SSC CGL Mock Test-4 Quantitative Aptitude with Solutions
Quantitative Aptitude can become one of the high scoring sections in SSC CGL Tier-I Exam, if practiced well. Getting a good score in this section demands in-depth knowledge of all the formulas and the pattern of question asked. Therefore, rigorous practice is required for acing this section. For your practice, we have designed mock papers which will test your mathematical skills.
We have covered the following five major categories of Quantitative Aptitude Section in this mock test:
1. Arithmetic
2. Algebra
3. Geometry and Mensuration
4. Trigonometry
5. Data Interpretation
So, let’s continue the practice with the 4^{th} Quantitative Aptitude Mock Test. You must try to finish all the 25 questions within 25 minutes time duration. After attempting all the questions, you can assess your performance by checking answers alongwith their solutions given latter in this article.
Quantitative Aptitude Mock Test-4 |
1. How many numbers are divisible by 275 between 1000 and 6000?
a) 16
b) 18
c) 14
d) 20
2. The marked price of an article for sale is 20% of its cost price. How much percent does the dealer gain by allowing a discount of 15%?
a) 5%
b) 7%
c) 10%
d) 6.25%
3. A shopkeeper allows a discount of 22.5% on the marked price of a certain article and makes a profit of 40%. If the article costs the shopkeeper Rs.155, then the marked price of the article will be:
a) 380
b) 280
c) 480
d) 180
4. The Simple Interest on Rs.5000 in 4 years @ y% p.a. equals the Simple Interest on Rs.8000 @ 10% p.a. in 2 years. Find the value of y.
a) 4%
b) 16%
c) 32%
d) 8%
a) 99/100
b) 85/324
c) 100/99
d) 77/324
7. If x distance is covered at speed and half of this distance is covered in double the time. Then find the ratio of the two speeds.
a) 2 : 1
b) 4 : 1
c) 3 : 1
d) 1 : 1
8. If a bus travels at 20 km/hr, it reaches the destination late by 11 minutes. But if it runs at 25 km/hr, it reaches late only by 5 minutes. Find the exact time in which the bus will complete the journey without getting late?
a) 19 minutes
b) 20 minutes
c) 16 minutes
d) 21 minutes
9. Seema takes 3 days to do a piece of work while Manisha takes only one day for the same. Together they both can finish the job in 15 days. In how many days Manisha will finish the work?
a) 60 Days
b) 30 Days
c) 20 Days
d) 40 Days
10. A cricket player has an average score of 40 runs for 52 innings played by him. In an innings his highest score exceeds his lowest score by 100 runs. If these two innings are excluded, his average of the remaining 50 innings is 38 runs. Find his highest score in an innings.
a) 80
b) 40
c) 140
d) 60
11. If 558 coins consist of 1 Re. coins, Rs. 2 coins and Rs. 5 coins, whose value are in the ratio of 13:11:7, then find the total amount of Rs. 2 coins.
a) Rs. 198
b) Rs. 396
c) Rs. 792
d) Rs. 990
12. Rs. 372 was to be divided among A, B and C in the ratio of 1/2 : 1/3 : 1/5. But by mistake it was divided in the ratio of 2 : 3 : 5. Find the excess amount received by C.
a) Rs. 114
b) Rs. 104
c) Rs. 124
d) Rs. 94
14. If a regular polygon’s each angle is equal to 4/5 times of two right angles, then find out the number of sides of the polygon?
a) 4
b) 8
c) 6
d) 10
15. Find the value of x and y respectively from the figure given below where ∠c=2y^{0}.
a) 120°, 40°
b) 80°, 40°
c) 40°, 120°
d) 40°, 80°
16. In the figure the line XAY is tangent to the circle at A with centre 0. If ∠CAX=80^{0} and ∠CAB= 30^{0}, then what will be the value of ∠ACB.
a) 30^{0}
b) 80^{0}
c) 100^{0}
d) 50^{0}
17. Two circles touch each other internally and their radii are 4cm and 6cm. Find the length of the biggest chord of the greater circle which is outside the inner circle.
a) 8 cm
b) 4√2 cm
c) 8√2 cm
d) 4 cm
18. Evaluate cos 40^{0} /sin 50^{0}
a) -1
b) 1
c) 2
d) 0
19. (1+ cot^{2} θ)(1+cosθ)(1-cosθ) = ?
a) 0
b) -1
c) 2
d) 1
20. sin^{2} θ + cosec^{2} θ - 2 = ?
a) –cos^{4} θcosec^{2} θ
b) cos^{4} θsec^{2} θ
c) cos^{4} θcosec^{2} θ
d) sec^{4} θcosec^{2} θ
Direction (21 – 25): Read the table given below and answer the questions:
Food Grain production in India in 2014 (in lakh tons)
States |
Rice |
Wheat |
Maize |
Pulses |
Others |
Haryana |
45 |
103 |
- |
27 |
29 |
Rajasthan |
48 |
86 |
73 |
19 |
15 |
Punjab |
59 |
32 |
67 |
14 |
31 |
Odisha |
41 |
37 |
59 |
21 |
15 |
Maharashtra |
37 |
22 |
41 |
13 |
11 |
Karnataka |
68 |
15 |
12 |
- |
18 |
Tamil Nadu |
57 |
8 |
7 |
12 |
10 |
Kerala |
38 |
28 |
31 |
22 |
45 |
21. Which state produces 70 tons of more grains than Tamil Nadu?
a) Kerala
b) Maharashtra
c) Punjab
d) Haryana
22. What was the proportion of rice production in Karnataka to wheat production in Rajasthan?
a) 1 : 1
b) 1.2 : 1
c) 2 : 1
d) 0.8 : 1
23. Maize was the most important food grain in the state/ states?
a) Rajasthan, Punjab and Odisha
b) Punjab & Odisha
c) Punjab, Odisha and Maharashtra
d) Rajasthan & Punjab
24. Haryana alone accounted for approximately what percentage of wheat production in the country?
a) 30%
b) 32%
c) 33%
d) 31%
25. If the average per hectare yield of rice in the country was 30 tons, then find the area under rice cultivation during the year (approx. in lakh hectares).
a) 15
b) 30
c) 13
d) 26
Know the Detailed Exam Pattern and Syllabus of SSC CGL 2018 Exam
Quantitative Aptitude Mock Test-4: Answers with Solutions |
1. Answer: b)
Explanation: Numbers (n) which are divisible by 275 between 1000 and 6000:
1100, 1375, …………., 5775
First Term, a = 1100
Common difference, d = 275
Last Term, Tn = 5775
Tn = a + (n-1) d
5775 = 1100 + (n-1) 275
4675 = (n-1) 275
n-1 = 17
Therefore, n = 18
2. Answer: d)
Explanation: Let the CP of the article be Rs.100
Marked Price = (100×100) / 80 = Rs.125
Then, SP after discount = (125×85) / 100 = Rs.106.25
Gain Percent = (106.25-100)/100×100 = 6.25%
3. Answer: b)
Explanation: Marked Price = (155×140) / 77.5 = Rs.280
4. Answer: d)
Explanation:
5. Answer: b)
Explanation:
6. Answer: d)
Explanation:
7. Answer: b)
Explanation:
8. Answer: a)
Explanation:
9. Answer: c)
Explanation: Seema’s + Manisha’s 1 Day’s work = 1/15
Since, Seema takes 3 days to do a piece of work while Manisha takes only one day for the same.
∴ Manisha = 3 Seema
4 Seema = 1/15
Seema will take 60 Days and Manisha will take 20 Days to finish the work.
10. Answer: c)
Explanation: Let the lowest score of the cricketer be x.
∴ Cricketer’s Highest score = x + 100
x + x + 100 = 40 × 52 - 50 × 38
2x + 100 = 2080 - 1900
2x = 80
x = 40
Highest score is 140 runs.
11. Answer: b)
Explanation: Rs. 2 coins = 11/31 × 558 × 2 = Rs.396
12. Answer: a)
Explanation:
13. Answer: a)
Explanation:
14. Answer: d)
Explanation:
15. Answer: a)
Explanation:
16. Answer: d)
Explanation:
17. Answer: c)
Explanation:
18. Answer: b)
Explanation:
19. Answer: d)
Explanation: (1 + cot^{2} θ)(1 + cosθ)(1 - cosθ)
(1+ cot^{2} θ)(1- cos^{2} θ)
cosec^{2} θ sin^{2} θ = 1
20. Answer: c)
Explanation:
21. Answer: a)
Explanation: Haryana = 204
Rajasthan = 241
Punjab = 203
Odisha = 173
Maharashtra = 124
Karnataka = 113
Tamil Nadu = 94
Kerala = 164
22. Answer: d)
Explanation: Rice Production in Karnataka = 68
Wheat Production in Rajasthan = 86
Required proportion = 68/86 = 0.8∶1
23. Answer: c)
Explanation: Punjab, Odisha and Maharashtra
24. Answer: d)
Explanation: Haryana wheat production = 103
Total wheat production = 331
Required percentage = 103/331 × 100 = 31.12%
25. Answer: c)
Explanation: Total rice production = 393 lakh tons
Average yield of rice = 30 tons per hectare
Required area = (393 lakh tons)/(30 tons per hectare) = 13.1 lakh hectares
We have covered the following topics in the above Mock Test-4
Quantitative Aptitude Topics |
Number of Questions |
---|---|
Number systems |
1 |
Percentages, Profit & Loss and Interest |
3 |
Algebra |
2 |
Speed, Time & Distance |
2 |
Time & Work |
1 |
Averages |
1 |
Ratio & Proportion |
2 |
Surds/ Quadratic Equation/ Mixture & Alligation |
1 |
Geometry |
4 |
Trigonometry |
3 |
Data Interpretation |
5 |
Total |
25 |
The difficulty level of the above mock test was ranging between easy to difficult level and a good score would lie between 17 to 20 marks. Don’t stop your practice until you achieve efficiency and accuracy. Try another mock test here – Quantitative Aptitude Mock Test.
Know the SSC CGL 2018 Quantitative Aptitude Preparation Strategy