SSC(CGL) Quant Mock Test9(20-25 min) 30 Qn

Solution

1.AB and CD are 2 parallel chords of a circle in which AB=10cm and CD=24cm. If these chords are on opposite side of the centre and the distance between them is 17cm. Then the radius of the circle will be.

a.11cm  b.13cm  c.12cm  d.10cm

2.There is a pole inside a scalene triangular park ABC. If the angle of elevation of the top of the pole from each corner point is equal then the position of foot of the pole in the park ABC is

a.At centroid  b.at Circumcentre  c.at Incentre  d.at Orthocentre

3. The area of rhombus is 4800m² . and side is 40m. Find the diagonals

a.65.8,124  b.145.83,65.83  c.33.9,117  d.38.7,128

4.A manufacturer of fridges produced 600 units in the third year and 700 units in the seventh year. Assuming that the production increases uniformly by a fixed no. Every year, the total production in seventh year will be       

a.4537  b.4375  c.4753  d.4735

5.In an arithmetic sequence ,the first term is 11,the nth term is 143 and the second term is 15, find the sum of first n terms of the sequence. 

 a.2681  b.2861  c.2618  d.2816

6.65% of students in a class like cartoon movies ,70% like horror movies and 75% like war movies. What is the smallest % of students liking all the 3 types of movies. 

a.30%  b.20%  c.10%  d.5%

7. The product of first 3 composite numbers is equal to                                  a.316  b.192  c.315  d.218

8.A,B and C have 40,x and y balls respectively. If B gave 20 balls to A, he is left with half as many balls as C . If together they had 60 more balls, each of them would have 100 balls on an average. Find ratio of x to y.

a.3:2   b.2:3  c.2:1  d.3:4

9. The auto fare consist of a fixed charge together with the charge for the distance covered. For a journey of 10 km, the charge paid is Rs85/- and for a journey of 15km, the charge paid is Rs120/-.The fare for the journey of 25km will be 

a..175  b.190  c.180  d.225

10.The avg. Marks of  a student in 8 subjects is 87. Of these highest marks is 2 more than the one next in value. If these 2 subjects are eliminated the avg. Marks of the remaining subjects is 85. Find the highest score.

a.91  b.94  c.89  d.96

 11. Shyam has 3 notebooks x,y and z. Of these , X has 120 pages, Y has 10% more and Z has 10% less .If he tore out 5%,10% and 15% of pages in X,Y and Z , then what % of total pages did he tear out.

a.8%  b. 15%  c.7%  d.not

 

12. A grocer sells rice at profit of 10% and uses wt which is 20% less. Find his total % gain.

a.25%  b.20%  c.10%  d.NOT

 

13.What is the maximum percentage discount that a merchant can offer on her marked price so that she ends up selling no profit or loss, if she had initially marked her goods up by 50%.

a.16.67%  b.20%  c.50%  d.33.33%

14. The concentration of petrol in 3 different mix. of(kerosene and petrol) is  ½, 3/5, 4/5. If 2L,3L and 1 L are taken from these three different vessels and mixed ,what is the ratio of petrol  and kerosene in the new mixture.                                                                                                         a. 4:5   b.3:2  c.3:5  d.2:3

15.A and B can do a piece of work in 20 and 15 days respectively. They work together for 6 days , after which B was replaced by C . If the work was finished in next 4 days,Then the no. Of days in which C alone could do work will be. 

 a.60 Days  b.40 days  c.35 Days  d.30days

16.Ratio of earnings of A and B is 4:7. If the earning of A increase by 50% and B decrease by 25%, the new ratio of their earnings become 8:7, How much is A earning.

a.28000  b.21000  c.26000  d.Data Inadequate

17. The Rate of Interest for Ist 2 years is 3%pa, for next 3yrs is 8%pa and for period beyond 5yrs is 10% pa. If a man earns Rs1520/- as SI for 6years, How much money did he deposit.

a.3500  b.3600  c.3700  d.3800

18.A sum of money lent at CI for 2 years at 20% pa would fetch Rs 462 more, if the interest was payable half yearly than if it was payable annually. The sum is       

 a.10000  b.20000  c.40000  d.50000

19.A,B and C together earn Rs 1450 and spend 60%,65%and 70% of their salaries respectively. If their savings are in ratio 14:21:15, the salary of B is 

a.500  b.600  c.450  d.750

20.In a test consisting of 150 qns carrying 1 mark each, Saurabh answered 80% of first 75 qns correctly. What % of the other 75 qns does he need to answer correctly to score 60% overall.

a.20  b.40  c.50  d.60

21, Postcard costing 30p each and Inland letters costing Rs1.50 each were purchased for Rs 66. Total no. Of postcard and inland letters purchased were 60 . If the number of postcards and Inland letters is interchanged, Then the cost is  

 a.42  b.30  c.21  d.60  

    

22. If (x-a)(x-b)=1 and a-b+5=0, then the value of (x-a)³ - 1/(x-a)³ is
a. -125 b. 1 c. 125 d. 140
23. If √x = √3 - √5, then the value of x²-16x+6 is
a. 0     b. -2    c. 2    d. 4
24. The value of √(2 ³√(4 √(2 ³√(4...... is        a. 2  b. 2²  c. 2³  d. 2⁵
25. The value of {3√2/(√3 + √6) - 4√3/(√6 + √2) + √6/(√2 + √3)} is   a.√2    b.0   c.√3   d.√6
26. If a²+b²+c² = 2(a-b-c), then the value of 4a-3b+5c is  a.2     b.3   c.5   d.6
27. If 2x + 2/x =3, then the value of x³ + 1/x³ +2 is  a.-9/8    b.-25/8    c.7/8    d.11
28. Out of the given , one of the factors of (a²-b²)³+(b²-c²)³+(c²-a²)³ is
a.(a+b)(a-b)    b.(a+b)(a+b)    c.(a-b)(a-b)  d.(b-c)(b-c)
29. An isosceles triangle ABC is right angled at B. D is a point inside the triangle ABC. P and Q are the feet of the perpendiculars drawn from D on the sides AB and AC respectively of ΔABC. If AP=a cm, AQ=b cm and <BAD=15°, sin75°=
a.2b/√3a     b.a/2b   c.√3a/2b   d.2a/√3b
30. Each interior angle of a regular octagon in radians is  a.π/4   b.3π/4   c.2π/3 d.π/3