SSC CHSL
Q. 1.
Length and breadth of rectangular field are in the ratio 5 : 2. If the perimeter of the field is 238 m. Find the length of the field.
A.
84 m
B.
85 m
C.
82 m
D.
83 m
Correct Answer is: B
Q. 2.
A man divided his journey into three parts of distances of 18 km, 20 km, and 27 km. He traveled the distances at speeds of 6 km/h, 5 km/h, and 9 kn/h, respectively. What was his average speed during the entire journey?
A.
6.5 km/h
B.
4.5 km/h
C.
7.5 km/h
D.
5.5 km/h
Correct Answer is: A
Q. 3.
The given graph represents the percentage distribution of the total expenditure of a company. Study the graph and answer the question that follows.
A.
16 : 13
B.
15 : 13
C.
17 : 13
D.
14 : 13
Correct Answer is: C
Q. 4. In the given figure, O is the centre of the circle. Its two chords AB and CD intersect each other at the point P within the circle. If AB = 15 cm, PB = 9 cm, CP = 3 cm, then find the length of PD.
A.
20 cmB.
22 cmC.
16 cmD.
18 cmCorrect Answer is: D
Q. 5. On selling a bike for ₹2500 a seller incurs a loss of 20%. What price would have caused him to lose 30%?
A.
₹2186.5B.
₹2187.5C.
₹2188.5D.
₹2185.5Correct Answer is: B
Q. 6.
If a − b = 4 and a³ − b³ = 88, then find the value of a² − b².
Select the correct answer
A.
7 $\sqrt{6}$
B.
9 $\sqrt{6}$
C.
6 $\sqrt{6}$
D.
8 $\sqrt{6}$
Correct Answer is: D
Q. 7. If x + y + z = 10, x³ + y³ + z³ = 75 and xyz = 15, then find the value of x² + y² + z² xy  yz  zx.
A.
3B.
5C.
6D.
4Correct Answer is: A
Q. 8. Mohan offers to sell his articles at a discount of 20%, but he marks his articles by increasing the price of each by 35%. What percentage would his gain be?
A.
9%B.
7%C.
8%D.
10%Correct Answer is: C
Q. 9.
Read the following question carefully and answer it.
Select the correct answer
A.
$\frac{\sqrt{3}}{2}$
B.
1
C.
$\frac{1}{2}$
D.
$\frac{1}{\sqrt{2}}$
Correct Answer is: B
Q. 10.
If 3 sec² x − 4 = 0, then the value of x (0° < x < 90°).
A.
15°
B.
45°
C.
30°
D.
60°
Correct Answer is: C
Q. 11. Find the value of 2.1 + 2.25 ÷ [63 − 7.5 × 8 + (13 − 2.5)].
A.
3.0 ,B.
2.9C.
3.1D.
2.8Correct Answer is: A
Q. 12. The given graph represents the percentage distribution of the total expenditure of a company. Study the graph and answer the question that follows.
A.
5%B.
2%C.
4%D.
3%Correct Answer is: A
Q. 13.
A runner is running at a speed of 40 km/h. If he runs at a speed of 30 km/h, then what will the decrease in the percentage of his speed be?
Select the correct answer
A.
30%
B.
25%
C.
20%
D.
15%
Correct Answer is: B
Q. 14. In the figure, L is the centre of the circle, and ML is the perpendicular to LN. If the area of the triangle MLN is 36, then the area of the circle is:
A.
68π cm²B.
70π cm²C.
66π cm²D.
72π cm²Correct Answer is: D
Q. 15.
If 4cos²θ − 3sin²θ + 2 = 0, then the value of tanθ is (where 0° < θ < 90°)
A.
1
B.
$\sqrt{6}$
C.
$\sqrt{2}$
D.
$\frac{1}{\sqrt{3}}$
Correct Answer is: B
Q. 16.
In how many years will the simple interest on a sum of money be equal to the principal at a rate of $12\frac{2}{4}$% p.a.?
A.
7 yr
B.
8 yr
C.
6 yr
D.
5 yr
Correct Answer is: B
Q. 17. ₹3, 600 is divided between Seema, Komal and Rita, such that the ratios of the shares of Seema : Komal = 1.5 : 2 and Komal : Rita = 2 : 2.5. Find Rita's share.
A.
₹1, 400B.
₹1, 200C.
₹1, 300D.
₹1, 500Correct Answer is: D
Q. 18. The average of the runs of a cricket player in 20 matches is 35. If the average of the first 12 matches is 45, find the average of the last 8 matches.
A.
20B.
16C.
22D.
18Correct Answer is: A
Q. 19. When (77⁷⁷ + 77) is divided by 78, the remainder is:
A.
74B.
77C.
75D.
76Correct Answer is: D
Q. 20. The following graph shows the performance in aggregate marks of 2 board examinations of a group of friends. On the basis of the graph, identify the girl who has shown the maximum improvement from class X to class XII.
A.
VeenaB.
AlkaC.
MeenaD.
MadhuCorrect Answer is: B
Q. 21. 30 men working 8 hours per day can dig a pond in 16 days. By working how many hours per day can 32 men dig two same ponds, in 20 days?
A.
6 hours per dayB.
7 hours per dayC.
5 hours per dayD.
8 hours per dayCorrect Answer is: A
Q. 22. If a + b = 11 and ab = 15 and a² + b² is equal to
A.
91B.
92C.
93D.
90Correct Answer is: A
Q. 23. XYZ is a triangle. If the medians ZL and YM intersect each other at G, then (Area of △ GLM: Area of △ XYZ) is:
A.
1 : 12B.
1 : 14C.
1 : 11D.
1 : 10Correct Answer is: A
Q. 24. PQR is an isosceles triangle such that PQ = QR = 10 cm and △PQR = 90°. What is the length of the perpendicular drawn from Q on PR?
A.
6√2B.
7√2C.
5√2D.
4√2Correct Answer is: C
Q. 25. The given graph represents the percentage distribution of the total expenditure of a company. Study the graph and answer the question that follows.
A.
5.75B.
8.75C.
7.75D.
6.75Correct Answer is: A
Q. 26. Sohan sold a plot for ₹255000 at a 15% loss. At what price should he sell the plot to gain a 10% profit?
A.
₹333000B.
₹330000C.
₹333300D.
₹300000Correct Answer is: B
Q. 27. The difference between two numbers is 43 and their product is 50. Find the sum of their squares.
A.
1947B.
1946C.
1948D.
1949Correct Answer is: D
Q. 28. Two sides of a triangle are of length 3 cm and 8 cm. if the length of the third side is 'x' cm, then
A.
5 < xB.
5 < x < 11C.
0 < x < 11D.
x > 11Correct Answer is: B
Q. 29. A dealer marks his goods at 30% above the cost price. Then, he allows 35% discount on it. What will be his loss percentage?
A.
16.50%B.
17.50%C.
18.50%D.
15.50%Correct Answer is: D
Q. 30.
Which of the following numbers will completely divide the following question
${7}^{81}+{7}^{82}+{7}^{83}=?$
Select the correct answer
A.
399
B.
389
C.
387
D.
397
Correct Answer is: A
Q. 31. The difference of simple interest on a sum of money for 8 yr and 10 yr is ₹200. If the rate of intrest 10% p.a., then what is the sum of money?
A.
₹1000B.
₹1400C.
₹1600D.
₹1200Correct Answer is: A
Q. 32.
If M is the midpoint of the side BC of ∆ABC, and the area of ∆ABM is 18 cm², then the area of ∆ABC is.
A.
30 cm²
B.
34 cm²
C.
36 cm²
D.
32 cm²
Correct Answer is: C
Q. 33. If a³ + b³ = 20 and a + b = 5, then find the value of a⁴ + b⁴.
A.
25B.
26C.
24D.
23Correct Answer is: D
Q. 34.
Read the following question carefully and answer it.

Find the value of $\frac{\mathrm{cos}30\xb0\mathrm{sin}30\xb0}{\mathrm{cos}60\xb0+\mathrm{sin}60\xb0}$
Select the correct answer
A.
2 + $\sqrt{3}$
B.
2  $\sqrt{3}$
C.
1 + $\sqrt{3}\phantom{\rule{0ex}{0ex}}$
D.
1 $\sqrt{3}$
Correct Answer is: B
Q. 35.
The given bar graph represents the percentage of nonelectrified villages in 6 states A, B, C, D, E, and F. Study the graph and answer the question that follows.
A.
3
B.
4
C.
1
D.
2
Correct Answer is: A
Q. 36.
The following bar graph shows the number of deaths from road accidents that occurred during the rainy season in the year 1992. Study the graph carefully and answer the question.
A.
7 July to 14 July
B.
28 July to 4 August
C.
30 June to 7 July
D.
21 July to 28 July
Correct Answer is: A
Q. 37. How much should be added to each term of 4 : 7 so that it becomes 2 : 3 ?
A.
3B.
4C.
2D.
1Correct Answer is: C
Q. 38. X and Y together can finish a piece of work in 15 days, while Y alone can finish it in 40 days. X alone can finish the work in
A.
24 daysB.
26 daysC.
25 daysD.
23 daysCorrect Answer is: A
Q. 39. If x + y = 4, xy = 2, y + z = 5, yz = 3, z + x = 6 and zx = 4, then find the value of x³ + y³ + z³  3xy.
A.
150.75B.
152.75C.
151.75D.
153.75Correct Answer is: D
Q. 40.
A man walks from point X to Y at a speed of 20 km/h but comes back from point Y to X at a speed of 25 km/h. Find his average speed.
A.
$22\frac{2}{9}$ km/h
B.
$23\frac{2}{9}$ km/h
C.
$25\frac{2}{9}$ km/h
D.
$24\frac{2}{9}$km/h
Correct Answer is: A
Q. 41.
If sec²x  3sec x + 2 = 0, then the value of x (0° < x < 90°) is
A.
45°
B.
15°
C.
60°
D.
30°
Correct Answer is: C
Q. 42.
Study the following graph and answer the question.
A.
2005
B.
2007
C.
2009
D.
2006
Correct Answer is: A
Q. 43. The perimeter of a rectangle is 50 cm. Its area and length are in the ratio of 5 : 1. Find the length of the rectangle.
A.
15 cmB.
20 cmC.
18 cmD.
22 cmCorrect Answer is: B
Q. 44.
Sachin's income is 25% more than Dilip's income. By how much percentage is Dilip's income less than Sachin's income?
A.
15%
B.
20%
C.
18%
D.
22%
Correct Answer is: B
Q. 45. Read the following question carefully and answer it.
A.
2B.
4C.
3D.
1Correct Answer is: D
Q. 46. The following bar graph shows the number of deaths from road accidents occurred during the rainy season in the year 1992. Study the graph carefully and answer the question.
A.
1 July to 28 JulyB.
14 July to 21 JulyC.
4 August to 11 AugustD.
30 June to 7 JulyCorrect Answer is: D
Q. 47.
A 5cm long perpendicular is drawn from the center of a circle to a 24cm long chord. Find the diameter of the circle.
A.
31 cm
B.
13 cm
C.
30 cm
D.
26 cm
Correct Answer is: D
Q. 48.
In the given figure, chords AB and CD intersect each other at point E. Find the length of AB.
A.
22.5 cm
B.
21.5cm
C.
24.5 cm
D.
23.5 cm
Correct Answer is: B
Q. 49. A batsman in his 11th inning makes a score of 77 runs, thereby increasing his average scores by 3. What is his average score after the 11th inning?
A.
46B.
49C.
47D.
48Correct Answer is: C
Q. 50. If cosesθ + cotθ = 2, then sinθ is
A.
3/5B.
2/5C.
3/4D.
4/5Correct Answer is: D
Q. 51.
Read the following question carefully and answer it.
if x = 1+$\sqrt{2}$, then find the value of $\sqrt{x}+\frac{1}{\sqrt{x}}$
Select the correct answer
A.
2.1014
B.
2.1973
C.
1.9876
D.
1.9996
Correct Answer is: B
Q. 52. The length and breedth of a rectangle are in the ratio 3 : 2. If its perimeter is 730 cm, what is the area of the rectangle?
A.
31974 cm²B.
24452 cm²C.
20567 cm²D.
28976 cm²Correct Answer is: A
Q. 53.
The ratio of tables and chairs in a room is 7 : 9. If there are 560 tables and chairs in the room, then what is the number of chairs?
A.
367
B.
315
C.
463
D.
489
Correct Answer is: B
Q. 54. Ram deposited an amount of ₹8000 in a bank's savings account with interest 6.5% compounded monthly. What amount will he get at the end of 18 months?
A.
₹8816.97B.
₹8788.98C.
₹8790.54D.
₹8907.56Correct Answer is: A
Q. 55. The given chart shows the number of students in Class 4, Class 5, Class 6 and Class 7 who got first class, second class and failed in the final examinations.
A.
94.66%B.
91.23%C.
95%D.
90.45%Correct Answer is: C
Q. 56. Find onefifth of threeeight of onethird of 11760.
A.
598B.
294C.
645D.
467Correct Answer is: B
Q. 57. The difference between a number and onethird of that number is 228. What is 20% of that number?
A.
68.4B.
58.9C.
61.8D.
72.5Correct Answer is: A
Q. 58. Smith and Ajit can complete a task in 12 days and 18 days, respectively. If they work together on the task for 4 days, then the fraction of the task that will be left is
A.
5/9B.
2/9C.
1/9D.
4/9Correct Answer is: D
Q. 59. The given chart shows the number of students in Class 4, Class 5, Class 6 and Class 7 who got first class, second class and failed in the final examinations.
A.
Class 4B.
Class 5C.
Class 6D.
Class 7Correct Answer is: A
Q. 60.
Find x if 2sin² x  1 = 0.
Select the correct answer
A.
$\frac{\pi}{4}$
B.
$\frac{\pi}{2}$
C.
0
D.
$\pi $
Correct Answer is: A
Q. 61.
A product, whose MRP is ₹978, is sold for ₹925 by a wholesale shop owner. What is the percentage of discount given by him?
A.
6.50%
B.
9.20%
C.
5.40%
D.
7.80%
Correct Answer is: C
Q. 62. The given chart shows the number of students in Class 4, Class 5, Class 6 and Class 7 who got first class, second class and failed in the final examinations.
A.
Class 4B.
Class 6C.
Class 7D.
class 5Correct Answer is: C
Q. 63. Which of the following numbers is divisible by 9?
A.
897342B.
594327C.
346217D.
734895Correct Answer is: D
Q. 64.
What is the equation of a circle with a centre of origin and radius is 6 cm?
A.
x² + y²  x  y = 36
B.
x² + y²  x = 36
C.
x² + y²  y = 36
D.
x² + y²  36 = 0
Correct Answer is: D
Q. 65. The sum of two numbers is 59 and their product is 840. Find the sum of their squares.
A.
2961B.
1754C.
1801D.
1875Correct Answer is: C
Q. 66. Two cars start from the same place at the same time at right angles, to each other. Their speed are 54 km/h and 72 km/h, respectively. After 20 sec the distance between them will be.
A.
480 mB.
540 mC.
720 mD.
500 mCorrect Answer is: D
Q. 67.
The average age of 16 students in a college is 20. Out of them, the average age of 5 students is 20 and the average age of the other 10 students is 20.4. Find the age of the 16th college student.
A.
24
B.
16
C.
20
D.
22
Correct Answer is: B
Q. 68. The given chart shows the number of students in Class 4, Class 5, Class 6 and Class 7 who got first class, second class and failed in the final examinations.
A.
87.83%B.
90.12%C.
86.66%D.
89.96%Correct Answer is: C
Q. 69.
If cotθ = $\frac{80}{39}$, find the value fo cosecθ.
Select the correct answer
A.
$\frac{39}{80}$
B.
$\frac{89}{39}$
C.
$\frac{39}{89}$
D.
$\frac{89}{80}$
Correct Answer is: B
Q. 70. A chord of length 24 cm is at a distance of 5 cm from the centre of a circle. What is its area?
A.
120 cm²B.
48067 cm²C.
531.14 cm²D.
38928 cm²Correct Answer is: D
Q. 71. If the height of an equilateral triangle is 12 cm, then what is the area of the triangle?
A.
89.567 cm²B.
96.897 cm²C.
67.9843 cm²D.
83.1384 cm²Correct Answer is: D
Q. 72. If the difference between two numbers is 6 and the difference between their squares is 60, what is the sum of their cubes?
A.
678B.
945C.
894D.
520Correct Answer is: D
Q. 73. What is the area of a trangle whose sides measures 5 cm, 6 cm and 7 cm?
A.
10.9797 cm²B.
12.8484 cm²C.
16.4545 cm²D.
14.6969 cm²Correct Answer is: D
Q. 74.
If sinθ =$\frac{4}{5}$, find the value of sin3θ.
Select the correct answer
A.
$\frac{32}{45}$
B.
$\frac{44}{125}$
C.
$\frac{64}{125}$
D.
$\frac{12}{125}$
Correct Answer is: B
Q. 75. By selling an article for ₹600, a shopkeeper makes a profit of 20%. At what price should he sell the article to incur a loss of 20%?
A.
₹600B.
₹400C.
₹300D.
₹500Correct Answer is: B
Q. 76.
The given bar graph represents the production and sales of a certain crop in quintals by the Farmers F1, F2, F3, and F4.
A.
$21\frac{7}{33}$ %
B.
$23\frac{7}{33}$ %
C.
$22\frac{7}{33}$ %
D.
$24\frac{7}{33}$ %
Correct Answer is: A
Q. 77.
If a = 2b, then the value of $\frac{a+b}{ab}$ is
Select the correct answer
A.
5
B.
4
C.
3
D.
6
Correct Answer is: C
Q. 78. Ravi, Mohan and Govind can complete a task in 12 days, 10 days and 15 days, respectively. In how many days can Ravi, Mohan and Govind together complete the same task?
A.
8 daysB.
4 daysC.
2 daysD.
6 daysCorrect Answer is: B
Q. 79. The given bar graph reprents the production and sales of a certain crop in quintals by the Farmers F1, F2, F3 and F4.
A.
F3B.
F1C.
F2D.
F4Correct Answer is: D
Q. 80. Which of the following numbers is divisible by both 7 and 11?
A.
16324B.
12235C.
16257D.
16452Correct Answer is: A
Q. 81.
The marked price of a book is ₹900. What is the selling price of the book after giving two successive discounts each of 10% on it?
A.
₹800
B.
₹749
C.
₹729
D.
₹820
Correct Answer is: C
Q. 82.
The radius of a circular cone is R and its height is H. The volume of cone is
Select the correct answer
A.
$\frac{2}{3\pi {R}^{2}H}$
B.
$\frac{\pi {R}^{2}H}{3}$
C.
$\pi {R}^{2}H$
D.
$\pi R{H}^{2}$
Correct Answer is: B
Q. 83.
In a ∆ABC, DE is parallel to BC, AD = 3 cm, AE = 4 cm and AC = 10 cm, then the value of BD (in cm) is
A.
3.5 cm
B.
7.5 cm
C.
4.5 cm
D.
5.5 cm
Correct Answer is: C
Q. 84. In a certain time, a sum of money becomes five times itself, if the rate of the interest is 16% p.a. Then the certain time (in yr) is
A.
32B.
38C.
25D.
30Correct Answer is: C
Q. 85. The average of the ages of a group of 65 men is 32 yr. If 5 men join the group, the average of the ages of 70 men is 34 yr. Then the average of the ages of those 5 men joined later (in yr) is
A.
50B.
55C.
65D.
60Correct Answer is: D
Q. 86.
Read the following question carefully and answer it.
Select the correct answer
A.
$\frac{1}{\sqrt{3}}$
B.
$\sqrt{3}$
C.
2
D.
$\frac{1}{4}$
Correct Answer is: D
Q. 87.
Read the following question carefully and answer it.
Select the correct answer
A.
$\frac{61}{35}$
B.
$\frac{61}{60}$
C.
$\frac{35}{61}$
D.
$\frac{60}{61}$
Correct Answer is: B
Q. 88. A motorboat goes 24 km in 2 h along the stream and 10 km in 1 h against the stream. The speed of the motorboat (in km/h) is
A.
14B.
10C.
11D.
12Correct Answer is: C
Q. 89. Ravi sells a chair to Mohan at a profit 10% and Mohan sells it to Govind at profit 20%. If Govind pays ₹1320 for it. Then, the cost price for Ravi is
A.
₹980B.
₹1000C.
₹900D.
₹800Correct Answer is: B
Q. 90.
The value of 18% of 15% of $\frac{25}{9}$ of 3800 is.
Select the correct answer
A.
285
B.
582
C.
583
D.
385
Correct Answer is: A
Q. 91. The given bar graph represents the production and sales of a certain crop in quintals by the Farmers F1, F2, F3, F4.
A.
4 : 5B.
5 : 6C.
3 : 4D.
6 : 7Correct Answer is: A
Q. 92. The length of tangents drawn from an external point to the circle are
A.
not equalB.
perpendicularC.
parallelD.
equalCorrect Answer is: D
Q. 93. If x : y = 3 : 2 and x + y = 90, then the value (x  y ) is
A.
12B.
18C.
16D.
14Correct Answer is: B
Q. 94.
If sin x = $\frac{3}{5}$, 0° $\le $ x $\le $ 90°, then the value of cotx, secx is.
Select the correct answer
A.
$\frac{3}{5}$
B.
$\frac{5}{3}$
C.
$\frac{4}{5}$
D.
$\frac{3}{4}$
Correct Answer is: B
Q. 95. If ∆ABC is a right angled triangle with angle ABC = 90°, and AC = 10 cm, BC = 8 cm, then the length of AB is
A.
12 cmB.
2 cmC.
18 cmD.
6 cmCorrect Answer is: D
Q. 96. The value of [(a²  b²)³ + (b²  c²)³ + (c²  a²)³] ÷ [(a  b)³ + (b  c)³ + (c  a)³] is equal to (Given a ≠ b ≠ c)
A.
(a + b) (b + c) (c + a)B.
(a²  b²) (b²  c²) (c²  a²)C.
(a² + b²) (b² + c²) (c² + a²)D.
(a  b) (b  c) (c  a)Correct Answer is: A
Q. 97. The given bar graph represents the production and sales of a certain crop in quintals by the Farmers F1, F2, F3, F4.
A.
470B.
490C.
510D.
530Correct Answer is: B
Q. 98. If kx³ + 4x² + 3x  4 and x³  4x + k leave the same remainder when divided by (x3), then the value of k is
A.
2B.
1C.
1D.
0Correct Answer is: B
Q. 99. The value of 8  [8(5 + 8)  {8  (8  (8  5 + 8)} + 10] is
A.
5B.
20C.
0D.
10Correct Answer is: C
Q. 100. A pair of tangents AB and AC are drawn from a point which is at a distance of 10 cm from the centre O of a circle of radius 6 cm, then the area (in cm²) of quadrilateral ABOC is
A.
52B.
72C.
60D.
48Correct Answer is: C
Q. 101.
Find the value of given question
$\frac{{\mathrm{cos}}^{2}30\xb0{\mathrm{sin}}^{2}30\xb0}{{\mathrm{sin}}^{2}15\xb0+{\mathrm{cos}}^{2}15\xb0}$
Select the correct answer
A.
$\frac{1}{2}$
B.
1
C.
1$\sqrt{3}$
D.
0
Correct Answer is: A
Q. 102.
Rita's income is 15% less than Richa's income. By what percent in Richa's income more than Rita's income?
Select the correct answer
A.
$15\frac{11}{17}$%
B.
$17\frac{11}{17}$%
C.
$16\frac{11}{17}$%
D.
$14\frac{11}{17}$%
Correct Answer is: B
Q. 103.
if secθ  tanθ = 3, then cosθ is equal to
Select the correct answer
A.
$\frac{3}{7}$
B.
$\frac{2}{5}$
C.
$\frac{3}{5}$
D.
$\frac{4}{9}$
Correct Answer is: C
Q. 104.
Observe the following bar graph carefully and answer the following questions.
A.
70%
B.
65%
C.
75%
D.
60%
Correct Answer is: D
Q. 105. In the figure, 'G' is the centre of the circle, Find the ∠ACB when ∠AGB = 150°
A.
50°B.
60°C.
65°D.
75°Correct Answer is: D
Q. 106.
The ratio of the areas of two squares is 16 : 1. Find the ratio between their perimeters.
A.
8 : 1
B.
3 : 1
C.
4 : 1
D.
12 : 1
Correct Answer is: C
Q. 107. Read the following question carefully and answer it.
A.
222B.
221C.
223D.
244Correct Answer is: B
Q. 108. In the given bar graph the white bar shows the income and the black company. Study the grah and answer the qrestion that follows.
A.
2002B.
2003C.
2000D.
2004Correct Answer is: D
Q. 109. If 2a + 3b = 8 and ab = 5, then find the value of 4a² + 9b².
A.
2B.
4C.
8D.
6Correct Answer is: B
Q. 110.
In the given bar graph the white bar shows the income and the black bar shows the expenditure of a company. Study the graph and answer the question that follows.
The income in 2000 was how much percent more than that of expenditure?
A.
$33\frac{1}{3}$%
B.
$35\frac{1}{3}$%
C.
$36\frac{1}{3}$%
D.
$34\frac{1}{3}$%
Correct Answer is: A
Q. 111. A man sold his furniture at a 25% gain. Had he sold it at 15% loss, he would have received ₹800 less. Find the cost price of the furniture.
A.
₹2500B.
₹1500C.
₹2000D.
₹3000Correct Answer is: C
Q. 112. The fourth proportional to 10, 12, 15 is
A.
24B.
22C.
18D.
20Correct Answer is: C
Q. 113. Which of the following numbers is divisible by 3?
A.
8703572B.
8703541C.
8703593D.
8765001Correct Answer is: D
Q. 114.
If tan²x  sec²x + 3 = 0, then the value of x (0° $\le $ x $\le $ 90°) is.
A.
60°
B.
0°
C.
30°
D.
45°
Correct Answer is: B
Q. 115. If x + y = 15 and xy = 14, then the value of x  y is
A.
11B.
12C.
14D.
13Correct Answer is: D
Q. 116. Given that the mean of five numbers is 28. If one of them is excluded , the mean gets reduced by 5. Determine the excluded number.
A.
46B.
48C.
47D.
45Correct Answer is: B
Q. 117.
A blanket is sold for ₹680 at the discounts of 15% and 20%. Find the printed price of the blanket.
A.
₹800
B.
₹950
C.
₹900
D.
₹1000
Correct Answer is: D
Q. 118. The area of the largest triangle that can be inscribed in a semicircle of radius 4 cm (in cm²)
A.
16 cm²B.
14 cm²C.
12 cm²D.
18 cm²Correct Answer is: A
Q. 119. In ∆XYZ, if G is the centroid and XL is the medians with length 18 cm, then the length of XG is
A.
14 cmB.
16 cmC.
12 cmD.
10 cmCorrect Answer is: C
Q. 120. Rakesh walking at the speed of 8 km/h crosses a bridge in 30 min. What is the length of the bridge (in km)?
A.
4 kmB.
2 kmC.
3 kmD.
5 kmCorrect Answer is: A
Q. 121. In how many years will a sum of ₹5000 yield a simple interest of ₹2000 at an interest rate of 10% p.a?
A.
5 yrB.
3 yrC.
4 yrD.
6 yrCorrect Answer is: C
Q. 122. In the given figure XYZ is a secant and ZT is a tangent. What is the value of x?
A.
9B.
5C.
8D.
7Correct Answer is: B
Q. 123. How many men will be required to plough 50 acres of land in 10 days. If 15 men required 6 days to plough 10 acres of land?
A.
45B.
40C.
55D.
50Correct Answer is: A
Q. 124.
In the given bar graph , the white bar shows the income and the black bar shows th expenditure of company (in ₹ lakhs). Study the graph and answer the question that follows.
Select the correct answer
A.
18%
B.
$24\frac{1}{3}$%
C.
$16\frac{2}{3}$ %
D.
22%
Correct Answer is: C
Q. 125. If a = 355, b = 356, c = 357, then find the value of a³ + b³ + c³  3abc
A.
3208B.
3202C.
3206D.
3204Correct Answer is: D