12
Q:

Ajay and Vijay have some marbles with them. Ajay told Vijay "if you give me 'x' marbles, both of us will have equal number of marbles". Vijay then told Ajay "if you give me twice as many marbles, I will have 30 more marbles than you would". Find 'x'  ?

A) 4 B) 10
C) 8 D) 5

Answer:   D) 5



Explanation:

If Vijay gives 'x' marbles to Ajay then Vijay and Ajay would have V - x and A + x marbles.
V - x = A + x --- (1)
If Ajay gives 2x marbles to Vijay then Ajay and Vijay would have A - 2x and V + 2x marbles.
V + 2x - (A - 2x) = 30 => V - A + 4x = 30 --- (2)
From (1) we have V - A = 2x
Substituting V - A = 2x in (2)
6x = 30 => x = 5.

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.

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0 57
Q:

Name a pair of complementary angles?

name_a_pair_of_complementary_angles1535013814.png image

A) B + C B) A + C
C) C + C D) B + A
 
Answer & Explanation Answer: 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.

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2 160
Q:

Two angles whose sum is 90 are

A) Supplementary angles B) corresponding angles
C) Complimentary angles D) Alternate angles
 
Answer & Explanation Answer: C) Complimentary angles

Explanation:

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

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2 305
Q:

Smallest prime number greater than 200?

A) 201 B) 205
C) 211 D) 203
 
Answer & Explanation Answer: C) 211

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.

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1 307
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.

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1 480
Q:

9 tens 10 ones equals

A) 910 B) 90
C) 91 D) 100
 
Answer & Explanation Answer: D) 100

Explanation:

9 tens 10 ones equals

=> 9 x 10 + 10 x 1

=> 90 + 10

=> 100.

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0 442
Q:

What is the value of 28 tens?

A) 28 B) 2
C) 2800 D) 280
 
Answer & Explanation Answer: D) 280

Explanation:

Here asked for the value of 28 tens

=> 28 x 10 = 280.

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1 462
Q:

How many right angles does a square have?

A) 2 B) 6
C) 4 D) 8
 
Answer & Explanation Answer: C) 4

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.

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1 441