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Q:

Group the given figures into three classes using each figure only once.

A) 1,3,6 ; 4,5,8 ; 2,7,9 B) 2,3,9 ; 4,5,8 ; 1,6,7
C) 1,6,8 ; 3,7,9 ; 2,4,5 D) 3,8,9 ; 1,2,7 ; 4,5,6
 
Answer & Explanation Answer: C) 1,6,8 ; 3,7,9 ; 2,4,5

Explanation:

1,6,8 are figures composed of straight as well as curved lines

3,7,9 are closed figures shaded by oblique line segments

2,4,5 are figures composed of straight lines only.

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Filed Under: Grouping of Images

Q:

Find out which of the answer figures (a), (b), (c) and (d) completes the figure matrix ?

A) a B) b
C) c D) d
 
Answer & Explanation Answer: C) c

Explanation:

The second figure is obtained from the first figure by moving the line segment to the opposite side of the square boundary and replacing it with two similar line segments. Also, the element in the lower-left corner gets replaced by two similar elements - one placed in the upper-left and the other placed in the lower-right corner.

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Filed Under: Figure Matrix

Q:

What is the number of rectangles in the following figure?

A) 6 B) 7
C) 9 D) 11
 
Answer & Explanation Answer: C) 9

Explanation:

The simplest rectangles are AEHG, EFJH, FBKJ, JKCL and GILD i.e 5 in number.

The rectangles composed of two components each are AFJG and FBCL i.e 2 in number

Only one rectangle namely AFLD is composed of three components and only one rectangle namely ABCD is composed of five components.

Thus, there are 5 + 2 + 1 + 1 = 9 rectangles in the given figure.

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Filed Under: Analytical Reasoning

Q:

Find the value of 'n' for which the nth term of two AP'S:

15,12,9.... and -15,-13,-11...... are equal?

A) n = 2 B) n = 5
C) n = 29/5 D) n = 1
 
Answer & Explanation Answer: C) n = 29/5

Explanation:

Given are the two AP'S:

15,12,9.... in which a=15, d=-3.............(1) 

-15,-13,-11..... in which a'=-15 ,d'=2.....(2)

 

now using the nth term's formula,we get

a+(n-1)d = a'+(n-1)d'

substituting the value obtained in eq. 1 and 2,

15+(n-1) x (-3) = -15+(n-1) x 2

=> 15 - 3n + 3 = -15 + 2n - 2

=> 12 - 3n = -17 + 2n

=> 12+17 = 2n+3n

=> 29=5n

=> n= 29/5

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Filed Under: Permutations and Combinations
Job Role: Analyst

Q:

Find the wrong number in the following series?

1500, 1475, 1448, 1419, 1389, 1355, 1320

A) 1475 B) 1419
C) 1389 D) 1355
 
Answer & Explanation Answer: C) 1389

Explanation:

Take a look at the below sereies :

1500 - 25 = 1475

1475 - 27 = 1448

1448 - 29 = 1419

1419 - 31 = 1388

1388 - 33 = 1355

1355 - 35 = 1320

It clearly shows 1389 is Wrong Number

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Filed Under: Number Series

Q:

813  967  429  295  648

If the positions of the second and third digits in each of the numbers are interchanged , which of the following will be the sum of the sum of the three digits of the highest number?

A) 12 B) 15
C) 16 D) 22
 
Answer & Explanation Answer: D) 22

Explanation:
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Filed Under: Verbal Reasoning - Mental Ability
Exam Prep: Bank Exams
Job Role: Bank PO

Q:

In a Plane there are 37 straight lines, of which 13 pass through the point A and 11 pass through the point B. Besides, no three lines pass through one point, no lines passes through both points A and B , and no two are parallel. Find the number of points of intersection of the straight lines.

A) 525 B) 535
C) 545 D) 555
 
Answer & Explanation Answer: B) 535

Explanation:

The number of points of intersection of 37 lines is C237. But 13 straight lines out of the given 37 straight lines pass through the same point A.

 

Therefore instead of getting C213 points, we get only one point A. Similarly 11 straight lines out of the given 37 straight lines intersect at point B. Therefore instead of getting C211 points, we get only one point B.

 

 Hence the number of intersection points of the lines is C237-C213-C211 +2 = 535

 

 

 

 

 

 

 

  

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Filed Under: Permutations and Combinations
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

Q:

If the position of the first letter of English alphabet is interchanged with the position of the fourteenth letter, second letter with fifteenth letter, and so on, in such a way that M is interchanged with Z, then which of the following letters will be 7th to the right of 13th letter from the right?

A) U B) G
C) H D) I
 
Answer & Explanation Answer: C) H

Explanation:

It means that the first half of the alphabet is interchanged with second half of the alphabet. After making changes, nth letter from the left will be (n + 13)th letter of original series, ie English alphabet; If n is less than 14. But if n is more than 13, nth letter from left will be (n - 13)th letter from left.
In the given equation, we have to find out (13 - 7 =) 6th letter from right => (26 - 6 + 1 =) 21st letter from the left. Hence, required letter's position is more than 13; therefore the required letter is (21 - 13 =) 8th letter from left of original series, ie H.

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Filed Under: Alphabet Test