1
Q:

O and O' are the center of the two circles with radii 7cm and 9cm respectively. The distance between the centers is 20cm. If PQ be the transverse common tangent to the circles, which cuts OO' at X, what is the length of O'X in cm ?

A) 10 B) 6
C) 35/4 D) 45/4

Answer:   D) 45/4



Explanation:

As clear from the figure itself, triangle OQX and triangle O'PX are similar.

So,

OQ/O'P = OX/O'X

=> OX = (7/9)xO'X

And since, OX + O'X = 20

=> (7/9)xO'X + O'X = 20

=> O'X = 45/4

Q:

The complexity of linear search algorithm is

A) O(n2) B) O(n log n)
C) O(n) D) O(log n)
 
Answer & Explanation Answer: C) O(n)

Explanation:

The worst case complexity of linear search is O(n).

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0 77
Q:

With similar triangles the corresponding angles are equal.

A) TRUE B) FALSE
Answer & Explanation Answer: A) TRUE

Explanation:

The given statement about similar triangles is TRUE.


 


Similar Triangles Theorem :: Similar triangles are two triangles with corresponding angles of equal measure, and the ratios of their corresponding sides' lengths are equal.

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1 123
Q:

When is 99 more than 100?

Answer

A microwave.


Generally when you run a microwave for '99' it runs for 1 minute and 39 seconds. '100' runs for 1 minute.

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1 157
Q:

Negative plus a positive equals

A) negative B) positive
C) zero D) Can't be determined
 
Answer & Explanation Answer: D) Can't be determined

Explanation:

We know that a negative value plus a positive value always count backward and the sign depends on the bigger value sign.

When you are adding a negative number to a positive number, then the value counts backward and takes the sign of the biggest number.

 

For example::

Adding -5 and +2

-5 + 2 = -3 (big number is 5 and its sign is '-')

 

Adding -3 and  +5

+5 + (-3) = 5 - 3 = +2(big number is 5 and it has sign '+').  

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0 199
Q:

How many black cards are in a deck?

A) 13 B) 26
C) 39 D) 52
 
Answer & Explanation Answer: B) 26

Explanation:

The total cards in the deck are 52. These 52 cards are divided into 4 suits of 13 cards in each suit. Two Red suits and Two black suits.

Red suits :: Heart suit and Diamond suit = 26

Black suits :: Spade suit and Club suit = 26.

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0 234
Q:

6 choose 3 =

A) 20 B) 30
C) 18 D) 24
 
Answer & Explanation Answer: A) 20

Explanation:

6 choose 3 means number of possible unordered combinations when 3 items are selected from 6 available items i.e, nothing but 6C3.

Now 6C3 = 6 x 5 x 4/3 x 2 x 1 = 120/6 = 20.

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0 207
Q:

Which of the following is a Composite number?

A) 0 B) 19
C) 29 D) 91
 
Answer & Explanation Answer: D) 91

Explanation:

Here in the given numbers 91 is a Composite number. Since it has factors of 7 and 13 other than 1 and itself.

 

Composite Numbers :

A composite number is a positive integer which is not prime (i.e., which has factors other than 1 and itself).

Examples :: 4, 6, 8, 12, 14, 15, 18, 20, ...

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2 254
Q:

What is the value of a two–digit number?

A. The sum of the digits is 15.
B. The difference of the squares of the digits is 45.
C. The difference of their digits is 3.

A) B and C together are sufficient B) Any one pair of A and B, B and C or C and A is sufficient
C) C and A together are sufficient D) A and B together are sufficient
 
Answer & Explanation Answer: B) Any one pair of A and B, B and C or C and A is sufficient

Explanation:

From the given data,

Let the two gits of a number be x & y

A) x + y = 15

 

B) x2 - y2 = 45

(x+y) (x - y) = 45

 

C) x - y = 3

From any 2 of the given 3 statements, we can find that 2 digit number as 

2x = 18 => x = 9

=> y = 6

Hence, 2 digit number is 96.

 

Any one pair of A and B, B and C or C and A is sufficient to find.

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1 226