Numerical Ability Test for RBI Assistant: Part 1

Ques 1.

A dishonest trader marks up his goods by 80% and gives a discount of 25%. Besides, he gets 20% more amount per kg from a wholesaler and sells 10% less per kg to customers.
What is the overall profit percentage?
1. 82%
2. 76%
3. 78%
4. 75%
5. 80%

Ques 2.

A man ordered 4 pairs of black shoes and some pair of brown shoes. The price of black shoes is twice to that of brown shoes. While preparing the bill the clerk interchanged the number of black and brown pairs of shoes by mistake, which increase the bill by 40%. What is the total number of black and brown shoes?
1. 12
2. 16
3. 14
4. 10
5. 18

Ques 3.

On what sum of money will the CI of 2 years be the same as the SI on rs. 416 for 10 years, the rate of interest being 8% pa.?
1. Rs. 2500
2. Rs. 1500
3. Rs. 3000
4. Rs. 2000
5. Rs. 4000

Ques 4.

The speed of the current is 4 km/hr. A boat goes 10 km upstream and comes back to starting point in 80 min. What is the speed of the boat in still water? (in km/hr)
1. 10
2. 16
3. 14
4. 12
5. 8

Ques 5.

Two trains P and Q starts from Delhi and Patna towards each other. After passing each other they take 4 hrs 48 min and 3 hrs 20 min to reach their destination respectively. if the train from Delhi is moving at 45 km/hr, then find the speed of the other train.
1. 58 km/hr
2. 54 km/hr
3. 56 km/hr
4. 52 km/hr
5. 50 km/hr

Ques 6.

Two pipes can fill a tank with water in 15 hrs and 12 hrs respectively and a third pipe can empty it in 4hrs. if the pipes are opened at 8, 9 and 11 am respectively the bank will be emptied at
1. 2.40 pm
2. 1.40 pm
3. 3.20 pm
4. 2.50 pm
5. 1.50 pm

Ques 7.

A path of uniform width runs around inside a rectangular field 38m long and 32m wide. if the path occupies 600 m², then the width of the path is:
1. 10m
2. 6m
3. 4m
4. 5m
5. 8m

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Answer :

1. 5;
Since he purchases 120 gm and pays Rs. 100 by assuming actual CP of 1gm = Rs. 1)

∴  Profit percentage = 

2. 1;
         

Black shoes           Brown shoes
Price
3                    :            1
Number of pairs
4                    :            x
Total
12                  :            x

Total price in original bill = rs. (12 + x )
In wrong bill = Rs. ( 3x + 4)
Bill increased by 40% = 2/5

⇒ 15x + 20 = 84 + 7x
⇒ 8x  = 64
⇒  x = 8 pairs
∴ Total pairs = 8 + 4 = 12 pairs

3. 4; 
SI for 10 years on 416 = 

Let the principal for CI be Rs, P

4. 2;
Let the speed of boat be x km/hr
According to the question,

⇒ 10 (x+4 + x-4) = 4/3 (x² - 16)
⇒ 15x = x² - 16
⇒  x² - 16 - 15x = 0
⇒ x = 16, -1
∴ So ,the speed of boat in still water = 16km/hr 

5. 2;
Let the speed of other train be x km/hr


6. 1; 
Part filled by A from 8 am to 11 am 

Part filled by B from 9 am to 11 am
Total part filled till 11 am 

At 11 am pipe C is opened to empty it
∴ Part of thank emptied in 1 hr
∴ 11/30 part will be emptied in
.e. at 2:40 pm

7. 4;
Let the width of the path be x km
∴ Area of the path 
= 38 x 32 - (38 - 2x) (32 - 2x)
= 1216 - 1216 + 140x - 4x²
= 140x - 4x²
 ∴ 140x - 4x² = 600
⇒ 4x² - 140x + 600 = 0
⇒ x² - 35x+ 150 = 0
⇒ x (x-30 ) - 5 (x-30) = 0
⇒ (x-5) (x-30) =0
 ∴ x = 5 as x ≠30









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