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SSC CGL Quantitative Aptitude Questions: For Tier 1 Examination | Part 1

SSC CGL Quantitative Aptitude Questions

SSC CGL Quantitative Aptitude is arguably one of the toughest section of SSC CGL Exam. All the topics in this section require extra effort and practice. Mastering the topics in the SSC CGL Tier 1 Quantitative Aptitude section is the key to achieve an above-average score in the SSC CGL 2019-20 ExamThe SSC is going to conduct SSC CGL  2019-20 Tier 1 Examination from 2 March 2020 to 11 March 2020. Keeping in mind the toughness level of the SSC CGL Quant Section we have brought you the topic-wise SSC CGL Quantitative Aptitude Questions important from the examination point of view. Read along to know the important questions and practice them to score the highest in the SSC CGL Quantitative Section.

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SSC CGL Quantitative Aptitude Questions: Attempt Important Questions

Before moving on to the Important SSC CGL Quantitative Aptitude Questions, let’s have a quick look at the number of questions asked from the different topics in SSC CGL Tier 1 Quantitative Aptitude Section 2019.

Topics Number of Questions
Geometry 3 to 4
Data Interpretation 4 to 5
Algebra 2 to 3
Trigonometry 3
Number System 1
Ratio and Proportion 1 to 2
Profit and Loss 1
Simple Interest & Compound Interest 1 to 2
Speed, Time & Distance 1
Simplification 1
Time & Work 1
Miscellaneous 1
Total 25

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SSC CGL Quantitative Aptitude Questions: Attempt Tier 1 Questions

Find below the SSC CGL Quantitative Aptitude Questions topic-wise important for SSC CGL Tier 1 examination

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SSC CGL Quantitative Aptitude Questions – Important Speed, Time & Distance Questions

Q1. A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?

(a) 50 meters

(b) 100 meters

(c) 120 meters

(d) None of the above

Answer: Option B

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Q2. A man in a train notices that he can count 41 telephone posts in one minute. If they are known to be 50 metres apart, then at what speed is the train traveling?

(a) 100 Km/hr

(b) 110 Km/Hr

(c) 120 Km/Hr

(d) 150 Km/Hr

Answer: Option C

 

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Q3. A cyclist covers a distance of 750 meters in 2 minutes 30 seconds. What is the speed in km/hr of the cyclist?

(a) 18 Km/hr

(b) 20 Km/Hr

(c) 15 Km/Hr

(d) 7.5 Km/Hr

Answer: Option A

 

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Q4. Excluding stoppages, the speed of a bus is 54 km/h and including stoppages, it is 45 km/h. For how many minutes does the bus stop per hour?

(a) 5 mins

(b) 10 mins

(c) 15 mins

(d) 7.5 12 mins

Answer: Option B

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SSC CGL Quantitative Aptitude Questions – Important Geometry Questions

Q1) In a Δ ABC, if D and E are the points on the sides AB and AC respectively such that DE || BC and if AD = x , DB = x – 2 , AE = x + 2 and EC = x – 1. then find the value of x.

A. 5
B. 4
C. 3
D. 2

Answer: Option B

Explanation: 

B

Since DE || BC

Therefore, AD/DB = AE/EC

⇒ x/x-2 = x+2/x-1
⇒ x2 – x = x2 – 4
⇒ x(x –1) = (x +2)(x –2)

⇒ x = 4

Hence, option B is correct.

Q2) In ΔABC, AB = AC, ∠B = 70°, ∠BAD = 80°, ∠ADE = ?

A. 150°
B. 135°
C. 140°
D. 120°
Correct Answer: Option A

Explanation:

A

∠B = ∠ACB = 70°
∠BAC = 180° – (70° + 70°) = 40°

∠ADE = ∠CAD + ∠ACD = 40° + 110° = 150°

Hence, option A is correct.

SSC CGL Quantitative Aptitude Questions – Important Data Interpretation Questions

Ques.1-5. Study the following graph carefully and answer the related questions. Line graph shows the stream speed and effective speeds in the direction of boat A and in the opposite direction of boat B during 6 days of a week.
1. The difference between effective speeds of boat B on Monday and Tuesday when the stream is flowing in the direction of boat B is what percent more or less than the effective speed of the same boat on Saturday when the stream is flowing opposite to it?
a) 50%
b) 75%
c) 100%
d) 120%
e) 150%
2. If boat A traveled for 30 km and 20 km upstream on Tuesday and Wednesday respectively and boat B traveled 50 km and 45 km downstream on Thursday and Friday respectively. Find the total time taken by both the boats.
a) 11 hr
b) 12 hr
c) 13 hr
d) 14 hr
e) 15 hr
3. If on Sunday, boat B traveled downstream with 20% more downstream speed than previous day and boat A traveled upstream with 25% more upstream speed than the previous day, what will be the ratio between upstream speed of boat A and downstream speed of boat B on Sunday?
a) 5: 12
b) 12: 5
c) 11: 17
d) 17: 11
e) None of these
4. If the sum of time taken by stream to travel in the direction of boat A and boat B for the same distance on Monday is 13 hours, what is the time taken by stream to travel in the direction of boat B on Wednesday for the same distance?
a) 4 hr 12 minutes
b) 4 hr 42 minutes
c) 5 hr
d) 6 hr
e) 6 hr 24 minutes
5. On Friday, the total distance traveled downstream by boat A and boat B is 310 km and time taken by boat A and boat B to travel downstream is in the ratio 4: 5. Find the average speed of boat A if the ratio of time taken by boat A to travel upstream and downstream on Friday is 3: 2.
a) 14 km/hr
b) 15.5 km/hr
c) 16.5 km/hr
d) 17 km/hr
e) None of these
Solution:
1. Correct answer: (e)
2. Correct answer: (c)
3. Correct answer: (a)
4. Correct answer: (a)
5.  Correct answer: (b)

SSC CGL Quantitative Aptitude Questions – Important Algebra Questions

Q1) If x = 2 then the value of x3 + 27x2 + 243x + 631 is:

A. 1211
B. 1231
C. 1233
D. 1321

Correct Answer: Option C

Q2) if x + 1/x = 99, find the value of 100x / (2x+ 102x + 2)

A. 1/6
B.1/2
C.1/3
D.1/4

Correct answer: Option C

SSC CGL Quantitative Aptitude Questions – Important Trigonometry Questions

Q1) If cosΘ = – 1/2 and π < Θ  < 3π, find the value of 4 tan2Θ – 3 cosec2Θ

A. 12
B. 8
C. 4
D. 2

Correct Answer: Option B

Explanation: 

B

We know that
sinΘ = ± 1 – cos2

or, sinΘ = 1-1/4 = 3/2

Since Θ lies in the third quadrant, the value of sinΘ is negative.
or, cosecΘ = -2/3

and tanΘ= sinΘ/cosΘ = 3

Since Θ lies in the third quadrant, the value of tanΘ is positive.]
Now, 4 tan2Θ – 3 cosec2Θ = 4 × 3 – 3 × 4/3 = 8

Q2) If 8 sin x = 4 + cos x, the values of sin x are :

A. 3/5, -5/13
B. -3/5, 5/13
C. -3/5, -5/13
D.  3/5, 5/13

Correct Answer: Option D

Explanation: 8 sin x – 4 = cos x ⇒ 8 sin x – 4 = 1- sin2 x

⇒ sin x = 3/5 or sin x = 5/13

⇒ 1 – sin2 x = (8 sin x – 4)2

⇒ 1 – sin2 x = 64 sin2 x + 16 – 64 sin x

⇒ 65 sin2 x – 64 sin x + 15 = 0

⇒ 65 sin2 x – 39 sin x  –  25 sin x + 15 = 0

⇒ 13 sin x (5 sin x  – 3)  –  5 (5 sin x  –  3) = 0

⇒ (5 sin x – 3) (13 sin x – 5) =0
therefore, sin x = 3/5 or 5/13

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SSC CGL Quantitative Aptitude Questions – Important Number System Important Questions

Q1) The sum of two numbers is 184. If one-third of the one exceeds one-seventh of the other by 8, find the smaller number.

A. 65
B. 68
C. 70
D. 72

Correct Answer: Option D

Q2) Find a number such that when 15 is subtracted from 7 times the number, the result is 10 more than twice the number.

A. 5
B. 10
C. 15
D. 20

Correct Answer: Option A

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SSC CGL Quantitative Aptitude Questions – Important Ratio and Proportion Questions

Q1) The ratio of efficiency of Q and R is 4: 5. When P works with 50% more efficiency than his actual efficiency, work is completed in 10 days less as compared to when he worked with 75% of his actual efficiency and when Q works with 50% less efficiency than his actual efficiency, work is completed in 30 days more as compared to when he worked with 25% more efficiency than his actual efficiency. Find the approximate time taken by P, Q, and R together to complete the whole work.

a) 5 hours 37 min
b) 6 hours 23 min
c) 7 hours 18 min
d) 8 hours 9 min
e) None of these

Correct Answer: Option B

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SSC CGL Quantitative Aptitude Questions – Important Compound Interest and Simple Interest

Q1) A sum of 13300 is to be divided between Anshul, Karan and Rahul who are respectively 19, 20 and 21 years old in the ratio 5: 7: 7. Their shares are invested at a% per annum at simple interest and the sum of the amount received by them at the age of 25 years is 5208. What is the difference between compound interest when Karan and Anshul invested their shares for two years?

a) Rs.300
b) Rs.279.55
c) Rs.250
d) Rs.232.96
e) None of these

Solution: Correct answer: (d)

Q2)  P and Q have equal amounts. P invested half amount at 10% compound interest and remaining half at 6% simple interest for 2 years and Q invest amount at 20% compound interest and remaining amount at 10% simple interest for 2 years. If the total interest received by both P and Q is Rs.7540, find the sum.
a) Rs.12000
b) Rs.12500
c) Rs.13500
d) Rs.14000
e) None of these solutions:

Correct Answer: Option (a)

 

SSC CGL Quantitative Aptitude Questions – Important Miscellaneous Questions

Q1) The radii of three cylinders A, B and C are in the ratio 2: 3: 4 and their heights are 20%, 25% and 30% more than the length, breadth and height of a wooden block whose sides are in the ratio 7: 5: 3. What is the ratio of the difference between the volumes of cylinders A and C to the sum of the volume of cylinders having the largest and shortest height?
a) 11: 43
b) 7: 22
c) 15: 29
d) 17: 63
e) None of these

Solution: Correct answer: (d)

Q2) A ration shopkeeper wants to make some profit by selling wheat. He tries various methods to earn profit. Which one of his methods would maximize his profit?

a) Selling wheat at a direct profit of 15%.
b) Selling wheat, using 800 gm instead of 1 kg.
c) Increasing the price of wheat by 6 %.
d) Adding some impurities of about 5% and decreasing the weights by 5 %.

A) a only.
B) b only .
C) a , b , c .
D) only c.
E) None of these

Solution: Correct answer is B

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Q3) A man take 30 days to reach the point c under normal conditions. But, due to the increase in the bad weather conditions, the distance is reduced by 30. How many days would a man take to reach the point c.

a) 25
b) 15
c) 20
d) none of the above

Solution: Correct answer is “d”

Q4) If A &amp; B work together, they will complete a job in 7.5 days. However if A works alone and completes half the job and the B takes over and completes the remaining half alone, they will be able to complete the job in 20 days. How long will B alone take to do the job if A is more efficient than B?

a 20
b 30
c 36
d 40

Solution: Correct answer is “b”

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Q5) (4.5 × 4.5 × 4.5 × 4.5) ÷ 225 ÷ 25 + 33 = ?

(a) 27.729
(b) 277.29
(c) 27.0729
(d) 2772.90

Correct Answer – Option c

Q6) 38.4% of 1450 + 78.2% of 240 – ?2 = 20% of 77.4

(a) 19
(b) 27
(c) none of these
(d) 81

Correct Answer – Option b

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