Question
Which one among $64^2, 108^2, 292^2, 36^2$ has the last digit $4 ?$

Answer

(i) $64^2$
The unit's digit of 64 is 4
$4 \times 4=16$ (last digit 6)

(ii) $108^2$
The unit's digit of 108 is 8
$8 \times 8=64$ (last digit 4)

(iii) $292^2$
The unit's digit of 292 is 2
$2 \times 2=4$ (last digit 4)

(iv) $36^2$
The unit's digit of 36 is 6
$6 \times 6=36$ (last digit 6)

Therefore, $108^2$ and $292^2$ have 4 as their last digits.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

The given table shows the crop production of a state in the year 2008 and 2009. Observe, the table given below and answer the given questions.
Crop2008 Harvest (in hectare)Increase/Decrease in 2009 (in hectare)
Bajra$1.4 \times 10^3$-100
Jowar$1.7 \times 10^6$-440000
Rice$3.7 \times 10^3$-100
Wheat$5.1 \times 10^5$190000
(i) For which crop(s) did the production decrease?
(ii) Write the production of all the crops in 2009 in their standard form.
(iii) Assuming the same decrease in rice production each year as in 2009, how many acres will be harvested in 2015 ? Write in standard form.
If two adjacent angles of a parallelogram are in the ratio $3: 7$, then find the measure of all the angles of the parallelogram.
Check which of the following are perfect cubes :
16000
A suitcase with measures $80 cm \times 48 cm \times 24 cm$ is to be covered with a tarpaulin cloth. How many metres of tarpaulin of width 96 cm is required to cover 100 such suitcases?
TIPS Firstly, find the total surface area of 1 suitcase. Here, the area of cloth used to cover 1 suitcase will be equal to surface area of 1 suitcase. Use this result to find the length of cloth required for 1 suitcase and then multiply it by 100 to get required length of cloth to cover 100 suitcases.
The students of Anju's class sold posters to raise money. Anju wanted to apply the concept of variation for finding the amount of money her class would make for different numbers of posters sold. She know that they could raise ₹ 250 for every 60 posters sold.
(i) How much money would Anju's class make for selling 102 posters?
(ii) If Anju's class raise exactly ₹ 2000, then how many posters would they need to sell?
Principal $=₹  1000$, Rate $=8 \%$ per annum. Fill in the following table and find which type of interest (simple or compound) changes in direct proportion with time period.
Time period1 yr2 yr3 yr
Simple interest (in ₹)
Compound interest (in ₹)
Find the coordinates of points $P, Q, R$ and $S$ in Figure.
A rectangular sheet of a paper is rolled in two different ways to form two different cylinders. Find the volume of cylinders in each case, if the sheet measures $44 cm \times 33 cm$.
Which of the following numbers are not perfect cubes?
(i) 216$\qquad$(ii) 128$\quad$(iii) 1000
(iv) 100$\quad~~$(v) 46656
"I take a number that leaves a remainder of 8 when divided by $12 . I$ take another number which is 4 short of a multiple of 12 . Their sum will always be a multiple of 8 ", claims Snehal. Examine his claim and justify your conclusion.