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Basic Maths Mcqs

A boat takes half time in moving a certain distance downstream than upstream. What is the ratio between the rate in still water and rate of current?

Basic Maths Mcqs, Boats and Streams, Mathematics Mcqs /
A boat takes half time in moving a certain distance downstream than upstream. What is the ratio between the rate in still water and rate of current?

A. 1 : 2
B. 3 : 1
C. 2 : 1
D. 1 : 3
Explanation:
Let the speed of the boat in still water be 4 km/hr and speed of the current be u km/hr.
Rate downstream = (u + v) km/hr.
Rate upstream = (u- v)km/hr
Let the distance covered in each case be x km.
Then 2x/(u + v) = x / (u – v)
=> 2 (u – v) = ( u + v)
=> u =3v
=> u/v =3/1

A boat takes half time in moving a certain distance downstream than upstream. What is the ratio between the rate in still water and rate of current? Read More »

Basic Maths Mcqs, Boats and Streams, Mathematics Mcqs

A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will he take to go 5km in stationery water?

Basic Maths Mcqs, Boats and Streams, Mathematics Mcqs /
A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will he take to go 5km in stationery water?

A. 40 Minutes
B. 1 Hour
C. 1 hr 15 Min
D. 1 Hr 30 Min
Explanation:
Speed upstream = 2km/hr.
Speed downstream = 6 km/hr
Speed in stationary water = ½ (6 + 2) km/hr = 4 km/hr
Time is taken to cover 5 km in stationary water
= (1/4 x 5) 1 hr 15 min

A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will he take to go 5km in stationery water? Read More »

Basic Maths Mcqs, Boats and Streams, Mathematics Mcqs

If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is__________?

Arithmetic Mcqs, Average Mcqs, Basic Maths Mcqs, Mathematics Mcqs /
If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is__________?

A. 53.33
B. 54.68
C. 55
D. None of these
Required average = (55 x 50 + 60 x 55 + 45 x 60) / (55 + 60 + 45)
= (2750 + 3300 + 2700) /160
= 54.68 is correct Answer

If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is__________? Read More »

Arithmetic Mcqs, Average Mcqs, Basic Maths Mcqs, Mathematics Mcqs

The average of 18 observations was calculated and it was 124. Later on it was discovered that two observations 46 and 82 were incorrect. The correct values are 64 and 28. The correct average of 18 observations is___________?

Arithmetic Mcqs, Average Mcqs, Basic Maths Mcqs, Mathematics Mcqs /
The average of 18 observations was calculated and it was 124. Later on it was discovered that two observations 46 and 82 were incorrect. The correct values are 64 and 28. The correct average of 18 observations is___________?

A. 123
B. 137
C. 121
D. 122
Sum of 18 observations = 18×124 =2232
Correct sum of 18 observations = 2232-46-82+64+28
= 2196
Therefore, Correct average =2196/18 = 122

The average of 18 observations was calculated and it was 124. Later on it was discovered that two observations 46 and 82 were incorrect. The correct values are 64 and 28. The correct average of 18 observations is___________? Read More »

Arithmetic Mcqs, Average Mcqs, Basic Maths Mcqs, Mathematics Mcqs

A person travels from x to y at a speed of 40Km/h and returns by increasing his speed 50%. What is his average speed for both the trips?

Arithmetic Mcqs, Average Mcqs, Basic Maths Mcqs, Mathematics Mcqs /
A person travels from x to y at a speed of 40Km/h and returns by increasing his speed 50%. What is his average speed for both the trips?

A. 36km/h
B. 45km/h
C. 48km/h
D. 50km/h
Explanation:
Speed of person from x to y =40 km/h
Speed of person from y to x =(40×150)/100 = 60km/h
Since the distance travelled is same
Therefore, Average Speed = (2x40x60)/40+60 = 48km/h

A person travels from x to y at a speed of 40Km/h and returns by increasing his speed 50%. What is his average speed for both the trips? Read More »

Arithmetic Mcqs, Average Mcqs, Basic Maths Mcqs, Mathematics Mcqs

The mean marks of 30 students in a class is 58.5. Later on it was found that 75 was wrongly recorded as 57. Find the correct them.

Arithmetic Mcqs, Average Mcqs, Basic Maths Mcqs, Mathematics Mcqs /
The mean marks of 30 students in a class is 58.5. Later on it was found that 75 was wrongly recorded as 57. Find the correct them.

A. 57.4
B. 57.5
C. 58.9
D. 59.1
Correct mean = 30x 58.5 -57 +75/30
= 1755+18/30 = 1773/30 = 59.1

The mean marks of 30 students in a class is 58.5. Later on it was found that 75 was wrongly recorded as 57. Find the correct them. Read More »

Arithmetic Mcqs, Average Mcqs, Basic Maths Mcqs, Mathematics Mcqs

The average of women and child workers in a factory was 15%yr. The average age of all the 16 children was 8yr and average age of women workers was 22 yrs if ten women workers were married then the number of unmarried women workers were________?

Arithmetic Mcqs, Average Mcqs, Basic Maths Mcqs, Mathematics Mcqs /
The average of women and child workers in a factory was 15%yr. The average age of all the 16 children was 8yr and average age of women workers was 22 yrs if ten women workers were married then the number of unmarried women workers were________?

A. 16
B. 12
C. 8
D. 6
Let the number of women workers be x
According to the question 22*x+16*8 = 15(16+x)
=> 22x+128 =240 +15x
=> 22x-15x = 240 -128
=> 7x=112
Therefore, x=112/7 =16
Therefore, Unmarried women workers =(16-10) = 6

The average of women and child workers in a factory was 15%yr. The average age of all the 16 children was 8yr and average age of women workers was 22 yrs if ten women workers were married then the number of unmarried women workers were________? Read More »

Arithmetic Mcqs, Average Mcqs, Basic Maths Mcqs, Mathematics Mcqs

The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ration of the number of boys to the number of girls in the class is___________?

Arithmetic Mcqs, Average Mcqs, Basic Maths Mcqs, Mathematics Mcqs /
The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ration of the number of boys to the number of girls in the class is___________?

A. 1:2
B. 2:3
C. 3:4
D. 3:5
Let the ratio be k : 1. Then,
k * 16.4 + 1 * 15.4 = (k + 1) * 15.8
= (16.4 – 15.8)k = (15.8 – 15.4)
= k = 0.4/0.6 = 2/3
Required ratio = 2/3 : 1 = 2:3

The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ration of the number of boys to the number of girls in the class is___________? Read More »

Arithmetic Mcqs, Average Mcqs, Basic Maths Mcqs, Mathematics Mcqs

In an examination a pupil’s average marks were 63 per paper. If he had obtained 20 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination?

Arithmetic Mcqs, Average Mcqs, Basic Maths Mcqs, Mathematics Mcqs /
In an examination a pupil’s average marks were 63 per paper. If he had obtained 20 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination?

A. 8
B. 9
C. 10
D. 11
Let the number of papers be x. Then,
63x + 20 + 2 = 65x
= 2x = 22
= x = 11

In an examination a pupil’s average marks were 63 per paper. If he had obtained 20 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination? Read More »

Arithmetic Mcqs, Average Mcqs, Basic Maths Mcqs, Mathematics Mcqs

The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is__________________?

Arithmetic Mcqs, Average Mcqs, Basic Maths Mcqs, Mathematics Mcqs /
The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is__________________?

A. 20
B. 21
C. 22
D. 23
Explanation:
Let the total number of workers be x. Then,
8000x = (12000 * 7) + 6000(x – 7)
= 2000x = 42000
= x = 21

The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is__________________? Read More »

Arithmetic Mcqs, Average Mcqs, Basic Maths Mcqs, Mathematics Mcqs