Tag: maths

Quizzes (518) Questions (9324)

Questions Related to maths

Multiple choice maths decimal numbers adding and subtracting decimals addition and subtraction of decimals operations on decimals

If k is an integer and $\displaystyle \left( 0.0025 \right) \left( 0.025 \right) \left( 0.00025 \right) \times { 10 }^{ k }$ is an integer, what is the least possible value of k ?

  1. -12

  2. -6

  3. 0

  4. 6

  5. 12
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Given expression:

 $(25 \times 10^{-4}) $ $(25 \times 10^{-3}) $$(25 \times 10^{-5}) $
$\rightarrow$ $15625 \times 10^{-12}$.
So, to make the result an integer, we must multiply by $10^{12}$
Least possible value of k should be 12. (option E)

Multiple choice maths decimal numbers adding and subtracting decimals addition and subtraction of decimals operations on decimals

Match the following.

Column I Column II
(i) $715+12.59+685.35=$ (P) $417.16$
(ii) $518-( 216.80 -115.96 )=$ (Q) $213.07$
(iii) $4.090+0.050+6.500=$ (R) $1412.94$
(iv) $36.050+198.05-21.03=$ (S) $10.640$
  1. (i)$\rightarrow$ (Q), (ii) $\rightarrow$ (R), (iii)$\rightarrow$ (S), (iv) $\rightarrow$ (P)
  2. (i)$\rightarrow$ (R), (ii) $\rightarrow$ (P), (iii) $\rightarrow$(S), (iv) $\rightarrow$(Q)
  3. (i)$\rightarrow$ (R), (ii)$\rightarrow$(S), (iii) $\rightarrow$ (P), (iv) $\rightarrow$ (Q)
  4. (i)$\rightarrow$ (Q), (ii) $\rightarrow$(S), (iii) $\rightarrow$ (P), (iv)$\rightarrow$(R)
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

(I) $715+12.59+685.35=1412.94$
(II) $518-(216.80-115.96)=518-100.84=417.16$
(III) $4.090+0.050+6.500=10.640$
(IV) $36.050+198.05-21.03=213.07$.

Multiple choice maths decimal numbers adding and subtracting decimals addition and subtraction of decimals operations on decimals

The base of the decimal number system is ten, meaning, for example, that 123=1.10$^{2}$ + 2.10 + 3.
In the binary system, which has base two, the first five positive integers are 1,10,11,100,101. The numeral 10011 in the binary system would then be written in the decimal system as:

  1. 19

  2. 40

  3. 10011

  4. 11

  5. 7
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

binary(10011)= (1)*2^4 + (0)*2^3 + (0)*2^2 + (1)*2^1 + (1)*2^0

                     =16 + 0 + 0 + 2 + 1
                     =19.

Multiple choice maths decimal numbers adding and subtracting decimals addition and subtraction of decimals operations on decimals

The charges in a resort are shown.
Mr. Mohit drove to the resort with his wife and three children on Saturday at $1:30$p.m. They left the resort at $8$ p.m. How much did Mr. Mohit and his family have to pay in all?

Entrance Fee Rs. $40$ per car
Monday to Friday Rs. $15.50$ per passenger
Saturday and Sunday Rs. $22.50$ per passenger
Parking charges Rs. $10.60$ per half hour


  1. Rs. $250.30$
  2. Rs. $300.90$
  3. Rs. $267.80$
  4. Rs. $290.30$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total number of members in family $\rightarrow$ $5$

Time they spent at the resort $\rightarrow$ $6.5$ hr
Entrance fee $\rightarrow$ $40$
Charge of the members $\rightarrow$  ($22.5$$\times$$5$) $\rightarrow$ $112.5$
Parking charges $\rightarrow$ ($13$$\times$$10.60$) $\rightarrow$ $137.80$ (we took $13$ Since charges are given for half an hour)
Total amount to be paid $\rightarrow$ $40$ + $112.5$ + $137.80$ $\rightarrow$ $290.30$
Hence, Option D is correct answer.


Multiple choice maths fun with numbers some special sequences triangular numbers properties and patterns of perfect squares

If $\displaystyle { a }^{ 2 }$ ends in 5, then $\displaystyle { a }^{ 3 }$ ends in 25.

  1. True

  2. False

  3. Ambiguous

  4. Insufficient information
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

False. 15 x 15=225 and 15 x 15 x 15=3375. so the statement $\displaystyle { a }^{ 2 }$ ends in 5, then $\displaystyle { a }^{ 3 }$ ends in 25 is not true in all cases.

Multiple choice maths fun with numbers some special sequences triangular numbers properties and patterns of perfect squares

If $\displaystyle n = 1 + x $, where $x$ is the product of four consecutive positive integers then which of the following is/are true:
A) n is odd

B) n is prime
C) n is a perfect square

  1. A and C only

  2. A and B only

  3. A only

  4. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let us take $\displaystyle x=1\times2\times3\times4=24 $

Then $\displaystyle n=1+24=25$
i.e. an odd number and a perfect square
Again let $\displaystyle x=2\times3\times4\times5=120.$
Then, $\displaystyle n=1+120=121$
i.e. an odd number and a perfect square
$\displaystyle \therefore $ Option (A) is correct