Quans & Reasoning - Canara Bank

Quans & Reasoning - CANARA BANK

1. A large field of 700 hectares is divided into two parts. The difference of the areas of the two parts is one-fifth of the average of the two areas. What is the area of the smaller part in hectares?

A.  225
B.  280
C.  300
D.  385
Ans:D

Let the area of the smaller part be ‘x’.  Then the two areas are ‘x’ and (700 – x)

The average of these two areas is {x + (700-x)}/2

The difference between the two areas is  [{x + (700-x)}/2] x 1/5 = x – (700-x)

Solving this we now have an equation   2x – 700 = 70.  2x = 770  x = 385

2. The speed of a boat in still water is 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 12 minutes is

A.  1.2 km          
B.  1.8 km
C.  2.4 km          
D.  3.6 km
Ans:D

Downstream speed = Boat speed + water speed  =  (15 + 3) = 18 km/hr
Distance travelled  in 12 minutes is = (18 x 12/60)hrs  = 3.6 kms
  

3. Today is Thursday. The day after 59 days will be?

A.  Sunday         
B.  Monday
C.  Tuesday       
D.  Wednesday
Ans:A

Every day of the week is repeated after 7 days hence after 56 days it would be Thursday again. After 59 days it would be Sunday

4. Albert invested an amount of Rs.8000 in a fixed deposit scheme for 2 years at compound interest rate 5 percent .p.a. How much amount will Albert get on maturity of the fixed deposit?

A.  Rs. 8600       
B.  Rs. 8620
C.  Rs. 8840       
D.  Rs. 8820
Ans:D

The formula for Compound Interest is P ( 1+R/ 100)ⁿ where P is the principal, R the rate of Interest and n the number of years.

Substituting the values we get the answer Rs 8820.00
 

5. The difference between two numbers is 1365. When the larger number is divided by the smaller one, the quotient is 6 and the remainder is 15. The smaller number is

A.  240
B.  270
C.  295
D.  360
Ans:B

Let the smaller number be x. Then, larger number = (1365 + x))
(1365 + x) / X = 6(quotient) + 15 (Remainder) Reducing this further we have

1365 + x = 6x + 15.  Solving we get the value of x = 270

6. A fruit seller sells mangoes at the rate of Rs.9 per kg and thereby loses 20%. At what price per kg, he should have sold them to make a profit of 5%?

A.  Rs.11.81       
B.  Rs.12
C.  Rs.12.25       
D.  Rs.12.31
Ans:A

By selling ar Rs 9.00 the loss is 20%. Hence the Cost price is 9 x 5/4 = 11.25.

To get 5% profit then the selling price should be 11.25 x 5/100 = RS 11.81

7. A student finds the average of 10 positive integers. Each integer contains two digits. By mistake, the student interchanges the digits of one number say ba for ab. Due to this, the average becomes 1.8 less than the previous one. What is the difference between the two digits a and b?

(A)8
(B)6
(C)2
(D)4
Ans:C

The clue for these type of questions is, that any two digit numbers when reversed would give a difference that is a multiple of 9.  E.g   36 and 63,  58 and 85

In this case the average becomes less by 1.8 and hence the difference between the two numbers is 2 since 18 is twice a multiple of 9.

8. Look at this series: 1000, 200, 40, ... What number should come next?

(A)8
(B)10
(C)15
(D)20
Ans:A
Each number is divided by 5.

9. How big will an angle of one and a half degree look through a glass that magnifies things three times?
A. 1 ½
B. 2 ½
C.3 ½
D. 4 ½
Ans: A. 1 ½ degrees
The magnifying glass cannot increase the magnitude of an angle.

10. Rahul’s mother is the only daughter of Monika’s father. How is Monika’s husband related to Rahul?

A.   Uncle           
B.   Father
C.   Grandfather              
D.   Data inadequate
Ans: Father

11. Four girls are sitting on a bench to be photographed. Shikha is to the left of Reena.  Manju is to the right of Reena. Rita is between Reena and Manju. Who would be second from the left in the photograph?
A.  Reena           
B.  Shikha
C.  Manju           
D.  Rita
E.  A and B
Ans:D

12. After walking 6 km, I turned to the right and walked 2 km before turning to left again and walked 10 km.  I am now walking towards the North. From which direction did I start my journey?
A.North
B.South
C.East
D.West
Ans: B           (Draw a route map)
 
13. Starting from the point X, Jayant walked 15 m towards west. He turned left and walked 20 m. He then turned left and walked 15 m. After this he turned to his right and walked 12 m. How far and in which directions is Jayant now from X?

A.32 m, South
B.47 m, East
C.42 m, North
D.27 m, South
Ans:A           ( Draw a route map)