# SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 02 February 2017" Evening Shift (Quantitative Aptitude)

## SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 02 February 2017"

## Evening Shift (Quantitative Aptitude)

**QID : 251 ** - If cos 45° - sec 60° = x, then the value of x is

**Options:**

**1**) (√3-4)/2√3

**2**) 1

**3**) (1-2√2)/√2

**4**) (√3+√2)/2

**Correct Answer: ** (1-2√2)/√2

**QID : 252 ** - A man travels 400 km in, partly by rail and partly by steamer. He spends 9 hours more time on steamer. If the velocity of the steamer is 30 km/hr and the velocity of rail is 70 km/hr, how much distance does he cover by steamer?

**Options:**

**1**) 309 km

**2**) 371 km

**3**) 464 km

**4**) 556 km

**Correct Answer: ** 309 km

**QID : 253 ** - Raheem sells a machine for Rs 48 lakhs at a loss. Had he sold it for Rs 60 lakh, his gain would have been 5 times the former loss. Find the cost price of the machine.

**Options:**

**1**) Rs 58 lakhs

**2**) Rs 69.6 lakhs

**3**) Rs 42 lakhs

**4**) Rs 50 lakhs

**Correct Answer: ** Rs 50 lakhs

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**QID : 254 ** - If (1 + cosA)/2 = x, then the value of x is

**Options:**

**1**) sin^{2}(A/2)

**2**) √sin(A/2)

**3**) √cos(A/2)

**4**) cos^{2}(A/2)

**Correct Answer: ** cos^{2}(A/2)

**QID : 255 ** - If the number 583_437 is completely divisible by 9, then the smallest whole number in the place of the blank digit will be

**Options:**

**1**) 4

**2**) 5

**3**) 3

**4**) 6

**Correct Answer: ** 6

**QID : 256 ** - Two numbers are 35% and 50% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the ﬁrst number?

**Options:**

**1**) 23.08 percent

**2**) 15 percent

**3**) 25 percent

**4**) 30 percent

**Correct Answer: ** 30 percent

**QID : 257 ** - A bank offers 15% compound interest per half year. A customer deposits Rs 2400 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 2268

**2**) Rs 1134

**3**) Rs 567

**4**) Rs 283

**Correct Answer: ** Rs 1134

**QID : 258 ** - If secA + tanA = x, then the value of x is

**Options:**

**1**) cosA/(1 + sinA)

**2**) √[cosA/(1 - sinA)]

**3**) √[cosA/(1 + sinA)]

**4**) cosA/(1 - sinA)

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

**QID : 259 ** - Find two numbers such that their mean proportion is 16 and third proportion is 1024.

ऐसी दो सयाए पता करो, िजनका माय अनपात 16 ह और ततीय अनपात 1024 ह।

**Options:**

**1**) 4 and 32

**2**) 4 and 64

**3**) 8 and 64

**4**) 8 and 32

**Correct Answer: ** 4 and 64

**QID : 260 ** - A cone of radius 3.5 cm and height 12 cm is completely ﬁlled with water. This water is emptied into an empty cylindrical vessel of radius 7 cm. What will be the height of water in this vessel?

**Options:**

**1**) 2 cm

**2**) 0.33 cm

**3**) 0.5 cm

**4**) 1 cm

**Correct Answer: ** 1 cm

**QID : 261 ** - If the length of the side of an equilateral triangle is 8 cm, what is its area?

**Options:**

**1**) 32√3 sq cm

**2**) 16 sq cm

**3**) 16√3 sq cm

.**4**) 32 sq cm

**Correct Answer: ** 16√3 sq cm

**QID : 262 ** - A line passing through the origin perpendicularly cuts the line 3x - 2y = 6 at point M. Find M?

**Options:**

**1**) (18/13, 12/13)

**2**) (18/13, -12/13)

**3**) (-18/13, -12/13)

**4**) (-18/13, 12/13)

**Correct Answer: ** (18/13, -12/13)

**QID : 263 ** - The average weight of Shubha, Govinda and Reshma is 65 kg. If the average weight of Shubha and Govinda be 63 kg and that of Govinda and Reshma be

70 kg, then the weight of Govinda is

**Options:**

**1**) 41

**2**) 71

**3**) 88

**4**) 46

**Correct Answer: ** 71

**QID : 264 ** - Find length of the arc whose central angle is 45° and radius of the circle is 28 cm?

**Options:**

**1**) 11 cm

**2**) 33 cm

**3**) 44 cm

**4**) 22 cm

**Correct Answer: ** 22 cm

**QID : 265 ** - The area of a square is 100 sq cm, ﬁnd length of its diagonal?

**Options:**

**1**) 10√2 cm

**2**) 10 cm

**3**) 20 cm

**4**) 20√2 cm

**Correct Answer: ** 10√2 cm

**QID : 266 ** - Ticket for an adult is Rs 1500 and a child is Rs 800. 1 child goes free with two adults. If a group has 25 adults and 12 children what is the discount the group gets?

**Options:**

**1**) 26.47 percent

**2**) 20.38 percent

**3**) 31.60 percent

**4**) 33.33 percent

**Correct Answer: ** 20.38 percent

**QID : 267 ** - If (9 - 3x) - (17x - 10) = -1, then the value of x is

**Options:**

**1**) 1

**2**) -1

**3**) 9/10

**4**) -9/10

**Correct Answer: ** 1

**QID : 268 ** - If a - b = -7 and a^{2} + b^{2} = 85, then ﬁnd ab.

**Options:**

**1**) 18

**2**) -30

**3**) -44

**4**) -60

**Correct Answer: ** 18

**QID : 269 ** - Prabodh has done 1/2 of a job in 30 days, Sapan completes the rest of the job in 45 days. In how many days can they together do the job?

**Options:**

**1**) 18 days

**2**) 48 days

**3**) 27 days

**4**) 36 days

**Correct Answer: ** 36 days

**QID : 270 ** - The sum of a non-zero number and thrice its reciprocal is 52/7. Find the number.

**Options:**

**1**) 8

**2**) 9

**3**) 7

**4**) 6

**Correct Answer: ** 7

**QID : 271 ** - If 2x - 2(3 + 4x) < -1 - 2x > -5/3 - x/3; then x can take which of the following values?

**Options:**

**1**) 1

**2**) 2

**3**) -2

**4**) -1

**Correct Answer: ** -1

**QID : 272 ** -

**Options:**

**1**) Aabha

**2**) Aahana

**3**) Aakaanksha

**4**) Aakriti

**Correct Answer: ** Aakriti

**QID : 273-**

**Options:**

**1**) 270

**2**) 247.5

**3**) 292.5

**4**) 225

**Correct Answer: ** 247.5

**QID : 274 ** -

**Options:**

**1**) 1.58

**2**) 1.83

**3**) 2.08

**4**) 1.33

**Correct Answer: ** 1.58

**QID : 275**

**Options:**

**1**) 270000 shares

**2**) 300000 shares

**3**) 255000 shares

**4**) 285000 shares

**Correct Answer: ** 285000 shares