# SSC 2016 Mock Test

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## SSC Mock Test

Q1) A merchant has 1000 Kg of sugar, part of which he sells at 8% profit. He gains 14% on the whole. The quantity sold at 18% profit is
1) 500 Kg
2) 400 Kg
3) 600 Kg
4) 540 Kg

Q2) A sum of money is sufficient to pay A’s wages for 21 days and B’s wages for 28 days. The same money is sufficient to pay the wages of both for
1) 24 days
2) 12 days
3) 14 days
4) 7 days

Q3) A cistern has three pipes A, B and C. Pipes A and B can fill it in 3 and 4 h respectively, while pipe C can empty the completely filled cistern in 1 h. If the pipes are opened in order at 3pm, 4pm and 5pm respectively, at what time will the cistern be empty?
1) 8:12 pm
2) 6:15 pm
3) 8:35 pm
4) 7:12 pm

Q4) The ratio of speeds of a motorboat to that of the current of water is 36:5. The motorboat goes along with the current in 5 h 10 min. Find the time taken by the motorboat to come back.
1) 5 h 50 min
2) 6 h 10 min
3) 6 h 50 min
4) 5 h 10 min

Q5) Number of solutions of the equation 1) 0
2) 1
3) 2
4) 4

Q6) There are 10 stations on a railway line. The number of different journey tickets that are required by the authorities, is
1) 92
2) 91
3) 90
4) 93

Q7) A new flag is to be designed with 6 vertical strips using some or all of the color yellow, green, blue and red. Then, the number of ways this can be made such that no two adjacent strips have the same color is Q8) Three sides of a triangle are 15, 25 and y units. Which of the following is correct?
1) 10 < y < 40
2) 10 ≤ y ≤ 40
3) 10 < y ≤ 40
4) 10 ≤ y < 40

Q9) The length and perimeter of a rectangle are in the ratio of 5:18. What will be the ratio of its length and breadth?
1) 4:3
2) 5:4
3) 3:5
4) 4:7

Q10) How many circular plates of diameter d be taken out of a square plate of side 2d with minimum loss of material?
1) 4
2) 2
3) 6
4) 5

Q11) Sum of two numbers is 10. Their product is 20. Find the sum of the reciprocals of the two numbers.
1) 1
2) 3/5
3) 1/2
4) 11/6

Q12) If 47a + 47b = 5452 what is the average of a and b?
1) 116
2) 96
3) 58
4) 86

Q13) In a mixture of 60 L the ratio of acid and water is 2:1. If the ratio of acid and water is to be 1:2, then the amount of water (in liters) to be added to the mixture is
1) 55
2) 60
3) 50
4) 45

Q14) The slant height of a canonical mountain is 2.5 Km. The area of the base of the mountain is sq. Km. Then, the height of the mountain is
1) 1.7 Km
2) 2.4 Km
3) 2.1 Km
4) 1.8 Km

Q15) Which of the following is a Pythagorean triple in which one side differs from the hypotenuse by two units? Where n is a positive real number.

Q16) The radius of the base of the right circular cone is doubled. To keep the volume fixed, the height of the cone will be
1) half of the previous height
2) half of the previous height
3) one-fourth of the previous height
4) 0.707 times of the previous height

Q17) If tan⁡ 62° = P/Q then tan⁡28° is equal to
1) P/Q
2) Q/P2
3) (P2 - Q2)/P
4) Q/P

Q18) If and then the value of is
1) 0
2) 1
3) 1/2
4) 0.707

Q19) If θ is a positive acute angle and tan⁡2θ.tan⁡3θ = 1 then the value of is:
1) 0
2) 1/2
3) 1
4) -1/2

Q20) Men, women and children are employed to do a work in the proportion of 3:2:1 and their wages are in the ratio 5:3:2. When 90 men are employed, total daily wages of all amounts to Rs 10350. Find the daily wage of a man.
1) Rs 75
2) Rs 60
3) Rs 45
4) Rs 115

#### 1) 3      2) 2      3) 4      4) 3      5) 1     6) 3      7) 1     8) 1     9) 2     10) 4     11) 3      12) 3     13) 2     14) 2     15) 4      16) 3      17) 4      18) 2      19) 1      20) 1

##### 1) Say y Kg is sold at a profit of 8% and the remaining at a profit of 18%. 1000×14 = 8y + (1000 - y)184) Speed downstream = 36y + 5y = 41y Speed upstream = 36y - 5y = 31y Time taken to come back = (41y/31y)310 = 410 minutes i.e. 6 h 50 min5) As AP ≥ GP So, the given equation has only one solution.7) Any of the 4 colors can be chosen for the first strip. Any of the remaining 3 colors can be chosen for the second strip. Similarly, there are 3 ways to color each of the remaining strips. Total ways are 4×35 = 12×818) In a triangle, sum of two sides is always greater than 3rd side i.e. y < 40 Difference of two sides is always less than 3rd side i.e. y > 10 So, 10 < y < 4010) 11) 15) Hit and trial. Put n = 2 and check options. 16) 18) 19) SCOREPERFORMANCE
18-20 Excellent
15-17 Good
11-14 Satisfactory
1-10 Poor