Loader

MBA Entrance Exams / #XAT

April 16, 2018 @ 06:35 PM

Manav Rachna banner

April 16, 2018 @ 06:35 PM

XAT 2019: Quantitative Reasoning - Number Puzzles

XAT 2019 takers in January 2019 are advised to read following important questions on Quantitative Reasoning - Numbers Puzzles

Bonus : Download XAT Tips PDF to crack XAT Exam 2019

Question 1)

How many squares can be formed using the checkered 1 * 1 squares in a normal chessboard?

  1. 64 squares
  2. 204 squares
  3. 1296 squares
  4. 65 squares

Answer)

Option (2). 204 squares

Explanatory Answers)

  • There are 64 (1 * 1) squares in a chess board
  • There are 49 (2 * 2) squares in a chess board
  • There are 36 (3 * 3) squares in a chess board
  • There are 25 (4 * 4) squares in a chess board
  • There are 16 (5 * 5) squares in a chess board
  • There are 9 (6 * 6) squares in a chess board
  • There are 4 (7 * 7) squares in a chess board
  • There is 1 (8 * 8) square in a chess board

The number of squares that can be formed using the 1 * 1 checkered squares of a chess board is therefore, given by the relation 12 + 22 + 32 + 42 + ... + 82 = 204

Question 2)

How many digits will the number 3200 have if the value of log103 = 0.4771?

  1. 95
  2. 94
  3. 96
  4. 91

Answer)

Option (3). 96 digits

Explanatory Answers)

The logarithm of any number has two components. The characteristic and the mantissa.

Take for example, log103, the value of log103 = 0.4771.

Here, the 0 in the integral part is known as the characteristic and the value .4771 is known as the mantissa.

The value of log1030 is 1.4771.

Notice that the value of mantissa remained the same while that of the characteristic changed from 0 to 1.

Given the log of anumber, we will be able to find out the number of digits that the original number had by knowing the value of the characteristic.

  • If the characteristic is '0', then the number is a single digit number
  • If the characteristic is '1', then the number is a two-digit number
  • If the characteristic is '5', then the number is a six-digit number
 

In the given problem, we need to find the number of digits of 3200.

If we take log we get log103200 = 200(log103) = 200 (0.4771) = 95.42.

Here, the characteristic is 95. Therefore, the number will have 96 digits.

Stay informed, Stay ahead and stay inspired with MBA Rendezvous 

Crucial Dates, You Should not Miss

Manav Rachna International Institute
of Research

Admissions Open for all MBA programme at Manav Rachna International Institute of
Research and Studies.
GITAM School of International Business, Visakhapatnam
Admissions open for MBA programmes at GITAM. Application Deadline is May 30, 2018
Birla Global University
Admission 2018 Open for MBA at Birla Global University
Institute of Public Enterprise, Hyderabad
Last Date to Apply for IPE, Hyderabad is 31 May, 2018