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CTS Placement Papers with Solution Page 131

(#M40007095) CTS QUESTION Sequence questions Keep an EYE

Find the next pair in the sequence - AB CA FB JA

1) OB 2) OC 3) NA 4) NB

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(#M40007094) CTS QUESTION Number and algebraic questions Keep an EYE

Three-fourth of a number is equal to 60% of another number and the difference between the two numbers is 20. What is the sum of the two numbers?

a) 220 b) 180 c) 170 d) 320

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(#M40007093) CTS QUESTION Number and algebraic questions Keep an EYE

If the remainder obtained by subtracting a number from its own square is 6 times the number, what is the number?

a)4 b) 3 c) 6 d) 7

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(#M40007092) CTS QUESTION Number and algebraic questions Keep an EYE

How many number in between 1 and 100 are there each of which is not only exactly divisible by 4 but does not have 4 as a digit?

a) 18 b) 17 c) 7 `d) 20

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(#M40007091) CTS QUESTION Number and algebraic questions Keep an EYE

If the numerator of a fraction is increased by 200% and the denominator is increased by 250% the resultant fraction is 3/14. What is the original fraction?

a) 1/2 b) 3/4 c) 1/4 d) 1/8

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(#M40007090) CTS QUESTION Number and algebraic questions Keep an EYE

The average of seven consecutive even numbers P,Q,R,S,T,U,V is 64. What is the product of P and V?

a) 4060 b) 3860 c) 4260 d) 4440

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(#M40007089) CTS QUESTION Number system questions Keep an EYE

Mr. Mukhambo has two numbers and say that their difference, their sum and their product are to one another as 1:7:24. Mukhambo wants to find out whether you can get him the product of those two numbers:

a) 24 b) 6 c) 48 d) 12

Solution

let the numbers are x and y so according to the given condition
x+y = 7k
x-y = k
and x*y = 24k
on solving 1st and 2nd equations we get x = 4k and y = 3k
so 4k*3k = 24k
or k = 2
so product of the numbers = 12(k^2) = 48

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(#M40007088) CTS QUESTION Number system questions Keep an EYE

When a number is divided by 138 the remainder is 26. What will be the remainder if the same number is divided by 23?

a) 1 b) 3 c) 2 d) 4

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(#M40007087) CTS QUESTION Number system questions Keep an EYE

What is the number that should come in the place of question mark?
1050 420 168 67.2 ?

a) 29.88 b)10.752 c)4.3008 d)26.88

Solution

1050/2.5 = 420
420/2.5 = 168
168/2.5 = 67.2
so 67.2/2.5 = 26.88

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(#M40007086) CTS QUESTION Number system questions Keep an EYE

The difference between 3/5 of 2/3 of a number and 2/5 of 1/4 of the same number is 288. What is the number?

a)960 b) 850 c)895 d)955

Solution

according to the given condition
x*(2/3)*(3/5) - x*(2/5)*(1/4) = 288
so 2x/5 - x/10 = 288
or 3x/10 = 288
or x = 2880/3 = 960

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