Find the wrong number.
1. 24
14 26 17
28 16 30
[Ans:-(2)]
(1) 14 (2) 17
(3) 36 (4) 16 (5) 28
2. 5 6
16 57 248
1245 7506 [Ans:-(4)]
(1) 6 (2) 16
(3) 57 (4) 248
(5) 124
3. 2 9 32
105 436 2195
13182 [Ans:-(5)]
(1) 2195 (2) 105 (3) 436 (4) 9 (5) 32
4. 11
6 8 12
26 67.5 205.5
[Ans:-(1)]
(1) 8 (2) 6
(3) 26 (4) 67.5 (5) 12
5. 3
16 113 673
3361 13441 40321
[Ans:-(3)]
(1) 13441 (2) 673 (3) 16
(4) 3361 (5) 28
Solution:
Detailed Explanation:
Concept: More than 90% questions
can be classified on the basis of “slop”. Maximum Slop, Average Slop and
Minimum Slop – these are the mainly three types or slop. There is one more type
of slop - mean slop.
(1) In the Minimum Slop, the terms
are obtained by adding some numbers. In this type of slop, terms are not become
multiple.
(2) In other two types of slops,
terms become multiple. In the Average Slop, terms become multiple equally, i.
e., slops are as: ×2×2×2×2×2…. Or ×1.5×1.5×1.5×1.5×1.5…. or ×3×3×3×3×3×3×…….,
and something added or subtracted also.
(3) In the Maximum Slop, terms
become multiple, but not equally. It is either increasing or decreasing i. e., slops are as: ×1×2×3×4×5….
Or ×1.5×3×4.5×6×7.5…. or ×2×4×6×8×10×……., and something added or subtracted
also.
(4) In the Mean Slop, terms become
multiple, but not equally, but not so much sharp. It is either increasing or decreasing
i. e., slops are as: ×0.5×1×1.5×2.5×3…. etc. and some
thing added or subtracted also.
(5) There is an “Ups
and down” series also. In this series there are two types; one, in which
multiplication and division are in alternately used, and another, in which
addition and subtraction are alternately used. If slop is sharp, then the case
is of probably of multiplication and division and if the slop is less sharp,
then the case is of probably of addition and subtraction.
(6) Some other
rule may be associated in the series. Sometimes, any term in a series is the sum
of its just previous two terms throughout the series. Or, any term in a series
is the product of its just previous two terms throughout the series.
1. Solution: This is an “Ups and
down” series (type v). Here continuously divided by 2, then multiply by and so
on. Also, when divided by 2, then 2 is added and when multiplied by 2, then 2
is subtracted and so on.
÷2+2 ×2-2
÷2+2 ×2-2 ÷2+2 ×2-2 ÷2+2
1. Solution:
24 14 26 17 28 16
30
Here 17 is
wrong.
2. Solution:
This is type III series. Slop is “Maximum”. Terms are multiplied by 1, 2, 3, 4,
5, 6 respectively and 12, 22, 32, 42,
52, 62 are successively
added.
×1+12 ×2+22 ×3+32 ×4+42 ×5+52 ×6+62
2. Sol.: 5 6
16 57 248 1245
7506
248 is wrong.
3. Solution: This
is also a type III series. Slop is “Maximum”. Terms are multiplied by 1, 2, 3,
4, 5, 6 respectively; but the added terms, which are multiplied, are
complimentary to eight. 1+7 = 8, 2+6 = 8, 3+5 = 8, 4+4 = 8, 5+3 =8 and so on.
×1+1×7 ×2+2×6
×3+3×5 ×4+4×4 ×5+5×3 ×6+6×2
3. Sol.:
2 9 32 105 436 2195
13182
32 is wrong.
4. Solution: This series is an
example of “Mean Slop” (Type IV). Terms are multiplied by 0.5,
1, 1.5, 2, 2.5 3 respectively; and then added 0.5, 1, 1.5, 2, 2.5 3
respectively also.
×(0.5)+(0.5)
×(1)+(1) ×(1.5)+(1.5) ×(2)+(2) ×(2.5)+(2.5)
×(3)+(3)
4. Sol.:
11 6 8
12 26
67.5 205.5
8 is wrong.
5. Solution: This is also a type III series. Slop is “Maximum”. Terms are
multiplied by 8, 7, 6, 5, 4, 3 respectively; but 7, 6, 5, 4, 3, 2 are
subtracted and added alternately throughout the series.
×8-7 ×7+6 ×6-5 ×5+4 ×4-3 ×3+2
5. Sol.: 3 16 113 673 3361 13441 40321
16 is wrong.
====================================================================================================================================
No comments:
Post a Comment