SSC CHSL
Q. 1. Simplify the equation
 b  [b(a + b)  {b(b  a  b)} + 2a]
A.
2bB.
1C.
0D.
3bCorrect Answer is: C
Q. 2.
Simplify the equation

(213 x 213 + 187 x 187)
A.
80338B.
80438C.
60338D.
60438Correct Answer is: A
Q. 3. What is the remainder, when 4x⁴ + 10x³  20x² + 90 is divided by (x + 2)?
A.
0B.
6C.
45D.
90Correct Answer is: B
Q. 4. What will be the value of xy, if x² + y² = 45 and x y = 5?
A.
10B.
15C.
20D.
25Correct Answer is: A
Q. 5. The smallest angle of a triangle is 40° less than the largest angle. If the largest angle is 80° , then find the third angle of the triangle.
A.
40°B.
90°C.
80°D.
60°Correct Answer is: D
Q. 6.
If the line DE is drawn paraller to the base BC of a ∆ABC by intersecting the other two sides, then which of the following is the correct equation for this case.
A.
AB / DB = AC / ECB.
AD / AB = DB / ECC.
AD / DB = EC/ AED.
AD / DB = AE / ECCorrect Answer is: D
Q. 7. Price of 1 kg of sugar is increased by 30% and the increase is of ₹48. What is the new price (in ₹) of the sugar per kg?
A.
178B.
160C.
208D.
216Correct Answer is: C
Q. 8. The sum of three numbers is 67. If the ratio of the first number to the second number is 3 : 5 and that of the second number to the third number is 4 : 7, then what is the second number?
A.
20B.
24C.
18D.
16Correct Answer is: A
Q. 9. A started a business with the capital of ₹1800. After 4 months B joined with ₹3600, 6 months after from the business started C joined with ₹1200. If the total profit earned at the end of the year is ₹1760, then what is the share (in ₹) of A
A.
540B.
660C.
840D.
720Correct Answer is: B
Q. 10.
The average of 8 consecutive intergers is $\frac{23}{2}$, What is the average of first three integers?
Select the correct answer
A.
9
B.
19/2
C.
8
D.
10
Correct Answer is: A
Q. 11. simple interest on a sum for eight months at 6% per annum is ₹340. What is the value (in ₹) of sum?
A.
8500B.
9500C.
8000D.
6800Correct Answer is: A
Q. 12. A trader sells wire and gains 60% on the cost price. What will be the profit percentage on selling price?
A.
33.33B.
40C.
37.5D.
60Correct Answer is: C
Q. 13.
Marked price of an article is ₹520 and selling price is ₹384.8. What is the discount percentage?
A.
24.42B.
26C.
35.13D.
29Correct Answer is: B
Q. 14. Read the following question carefully and find what is the value of 
A.
25B.
50C.
100D.
75Correct Answer is: B
Q. 15. Ram and Shyam undertook a work for ₹5600, Ram alone can do the work in 5 days and Shyam alone can do the work in 9 days. If they work together, then what will be the difference (in ₹) in the amount they receive?
A.
1800B.
2400C.
2200D.
1600Correct Answer is: D
Q. 16. A man covered a certain distance by a train at the speed of 40 km/h and covers the sam distance back by walking at the speed of 8 km/h. If the whole journey took 12 h, then what is the one side distance (in km)?
A.
80B.
60C.
90D.
100Correct Answer is: A
Q. 17. The piechart shows the breakup of expenditure of a trading company for the year 2017. Study the diagram and answer the following questions.
A.
RentB.
MarketingC.
LogisticD.
AccountsCorrect Answer is: B
Q. 18. The piechart shows the breakup of expenditure of a trading company for the year 2017. Study the diagram and answer the following questions.
A.
2200B.
2400C.
2100D.
2000Correct Answer is: B
Q. 19. The piechart shows the breakup of expenditure of a trading company for the year 2017. Study the diagram and answer the following questions.
A.
50B.
60C.
75D.
40Correct Answer is: B
Q. 20. The piechart shows the breakup of expenditure of a trading company for the year 2017. Study the diagram and answer the following questions.
A.
30%B.
36%C.
27.50%D.
33.33%Correct Answer is: D
Q. 21.
The side of an equilateral triangle is 8 cm. Find its are (in cm²).
Select the correct answer
A.
25$\sqrt{3}$
B.
16$\sqrt{2}$
C.
28$\sqrt{2}$
D.
16$\sqrt{3}$
Correct Answer is: D
Q. 22. The area of a circle is 346.5 cm². Find its circumference (in cm).
A.
132B.
38C.
66D.
76Correct Answer is: C
Q. 23. Find the total surface area (in cm²) of a cube of side 7.5 cm.
A.
364.5B.
446C.
337.5D.
684Correct Answer is: C
Q. 24.
What Is the value of (tan 45° + $\frac{1}{\sqrt{2}}$) = ?
Select the correct answer
A.
$\frac{5}{\sqrt{3}}$
B.
$\frac{7}{2\sqrt{3}}$
C.
$\frac{(\sqrt{2}+1)}{\sqrt{2}}$
D.
$\frac{4}{\sqrt{3}}$
Correct Answer is: C
Q. 25.
∆PQR is right angled at Q. If cosec P = $\frac{17}{15}$, then what is the value of sin R?
Select the correct answer
A.
$\frac{15}{17}$
B.
$\frac{8}{17}$
C.
$\frac{17}{8}$
D.
$\frac{17}{15}$
Correct Answer is: B
Q. 26. Read the following question carefully and answer it.
A.
5B.
4C.
0D.
3Correct Answer is: C
Q. 27. Simplify (11.998)³ = ?
A.
1727.136B.
1331.136C.
1685.136D.
1700.136Correct Answer is: A
Q. 28. Read the following question carefully and answer it.
A.
1B.
2C.
3D.
4Correct Answer is: B
Q. 29. Read the following question carefully and answer it.
A.
9B.
64C.
125D.
216Correct Answer is: B
Q. 30.
In the two triangles ∆ABC and ∆DEF, the sides AB = DE and BC = EF. Which of the following option is correct, which results in the ∆ABC ≅ ∆DEF ?
A.
∠ACB = ∠EDFB.
∠BAC = ∠EDFC.
∠ACB = ∠DFED.
∠ABC = ∠DEFCorrect Answer is: D
Q. 31. The triangle ABC and DEF are similar to each other. The measure of the ∠A and ∠E is 67° and 83° respectively. What is the value of ∠C?
A.
20°B.
30°C.
40°D.
50°Correct Answer is: B
Q. 32. If R = 97 and S = 155.2, then S is how much percentage more than R?
A.
60B.
37.5C.
58.2D.
48Correct Answer is: A
Q. 33. The ratio of two numbers is 5 : 6 . If their product is 1470, then what is the sum of both the numbers?
A.
210B.
77C.
132D.
98Correct Answer is: B
Q. 34.
U starts a business by investing ₹45000 and V join him after one year with an amount of ₹33000. After two years from the starting of business, they earned profit of ₹16400. What will be the U's share (in ₹) in the profit?
A.
11200B.
9600C.
10000D.
12000Correct Answer is: D
Q. 35.
A man buys 7 shirts at ₹300 each. 2 trousers at ₹450 each and 1 pair of shoes ₹500 each. What is the average expenditure (in ₹) per article?
A.
210B.
250C.
320D.
350Correct Answer is: D
Q. 36.
Compound interest on a certain sum for 2 yr at the rate of 11% per annum is ₹1160.5. What will be the simple interest (in ₹) for the same amount at the same rate of interest for 2 yr?
A.
9000B.
1000C.
1100D.
1050Correct Answer is: C
Q. 37.
Two shirts are bought at the rate of ₹400 each. Shopkeeper sells one at the profit of 150% and other at the loss of 150%. What will be the total transaction?
A.
loss of ₹50B.
No profit/lossC.
profit of ₹25D.
loss of ₹150Correct Answer is: B
Q. 38. Deepak marks the price of his table 60% above the cost price. He gives some discount on it and earns profit of 15.2%. What is the discount percentage?
A.
36.4B.
28C.
44.8D.
38.9Correct Answer is: B
Q. 39.
$\sqrt[3]{729}$ +$\sqrt{441}$ $\sqrt[3]{343}$ = ?
Select the correct answer
A.
48
B.
23
C.
7
D.
41
Correct Answer is: B
Q. 40. Parvesh is three times as efficient as Dinesh. Parvesh takes 20 days less than Dinesh to complete a book. If both of them work together, then in how many days the book will be completed?
A.
7.5B.
8C.
10D.
6.5Correct Answer is: A
Q. 41.
If Shubhangi walks with a speed of 2 km/h, then she reaches her school 2.5 min late but if she walks with a speed of 2.5 km/h, then she reach 5 min before the schduled time. What is the distance (in km) of her school from her house?
A.
1.025 kmB.
1.125 kmC.
1.25 kmD.
1.5 kmCorrect Answer is: C
Q. 42.
The piechart shows the results of an online survey which asked people about their favourite travel destination . Study the diagram and answer the following questions.
A.
Hong KongB.
MauritiusC.
SingaporeD.
GoaCorrect Answer is: D
Q. 43.
The piechart shows the results of an online survey which asked people about their favourite travel destination . Study the diagram and answer the following questions.
A.
2150B.
2400C.
2250D.
2100Correct Answer is: C
Q. 44.
The piechart shows the results of an online survey which asked people about their favourite travel destination . Study the diagram and answer the following questions.

${10}^{\xb0}$
A.
10B.
12C.
15D.
8Correct Answer is: D
Q. 45. The piechart shows the results of an online survey which asked people about their favourite travel destination . Study the diagram an danswer the followin gquestions.
A.
25%B.
33.33%C.
30%D.
40%Correct Answer is: D
Q. 46. The length of the diagonal and the bredth of a rectangle are 26 cm and 10 cm respectively. Find its perimeter (in cm).
A.
68B.
136C.
43D.
86Correct Answer is: A
Q. 47.
If the sum of the interior angles of a regular polygon is 1260°, then how many sides does it have?
A.
10°B.
12°C.
15°D.
9°Correct Answer is: D
Q. 48.
find the volume ( in cm³) of a right circular cylinder of diameter 42 cm and height 14 cm.
A.
19404 cm³B.
18018 cm³C.
17321 cm³D.
16729 cm³Correct Answer is: A
Q. 49.
∆ABC is right angled at B. If ∠A = 30° , then find the value of (sinC + $\frac{1}{3}$).
Select the correct answer
A.
$\frac{4}{3}$
B.
$\frac{\sqrt{3}+1}{2}$
C.
$\frac{\sqrt{3}+2}{\sqrt{3}}$
D.
$\frac{3\sqrt{3}+2}{6}$
Correct Answer is: D
Q. 50.
∆DEF is right angled at E. If cosD = $\frac{5}{13}$, then what is the value of tanF?
Select the correct answer
A.
$\frac{5}{13}$
B.
$\frac{5}{12}$
C.
$\frac{13}{5}$
D.
$\frac{13}{12}$
Correct Answer is: B