CUET General Aptitude Test PYQ || CUET GT Practice Question

Q. 46. The average of eight numbers is 6. If each number is multiplied by 5, then the average of the new set of numbers is

(A) 25

(B) 30

(D) 40

Answer:

Explanation:

When each number in a dataset is multiplied by a constant, the average is also multiplied by that same constant. So,

6 \times 5 = 30

Q. 47. A train running at a speed 360 km/hr passes a platform with double length in 30 sec. Find the length of platform.

(A) 3 km

(B) 2 km

(D) 1 km

Answer:

Explanation:

Speed = 360 km/hr = 100 m/s. In 30s, the train covers

100 \times 30 = 3000\text{ m}

. Total distance = Length of train ($L$) + Length of platform ($2L$). So,

3L = 3000\text{ m} \rightarrow L = 1000\text{ m}

. The platform is

2L = 2000\text{ m}

or 2 km.

Q. 48. The simple interest of an amount is 16/25 of the principal. Find the rate % PA, if the time and rate both are numerically equal.

(A) 8%

(B) 4%

(D) 16%

Answer:

Explanation:

Simple Interest formula is

SI = P \times R \times T / 100

. Given

SI = \frac{16}{25}P

and $R = T$. Therefore,

\frac{16}{25}P = P \times R^2 / 100 \rightarrow R^2 = \frac{1600}{25} = 64 \rightarrow R = 8\%

Q. 49. Consider the series: 2, 3, 5, 7, 11, 13, 17, 19, 21, 23, 29. Find the number which is different from other similar numbers.

(A) 29

(B) 23

(D) 21

Answer:

Explanation:

The series lists prime numbers. 21 is a composite number (

3 \times 7

), making it the odd one out in this sequence.

Q. 50. Find the value of $(\sqrt[3]{\frac{125}{27}}-\sqrt[3]{\frac{512}{729}})\div\sqrt[3]{\frac{64}{5832}}$

(A) 2.5

(B) 3.5

(D) 5.5

Answer:

Explanation:

Finding the cube roots:

\frac{5}{3} – \frac{8}{9} = \frac{15-8}{9} = \frac{7}{9}

. The divisor is

\frac{4}{18} = \frac{2}{9}

. Division yields

\frac{7}{9} \times \frac{9}{2} = \frac{7}{2} = 3.5

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