Logical Reasoning in English ARITHMETIC REASONING #MCQ_CetJob

Chapter Wise Logical Reasoning in English ARITHMETIC REASONING

1 >>complete the series 5,8,13,21,? ?

• (A) 31
• (B) 34
• (C) 35
• (D) 28

Solution The logic here is 5 + 8 = 13, 8 + 13 = 21, 13 + 21 = 34 and so on.

2 >>If 84 x 13 = 8,

37 x 13 = 6,

26 x 11 = 6 ,

then 56 x 22 = ? ?

• (A) 36
• (B) 39
• (C) 7
• (D) 11

Solution (8 + 4) - (1 + 3) = 8,(3 + 7) - (1 + 3) = 6 and(5 + 6) - (2 + 2) = 7

3 >>If 3 x 6 = 18,

5 x 3 = 16,

8 x 2 = 20.

Find the value of 4 x 6 = ? ?

• (A) 12
• (B) 13
• (C) 33
• (D) 20

Solution (3 + 6) x 2 = 18,(5 + 3)x 2 = 16,(8 + 2) x 2 = 20,(4 + 6) x 2 = 20.

4 >>Change the sign where it necessary to obtain the equation

28 -(3 + 4) + (2 x 2) = 0 ?

• (A) Change + into x
• (B) Change x into +
• (C) Change - into +
• (D) Change + into -

Solution Change the + sign that present only in the outside of parenthesis. i.e.28 - (3 + 4) x (2 x 2) = 0

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5 >>If 56 x 11 = 9,

37 x 13 = 6,

42 x 12 = 3 then find the value of 87 x 77 = ? ?

• (A) 1
• (B) 3
• (C) 4
• (D) 5

Solution (5 + 6) - (1 + 1.) = 9 (3 + 7)-(1 + 3) = 6. (4 + 2) -(1 + 2) = 3 then (8 + 7) - (7 + 7) = 1

6 >>If 1 = 1,

2 = 4,

3 = 10 and 4 = 22,

then 5 = ? ?

• (A) 39
• (B) 34
• (C) 44
• (D) 46

Solution 1, 2, 3, 4, 5, (Digits) 1, 4, 10, 22, 46 (Code),Gap is being doubled at every digit.

7 >>If 4 x 24=6,

2 x 8=4,

1x 3=3, thenfind the value of 7 x 21 ? ?

• (A) 42
• (B) 21
• (C) 3
• (D) 63

Solution The first figure is divisor and the second one is dividend 24 / 4 = 68 / 2 = 43 / 1 = 321 / 7 = 3.

8 >>If A + B means A is the daughter of B,

A x B means A is the son of B and A- B means A is the wife of B then P x Q-S means ? ?

• (A) S is the father of P
• (B) Q is the father of P
• (C) A is son of Q
• (D) None of these

Solution PxQ= Pis the son of Q and Q is wife of S. S is the father of P.

9 >>Five bells begin to toll together and toll respectively at intervals of 6, 5, 7, 10 and 12 seconds.How many times will they toll together in one hour excluding the one at the start? ?

• (A) 5 times
• (B) 6 times
• (C) 7 times
• (D) 8 times

Solution L.C.M. of 6,5,7,10 and 12 is 420.So, the bells will toll together after every 420 seconds. i.e. 7 minutes.Now, 7 x 8 = 56 and 7 x 9 = 63.Thus, in 1-hour (or 60 minutes), the bells will toll together 8 times, excluding the one at the start.

10 >>At the end of a business conference the ten people present all shake hands with each other once.How many handshakes will there be altogether? ?

• (A) 20
• (B) 30
• (C) 40
• (D) 45

Solution Clearly, total number of handshakes = (9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1) = 45.

Logical Reasoning in English

11 >>I have a few sweets to be distributed. If I keep 2,3 or 4 in pack, I am left with one sweet. If I keep 5 in a pack, I am left with none.What is the minimum number of sweets I have to pack and distribute? ?

• (A) 25
• (B) 35
• (C) 56
• (D) 65

Solution Clearly, the required number would be such that it leaves a remainder of 1 when divided by 2, 3 or 4 and no remainder when divided by 5, Such a number is 25.

12 >>A girl counted in the following way on the fingers of her left hand : She started by calling the thumb 1, the index finger 2, middle finger 3, ring finger 4, little finger 5 and then reversed direction calling the ring finger 6, middle finger 7 and so on. She counted upto 1994. She ended counting on which finger ? ?

• (A) Thumb
• (B) Index finger
• (C) Ring finger
• (D) Middle finger

Solution Clearly, while counting the numbers associated to the thumb will be : 1,9,17,25,.........

13 >>The total of the ages of Ram, Akbar and Ravi is 80 years. What was the total of their ages three years ago ? ?

• (A) 71 years
• (B) 72 years
• (C) 74 years
• (D) 77 years

Solution Required sum = (80 - 3 x 3) years

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14 >>In a class, there are 18 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class ? ?

• (A) 6
• (B) 12
• (C) 18
• (D) 24

Solution Let the number of boys be x.

15 >>Find out the two signs to be interchanged for making following equation correct:

5 + 3 * 8 - 12 / 4 =3 ?

• (A) + and -
• (B) - and /
• (C) Err:509
• (D) + and /

Solution On interchanging - and /, we get the equation as 5 + 3 * 8 / 12 - 4 = 3 5 + 3 * (2/3) - 4 = 3 3 = 3, which is true.

16 >>If 2 + 3 = 13

3 + 4 = 25

4 +5 = 41 then

5 + 6 = ? ?

• (A) 60
• (B) 61
• (C) 51
• (D) 63

Solution Step 1 : First multiply to the given number Step 2 : Multiply by 2 Step 3 : add 1 (2 * 3) * 2 + 1 = 13 (3 * 4) * 2 + 1 = 25 (4 * 5) * 2 + 1 = 41 (5 * 6) * 2 + 1 = 61

17 >>If 3, 2 = 13,

4, 8 = 80,

then 1, 5 =? ?

• (A) 14
• (B) 26
• (C) 25
• (D) 50

Solution The sum of the square of the number 32 + 22 = 9 + 4 = 13 42 +82 = 16 + 64 = 80 12 + 52 = 1+ 25 = 26

18 >>If, 1111 = 5

2222 = 24

3333 = 93

4444 = 272 Then, 5555 = ? ?

• (A) 625
• (B) 645
• (C) 636
• (D) 652

Solution 14 + ( 1+ 1+ 1+ 1 ) = 1 +4 = 5 2 4 + ( 2 + 2 +2 + 2 ) = 16 + 8 = 24 34 + ( 3 +3+ 3 +3 ) = 81 + 12 = 93 4 4 + ( 4 + 4 +4 + 4) = 256 + 16 = 272 5 4 + ( 5+ 5+ 5+ 5 ) = 625 + 20 = 645

19 >>If 43+76 = 54, 84 + 23 = 38 then 46 + 74 = ? ?

• (A) 52
• (B) 57
• (C) 87
• (D) 12

Solution (4 * 3 ) + ( 7 * 6 ) = 12 + 42= 54 8 * 4 ) + ( 2 * 3 ) = 32 + 6 = 38( 4 * 6 ) + ( 7 * 4 ) = 24 + 28 = 52

20 >>A girl counted in the following way on the fingers of her left hand : She started by calling the thumb 1, the index finger 2, middle finger 3, ring finger 4, little finger 5 and then reversed direction calling the ring finger 6, middle finger 7 and so on. She counted upto 1994. She ended counting on which finger ? ?

• (A) Thumb
• (B) Index finger
• (C) Ring finger
• (D) Middle finger

Solution Clearly, while counting the numbers associated to the thumb will be : 1,9,17,25,.........