Questions Related to maths

Multiple choice maths operations adding and subtracting numbers using place value addition & subtraction mental additions and subtractions

If the sum of two consecutive odd numbers is 2004, then the smaller of the two numbers could be

  1. 2001

  2. 1001

  3. 1003

  4. 1

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the two consecutive odd numbers are x and x+2
$x+x+2 = 2004$
$x+x+2-2 = 2004 -2 $ (Subtract 2 from both the sides)
$2x = 2002$
$\frac{2x}{2} = \frac{2002}{2}$ (Divide 2 from both the sides)
$x = 1001$
Hence two numbers are 1001 and 1003

Multiple choice maths operations adding and subtracting numbers using place value addition & subtraction mental additions and subtractions

A man can row 16 km downstream in one hour but upstream he takes twice the time then the speed of the current is

  1. 8 km/h

  2. 12 km/h

  3. 4 km/h

  4. 2 km/h

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The man down stream is 16 km in one hour and he take twice time in upstream 

Then he take time 2 hour in 16 km 
So speed in upstream =$\frac{16}{2}=8 km /hr$
Then current spread =$\frac{16-8}{2}=4$ km/hr 

Multiple choice maths operations adding and subtracting numbers using place value addition & subtraction mental additions and subtractions

If a=2, b=3, c=4, then the difference between $\displaystyle 2\frac{3}{4}$ and $\displaystyle b\frac{a}{c}$ is

  1. $-1/4$
  2. $1/4$
  3. $-3/4$
  4. $5/4$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

If a=2 ,b=3 and c=4

Then $b\tfrac{a}{c}=3\tfrac{2}{4}=3\tfrac{1}{2}$
Then difference between=$2\tfrac{3}{4}-3\tfrac{1}{2}=\frac{11}{4}-\frac{7}{2}=\frac{11-14}{4}=\frac{-3}{4}$

Multiple choice maths operations adding and subtracting numbers using place value addition & subtraction mental additions and subtractions

The average weight of 7 men is diminished by 3 kg when one of them who weighs 73 kg is replaced by a new man then the weight of the new man is 

  1. 50 kg

  2. 52 kg

  3. 53 kg

  4. 54 kg

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The averages weight of seven man diminished by 3 kg .Then total weight diminished by $3\times 7=21 kg $

If one of them whose weight is 73 kg is replased by anew man 
Then weight of new man =72-21=52 kg

Multiple choice maths operations adding and subtracting numbers using place value addition & subtraction mental additions and subtractions

What number should be subtracted from each of the numbers 54, 71, 75 and 99, so that the remainders may be in proportion?

  1. 5

  2. 4

  3. 3

  4. 2

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the number to be subtracted is $x$

$(54-x),  (71-x),   (75-x)$  and $ (99-x)$ are in proportion

$\Rightarrow \dfrac{54-x}{71-x}=\dfrac{75-x}{94-x}$ Which is true if $x=3$


$\Rightarrow \dfrac{54-3}{71-3}=\dfrac{75-3}{94-3}$

$\Rightarrow \dfrac{51}{68}=\dfrac{72}{91}$

i.e $\Rightarrow \dfrac{3}{4}=\dfrac{3}{4}$

Then subtracted $3$ in these number may be in proportion  

Multiple choice maths operations adding and subtracting numbers using place value addition & subtraction mental additions and subtractions

A student was asked to multiply a certain number by 3 and to add 2 to it, but he divided the number by 3 and subtracted 2 from it and got the number 1. The correct answer is

  1. 9

  2. 25

  3. 29

  4. none of these

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the certain number be x
As per problem,
$\Rightarrow \frac { x }{ 3 } -2=1$
 $\Rightarrow \frac { x-6 }{ 3 } =1$
 $\Rightarrow x-6=3$
 $\Rightarrow x=9$
The correct answer will be $9\times 3+2=27+2=29$