# SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 03 February 2017" Afternoon Shift (Quantitative Aptitude)

## SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 03 February 2017"

## Afternoon Shift (Quantitative Aptitude)

**QID : 151 ****- If sin 60° + cos 45° = x, then the value of x is**

**Options:**

**1**) 1/√2**2**) (√3+√2)/2**3**) √2-1**4**) √3

**Correct Answer:**** (√3+√2)/2**

**QID : 152 ****- If cot(A/2) = x, then the value of x is**

**Options:**

**1**) √[(1 - cosA)/(1 + cosA)]**2**) √[(1 + cosA)/2]**3**) (1 + cosA)/sinA**4**) √[(1 - cosA)/2]

**Correct Answer:**** (1 + cosA)/sinA**

**QID : 153 ****- A shopkeeper, sold pistachios at the rate Rs 1140 a kg and bears a loss of 5%. Now if he decides to sell it at Rs 1260 per kg, what will be the result?****Options:**

**1**) 10 percent gain**2**) 5 percent gain**3**) 5 percent loss**4**) 10 percent loss

**Correct Answer:**** 5 percent gain**

**QID : 154 ****- Mandar works 3 times as fast as Samarth. If Samarth can complete a job alone in 28 days, then in how many days can they together finish the job?**

**Options:**

**1**) 4 days**2**) 5 days**3**) 8 days**4**) 7 days

**Correct Answer:**** 7 days**

**QID : 155 ****- If the shopkeeper sells an item at Rs 2275 which is marked as Rs 3250, then what is the discount he is offering?**

**Options:**

**1**) 30 percent**2**) 20 percent**3**) 25 percent**4**) 37.5 percent

**Correct Answer:**** 30 percent**

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**QID : 156 ****- A thief is stopped by a policeman from a distance of 500 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief as 10 km/h and that of police man as 18 km/h, how far the thief would have run, before he is over-taken?**

**Options:**

**1**) 625 metres**2**) 500 metres**3**) 750 metres**4**) 375 metres

**Correct Answer:**** 625 metres**

**QID : 157 ****- What smallest number should be added to 2957 so that the sum is completely divisible by 17 ?**

**Options:**

**1**) 9**2**) 2**3**) 3**4**) 1

**Correct Answer:**** 1**

**QID : 158 ****- If (sin2A - sin2B)/(cos2A cos2B) = x, then the value of x is****Options:**

**1**) tan2A - tan2B**2**) cot2A - cot2B**3**) tanA - tanB**4**) cotA - cotB

**Correct Answer:**** tan2A - tan2B **

**QID : 159 ****- How many balls of radius 3 cm can be made by melting a bigger ball of diameter 48 cm?****Options:**

**1**) 1024**2**) 512**3**) 64**4**) 256

**Correct Answer:**** 512**

**QID : 160 ****- By increasing the price of entry ticket to a fair in the ratio 9:13, the number of visitors to the fair has decreased in the ratio 7:4. In what ratio has the total collection increased or decreased? ****Options:**

**1**) increased in the ratio 52:63**2**) increased in the ratio 36:91**3**) decreased in the ratio 63:52**4**) decreased in the ratio 91:36

**Correct Answer:**** decreased in the ratio 63:52**

**QID : 161 ****- A student multiplied a number by 5/7 instead of 7/5. What is the percentage error in the calculation?****Options:**

**1**) 48.98 percent**2**) 96 percent**3**) 24.49 percent**4**) 48 percent

**Correct Answer:**** 48.98 percent**

**QID : 162 ****- The average revenues of 9 consecutive years of a company is Rs 68 lakhs. If the average of first 5 years is Rs 63 lakhs and that of last 5 years is Rs 75 lakhs, find the revenue for the 5th year.****Options:**

**1**) Rs 80 lakhs**2**) Rs 76 lakhs**3**) Rs 78 lakhs**4**) Rs 74 lakhs

**Correct Answer:**** Rs 78 lakhs**

**QID : 163 ****- ΔGHI is similar to ΔKLM. If the ratio of Perimeter of ΔGHI : Perimeter of ΔKLM = 9:4 and length of GH is 27 cm what is the length of the corresponding side KL?****Options:**

**1**) 12 cm**2**) 9 cm**3**) 24 cm**4**) 18 cm

**Correct Answer:**** 12 cm**

**QID : 164 ****- A(7,-8) and C(1,4) are vertices of a square ABCD. Find equation of diagonal BD?****Options:**

**1**) x - 2y = -8**2**) x - 2y = 8**3**) x + 2y = -8**4**) x + 2y = 8

**Correct Answer:**** x - 2y = 8**

**QID : 165 ****- What is the measure of an exterior angle of a regular dodecagon?****Options:**

**1**) 45°**2**) 40°**3**) 36°**4**) 30°

**Correct Answer:**** 30°**

**QID : 166 ****- The perimeter of a square is 40 cm, find its area?****Options:**

**1**) 100 sq cm**2**) 25 sq cm**3**) 50 sq cm**4**) 160 sq cm

**Correct Answer:**** 100 sq cm**

**QID : 167 ****- A bank offers 5% compound interest per half year. A customer deposits Rs. 6400 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is:**

**Options:**

**1**) Rs 1952**2**) Rs 488**3**) Rs 976**4**) Rs 244

**Correct Answer:**** Rs 976**

**QID : 168 ****- Coefficient of x2 in (x + 3)(2 - 4x)(5x - 6) is****Options:**

**1**) 26**2**) -74**3**) 74**4**) -26

**Correct Answer:**** -26**

**QID : 169 ****- If a + b = 10 and a2 + b2 = 58, then find ab**

**Options:**

**1**) 21**2**) 24**3**) 25**4**) 16

**Correct Answer:**** 21**

**QID : 170 ****- The ten's digit of a 2-digit number is greater than the units digit by 2. If we subtract 18 from the number, the new number obtained is a number formed by interchange of the digits. Find the number.****Options:**

**1**) 75**2**) 64**3**) 53**4**) 86

**Correct Answer:**** 86**

**QID : 171 ****- If 2x - 2(4 - x) < 2x - 3 < 3x + 3; then x can take which of the following values?****Options:**

**1**) 2**2**) 3**3**) 4**4**) 5

**Correct Answer:**** 2**

**QID : 172 ****- **

**Options:**

**1**) 51.78**2**) 517.8**3**) 129**4**) 254

**Correct Answer:** 51.78

**QID : 173 **-

**Options:**

**1**) 1077**2**) 1323**3**) 926**4**) 1890

**Correct Answer:**** 926**

**QID : 174 ****- **

**Options:**

**1**) 55 cm**2**) 50 cm**3**) 45 cm**4**) 60 cm

**Correct Answer:**** 50 cm**

**QID : 175 ****- **

**Options:**

**1**) 2.5 hours**2**) 3.5 hours**3**) 4 hours**4**) 4.5 hours

**Correct Answer:**** 4 hours**