Which of these movies won the Oscar 2018 for Best Picture?
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India was ranked at which place in Global Curroption Perceptions Index 2017 ?
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India contributed $_______Mn for the rehabilitation work in cyclonehit Tonga
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PyeongChang Winter Olympics 2018 were held in which country ?
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International Yoga Festival was recently held in which state ?
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Polluted gas emitted from the vehicles is mainly:
Which of the following ray has more penetrating power?
Which of the following is not correct according to Total Internal Reflection ?
Which of the following is not allotrope of carbon?
Which of the following statement is correct?
Astronomical Unit is used to measure
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