37
Q:

A, B, C, D and E play a game of cards. A says to B, "If you give me 3 cards, you will have as many as I have at this moment while if D takes 5 cards from you, he will have as many as E has." A and C together have twice as many cards as E has. B and D together also have the same number of cards as A and C taken together. If together they have 150 cards, how many cards has C got ?

 A) 28 B) 29 C) 31 D) 35

Explanation:

Clearly, we have :

A = B - 3 ...(i)

D + 5 = E ...(ii)

A+C = 2E ...(iii)

B + D = A+C = 2E ...(iv)

A+B + C + D + E=150 ...(v)

From (iii), (iv) and (v), we get: 5E = 150 or E = 30.

Putting E = 30 in (ii), we get: D = 25.

Putting E = 30 and D = 25 in (iv), we get: B = 35.

Putting B = 35 in (i), we get: A = 32.

Putting A = 32 and E = 30 in (iii), we get: C = 28.

Q:

A plane is an undefined term because it

 A) is a flat surface that extends indefinitely in all directions B) is where other geometric shapes can be constructed C) is described generally, not using a formal definition D) can be named using three noncollinear points

Answer & Explanation Answer: C) is described generally, not using a formal definition

Explanation:

In geometry, we can define plane as a flat surface with no thickness.

The surface extends with no ends.

A plane does not have any edges even if we draw it on paper with edges, it does't mean it has edges.

Hence, A plane is an undefined term because it is described generally, not using a formal definition.

0 33
Q:

Absolute value of 9?

 A) 0 B) 9 C) 8 D) -9

Explanation:

Absolute value of a number :

It means that the distance of a number from 0 on a number line.

Here absolute value of 9 is that on a number line 9 is 9 units away from 0. Hence its absolute value is 9. Similarly, absolute value of -9 means -9 is also 9 units away from the 0 on number line. Hence, absolute value of -9 is also 9.

Hence, the absolute value of 9 is 9.

1 75
Q:

What is the value of 62 tens?

 A) 6 B) 620 C) 62 D) 2

Explanation:

Here in the question it is asked that 62 tens, which implies ten times of 62.

=> 62 x 10 = 620.

Hence, the value of 62 tens = 620.

2 69
Q:

Is a square a rhombus?

 A) TRUE B) FALSE

Explanation:

Yes, a square is a rhombus. But a rhombus is not a square unless the interior angles are at right angles.

We know that, a square is a quadrilateral with all sides equal and all the interior angles are 90 deg i.e, at right angles.

Whereas

a rhombus is also a quadrilateral with all sides equal but the interior angles are not at right angles. Hence, if the interior angles of a rhombus are all at right angles (90 deg), then it is square.

0 82
Q:

How many times can you subtract 5 from 25?

Technically or logically it is possible only once. As if you subtract 5 from 25 at first te result will be 20. Now, you can't subtract 5 from 25 since the left number is 20.

But if you go mathematically, it can be done infinite times and only 5 times without going into the negatives.

140
Q:

18 tens 20 ones =

 A) 1820 B) 180 C) 200 D) 160

Explanation:

18 tens 20 ones, the given stateent can be split into

18 tens = 18 x 10 = 180

20 ones = 20 x 1 = 20

Then add both => 180 + 20 = 200

Hence, 18 tens 20 ones = 200.

1 192
Q:

What is the reciprocal of a negative number?

The reciprocal of a negative number is always a negative number. So that the number and its reciprocal multiply to 1.

All real numbers except 0 have reciprocals.

164
Q:

Points that lie on the same line are called

 A) Congruent B) Coplanar points C) Collinear points D) None