Logic Square Technologies

The ratio of boys to girls in a class in 7 to 3. Among the options below, an acceptable value for the total number of students in the class is:
21
37
50
73
ans: 50


A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits $8,000 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is: *
$600
$605
$16,600
$16.605
Ans: $605


Let the representation of a number in base 3 be 210. What is the hexadecimal representation of the number?
15
21
D2
528

Ans: Firstly convert base 3 into a decimal number system(Base 10):

(210)3=(x)10⟹0∗30+1∗31+2∗32=(21)10

Now convert (21)10
into a hexadecimal system. dividing by 16
that is: (21)10=(z)16              ∴z=(15)16         Option A is correct.

 

If the number 458X4 is divisible by 9, find the value of the digit marked as X.
4
5
6
7
Ans: 6

There are 8 batteries, but only 4 of them work. You have to use them for a flashlight which needs only 2 working batteries. To guarantee that the flashlight is turned on, what is the minimum number of battery pairs you need to test? *
4
6
7
8

Ans: 7 

A train of length 200 meters is moving at a speed of 80 km/hr. In what time it will cross a man who is running at 10 km/hr in opposite direction of the train? *
11 seconds
9 seconds
7 seconds
8 seconds
Ans: 8 sec
Time = Distance Covered / Speed
In this problem, both the train and man are in motion so we will find the relative speed of the train. They are moving in the opposite direction, so the relative speed = (speed of train + speed of man)
Relative Speed: (80+10) = 90 km/hr
Relative Speed in m/s= 90* 5/18 = 450 / 18 = 225/9 m/s
Distance covered to cross the man = length of the train (200 meters)
Time = 200/(225/9) = 200*9/225 = 1800/225 = 8 sec

 

What should be added to 1457 so that it is exactly divisible by 12? *
4
7
5
6
Ans: 7

1457%12 = 5 And 12-5 = 7 should be added.

There are 100 books in the library, divided into four categories.The books' ratio is as follows: 3 science fiction books to every two history books and four history books to every three comic books. The remaining books are art books.How many art books are there in the library, if we know that it holds nine comic books?
59
39
70
61
Ans: 61 art books are in the library

For every 3 science books, there are 2 history books:
S:H = 3:2

For every 4 history books, there are 3 comic books:
H:C = 4:3

From above, we have that S:H:C = 12:8:6(6:4:3)
if over all 9 books are comic then
18 r science books
12 r history books and remaining are arts books
thus there are 61 arts books(100-18-12-9)

Which number should come next in this series - 62 60 58 55 53 51 48 *
45 42
46 43
46 44
45 43
46 42



B2CD, _____, BCD4, B5CD, BC6D *
B2C2D
BC3D
B2C3D
BCD7


8 = 72, 2 = 6, 5 = 30, 9 = ?
9
108
90
45


The number of freckles on the nose of a 9-year-old girl named Kate has been growing at a rate of 100% per year ever since she was 5 years old (at which time she only had 2 freckles). What is the difference between Kate’s current number of freckles and the average number of freckles she had from the time she was 5?
4
19.6
12.8
18.4


The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is $5. The sum is: *
$2,400
$2,500
$2,600
$2,560



Blueberries cost more than strawberries. Blueberries cost less than raspberries. Raspberries cost more than strawberries and blueberries. If the first two statements are true, the third statement is *
True
False
Uncertain



If 5 coins are tossed, what is the probability that exactly 3 of them would be heads? *
5/12
3/16
3/5
5/16



A 60 liter mixture of milk and water contains 10% water. How much water must be added to make water 20% in the mixture? *
8 liters
7.5 liters
7 liters
6.5 liters