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Two-fifths of one-fourth of three-sevenths of a number is 15. What is half of that number?
Answer: (b)
$2/5×1/4×3/7×x=15$
$∴x/2={5×7×2×5}/2$= 25 × 7 = 175
The sum of three consecutive even numbers is 14 less than one-fourth of 176. What is the middle number?
Answer: (e)
Let the middle no.= x
(x – 2) + x + (x + 2) = $176/4$– 14 or,
3x = $120/4$ or, x = 10
By the how much is two-fifth of 200 greater than three - fifths of 125?
Answer: (d)
Reqd no. = $2/5×200-3/5×125$
= 80 – 75 = 5
If the digit in the unit's place of a two-digit number is halved and the digit in the ten's place is doubled, the number thus, obtained is equal to the number obtained by interchanging the digits. Which of the following is definitely true?
Answer: (a)
Suppose the two-digit number is
10 x + y
Then, 10 y + x = 20x + y/2
or 20y + 2x = 40x + y or, y = 2x
If 2x + y = 15, 2y + z = 25 and 2z + x = 26, what is the value of z?
Answer: (b)
2x + y = 15 fi y = 15 – 2 x ..... (i)
2y + z = 25 ⇒ 2(15 – 2x) + z = 25 [from (i)]
⇒ 4x – z = 5 ..... (ii)
and 2z + x = 26 ..... (iii)
Combining equation (ii) and (iii), we get z = 11
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