Explanation

نقار خانے میں طوطی کی آواز کون سنتا ہے کی کہاوت کا مطلب ہے کہ شور شرابے اور ہُلَّڑ بازی میں کسی کمزور یا غیر اہم آواز کو کوئی نہیں سنتا. بڑے آدمیوں کی رائے کے سامنے چھوٹے آدمی کی رائے یا آواز بے اثر رہتی ہے اور کوئی توجہ نہیں دیتا. 

Explanation

20% of a number = 18  

⇒ (20/100) × number = 18  

⇒ number = 18 × (100/20) = 90

Explanation

LCM of 12 and 15:

- Prime factors of 12 = 2² × 3  

- Prime factors of 15 = 3 × 5  

- LCM = 2² × 3 × 5 = 60

Explanation

sin α = 4/5 ⇒ cos α = 3/5 (from Pythagoras)  

cos(2α) = 2cos²α − 1 = 2*(9/25) − 1 = 18/25 − 25/25 = −7/25  

Explanation

Bait-e-Rizwan took place in 6th Hijrah.

Bait Rizwan was the pledge taken to get revenge of Hazrat Usman (RA) under the tree known as Rizwan

Bait-e-Rizwan is also known as Bait-e-Shajra made under the Keekar tree.

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Explanation

The first Abbasid caliph, al-Saffāḥ , ordered the elimination of the entire Umayyad clan;

The only Umayyad of note who escaped was ʿAbd al-Raḥman, who made his way to Spain and established an Umayyad dynasty that lasted until 1031.

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Abbasid caliphate, second of the two great dynasties of the Muslim empire of the caliphate.

It overthrew the Umayyad caliphate in 750 ce and reigned as the Abbasid caliphate until it was destroyed by the Mongol invasion in 1258.

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Remember Tips

یاد کرنے کے لیے

1. Rashidin -30 years
2. Umayyad -100 years
3. Abbasid - 500 years
4. Ottoman Empire - 600 years

Explanation

4x + 4y = 12 is just a multiple of x + y = 3 → same line.

The equation 4x + 4y = 12 is just a multiple of x + y = 3 (multiply both sides by 4).  

So, both equations represent the same line, meaning they intersect at all points on that line.

Explanation

x:y = 7:8 → multiply both by 5 ⇒ x:y = 35:40  

y:z = 5:6 → multiply both by 8 ⇒ y:z = 40:48  

So x:z = 35:48

Explanation

30 = 2 × 3 × 5  

36 = 2² × 3²  

LCM = 2² × 3² × 5 = 180

Explanation

= (27)^(-1/3)

= 1 / (27)^(1/3)

= 1 / 3