SSC CGL Tier-2 11th September 2019 Maths

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SSC CGL Tier-2 11th September 2019 Maths - Question 2

The bar graph shows the exports of Cars of Type A and B (in ₹ millions).

In which year, the exports of cars of type A was 25% more than the average exports (per year) of cars of type A over the five years?

SSC CGL Tier-2 11th September 2019 Maths - Question 3

If $$\sin \theta = \sqrt{3} \cos \theta, 0^\circ < \theta < 90^\circ$$, then the value of $$2 \sin^2 \theta + \sec^2 \theta + \sin \theta \sec \theta + \cosec \theta$$ is:

SSC CGL Tier-2 11th September 2019 Maths - Question 4

To do a certain work, the ratio of efficiency of A to that of B is 3 : 7. Working together, they can complete the work in $$10\frac{1}{2}$$ days. They work together for 8 days. 60% of the remaining work will be completed by A alone in

SSC CGL Tier-2 11th September 2019 Maths - Question 5

The average of thirteen numbers is 47. The average of the tirst three numbers is 39 and that of next seven numbers is 49. The $$11^{th}$$ number is two times the $$12^{th}$$ number and $$12^{th}$$ number is 3 less then the $$13^{th}$$ number. What is the average of $$11^{th}$$ and $$13^{th}$$ numbers?

SSC CGL Tier-2 11th September 2019 Maths - Question 6

The bar graph shows the exports of Cars of Type A and B (in ₹ millions).

What is the ratio of the total exports of cars of type A in 2014 and 2018 to the total exports of cars of type B in 2015 and 2016?

SSC CGL Tier-2 11th September 2019 Maths - Question 10

The sides AB and AC of $$\triangle$$ABC are produced to P and Q respectively. The bisectors af $$\angle$$CBP and $$\angle$$BCQ meet at R. If the measure of $$\angle$$A is $$44^\circ$$, then what is the measure of, $$\frac{1}{2} \angle$$BOC ?

SSC CGL Tier-2 11th September 2019 Maths - Question 18

A shopkeeper bought 120 quintals of wheat. 20% of it was sold al 25% less. Al what percent gain should he sell the rest to gain 25% on the whole transaction?

SSC CGL Tier-2 11th September 2019 Maths - Question 20

Anu sold an article for ₹480 at some profit. Had she sold it for ₹400, then there would have been a loss equal to onethird of the initial profit. What was the cost price of the article ?

SSC CGL Tier-2 11th September 2019 Maths - Question 21

Ina school, $$\frac{4}{9}$$ of the numberof students are girls and the rest are boys. $$\frac{3}{5}$$ of the number of boys are below 12 years of age and $$\frac{5}{12}$$ of the number of girls are 12 years or above 12 years of age. If the number of students below 12 years of age is 480, then $$\frac{5}{18}$$ of the total number of students in the school will be equal to:

SSC CGL Tier-2 11th September 2019 Maths - Question 23

A and B can do a piece of work in 6 days and 8 days, respectively. With the help of C, they completed the work in 3 days and earned ₹1,848. What was the share of C ?

SSC CGL Tier-2 11th September 2019 Maths - Question 25

The given pie chart shows the breakup of total number of the employees of a company working in different offices (A, B, C, D and E).
Total No. of employees = 2400

What is the number of offices in which the number of employees of the company is between 350 and 650?

SSC CGL Tier-2 11th September 2019 Maths - Question 27

If the radius of a right circular cylinder is decreased by 20% while its height is increased by 40%, then the percentage change in its volume will be:

SSC CGL Tier-2 11th September 2019 Maths - Question 28

The number of students in a class is 75, out of which $$33\frac{1}{3}\%$$ are boys and the rest are girls. The average score in mathematics of the boys is $$66\frac{2}{3}\%$$ more than that of the girls. If the average score of all the students is 66, then the average score of the girls is:

SSC CGL Tier-2 11th September 2019 Maths - Question 29

A shopkeeper allows 28% discount on the marked price of an article and still makes a profit of 20%. If he gains ₹30.80 on the sale of one article, then what will be the cost price of the article?

SSC CGL Tier-2 11th September 2019 Maths - Question 30

In $$\triangle ABC, \angle A = 52^\circ$$ and O is the orthocenter of the triangle (BO and CO meet AC and AB at E and F respectively when produced). If the bisectors of $$\angle OBC$$ and $$\angle OCB$$ meetat P, then the measure of $$\angle BPC$$ is:

SSC CGL Tier-2 11th September 2019 Maths - Question 31

Let $$a, b$$ and $$c$$ be the fractions such that $$a < b < c$$. If $$c$$ is divided by $$a$$, the result is $$\frac{5}{2}$$, Which exceeds b by $$\frac{7}{4}$$. If $$a + b + c = 1\frac{11}{12}$$, then $$(c - a)$$ will be equal to:

SSC CGL Tier-2 11th September 2019 Maths - Question 33

Travelling at 60 km/h, a person reaches his destination in a certain time. He covers 60% of his journey in $$\frac{2}{5}th$$ of the time. At what speed (in km/h) should he travel to cover the remaining journey so that he reaches the destination right on time?

SSC CGL Tier-2 11th September 2019 Maths - Question 34

Study the graph and answer the question that follows.

What is the ratio of the total number of workers whose daily wages are less than $500 to the total number of workers whose daily wages are ₹600 and above?

SSC CGL Tier-2 11th September 2019 Maths - Question 36

If $$\left(\sqrt{2} + \sqrt{5} - \sqrt{3}\right) \times k = -12$$ then what will be the value of $$k$$?

SSC CGL Tier-2 11th September 2019 Maths - Question 38

A sum of ₹18,000 is lent at 10% p.a. compound interest. compounded annually. What is the difference between the compound interest for $$3^{rd}$$ year and $$4^{th}$$ year?

SSC CGL Tier-2 11th September 2019 Maths - Question 40

The ratio of the income of A to that of B is 5 : 7. A and B save ₹4,000 and ₹5,000 respectively. If the expenditure of A is equal to $$66\frac{2}{3}\%$$ of the expenditure of B, then the total income of A and B is:

SSC CGL Tier-2 11th September 2019 Maths - Question 41

In $$\triangle ABC, AB = 6 cm, AC = 8 cm,$$ and $$BC = 9 cm$$. The length of median $$AD$$ is:

SSC CGL Tier-2 11th September 2019 Maths - Question 43

$$\frac{\left(1+\cos\theta\right)^2+\sin^2\theta}{\left(\text{coec}^2\theta-1\right)\sin^2\theta}=$$

SSC CGL Tier-2 11th September 2019 Maths - Question 45

If $$(a + b) : (b + c) : (c + a) = 7 : 6 : 5$$ and $$a + b + c = 27$$, then what will be the value of $$\frac{1}{a} : \frac{1}{b} : \frac{1}{c}$$?

SSC CGL Tier-2 11th September 2019 Maths - Question 51

If $$5\sin\theta-4\cos\theta=0,0^{\circ}<\theta<90^{\circ}$$, then the value of $$\frac{5\sin\theta-2\cos\theta}{5\sin\theta+3\cos\theta}$$is:

SSC CGL Tier-2 11th September 2019 Maths - Question 52

If the radius of the base of a cone is doubled, and the volume of the new cone is three times the volume of the original cone, then what will be the ratio of the height of the original cone to that of the new cone?

SSC CGL Tier-2 11th September 2019 Maths - Question 54

A sum of ₹8,400 amounts to ₹11,046 at 8.75% p.a. simple interest in certain time. What is the simple interest on the sum of ₹9,600 at the same rate for the same time?

SSC CGL Tier-2 11th September 2019 Maths - Question 56

If a cuboid of dimensions 32 cm $$\times$$ 12 cm $$\times$$ 9 cm is cut into two cubes of same size, what will be the ratio of the surface area of the cuboid to the total surface area of the two cubes?

SSC CGL Tier-2 11th September 2019 Maths - Question 58

The ratio of investment by A to that by B in a business is 14 : 15 and the ratio of their respective profits at the end of a year is 2 : 5. IfA invested the money for 3 months, then for how much time (in months) B invested his money?

SSC CGL Tier-2 11th September 2019 Maths - Question 59

In $$\triangle ABC,AB=7cm,BC=10cm,$$ and $$AC = 8 cm$$. If $$AD$$ is the angle bisector of $$\angle BAC$$, where $$D$$ is a point on $$BC$$, then $$BD$$ is equal to:

SSC CGL Tier-2 11th September 2019 Maths - Question 60

The base of right prism is a trapezium whose parallel sides are 11 cm and 15 cm and the distance between them is 9 cm. If the volume of the prism is 1731.6 cm$$^3$$, then the height(in cm) of the prism will be:

SSC CGL Tier-2 11th September 2019 Maths - Question 65

The ratios of copper to zinc in alloys A and B are 3 : 4 and 5 : 9, respectively. A and B are taken in the ratio 2 : 3 and melted to form a new alloy C. What is the ratio of copper to zine in C?

SSC CGL Tier-2 11th September 2019 Maths - Question 66

In $$\triangle$$ABC, D and E are the points on sides AB and BC respectively such that DE $$\parallel$$ AC. If AD : DB = 5 : 3, then what is the ratio of the area of $$\triangle$$BDE to that of the trapezium ACED?

SSC CGL Tier-2 11th September 2019 Maths - Question 67

One year ago, the ratio of the age (in years) ofA to that of B was4 : 3. The ratio of their respective ages, 3 years from now,will be 6 : 5. What will be the ratio of respective ages of A and B, 9 years from now?

SSC CGL Tier-2 11th September 2019 Maths - Question 69

Asum of ₹5,000 is divided into two parts such that the simple interest on the first part for $$4\frac{1}{5}$$ years at $$6\frac{2}{3}\%$$ p.a is double the simple interest on the second part for $$2\frac{3}{4}$$ years at 4% p.a. What is the difference between the two parts?

SSC CGL Tier-2 11th September 2019 Maths - Question 71

The given pie chart shows the breakup of total number of the employees of a company working in different offices
(A, B, C, D and E).
Total No. of employees = 2400

If the percentage of male employees in office C is 20% and that of female employees in E is 40%, then what is the ratio of the number of female employees in C to that of female employees in E?

SSC CGL Tier-2 11th September 2019 Maths - Question 73

A number is first increased by 16% and then increased by 14%. The number, so obtained, is now decreased by 30%. What is the net increase or decrease percent in the original number(nearest to an integer)?

SSC CGL Tier-2 11th September 2019 Maths - Question 74

Radha marks her goods 25% above the cost price. She sells 35% of goods at the marked price, 40% at 15% discount and the remaining at 20% discount. What is her overall percentage gain?

SSC CGL Tier-2 11th September 2019 Maths - Question 75

Chord AB of a circle is produced to a point P, and is a point onthe circle such that PC is a tangent to the circle. If PC = 18 cm, and BP = 15 cm, then AB is equal to:

SSC CGL Tier-2 11th September 2019 Maths - Question 77

The internal and external radii of a hollow hemispherical vessel are 6 cm and 7 cm respectively. What is the total surface area (in cm$$^2$$) of the vessel?

SSC CGL Tier-2 11th September 2019 Maths - Question 79

In a constituency, 55% of the total number of voters are males and the rest are females. If 40% of the males are illiterate and 40% of the females are literate, then by what percent is the number of literate males more than that of illiterate females?

SSC CGL Tier-2 11th September 2019 Maths - Question 80

From the top of a tower, the angles of depression of two objects on the ground on the same side of it, are observed to be $$60^\circ$$ and $$30^\circ$$ respectively and the distance between the objects is $$400 \surd3$$ m. The height (in m) of the tower is:

SSC CGL Tier-2 11th September 2019 Maths - Question 81

A train travelling at the speed of x km/h crossed a 200 m long platform in 30 seconds and overtook a man walking in the same direction at the speed of 6 km/h in 20 seconds. What is the value of x ?

SSC CGL Tier-2 11th September 2019 Maths - Question 83

Three solid metallic spheres whose radii are 1 cm, X cm and 8 cm, are melted and recast into a single solid sphere of diameter 18 cm. The surface area (in $$cm^2$$) of the sphere with radius x cm is:

SSC CGL Tier-2 11th September 2019 Maths - Question 84

The value of $$\left(2\frac{6}{7}of4\frac{1}{5}\div\frac{2}{3}\right)\times1\frac{1}{9}\div\left(\frac{3}{4}\times2\frac{2}{3}of\frac{1}{2}\div\frac{1}{4}\right)$$ is:

SSC CGL Tier-2 11th September 2019 Maths - Question 85

An article is sold at a certain price. If it is sold at $$33\frac{1}{3}\%$$ of this price, there is a loss of $$33\frac{1}{3}\%$$ What is the percentage profit whenit is sold at 60% of the original selling price?

SSC CGL Tier-2 11th September 2019 Maths - Question 89

A circle is inscribed in $$\triangle ABC$$ , touching AB, BC and AC at the points P, Q and respectively. If AB - BC = 4 cm, AB - AC = 2 cm and the perimeter of $$\triangle ABC$$ = 32 cm, then PB + AR is equal to:

SSC CGL Tier-2 11th September 2019 Maths - Question 91

If the radius of a sphereis increased by 4 cm, its surface areais increased by $$464 \pi cm^2$$ . What is the volume(in $$cm^3$$) of the original sphere?

SSC CGL Tier-2 11th September 2019 Maths - Question 92

The sum of the digits of a two-digit number is $$\frac{1}{7}$$ of the number. The units digit is 4 less than the tens digit. If the number obtained on reversing its digits is divided by 7, the remainder will be:

SSC CGL Tier-2 11th September 2019 Maths - Question 93

The graph of the equation x — 7y = —42, intersects the y-axis at $$P\left(\alpha,\beta\right)$$ and the graph of 6x + y - 15 = 0, intersects the x-axis at $$Q\left(\gamma,\delta\right)$$, What is the value of $$\alpha+\beta+\gamma+\delta?$$

SSC CGL Tier-2 11th September 2019 Maths - Question 94

In quadrilateral $$ABCD$$, the bisectors of $$\angle A$$ and $$\angle B$$ meet at $$O$$ and $$\angle AOB = 64^\circ. \angle C + \angle D$$ is equal to:

SSC CGL Tier-2 11th September 2019 Maths - Question 95

‘A’started a business with a capital of ₹54,000 and admitted ‘B’ and ‘C’ after 4 months and 6 months, respectively. At the end of the year, the profit was divided in the ratio 1 : 4 : 5. What is the difference between the capitals invested by ‘B’ and ‘C’?

SSC CGL Tier-2 11th September 2019 Maths - Question 96

A and B started their journeys from X to Y and Y to X, respectively. After crossing each other, A and B completed the remaining parts of their journeys in $$6\frac{1}{8}$$ h and 8 h respectively. If the speed of B is 28 km/h, then the speed (in km/h) of A is:

SSC CGL Tier-2 11th September 2019 Maths - Question 97

The given pie chart shows the breakup of total number of the employees of a company working in different offices (A,B, C, D and E).
Total No. of employees = 2400

If 40% of the number of employees in office A are shifted equally to office B and E, then what is the difference between the number of employees in B and that in C?

SSC CGL Tier-2 11th September 2019 Maths - Question 99

A certain numberof persons can complete a work in 34 days working 9 h a day. If the number of persons is decreased by 40%, then how many hours a day should the remaining persons work to complete the work in 51 days?

SSC CGL Tier-2 11th September 2019 Maths - Question 100

The bar graph shows the exports of Cars of Type A and B (in ₹ millions).

The total exports of cars of type A in 2014 to 2017 is approximately what percentage less than the total exports of cars of type B in 2015 to 2018?

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