4
Q:

# Five farmers have 7,9,11,13 & 14 apple trees respectively in their orchards. Last year each of them discovered that every tree in their own orchard yields exactly the same number of apples. Further, if the 3rd farmer gives one apple to the 1st and the 5th gives 3 to each of the 2nd & d 4th, they would all exactly have the same number of apples, what were the yields per tree in the orchards of the 3rd & 4th farmers ?

 A) 17 & 9 B) 9 & 11 C) 9 & 9 D) 11 & 9

Explanation:

Let the number of apples in each tree of the 5 farmers be a, b, c, d,e respectively. Therefore total no of apples are 7a, 9b, 11c, 13d and 14e respectively.

Given,
7a+1 = 9b+3 = 11c-1 = 13d+3 = 14e-6 = x

9b+3 = 13d+3
===> 9b = 13d
so take b = 13 and d = 9

9b+3 = 9*13+3 = 120
ie, x=120

substituting
7a+1 = 120
7a = 119
a = 17

11c-1 = 120
11c = 121
c=11

14e-6 = 120
14e = 126
e = 9

Yields per tree in the orchards of d 3rd & 4th farmers= 11,9

Q:

Which statement best compares a line and a point?

 A) A point has no dimension and a line has one dimension. B) A line can have line segments on it whereas a point cannot be on any line segment. C) point is a location whereas a line has several planes located on it D) A line can lie on a plane whereas a point cannot lie on a plane.

Answer & Explanation Answer: A) A point has no dimension and a line has one dimension.

Explanation:

A point has no dimension and a line has one dimension is the statement that best compares a line and a point.

0 36
Q:

9 tens 10 ones equals

 A) 910 B) 90 C) 91 D) 100

Explanation:

9 tens 10 ones equals

=> 9 x 10 + 10 x 1

=> 90 + 10

=> 100.

0 44
Q:

What is the value of 28 tens?

 A) 28 B) 2 C) 2800 D) 280

Explanation:

Here asked for the value of 28 tens

=> 28 x 10 = 280.

1 97
Q:

How many right angles does a square have?

 A) 2 B) 6 C) 4 D) 8

Explanation:

A square and a rectangle each have 4 right (90 deg) angles.

Both square and rctangle have 4 sides and 4 angles, but the only difference is square is a rectangle with all sides equal.

1 138
Q:

What is the distance around a shape called?

 A) Volume B) Area C) Mass D) Perimeter

Explanation:

The distance around a shape or figure I called Perimeter. A perimeter is a path that surrounds a two-dimensional shape.

2 122
Q:

"Compounding frequency" refers to

 A) What type of interest your account earns B) How often your interest is calculated and added back into your account C) What interest rate you can expect from your account D) How easily you can add money into your account

Explanation:

Compounding frequency :

The time periods when interest will be calculated on top of the original loan amount (or) The number of compounding periods in one year.

The greater the compounding frequency, the more often your interest is calculated and added back into your account.

0 171
Q:

How many inches is 5' 4"?

 A) 66 B) 64 C) 62 D) 60

Explanation:

We know 1 feet = 12 inches.

According to the question,

5' 4''  =  5 feet 4 inches = 12 x 5 + 4 = 64 inches.

Hence,  5' 4''  =  5 feet 4 inches = 64 inches.

0 158
Q:

Multiplicative inverse of 0

 A) 0 B) 1 C) infinity D) None of the above