Important Word Problems Questions for Syndicate Bank PO, Canara Bank PO and LIC AAO

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Q.1 Average of 5 consecutive odd numbers is 27. If 2 is added in first, third and fifth number and 3 is subtracted from second and fouth number, find the new average of these five number.

(A) 32

(B) 27

(C) 23

(D) 19

(E) 25

Q.2 If the numerator of a fraction is increased by 80% and the denominator of the same fraction is decreased by 25%, the fraction becomes 3/5th of itself. Find the difference between the resultant fraction and the original fraction.

(A) 9/19

(B) 3/7

(C) 5/6

(D) 7/20

(E) None of these

Q.3 Train X is running at 72 km/h and crosses another train Y that is coming from opposite direction at 90 km/h in 18 sec. The length of train Y is double of train X, in how time would train X cross a platform which is half its length?

(A) 30 sec

(B) 25 sec

(C) 15 sec

(D) 20 sec

(E) None of these

Q.4 In how many different ways can 5 apples and 6 bananas be arranged in a row such that all the apples place together and all the bananas place toether?

(A) 172800

(B) 162580

(C) 175200

(D) 169500

(E) 185200

 

Q.5 10 women working for 5 hours in a day can complete 5/6th of the work in 16 days. In how many can 12 women working for 8 hours in a day complete the whole work?

(A) 12 Days

(B) 8 Days

(C) 10 Days

(D) 15 Days

(E) None of these

Answer 1. (B) 27

Explanation:

Traditional Method:

Average of 5 consecutive odd numbers = 27

Total of 5 consecutive odd numbers = 27 × 5 = 135

Let numbers = x, x+2, x+4, x+6, x+8

x + x + 2 + x + 4 + x + 6 + x + 8 = 135

5x + 20 = 135

5x = 135 − 20

5x = 115

x = 23

Numbers = 23, 25, 27, 29, 31

New numbers = 25, 22, 29, 26, 33

New Average = (25 + 22 + 29 + 26 + 33)/ 5 = 135/5 = 27

 

Shortcut Method:

Average of 5 consecutive odd numbers = 27

Total of 5 consecutive odd numbers = 27 × 5 = 135

New Average = (25 + 22 + 29 + 26 + 33)/ 5 = 135/5 = 27

 

Answer 2. (D) 7/20

Explanation:

[su_table responsive=”yes” class=”code”]

Let Fraction =
a
 b

[/su_table]

According to the question,

[su_table responsive=”yes” class=”code”]

a × 180%
 b × 75%
=
9
 15

[/su_table]

[su_table responsive=”yes” class=”code”]

a
 b
=
3 × 75%
 5 × 180%

[/su_table]

[su_table responsive=”yes” class=”code”]

a
 b
=
1
 4

[su_table responsive=”yes” class=”code”]

Difference =
3
 5
1
 4

[/su_table]

[su_table responsive=”yes” class=”code”]

Difference =
12 − 5
   20
=
7
 20

[/su_table]

Answer 3. (E) None of these

Explanation:

Train X, S = 72 km/h or 20 m/s, Length = a Km

Train Y, S = 90 km/h or 25 m/s, Length = 2a Km

Because they are running in opposite direction, relative speed = 72 + 90 = 162 km/h or 45 m/s

Distance = a + 2a = 3a, time = 18 sec

S = D/ T

45 = 3a/ 18

a = 270 m

Length of Platform = 135 m

20 = (135 + 270)/ T

T = 405/ 20

T = 20.25 sec.

 

Answer 4. (A) 172800

Explanation:

It is given that all the apples will be place together and all the bananas will be place together.

So all the apples will be count as 1 and all the bananas will be count as 1.

Different Ways = 2! × 5! × 6!

= 2 × 5 × 4 × 3 × 2 × 6 × 5 × 4 × 3 × 2 = 172800

 

Answer 5. (C) 10 Days

Explanation:

[su_table responsive=”yes” class=”code”]

P1 × d1 × h1
         w1         
=
P2 × d2 × h2
        w2

[/su_table]

[su_table responsive=”yes” class=”code”]

5 × 10 ×16
        5/6    
=
12× 8 × d2
        1     

[/su_table]

Days = 10 days

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