CUET2025-General Test-25/08/2024

CUET2025-General Test-25/08/2024

CUET2025-General Test-25/08/2024

प्रिय स्टूडेंट्स, CUET2025-General Test-25/08/2024 की 215वीं पोस्ट पर आपका स्वागत हैI पिछली 214 पोस्ट्स आप website cuetnow.com पर व्यू कर सकते हैI

माननीय गुरुजनों से निवेदन है कि आप CUET2025-General Test-25/08/2024  को अपने स्टूडेंट्स को जरुर रिकमेंड करें। ख़ासकर उन गर्ल्स को जो गरीबी और अशिक्षा की वजह से अपनी ड्रीम कॉलेज तक नही पहुँच पाती। यह वेबसाइट बिल्कुल निःशुल्क हैI

आज की पोस्ट इसप्रकार है:

Q 2774) In 80 litres mixture of milk and water, the ratio of amount of milk to that of amount of water is 7 : 3. In order to make this ratio 2 : 1, how many litres of water should be added ? (CUET’s General Test held on 29/05/2024)

Ans: 4 litres.

Solution: As given in the question, total mixture = 80 litres and the ratio of milk and water = 7 : 3. It means in mixture milk = 7/10 x 80 = 56 litres and water = 3/10 x 80 =24 litres.

Suppose, y litres of water is to be added in the mixture to make it in the ration 2 : 1, therefore, 56/24+y = 2/1; 56= 2 (24+y); 56= 48+2y; -2y = 48-56 =-8; -2y= -8; y=4 litres.

(Cross checking: 24+4 =28 is half of 56)

Q 2775) The average og 101 consecutive odd numbers is 303. Find the largest number ? (CUET’s General Test held on 29/05/2024)

Ans: 403

Solution: This question is taken from ‘Arithmetic Progression’. Suppose, first odd number is (2n+1); then, 2nd odd number will be (2n+1)+(2-1)(2)= 2n+3; 3rd odd number will be (2n+1)+(3-1)(2)= 2n+5 and 101th odd number will be (2n+1)+(101-1)(2)= (2n+1) + 200= 2n+201

We know that in Arithmetic Progression Sum Sn=(N/2)(a+L)

Here, N= Total odd numbers; a=first term; L= last term.

Sn =(101/2) (2n+1 + 2n+201) = (101/2) (4n+202) = 101(2n+101)

Now, Average = Sum/N; Sum/101; 303= 101(2n+101)/101; 303 = 2n +101;      -2n=101-303; -2n= -202; n=101

Last term (or largest term) = 2n+201 = 2×101 + 201= 40

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