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:

What does it mean to calculate frequencies within a dataset?

 A) to calculate the product of two variables to make a third variable B) to count the number of cases that fall into different subgroups within a dataset C) to count the number of times a dataset is used by a student D) to calculate the sum of a column of variables in a dataset

Answer & Explanation Answer: B) to count the number of cases that fall into different subgroups within a dataset

Explanation:

Frequency is what means how many times the event occurs in the same period.

0 68
Q:

Name a pair of complementary angles?

 A) B + C B) A + C C) C + C D) B + A

Explanation:

Complementary angles are those whose sum is 90.

Given here, is a right angled triangle, where anfle C is 90 deg. In this, sum of Angles A + C = 90, since, sum of angles in a right angled triangle = 180, angle C = 90 and

hence sum of A + B = 180 - C = 180 - 90 = 90.

Hence, the pair of cimplementary angles in the given triangle = Angle A + B.

2 171
Q:

Two angles whose sum is 90 are

 A) Supplementary angles B) corresponding angles C) Complimentary angles D) Alternate angles

Explanation:

Complimentary angles are those two angles whose sum is 90 whereas two angles whose sum is 180 are called Supplementary angles.

2 313
Q:

Smallest prime number greater than 200?

 A) 201 B) 205 C) 211 D) 203

Explanation:

From the trial and error method of division,

201 is divisible by 3

205 is divisible by 5

203 is divisible by 7

Hence, after eliminating three options, remained is 211 and is divisible by only 1 and itself.

Therefore, 211 is the smallest prime number greater than 200.

1 316
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.

1 491
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.

0 449
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.

1 478
Q:

How many right angles does a square have?

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