SNAP 2024 Slot 1 : Quantitive Aptitude and Data Interpretation

If N= a*b where a,b are prime numbers, then what are the number of factors of N³ /b² 

X is a single digit number such that the LCM of the two digit number X6 and 54 is 108. What is the value of X?

If one of the roots of ax² + bx = c = 0is half of the other root, then which of the following conditions must be true?

In a two-digit number, the difference between the digits is 4, and 10 times the number is equal to 14 times the sum of the number obtained by adding the digits of the original and the number formed by reversing the digits. Find the number.

. A large cube of volume 64 cubic metre is broken down into small cubes of volume 8 cubic metre each. The percentage increase in the surface area is

A, B and C are employed to do a piece of work for Rs.700. A and B are supposed to finish 17/28th of work together. Then, Amount that is paid to C is?

A tank is fitted with 3 pipes A, B and C. A takes twice as much time to fill the tank as B takes to empty the tank. B takes twice as much time to empty the tank as C takes to fill the tank. If it is known that C takes 10 hours to fill the tank, in how much time three quarters of the tank will be filled provided that all the taps were opened simultaneously?

Sam and Ram run a 100 m race. Sam beats Ram by 20 m. Sam gives Ram a head start such that both Ram and Sam will be meeting each other at the 75 m mark. What will be the result of the race?

If cosec(30°) + cot(60°) = y. What is the value of y?

If a² = b³ = c⁴,

b² = d⁵ ,

then find the value of log_a  b x log_cd.