# SSC MTS 2016 Re-Exam Paper : Held on 09-OCT-2017 Shift-1 (Numerical Aptitude)

## SSC MTS 2016 Re-Exam Paper : Held on 09-OCT-2017 Shift-1

## (Numerical Aptitude)

**QID : 26 - If a number is divided by 30 then it leaves 17 as a remainder. What will be the remainder when the same number is divided by 10?**

**Options:**

1) 7

2) 3

3) 1

4) 2

**Correct Answer: 7**

**QID : 27 - What is the value of 16 ^{2} + 17^{2} + 18^{2} + ……. 25^{2}?**

**Options:**

1) 4325

2) 4465

3) 4105

4) 4285

**Correct Answer: 4285**

**QID : 28 - How many times digit '5' appears in the number from 1 to 100?**

**Options:**

1) 20

2) 21

3) 19

4) 18

**Correct Answer: 20**

**QID : 29 - What is the unit digit of 5 ^{124} x 124^{5}?**

**Options:**

1) 5

2) 1

3) 0

4) 2

**Correct Answer: 0**

**QID : 30 - What is the value of [(a ^{–2}b^{3}) ÷ (a^{1}b^{–1})] x [(a^{2}b^{–4}) ÷ (a^{–1}b^{2})]?**

**Options:**

1) b^{2}

2) 1/b^{2}

3) a^{2}

4) a^{2}b^{2}

**Correct Answer: 1/b ^{2}**

**QID : 31 - Which of the following number is divisible by 11?**

**Options:**

1) 59609

2) 45332

3) 23581

4) 44433

**Correct Answer: 59609**

**QID : 32 - A can do a piece of work in 20 days and B can do the same piece of work in 30 days. They start working together and work for 5 days and then both leave the work. C alone finishes the remaining work in 14 days. In how many days will C alone finish the whole work?**

**Options:**

1) 24

2) 18

3) 36

4) 42

**Correct Answer: 24**

**QID : 33 - P, Q and R undertook a work for Rs 48000. Together P and Q complete 5/12 ^{th} part of the work. What is the share (in Rs) of R?**

**Options:**

1) 21000

2) 28000

3) 27000

4) 31000

**Correct Answer: 28000**

**QID : 34 - The length of two parallel sides of a trapezium are 30 cm and 40 cm. If the area of the trapezium is 350 cm ^{2}, then what is the value (in cm) of its height?**

**Options:**

1) 8

2) 10

3) 15

4) 12

**Correct Answer: 10**

**QID : 35 - If the difference between discount of 35% and two successive discounts of 20% on a certain bill is Rs 3, then what is the amount (in Rs) of the bill?**

**Options:**

1) 250

2) 300

3) 350

4) 400

**Correct Answer: 300**

**QID : 36 - If a shopkeeper marks the price of goods 40% more than their cost price and allows a discount of 40%, then what is his gain or loss percent?**

**Options:**

1) 16%, Loss

2) 16%, Profit

3) 10%, Loss

4) 12%, Profit

**Correct Answer: 16%, Loss**

**QID : 37 - The ratio of two positive numbers is 9 : 11. Their product is 6336. What is the smallest number?**

**Options:**

1) 32

2) 72

3) 88

4) 48

**Correct Answer: 72**

**QID : 38 - B starts some business by investing Rs 90000. After 4 months, D joins business by investing Rs 80000. At the end of the year, in what ratio will they share the profit?**

**Options:**

1) 10 : 7

2) 9 : 4

3) 27 : 16

4) 7 : 3

**Correct Answer: 27 : 16**

**QID : 39 - Average of 9 numbers is 20. If a number 30 is also included, then what will be the average of these 10 numbers?**

**Options:**

1) 20.5

2) 21

3) 19.5

4) 21.5

**Correct Answer: 21**

**QID : 40 - By selling 50 metres of cloth, a person gains the cost price of 20 metres of cloth. What is his gain percent?**

**Options:**

1) 40

2) 25

3) 20

4) 10

**Correct Answer: 40**

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**QID : 41 - If some articles are bought at Rs 10 each and sold at Rs 7 each, then what is the loss percentage?**

**Options:**

1) 60

2) 16.67

3) 25

4) 30

**Correct Answer: 30**

**QID : 42 - A man saves 30% of his income in 1 year. If he wants to save the same amount in 8 months, then by how much percentage should he increase his monthly savings?**

**Options:**

1) 20

2) 30

3) 40

4) 50

**Correct Answer: 50**

**QID : 43 - A man spends 80% of his income and saves the rest. If his income and spending both increases by 10%, then what is the percentage change in his savings?**

**Options:**

1) 10% increase

2) 5% decrease

3) 5% increase

4) 15% decrease

**Correct Answer: 10% increase**

**QID : 44 - A car travels at a speed of 25 m/s for 8 hours. What is the distance (in km) travelled by the car?**

**Options:**

1) 360

2) 720

3) 450

4) 900

**Correct Answer: 720**

**QID : 45 - A 450 meter long train crosses a bridge 650 meters long in 36 seconds. What is speed (in km/hr) of the train?**

**Options:**

1) 110

2) 125

3) 150

4) 95

**Correct Answer: 110**

**QID : 46 - The population of a town increases at the rate of 15% per annum. If the present population is 108445 of town, then what was the population 2 years ago?**

**Options:**

1) 72000

2) 79000

3) 82000

4) 85000

**Correct Answer: 82000**

**QID : 47 - **

**What was the percentage change in number of customers to complex B from March to April?**

**Options:**

1) 20

2) 40

3) 28

4) 56

**Correct Answer: 40**

**QID : 48 - **

**What is the maximum difference (in thousands) between the numbers of customers in the 2 complexes among the given months?**

**Options:**

1) 5

2) 6

3) 8

4) 4

**Correct Answer: 6**

**QID : 49 - **

**What is the total number of customers (in thousands) in the 2 complexes in the month of April?**

**Options:**

1) 52

2) 53

3) 50

4) 56

**Correct Answer: 53**

**QID : 50 - **

**What is the average number of customers (in thousands) in complex B from February to May?**

**Options:**

1) 22

2) 24

3) 23

4) 25

**Correct Answer: 23**