CUET2024-General Test-28/05/2024

CUET2024-General Test-28/05/2024

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आज की पोस्ट इसप्रकार है:

Q 2605) Two numbers are in the ratio 9:11. If the sum of numbers is 200, then their difference will be —
(A) 15   (B) 18   (C) 20   (D) 23

Ans: (C) 20

Solution:
Suppose, the two numbers are 9y and 11y.

According to the question, 9y+11y=200; or, 20y=200; or, y=200/20 =10

Therefore, two numbers are, 9×10=90  and 11×10=110

Therefore, the difference of number is 110-90=20

Q 2606) The value of (9)3+(-17)3+(8)3 is —
(A) 3636    (B) 2672    (C) 3672   (D) -3672

Ans: (D) -3672

Solution:

We know that, a3 +b3 +c3 = 3abc if a+b+c=0

Here, a=9 + b=-17 + c=8 ; Total =0

Therefore, 3(9) (-17) (8) =-3672

Q 2607) The value of (1.7)3-(1.2)3/(1.7)2+1.7×1.2+(1.2)2

(A) 0.5      (B) 0.05     (C) 2.9      (D) 0.29

Ans: (A) 0.5

Solution:

We know that, a3-b3 =(a-b) (a2+ab+b2)

or, a3-b3/(a2+ab+b2) =(a-b)

Where, a=1.7 and b=1.2

Therefore, (1.7-1.2)(1.7)3-(1.2)3/(1.7)2+1.7×1.2+(1.2)2 = (1.7-1.2)       

or, (1.7)3-(1.2)3/(1.7)2+1.7×1.2+(1.2)2 =0.5

Q 2608) The value of (1.7)3+(1.2)3/(1.7)2-1.7×1.2+(1.2)2

(A) 0.5      (B) 29     (C) 0.29      (D) 2.9

Ans: (D) 2.9

Solution:

We know that, a3+b3 =(a+b) (a2-ab+b2)

or, a3+b3/(a2-ab+b2) =(a+b)

Where, a=1.7 and b=1.2

Therefore, 1.73+1.23/(1.7)2-1.7×1.2+(1.2)2=(1.7+1.2)

or, 1.73+1.23/(1.7)2-1.7×1.2+(1.2)2 =2.9

Q 2609) If 6 men can do a piece of work in 10 days, then in how many days 4 men will do the same work ?

(A) 7 days     (B) 8 days      (C) 10 days     (D) 12 days

Ans: (C) 10 days

Solution:

6 men can do a piece of work in 10 days

Therefore, one man can do the same work = 6×10=60 days.

Therefore, 4 men can do the same work = 60/4 =15 days.

Q 2610) In the given figure, PQ ⊥ PR, PQ II RS, ∠RQS=40° and ∠QST=75°, then z is —

CUET2024-General Test-28/05/2024

(A) 55°    (B) 60°      (C) 65°       (D) 68°

Ans: (A) 55°

Solution:

From the given figure PQ II RS

In ∆QRS, y+105°+40°=180°; or, y=180°-145°=35°

Therefore, In ∆PRQ, z+35°+90°=180°; or, z=180°-125°=55°                    

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General Test
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By Vimal Kumar Tulsyan

Vimal Kumar Tulsyan is a commerce graduate with more than 10 years of teaching experience in reasoning and aptitude. He founded the CUET NOW in September 2023. Its website, cuetnow.com provides students with free CUET UG GAT preparation resources and important MCQs to help them secure excellent marks in the CUET.