Question : What is the total number of factors of the number 840 except 1 and the number itself?
Option 1: 29
Option 2: 30
Option 3: 28
Option 4: 31
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Correct Answer: 30
Solution : Given number = 840 We can write it as, $2^3×3×5×7$ Now, Total factors $=(3+1)×(1+1)×(1+1)×(1+1)=4×2×2×2=32$ ⇒ Total number of factors apart from 1 and 840 itself = 32 – 2 = 30 Hence, the correct answer is 30.
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Question : Calculate the total number of prime factors in the expression $(4)^{11}×(5)^{5}×(3)^{2}×(13)^{2}$.
Option 1: 30
Option 2: 31
Option 3: 33
Option 4: 32
Question : If the heights of two cylinders are in the ratio of 2 : 3 and their radii are in the ratio of 6 : 5, then what is the ratio of the volumes of the cylinders?
Option 1: 24 : 29
Option 2: 21 : 31
Option 3: 24 : 25
Option 4: 28 : 31
Question : As of 2022, there are ______ states in India.
Option 2: 28
Option 3: 31
Option 4: 21
Question : How many states are there in the Indian Union?
Option 1: 27
Option 3: 30
Option 4: 29
Question : Directions: In the following question, find the wrong number in the given series. 12, 28, 30, 39, 48
Option 1: 28
Option 2: 39
Option 4: 15
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