Memory Based Inequalities Questions in Quantitative Aptitude SBI PO 2018(with Detailed Solution)

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1.A man goes to the fair with his and dog. Unfortunately man misses his son which he realizes 20 minutes later. The son comes back towards his home at the speed of 20 m/min and man follows him at 40 m/min. The dog runs to son and comes back to the man to show him the direction of his son. He keeps moving to and fro at 60 m/min between son and father, till the man meets the son. What is the distance traveled by the dog in the direction of the son?

1. By selling 12 marbles for a rupee, a shopkeeper loses 20%.
In order to gain 20% in the transaction, he should sell the
marbles at the rate of how many marbles for a rupee?

(a) 8 (b) 6

(c) 4 (d) 3

2. Three successive discounts of 10%, 12% and 15% amount
to a single discount of:
(a) 36.28 % (b) 34.68%
(c) 37 % (d) None of these

3. A reduction of 20% in the price of sugar enables a purchaser
to obtain 2 1/2 kg more for ` 160. Find the original price per
kg of sugar.
(a) ` 12 (b) ` 20
(c) ` 16 (d) ` 18
4. Two motor cars were sold for ` 9,900 each, gaining 10% on
one and losing 10% on the other. The gain or loss per cent
in the whole transaction is :
(a) Neither loss no gain
 (b)1/99%  gain
(c) 100/99% profit 
(d) 1% loss

5. A cycle agent buys 30 bicycles, of which 8 are first grade
and the rest are second grade for ` 3150. Find at what price
he must sell the first grade bicycles so that if he sells the
second grade bicycles at third quarter of the price, he may
make a profit of 40% on both the types of transactions ?
(a) ` 200 (b) ` 240
(c) ` 180 (d) ` 210

6. A dairyman pays ` 6.4 per litre of milk. He adds water and
sells the mixture at ` 8 per litre, thereby making 37.5% profit.
The proportion of water to milk received by the customers
is :
(a) 1 : 5 (b) 1 : 10
(c) 1 : 20 (d) 1 : 12

7. The cost price of 20 articles is the same as the selling price
of x articles. If the profit is 25%, then the value of x is
(a) 25 (b) 18
(c) 16 (d) 15

8. A departmental store receives a shipment of 1,000 shirts, for
which it pays ` 9,000. The store sells the shirts at a price 80
per cent above the cost for one month, after which it reduces
the price of the shirts to 20 per cent above the cost. The
store sells 750 shirts for one month and 50 per cent of the
remaining shirts afterwards. How much gross income did
the sales of the shirts generate ?
(a) ` 10,000 (b) ` 10,800
(c) ` 12,150 (d) ` 13,500

9. A company blends two varieties of tea from two different
tea gardens, one variety costing ` 20 per kg and other ` 25
per kg, in the ratio 5 : 4. He sells the blended tea at ` 23 per
kg. Find his profit per cent :
(a) 5% profit (b) 3.5% loss
(c) 3.5% profit (d) No profit, no loss

10. An article is listed at ` 65. A customer bought this article for
` 56.16 and got two successive discounts of which the first
one is 10%. The other rate of discount of this scheme that
was allowed by the shopkeeper was :
(a) 3% (b) 4%
(c) 6% (d) 2%

Special for IBPS EXAMS Number System: Get DIGITAL with DIGITAL ROOT One of the short cut which you must learn in Number System is that of Digital Roots. This amazing concept of Digital Roots will help you solve numerous questions on remainders, divisibility and sum of digits. Keep in mind that from now onwards in the article, the term ‘digital root’ will be referred to as DR. DR (also known as repeated digital sum/seed number) of a number is the number obtained by adding all the digits, then adding the digits of that number, and then continuing until a single-digit number is obtained. First try to understand this with the help of the following examples: Example: DR (48512) = DR (4+8+5+1+2) = DR (20) = DR (2+0) = 2. Example: DR (9873429222) = DR (9+8+7+3+4+2+9+2+2+2) = DR (48) = DR (4+8) = DR (12) = DR (1+2) = 3. Divisibility Rule of 9:  What is the remainder when 48512 is divided by 9? In order to check for the divisibility of a number by 9, we add all the digits and check the remainder of these with 9. Here the approach we follow is that we determine the sum of digits (SOD) = 4+8+5+1+2 = 20=2+0=2. So, the remainder when the number 48512 is divided by 9 is 2. Example 1:  What is remainder when 9873429222 is divided by 9? Solution: Again the divisibility rule of 9 will be applied. 9+ 8 + 7 + 3 + 4 + 2 + 9 + 2 + 2 + 2 = 48 = 4 + 8 = 12 = 1+ 2 =3 So, remainder is 3 in this case. It can be concluded from the above examples that whether we take DR of any number say N or remainder when N is divided by 9, the answers are same. Actually both these concepts are same. To review the same, it can be stated that if a number has a DR 1, it will leave a remainder 1 when divided by 9. If it has a DR 2, the remainder will be 2 and so on, till the last point where if it has a DR 9, the remainder will be 0, when divided by 9. Example 2: What is the digital root of 26! (factorial)? Solution: Since 26! has the product of all the digits from 1 till 26, it will be divisible by 9. Or in other words, it will have a digital root equal to 9. Example 3: How many natural number < 500 exist whose seed number is 9? Solution: Digital root or seed number means remainder is 0 when number is divided by 9. So, question is “How many natural numbers < 500 divisible by 9” and it can be calculated that there are 500/9 = 55 such numbers as it is starting from 1 only. Thus, 55 will be the answer. Best Wishes !!!!!!!!!!!!! Sahil

Date 29 April 2017

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30 April 2017

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