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

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 |

Explanation:

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

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.**

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.

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.

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. |

Explanation:

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

A) 910 | B) 90 |

C) 91 | D) 100 |

Explanation:

9 tens 10 ones equals

=> 9 x 10 + 10 x 1

=> 90 + 10

=> 100.

A) 28 | B) 2 |

C) 2800 | D) 280 |

Explanation:

Here asked for the value of 28 tens

=> 28 x 10 = 280.

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.