# SSC 2016 Mock Test

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## SSC Mock Test

Q1) A number divided by 56 gives 29 as remainder. If the same number is divided by 8, the remainder will be
1) 4
2) 5
3) 6
4) 7

Q2) If α + β = 90° and α:β = 2:1 then the value of is

Q3) The value of is
1) 1
2) 2
3) 1/2
4) 1/4

Q4) If N, N + 2 and N + 4 are prime numbers, then the number of possible solutions for N are
1) 2
2) 1
3) 3
4) More than 3

Q5) The ratio of two numbers is 5:6 and their LCM is 480, then their HCF is
1) 20
2) 16
3) 5
4) 6

Q6) If then find the value of y
1) 0.006
2) 0.6
3) 1/6
4) 6

Q7) Next number in the series 6, 16, 36, 76, 156, 316 is
1) 636
2) 638
3) 648
4) 658

Q8) If then the value of is:
1) 2
2) - 3
3) 3
4) 1

Q9) Let A be a pyramid on a square base and B be a cube. If a, b and c denote the number of edges, number of faces and number of corners respectively. Then, the result a = b + c is true for
1) only A
2) only B
3) both A and B
4) neither A nor B

Q10) In ∆ ABC, D and E are points on sides AB and AC, such that DE||BC. Find x if

1) 4
2) 1
3) 8
4) 2

Q11) A number increased by 125% and the increment is 50. The number is:
1) 45
2) 90
3) 30
4) 40

Q12) The price of two articles are as 3:4. If the price of the first article is increased by 10% and that of the second by Rs 4, original ratio remains the same. The original price of the second article is
1) 35
2) 10
3) 30
4) 40

Q13) What annual payment will discharge a debt of Rs 1696 in 4 years at 4% per annum?
1) 425
2) 525
3) 400
4) 325

Q14) A person distributes his pens among four friends P, Q, R and S in the ratio What is the minimum number of pens a person should have.
1) 60
2) 63
3) 57
4) 75

Q15) A cube has each edge 2 cm and a cuboid is 1 cm long, 2 cm wide and 3 cm high. The paint in a certain container is sufficient to paint an area equal to 54 sq. cm. Which of the following is correct?
1) Both cube and cuboid can be painted.
2) Only cube can be painted.
3) Only cuboid can be painted.
4) Neither cube nor cuboid can be painted.

Q16) A, B and C entered into partnership in a business. A got 3/5 of the profit. B and C distributed the remaining profit equally. If C got Rs 400 less than A, the total profit was
1) 1200
2) 1600
3) 1000
4) 800

Q17) In a garrison, there was food for 1000 soldiers for one month. After 10 days, 1000 more soldiers joined the garrison. How long would the soldiers be able to carry on with the remaining food?
1) 20 days
2) 10 days
3) 15 days
4) 25 days

Q18) 7 yr ago, the ages of A and B were in the ratio 4:5 and 7 yr hence, they will be in the ratio 5:6. The present age of B is
1) 63 yr
2) 56 yr
3) 70 yr
4) 77 yr

Q19) The minimum value of is:
1) 1/2
2) 3/5
3) 3/4
4) 2/3

Q20) A vertical stick 12 m long casts a shadow 8 m long on the ground. At the same time, a tower casts a shadow of 40 m long on the ground. The height of the tower is
1) 60 m
2) 30 m
3) 72 m
4) 54 m

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

##### 2) α = 60°; β = 30°3) Put θ = 45°7) +10,+20,+40,+80,+160,+3208) Squaring both sides Cubing both sides9) For a cube, edges = a = 12, faces = b = 6, corners = c = 8 For a pyramid, edges = a = 8, faces = b = 5, corners = c = 5 So, a = b + c is neither true for cube nor for pyramid. 10)13) Annual installment is14) To minimize the number of pens common ratio is 1. So, minimum number of pens = 20 + 15 + 12 + 10 = 5715) Surface area of the cube = 24 sq cm Surface area of the cuboid = 22 sq cm Total surface area to be painted = 24 + 22 = 46 sq cm17) When 1000 soldiers consume for 10 days, then food supply is left for 1000 soldiers for 20 days. Now as the number of soldiers are doubled (When 1000 more soldiers joined the garrison) so food lasts for 20/2 = 10 days. 19) is minimized when θ = 45°
SCOREPERFORMANCE
18-20 Excellent
15-17 Good
11-14 Satisfactory
1-10 Poor