A car travels at 60 mph on a trip and at 100 mph on return trip. What was its average speed for the entire trip? Solution:
Total average speed = 2*60*100/(100+60) = 2*60*100/160 = 2*60*5/8 = 60*5/4 = 15*5 = 75 . click below to see video trick when there are more than 2 equal distances.
Without stoppages a train travels a certain distance with an average speed of 50 kmph and with stoppages it covers the same distance with an average speed of 40 kmph. What is the time in minutes per hour for which train stops? For video solution of this question click below video
P, Q, R are three towns on a river which flows uniformly. Q is equidistant from P and R. A man rows from P to Q and returns in 10 h. He can row from P to R in 4 h. The ratio of speed of the man in still water to the speed of the current is :
(a) 5 : 3
(b) 3 : 5
(c) 2 : 5
(d) 1 : 2
(e) None of these
How many numbers greater than equal to 200 but less than equal to 4000 is formed using the digits 0, 1,2, 3, 4 when
(a) Repetition of digits allowed
(b) Repetition of digits not allowed
Video solution
How many numbers greater than 999 but less than equal to 4000 is formed using the digits 0, 1,2, 3, 4 when
(a) Repetition of digits allowed
(b) Repetition of digits not allowed
1 A shopkeeper gives one kite free on sale of 19 kites if he double the discount, How many kites he will give on sale of 27 kites?
Ans 3 kites
Video solution
question
A shopkeeper sells a badminton racket , whose marked price is Rs. 30, at a discount of 15% and gives a shuttle cock costing Rs. 1.50 free with each racket . Even hem he making a profit of 20% . His cost per racket is
1. On dividing 2272 as well as 875 by 3-digit number N, we get the same remainder. Find the sum of the digits of N? Ans 10 2. On dividing 11284 as well as 7655 by 3-digit number N, we get the same remainder. Find the sum of the digits of N? Ans 11 Video trick of such questions click below
1.A dishonest dealer marks up the price of his goods by 20% and gives a discount of 10% to the customer. Besides, he also cheats both his supplier and his buyer by 100 grams while buying or selling 1 kilogram. Find the percentage profit earned by the shopkeeper?
Ans 32 percent
Click this video how to crack such questions
some more questions for extra practice
2.
A dishonest dealer marks up the price of his goods by 60% and gives a discount of 25% to the customer. Besides, he also cheats both his supplier and his buyer by 100 grams while buying or selling 1 kilogram. Find the percentage profit earned by the shopkeeper?
Ans 46.66 percent
3
A dishonest shopkeeper professes to sell pulses at the cost price, but he uses a false weight of 950 gm for a kg. his gain is ...%? Ans 5.26 percent 4
A dishonest shopkeeper uses false balance and cheats a customer by giving 20% less quantity of food . His profit is
Ans 25%
5
A shopkeeper professes to sell his goods at cost price but uses a weight of 800 gm instead of kilogram weight.Thus, he makes a profit of
A train after travelling for 50 km meets with an accident and then proceeds at 3/4 of its former speed and arrives at its destination 35 minutes late. Had the accident occurred 24 km farther, it would have reached the destination only 25 minutes late.
(A) What is the speed of the train?
(B) Total Distance see this below video solution and trick
Other questions for practice
A train after traveling 150 km meets with an accident and then proceeds with 3/5 of its former speed and arrives its destination 8 hours late. Had the accident occurred 360 km further, it would have reached the destination 4 hours late. What is the total distance traveled by the train? Ans normal speed 60 Km/hr distance ans 870 KM
A train met with an accident 120 km from station A. It completed the remaining journey at 5/6 of its previous speed and reached 2 hour late at station B. Had the accident taken place 300 km further, it would have been only 1 hour late. What is the speed of the train ? ans 60 km/hr
A train met with an accident 60km away from station A. It completed the remaining journey at 5/6th of the original speed and reached station B 1hr 12mins late. Had the accident taken place 60km further, it would have been only 1hr late. what was the original speed of the train?
a. 60 km/hr
b. 55 km/hr
c. 65 km/hr
d. 70 km/hr
e. 48 km/hr
64329 is divided by a certain number. While dividing the numbers, 175, 114 and 213 appear as three successive remainders. What is the divisor? a) 234 b) 296 c) 224 d) 213 watch video trick click below
A student finds the average of ten 2 digit numbers. While copying numbers, by mistake, he writes one number with its digits interchanged. As a result his answer is 1.8 less than the correct answer. The difference of the digits of the number, in which he made mistake, is
(a)2(b) 3(c) 4(d) 6
click here for video solution
Thursday 29 June 2017
In an examination, 5 questions were asked. 5 % of total students answered all the questions and 5 % did not answered any of the questions. 25 % and 20 % of the remaining students answered only one question and 4 questions respectively . 24 % of the total students answered 2 questions. If 200 students answered 3 questions, then find the total number of students appeared in the examination. click here this video to find simple solution
In an election only two candidates contested. 30 % of the registered voters did not cast their votes and 180 votes were declared invalid. The winner got 684 votes more than his opponent. The number of valid votes received by the winner is 42% of the number of registered voters. How many registered voters cast their votes? for video solution click this video
this same question can be asked in the below manner
question
In an election only two candidates contested 20% of the voters did not vote and 120 votes were declared as invalid. The winner got 200 votes more than his opponent thus he secured 41% votes of the total voters on the voter list. Percentage votes of the defeated candidate out of the total votes casted is
ans 45 %
Question 1
Amit and Bharat participated in 1000 m race. If Amit gives Bharat a start of 50m, Amit wins by 14 seconds and if Amit gives Bharat a start of 22 seconds, Bharat wins by 20 meters. Find the time taken by Amit to run 1000 m.
Ans 100 seconds
Question 2
A and B participated in 1km race. If A gives B a start of 100m, A still wins by 20 seconds and if A gives B a start of 25 seconds, B wins by 50 meters. Find the time taken by A to run 1 Km.
24 men can complete a work in 16 days. 32 women can complete the same work in 24 days. 16 men and 16 women worked for 12 days. How many more men are required to complete the remaining work in 2 days?
In an isosceles triangle ABC a circle passes through vertex B and touches mid-point of line AC at Q and intersects the side AB at P. Find AP: PB?
or it can be asked in this manner
ABC is an isosceles triangle in which AB = AC. A circle through B touches the side AC at D and intersect the side AB at P. If D is the midpoint of side AC, Then Prove AB = 4 AP.
1
A says to B when I was of your age i was three times of your age at that time and sum of their present ages is 64 .find present Age of A?
Ans A = 40 ,B=24
NOW Small variation in question
2 A says to B "I am twice as old as you were when I was as old as you are". The sum of their ages is 63 years. Find the difference of their ages ? ans A =36 ,B=27 difference =9
Monday 15 May 2017
SSC CGL TIER 2 QUESTION
D and E are two points on the sides AC and BC respectively of triangle ABC such that DE = 18cm ,CE=5 cm and angle DEC = 90. If tan angle ABC =3.6, then AC:CD= Video trick of this question
Video trick
Thursday 16 March 2017
TIME AND WORK FOR CAT/SSC/BANK PO
1.To do a certain work B would take 4 times as long as A and C together
and C 3 times as long as A and B together. The three men together complete the
work in 5 days. How long would take B and C to complete the work?
(a) 9 days (b) 11.11 days (c) 26 days (d)
28 days
2. To do a certain work B would take
2 times as long as A and C together and C 3 times as long as A and B together.
The three men together complete the work in 16 days. How long would take B and
C to complete the work?
(a) 27 days (b)
27 days (c) 27.42 days (d) 27 days
In what ratio must a person mix three kinds of tea costing Rs.60/kg, Rs.75/kg and Rs.100 /kg so that the resultant mixture when sold at Rs.96/kg yields a profit of 20%?
