Question Detail

If p - q = 3 and
$\begin{aligned} p^2 + q^2 = 29 \end{aligned}$ , find the value of pq.

Answer: Option D

Explanation:

We know

$\begin{aligned} 2ab = (a^2 + b^2) - (a - b)^2 \end{aligned}$

$\begin{aligned} 2pq = 29 - 9 = 20 \end{aligned}$

$\begin{aligned} =>pq = 10 \end{aligned}$

1. 18800 / 470 / 20

Answer: Option B

Explanation:

18800 / 470 / 20 = (18800 / 470) / 20 = 40 / 20 = 2

2. $\begin{aligned} 3034 -(1002 \div 20.04) = ? \end{aligned}$

1964
1984
2964
2984

Answer: Option D

Explanation:

$\begin{aligned} = 3034 -( \frac{1002}{2004} \times 100) \end{aligned}$

$\begin{aligned} = 3034 - 50 = 2984 \end{aligned}$

3. In a group of ducks and buffaloes, the total number of legs are 24 more than twice the number of heads. Find the total number of buffaloes.

Answer: Option C

Explanation:

Let the number of buffaloes be x and the number of ducks be y
=> 4x + 2y = 2 (x + y) + 24

=> 2x = 24 => x = 12

4. Simplify
$\begin{aligned} 1+\frac{1}{2}+\frac{1}{4}+\frac{1}{7}+\frac{1}{14}+\frac{1}{28} = ? \end{aligned}$

Answer: Option A

Explanation:

By taking LCM we get
=

$\begin{aligned} \frac{28+14+7+4+2+1}{28} = \frac{56}{28} = 2\end{aligned}$

5. If p - q = 3 and
$\begin{aligned} p^2 + q^2 = 29 \end{aligned}$ , find the value of pq.

Answer: Option D

Explanation:

We know

$\begin{aligned} 2ab = (a^2 + b^2) - (a - b)^2 \end{aligned}$

$\begin{aligned} 2pq = 29 - 9 = 20 \end{aligned}$

$\begin{aligned} =>pq = 10 \end{aligned}$

ali 11 years ago

p2+2q2=4 and 2p2+q2= 34 then p2=?
ali 11 years ago

p2+2q2=4 and 2p2=q2= 34 then P2 =?????????

Question Detail

If p - q = 3 and
$\begin{aligned} p^2 + q^2 = 29 \end{aligned}$ , find the value of pq.

1. 18800 / 470 / 20

2. $\begin{aligned} 3034 -(1002 \div 20.04) = ? \end{aligned}$

3. In a group of ducks and buffaloes, the total number of legs are 24 more than twice the number of heads. Find the total number of buffaloes.

4. Simplify
$\begin{aligned} 1+\frac{1}{2}+\frac{1}{4}+\frac{1}{7}+\frac{1}{14}+\frac{1}{28} = ? \end{aligned}$

5. If p - q = 3 and
$\begin{aligned} p^2 + q^2 = 29 \end{aligned}$ , find the value of pq.

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ali 11 years ago

ali 11 years ago

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Question Detail

If p - q = 3 and p2+q2=29\begin{aligned} p^2 + q^2 = 29 \end{aligned}, find the value of pq.

1. 18800 / 470 / 20

2. 3034−(1002÷20.04)=?\begin{aligned} 3034 -(1002 \div 20.04) = ? \end{aligned}

3. In a group of ducks and buffaloes, the total number of legs are 24 more than twice the number of heads. Find the total number of buffaloes.

4. Simplify 1+12+14+17+114+128=?\begin{aligned} 1+\frac{1}{2}+\frac{1}{4}+\frac{1}{7}+\frac{1}{14}+\frac{1}{28} = ? \end{aligned}

5. If p - q = 3 and p2+q2=29\begin{aligned} p^2 + q^2 = 29 \end{aligned}, find the value of pq.

Thanks ! Your comment will be approved shortly !

ali 11 years ago

ali 11 years ago

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If p - q = 3 and
$\begin{aligned} p^2 + q^2 = 29 \end{aligned}$ , find the value of pq.

2. $\begin{aligned} 3034 -(1002 \div 20.04) = ? \end{aligned}$

4. Simplify
$\begin{aligned} 1+\frac{1}{2}+\frac{1}{4}+\frac{1}{7}+\frac{1}{14}+\frac{1}{28} = ? \end{aligned}$

5. If p - q = 3 and
$\begin{aligned} p^2 + q^2 = 29 \end{aligned}$ , find the value of pq.