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51.

A man travels 430 kilometres in, partly by rail and partly by steamer. He spends 10 hours more time on steamer. If the velocity of the steamer is 25km/hr and the velocity of rail is 65 km/hr, how much distance does he cover by steamer?1). 360 km2). 300 km3). 450 km4). 540 km

Answer» OPTION 2 is the ANSWER
52.

sinA/(1 + cos A) is equal to1). (cosecA- cotA)2). (cosecA + cotA)3). √[(cosecA- cotA)]4). √[(cosecA + cotA)]

Answer»

is OPTION 1 is the CORRECT ANSWER?? am i RIGHT?

53.

What is the value of sin -­300°?1). 12). -$\frac{√3}{2}$3). -$\frac{1}{2}$4). $\frac{√3}{2}$

Answer» RIGHT ANSWER for this QUESTION is OPTION 4
54.

If cos3A = X, then value of X?1). $4cos^{3}A$ - 3cosA2). $4cos^{3}A$ + 3cosA3). 3cosA - $4cos^{3}A$4). 3cosA + $4cos^{3}A$

Answer»

$4COS^{3}A$ - 3COSA is the BEST SUITED

55.

An engineering student has to secure 24% marks to pass. He gets 61 and fails by 29 marks. What is the maximum marks for that exam?1). 375 marks2). 400 marks3).425 marks4). 450 marks

Answer» HELLO, 375 MARKS is CORRECT
56.

What is the value of sec $\frac{ 4π}{3}$ ?1). 22). -23). $\frac{2}{√3}$4). $\frac{-2}{√3}$

Answer»

-2 : SEEMS CORRECT

57.

$\frac{(secA -­ tanA)}{(cosecA + cotA)}$ is equal to1). $\frac{(secA -­ cotA)}{(cosecA + tanA)}$2). $\frac{(secA -­ cosA)}{(cosecA + sinA)}$3). $\frac{(cosecA -­ cotA)}{(secA + tanA)}$4). $\frac{(secA +­ cosA)}{(cosecA - sinA)}$

Answer»

it from PREVIOUS year ssc papers, option 3 is the RIGHT ANSWER

58.

If $\frac{cosA}{(1 - sinA)} = x$, then the value of x is1). secA - tanA2). cosecA + tanA3). secA + tanA4). cosecA - tanA

Answer»

This QUESTION was asked some where in PREVIOUS year papers of ssc, and correct ANSWER was secA + TANA

59.

To cover a distance of 216 km in 3.2 hours, what should be the average speed of the car in meters/second?1). 67.5 m/s2). 33.75 m/s3). 37.5 m/s4). 18.75 m/s

Answer»

18.75 m/s is the CORRECT ANSWER as PER the SSC answer KEY

60.

If cosAcotA/(1 sinA)= x, then the value of x is1). 1- cosecA2). 1 + cosecA3). 1 + secA4).1 -secA

Answer» HELLO, 1 + COSECA is CORRECT
61.

What is the simplest form of (1 + cosA)(cosecA ­- cotA)?1). cosA2).tanA3). cotA4).sinA

Answer»

(1 + COSA)(COSECA ­- COTA)

(1 + cosA)(1 ­- cosA) / SIN A

=(1 - cos^2 A) / sin A

= sin^2 A / sin A

= sin A

62.

A missile travels at 1260 km/h. How many metres does it travel in one second?1). 332 metres2). 369 metres3). 384 metres4). 350 metres

Answer» 350 METRES : - OPTION 4
63.

If $\frac{1}{√(cosec²A - 1)}$ = x, then value of x is 1). cotA2). tanA3). sinA4). cosA

Answer» OPTION 2 : SEEMS CORRECT
64.

Two cars travel from city A to city B at a speed of 36 and 48 km/hr respectively. If one car takes 3 hours lesser time than the other car for the journey, thenthe distance between City A and City B is1). 518 km2). 432 km3). 648 km4). 346 km

Answer»

I THINK OPTION 2 is the RIGHT ANSWER

65.

Two cars travel from city A to city B at a speed of 42 and 60 km/hr respectively. If one car takes 2 hours lesser time than the other car for the journey, thenthe distance between City A and City B is:1). 336 km2). 280 km3). 420 km4). 224 km

Answer» OPTION 2 is the correct ANSWER as per the answer KEY
66.

What is the value of sin ­$\frac{-7π}{4}$?1). $\frac{-1}{√2}$2). $\frac{2}{√3}$3). $\frac{1}{√2}$4). $\frac{-2}{√3}$

Answer» RIGHT ANSWER is $\FRAC{1}{√2}$
67.

If $\frac{secA}{(secA ­- 1)} + \frac{secA}{(secA + 1)} = x$, then x is1). $2cosec^{2}A$2). $2sec^{2}A$3).2cosecA4).2secA

Answer»

$2cosec^{2}A$ : - OPTION 1

68.

A missile travels at 1116 km/h. How many metres does it travel in one second?1). 360 metres2). 368 metres3). 310 metres4). 348 metres

Answer» CORRECT ANSWER is: 310 METRES
69.

What is the value of tan 7π/4?1). √32). 1/23).√3/24). -1

Answer»

-1 : - OPTION 4

70.

Two cars travel from city A to city B at a speed of 36 and 54 km/hr respectively. If one car takes 3.5 hours lesser time than the other car for the journey,then the distance between City A and City B is1). 454 km2). 567 km3). 302 km4). 378 km

Answer» OPTION 4 : SEEMS CORRECT
71.

If 1 + secA = x, then the value of x is1). $\frac{sinAtanA}{(1 + cosA)}$2). √[$\frac{sinAtanA}{(1 - cosA)}$]3). $\frac{sinAtanA}{(1 - cosA)}$4). √[$\frac{sinAtanA}{(1 + cosA)}$]

Answer» OPTION 2 : √[$\FRAC{sinAtanA}{(1 - COSA)}$] is CORRECT
72.

What is the value of cosec $\frac{3π}{4}$?1). -√22). √23). $\frac{2}{√3}$4). -$\frac{2}{√3}$

Answer» OPTION 2 : √2 is CORRECT
73.

If cosec 135° = x, then the value of x is1). √22). 23). -√24). 1/√3

Answer»

√2 : SEEMS CORRECT

74.

In a rectangle _____.1).Consecutive angles are congruent as well as supplementary2).Diagonals are perpendicular to each other3).Diagonals bisect opposite angles4).Diagonals are not equal

Answer» OPTION 1 is the RIGHT ONE
75.

Two numbers are 50% and 80% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the firstnumber?1). 150percent2). 60percent3). 30percent4). 37.5percent

Answer» ANSWER for this QUESTION is OPTION 1
76.

If $\frac{(1 + cosA)}{(1 - cosA)}$ = x, then x is1).$\frac{cot^{2}A}{(secA - 1)^{2}}$2).$\frac{cot^{2}A}{(secA + 1)^{2}}$3).$\frac{tan^{2}A}{(secA + 1)^{2}}$4).$\frac{tan^{2}A}{(secA - 1)^{2}}$

Answer»

option 4 :$\FRAC{TAN^{2}A}{(secA - 1)^{2}}$ is correct

77.

If cotA + cotB = x, then value of x is1). $\frac{(cotAcotB +1)}{(cotB - cotA)}$2). $\frac{(cotAcotB +1)}{(cotB + cotA)}$3). $\frac{(cotAcotB-1)}{(cotB + cotA)}$4). $\frac{(cotAcotB -1)}{(cotB - cotA)}$

Answer» OPTION 3 is the RIGHT ANSWER
78.

If tan$\frac{A}{2}$ = x, then the value of x is1). $\frac{sinA}{(1 - cosA)}$2). $\frac{sinA}{(1 + cosA)}$3).√[$\frac{sinA}{(1 + cosA)}$]4).√[$\frac{sinA}{(1 - cosA)}$]

Answer» RIGHT ANSWER for this QUESTION is OPTION 3
79.

If cos 45° ­- sec 30° = x, then value of x is1). $\frac{1+\sqrt{2}}{2}$2). $\frac{(2\sqrt{2}-\sqrt{3})}{2}$3). $\frac{\sqrt{3}-2\sqrt{2}}{\sqrt{6}}$4). $\frac{4}{\sqrt{3}}$

Answer»

Right ANSWER for this question is $\frac{\sqrt{3}-2\sqrt{2}}{\sqrt{6}}$

80.

If tanA + tanB = X, then the value of X is1). $\frac{(tanA - tanB)}{(1 + tanAtanB)}$2). $\frac{(tanA + tanB)}{(1 - tanAtanB)}$3). $\frac{(tanA + tanB)}{(1 + tanAtanB)}$4). $\frac{(tanA - tanB)}{(1 - tanAtanB)}$

Answer» CORRECT ANSWER is: OPTION 2
81.

What is the value of sin $\frac{5π}{3}$?1). $\frac{√3}{2}$2). $\frac{2}{√3}$3). $\frac{1}{√3}$4). $\frac{-2}{√3}$

Answer»

$\FRAC{√3}{2}$ is the CORRECT answer as PER the SSC answer key

82.

If $cos\frac{2π}{3c} = x$, then the value of x is1). -$\frac{1}{2}$2). $\frac{1}{2}$3).$\frac{√3}{2}$4). - $\frac{√3}{2}$

Answer»

-$\FRAC{1}{2}$ SEEMS CORRECT.

83.

If cosec$\frac{-4π}{3}$ = x, then the value of x is1). √22). $\frac{2}{√3}$3).-­√24). $\frac{-1}{√3}$

Answer»

it from previous year ssc PAPERS, OPTION 2 is the right ANSWER

84.

At least two pairs of consecutive angles are congruent in a _____.1). Parallelogram2). Isosceles trapezium3). Rhombus4). kite

Answer» ISOSCELES TRAPEZIUM : SEEMS CORRECT
85.

The mean of marks secured by 45 students in division A of class X is 69, 65 students of division B is 65 and that of 50 students of division C is 63. Findthe mean of marks of the students of three divisions of Class X.1). 65.52).64.83). 64.14).66.9

Answer»

I THINK OPTION 1 is the RIGHT ANSWER

86.

$\frac{1}{secA+tanA}$ is equal to1). cosecA - cotA2). sinA - cosA3). secA - tanA4). sinA + cosA

Answer» SECA - TANA
87.

The cross section of a canal is in the shape of an isosceles trapezium which is 4 m wide at the bottom and 5 m wide at the top. If the depth of the canalis 2 m and it is 120 m long, what is the maximum capacity of this canal?1).2160 cubic mts2).3240 cubic mts3). 4320 cubic mts4). 1080 cubic mts

Answer»

Its TOUGH but OPTION 4 SEEMS CORRECT

88.

The mean of marks secured by 60 students in division A of class X is 64, 40 students of division B is 60 and that of 60 students of division C is 58. Find themean of marks of the students of three divisions of Class X.1). 60.052). 59.353). 62.154). 60.75

Answer»

I THINK 60.75 is RIGHT

89.

$ tan\frac{A}{2}$is equal to1). $\frac{tanA}{1+ secA}$2). $\frac{1}{cosecA + cotA}$3). $\frac{tanA}{1+ cosecA}$4). $\frac{1}{secA+ cotA}$

Answer»

it from previous year ssc papers, OPTION 1 is the right ANSWER

90.

A factory buys 7 machines. 2 Machine-­A, 4 Machine-­B and rest Machine-­C. Prices of the machines are Rs 56000, Rs 45000 and Rs 30000 respectively.Calculate the average cost of these machines.1). 460002). 43666.663). 41333.334).44500

Answer»

46000 : - is CORRECT HENCE OPTION 1

91.

A rectangular swimming pool of length 30 m and breadth 15 m has a uniformly sloping floor. It is 1 m in depth on one end of its length and 2 m at the other.How much water is needed to completely fill this pool?1). 1350 cubic mts2). 2025 cubic mts3). 675 cubic mts4). 2700 cubic mts

Answer»

is OPTION 3 is the CORRECT ANSWER?? am i RIGHT?

92.

By increasing the price of entry ticket to a fair in the ratio 9:13, the number of visitors to the fair has decreased in the ratio 7:4. In what ratio has the totalcollection increased or decreased?1). increased in the ratio 52:632). increased in the ratio 36:913).decreased in the ratio 63:524). decreased in the ratio 91:36

Answer» HELLO,DECREASED in the RATIO 63:52 is CORRECT
93.

If $cosec^{4}A -­ cosec^{2}A$ = x, then value of x is?1). $tan^{4}A+ tan^{2}A$2). $cot^{4}A + cot^{2}A$3). $cot^{4}A - cot^{2}A$4). $tan^{4}A - tan^{2}A$

Answer» CORRECT ANSWER is: $COT^{4}A + cot^{2}A$
94.

A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 4 days. How long B alone would take to do the wholework?1). 12.5 days2). 100 days3). 22.5 days4). 35 days

Answer» HELLO, 100 DAYS is CORRECT
95.

Painter A can paint a house in 40 days and Painter B can do it in 60 days. With help of C, they did the job in 20 days only. Then, C alone can do the job in1). 120 days2). 20 days3).225 days4). 15 days

Answer»

i THINK OPTION 1 is CORRECT

96.

Pannalal has done $\frac{1}{3}$rd of a job in 20 days, Saiprasad completes the rest of the job in 10 days. In how many days can they together do the job?1). 12 days2). 6 days3). 3 days4). 24 days

Answer»

I THINK OPTION 1 is the RIGHT ANSWER

97.

Abhinav is 2 times as good a workman as Balwant and therefore is able to finish a job in 36 days less than Balwant. Working together, they can do it in1). 12 days2). 6 days3).18 days4). 24 days

Answer» OPTION 4 is the ANSWER
98.

P and Q can do a project in 20 and 12 days respectively. In how many days can they complete 40% of the project if they work together?1). 1.5 days2).3 days3). 6 days4).9 days

Answer» OPTION 2 is the ANSWER
99.

Prabhat has done$\frac{1}{2}$ of a job in 12 days. Santosh completes the rest of the job in 6 days. In how many days can they together do the job?1). 12 days2). 4 days3). 8 days4). 16 days

Answer» OPTION option 3 is the CORRECT ANSWER
100.

Mandar works 3 times as fast as Samarth. If Samarth can complete a job alone in 28 days, then in how many days can they together finish the job?1).4 days2). 5 days3). 8 days4). 7 days

Answer»

I am not SURE, MAY be 7 DAYS is CORRECT