# SSC CHSL Tier 1 Practice Set (English)

### Section 3: Mathematics : SSC CHSL Tier 1 Practice Set

Q.1: If 7183+7383 is divided by 36, the remainder is:
(A) 0
(B) 8
(C) 9
(D) 13

Ans : (A) 0

Q.2: A shopkeeper marks his goods at a price such that after giving a discount of 20%, he gains 25%. If the cost price of the article is ₹560, what will be its marked price (in₹)?
(A) 914
(B) 875
(C) 856
(D) 765

Ans : (B) 875

Q.3: If $\frac{cot\theta+cos\theta}{cot\theta-cos\theta}=\frac{K+1}{1-K},K\neq1$, then K is equal to:
(A) sin$\theta$
(B) cosec$\theta$
(C) cos$\theta$
(D) sec$\theta$

Ans : (A) sin$\theta$

Q.4:

(A) 35 : 61
(B) 33 : 56
(C) 37 : 59
(D) 31 : 56

Ans : (B) 33 : 56

Q.5: 40 persons take 6 days to complete a certain task, working 10 hours a day. How many hours a day will be sufficient for 30 persons to complete the same task in 10 days?
(A) 9
(B) 8
(C) 10
(D) 6

Ans : (B) 8

Q.6: If $\sqrt{13} sin\theta=2$, then the value of $\frac{3tan\theta+\sqrt{13}sin\theta}{\sqrt{13}cos\theta-3 tan\theta}$ is:
(A) 5
(B) 4
(C) 3
(D) $\frac12$

Ans : (B) 4

Q.7: If $cos^2\theta-sin^2\theta-3cos\theta+2=0,0^o<\theta<90^o$, then what will be the value of $sec\theta-cos\theta$?
(A) $\frac43$
(B) $\frac12$
(C) $\frac32$
(D) $\frac23$

Ans : (C) $\frac32$

Q.8: If X+2y=19 and x3+8y3=361, then xy is equal to:
(A) 57
(B) 56
(C) 55
(D) 58

Ans : (A) 57

Q.9: The perimeter of a right-angled triangle whose sides that make right angles are 15cm and 20cm is:
(A) 60 cm
(B) 50 cm
(C) 70 cm
(D) 40 cm

Ans : (A) 60 cm

Q.10: The compound interest on a certain sum of money for 3 years, compounded annually, at a rate of interest of 10% per annum is ₹1,324. The sum is:
(A) ₹5,500
(B) ₹4,500
(C) ₹4,000
(D) ₹5,000

Ans : (C) ₹4,000

Q.11: The value of cosec $(58^o + \theta)-sec(32^o - \theta)$ + sin15osin35osec55osin30osec75o is :
(A) 1
(B) 2
(C) $\frac12$
(D) 0

Ans : (C) $\frac12$

Q.12: Study the given bar graph and answer the question that follows.

(A) 2002
(B) 2005
(C) 2007
(D) 2008

Ans : (A) 2002

Q.13: X sells an article to Y at 12% loss. Y sells it to Z at 9% profit. If Z Pays ₹21,582 for it, then at what price (in₹) was the article purchased by X?
(A) 19,800
(B) 23,275
(C) 22,500
(D) 21,000

Ans : (C) 22,500

Q.14: If (3x+2y)3+(3x-2y)3=3kx(3x2+4y2), then the value of K will be:
(A) 18
(B) 9
(C) 3
(D) 6

Ans : (D) 6

Q.15: The value of $42\div10-(\frac74\times\frac13)of \frac65+\frac{16}{3}\times\frac{9}{10}-(\frac16\div\frac{1}{36})$ is:
(A) 1.7
(B) 2.9
(C) 1.5
(D) 2.3

Ans : (D) 2.3

Q.16: A solid cube having volume 46656 cm3 is cut into 27 cubes of equal volume. The surface area :in cm2 ) of the smaller cubes is:
(A) 864
(B) 756
(C) 936
(D) 921

Ans : (A) 864

Q.17: If 27x3-64y3=(Ax+By)(Cx2+Dy2-Exy), then value of (A-B+C-D+E) will be:
(A) -12
(B) 18
(C) 15
(D) -20

Ans : (A) -12

Q.18: A circle touches the side BC of $\triangle\text{ABC}$ at P and also touches AB and AC produced at Q perimeter of $\triangle\text{ABC}=14.1$cm, then the length (in cm ) of AQ will be:
(A) 10.3
(B) 7.05
(C) 6.25
(D) 9.15

Ans : (B) 7.05

Q.19: Study the given graph and answer the question that follows.

(A) 2018
(B) 2017
(C) 2019
(D) 2015

Ans : (C) 2019

Q.20: In a proportion, the product of the first and fourth terms is 70 and that of the second and third terms is 3.5y. The value of y is:
(A) 17
(B) 20
(C) 15
(D) 22

Ans : (B) 20

Q.21: Two circles touch each other extremally. The distance between their centers is 14 cm. If the radius of one circle is 8 cm, then the radius of the other circle is:
(A) 7 cm
(B) 6 cm
(C) 5 cm
(D) 8 cm

Ans : (B) 6 cm

Q.22: The average of 42 numbers is 37. The average of the first 26 number is 32, and the average of the last 17 numbers is 44. The 26th number is:
(A) 28
(B) 27
(C) 26
(D) 25

Ans : (C) 26

Q.23: Dimple is travelling at a speed of 90 km per hour on a highway, while Sachin is travelling at a speed of 108 km per hour. What is the difference in their speeds, in metres per second?
(A) 5
(B) 3
(C) 4
(D) 6

Ans : (A) 5

Q.24: In $\triangle\text{ABC}$, D and E are the points on the sides AB and AC, respectively such that $\angle\text{AED}=\angle\text{ABC}$. If AE=6 cm, BD=2 cm, DE=3 cm and BC=5cm, then (AB+AC) is equal to:
(A) $\frac{86}{3}$ cm
(B) $\frac{49}{3}$ cm
(C) $\frac{50}{3}$ cm
(D) $\frac{70}{3}$ cm

Ans : (D) $\frac{70}{3}$ cm

Q.25: Gaurav earns 800 per day. After some weeks, he earns 960 per day. What is the percentage increase in his daily earnings?
(A) 18%
(B) 20%
(C) 16%
(D) 14%