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What is the condition for parallel lines

Two lines are said to be parallel lines when these two lines do not intersect when they are extended infinitely... View Article

Find the arithmetic mean of first five prime numbers

The first five prime numbers are: 2,3,5,7,11 The arithmetic mean of these first five prime numbers are: Sum/no.of terms =... View Article

Find the median of the following data12 17 3 14 5 8 7 15

The given set of numbers are: 12, 17, 3, 14, 5, 8, 7, 15 No.of observations, n = 8 When... View Article

2^35 divided by 5 remainder ?

235/5 = 2(4×8+3)/5 = 168 x 8 /5 Therefore, the remainder is 1 8/5 remainder is 3 Therefore, remainder =... View Article

Which number should be added to 195 so that it becomes prime?

Two (2) should be added to 195 so that it becomes 197, a prime number.

The sides of a pentagonal field (not regular) are 1737 metres, 2160 metres, 2358 metres, 1422 metres and 2214 respectively. Find the greatest length of the tape by which the five sides may be measured completely. a)7 b)13 c)11 d)9

Option: d)9

Find the chance of drawing 2 blue balls in succession from a bag containing 5 red and 7 blue balls, if the balls are not being replaced. a)21/64 b)7/22 c)21/66 d)3/13

Option b)7/22

write true or false : No cube can end with exactly two zeros

True

A Boy read 3/8 of the book on one day and 4/5 of the remainder on the other day if there were 30 pages unread,how many pages did the book contain?

If 3/8 of the book were read the first day, 5/8 part were remaining 4/5 of 5/8 = 4/5 *... View Article

398=964, 118=164, 356=936, 423= ?

423 = 169 (4*4 3*3)

Integrate the function integration of tan^-1x dx.

Answer: \(\begin{array}{l}\int tan^{-1}\, dx = xtan^{-1}(x)-\frac{1}{2}\log(1+x^{2})+c\end{array} \). Let us use the formula ∫uv dx = u ∫vdx – ∫[du/dx ×... View Article

two different dice are tossed together, find the probability (i) of getting a doublet, (ii) of getting a sum of 10, the number on the two dice.

When two dice are tossed together, the total possible outcomes are 62 = 36 When the probability is a doublet... View Article

Simplify. (2x+5)square -(2x-5)square?

Using the formula \(\begin{array}{l}a^{2}-b^{2}=(a-b)(a+b)\end{array} \) \(\begin{array}{l}(2x+5)^{2}-(2x-5)^{2}= {2x^{2}+2(2x)(5)+5^{2}} – {2x^{2}-2(2x)(5)+5^{2}}\end{array} \) =0+40x+0 =40x

ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD. Show that (i) ΔAPB ≅ ΔCQD (ii) AP = CQ

To prove : (i) ΔAPB ≅ ΔCQD \(\begin{array}{l}since AB parallel DC\end{array} \) and transversal BD. \(\begin{array}{l}angle ABP=angle CDQ\end{array} \) ————-... View Article

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