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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 -