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351         A vertical tower stands on ground and is surmounted by a vertical flagpole of height 18 m. At a point on the ground, the angle of elevation of the bottom and the top of the flagpole are 30° and 60° respectively. What is the height of the tower?

A.            10.40 m                

B.            15.57 m

C.            9 m                                        

D.            12 m

352         A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, then how old is B?

A.            10 Years              

B.            12 Years

C.            14 Years              

D.            16 Years              

353         The value of {0.54- 0.44} / {0.52- 0.42} is?

A.            0.02                       

B.            0.05

C.            0.09                       

D.            0.11

354      An aeroplane when 900 m high passes vertically above another aeroplane at an instant when their angles of elevation at same observing point are 60° and 45° respectively. Approximately, how many meters higher is the one than the other?

A.        381 m             

B.         211 m

C.         169 m             

D.        254 m

355      Train is moving with speed of 90 Km/h. How much distance it will cover in 12 mints?

A.        18 km             

B.         16 km

C.         14 km             

D.        12 km

356      When the sun’s altitude changes from 30° to 60°, the length of the shadow of a tower decreases by 70m. What is the height of the tower?

A.        60.6 m            

B.         140 m

C.         35 m              

D.        20.2 m                        

357      An accurate clock shows 8 o’clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o’clock in the afternoon?

A.        110 degree      

B.         120 degree

C.        180 degree     

D.        360 degree                  

358      The H.C.F. of two numbers is 5 and their L.C.M. is 150. If one of the numbers is 25, then the other is:

A.        20                   

B.         28

C.         24                   

D.        30

359      What is the value of a and b, If a2 – b2 = 36 and a + b = 6

A.        a = 1, b = 9     

B.         a = 6, b = 0

C.         a = 3, b = 9     

D.        a = 0, b = 3     

360      The sum of the polynomials, 6x2 + 9x – 8 and 2x2 – 5x + 3 is:

A.        2x2 + 4 x – 4    

B.         4x2 + 4 x – 1

C.        8x2 + 4 x – 5   

D.        6x2 + 3 x – 5        

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361      Which of the following integers has the most number of divisors?

A.        99                   

B.         101

C.         182                 

D.        176                             

362      The least number which should be added to 28523 so that the sum is exactly divisible by 3, 5, 7 and 8 is

A.        32                   

B.         42

C.         41                   

D.        37                               

363      What is the greatest possible length which can be used to measure exactly the lengths 8 m, 4 m 20 cm and 12 m 20 cm?

A.        30 cm             

B. 25 cm

C.        20 cm             

D. 10 cm                                 

364      In class of 24 students, 1/4 are male, then % of females is:

A.        60%    

B.         65%

C.         70%    

D.        75%                           

365      A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, then how old is B?

A.        10 Years        

B.         12 Years

C.         14 Years         

D.        16 Years                                 

366      A father said to his son, “I was as old as you are at the present at the time of your birth”. If the father’s age is 38 years now, the son’s age five years back was:

A.        14 Years        

B.         16 Years

C.         18 Years         

D.        20 Years                                 

367      The product of two 2 digit numbers is 2028 and their HCF is 13. What are the numbers?

A.        13, 156                      

B.         26, 78

C.         36, 68             

D.        39, 52                         

368      The product of two numbers is 2028 and their HCF is 13. What are the number of such pairs?

A.        2         

B.         3

C.         4        

D.        1

369      A cable breaks if stretched by more than 2 mm it is cut into two equal parts how much either part can be stretched without breaking?

A.        1 mm  

B.         2 mm

C.         3 mm  

D.        4 mm  

370      Faryal got a new piggy bank and counted the change she put into it.  She had one more nickel than dimes and two fewer quarters than nickels.  The value of her change was $1.40.  How many total coins did she have?

A.        10       

B.         11

C.        12       

D.        13       

371      A bullet is short from a rifle. As a result the rifle recoils, the kinetic energy of rifle as compared to that of bullet is

A.        Less K.E        

B.         Greater K.E

C.         Equal K.E       

D.        None of these

372      N is the greatest number which divides 1305, 4665 and 6905 and gives the same remainder in each case. What is the sum of the digits in N?

A.        5                     

B.         4

C.         6                     

D.        3

373      A boy divided the numbers 7654, 8506 and 9997 by a certain largest number and he gets same remainder in each case. What is the common remainder?

A.        156                 

B.         211

C.         231                 

D.        199

374      The average binding energy of a nucleon inside an atomic nucleus is about

A.        2 MeV            

B.         4 MeV

C.        8 MeV            

D.        10 MeV

375      Two-fifth of a certain number is 30. What is the number?

(A)       75       

(B)       25

(C)       90       

(D)       150

376      Sara weighs 25 pounds more than Umar. If together they weigh 205 pounds, what is the weight of Sara?

(A)       90       

(B)       105

(C)       115     

(D)       135

377      If the sum of two numbers is 36, and the larger is three times as larger as the smaller, what is the larger number?

(A)       27       

(B)       30

(C)       15       

(D)       18

378      A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:

A.        Rs. 12,700      

B.         Rs. 13,700

C.        Rs. 14,700      

D.        Rs. 15,700

379      A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they again at the starting point?

A.        46 minutes 12 seconds                       

B. 36 minutes 12 seconds

C.        36 minutes 22 seconds            

D. 46 minutes 22 seconds       

380      The ratio of two numbers is 4: 5. If the HCF of these numbers is 6, what is their LCM?

A.        30       

B.         120

C.         60       

D.        90

381      What is the HCF of 2.04, 0.24 and 0.8?

A.        1         

B.         0.04

C.         2         

D.        0.02

382      If HCF of two numbers is 11 and the product of these numbers is 363, what is the the greater number?

A.        22       

B.         11

C.        33       

D.        9                    

383      What is the greatest number which on dividing 1223 and 2351 leaves remainders 90 and 85 respectively?

A.        42       

B.         1100

C.         127     

D.        1133

384      Which quantity is greater?

Quantity A: 7-5                        Quantity B: 49-3

A.        Quantity A is greater.            `          

B.         Quantity B is greater.

C.         The two quantities are equal   

D.        The relationship cannot be determined from the information given

385      What digit appears in the units place when 2102is multiplied out?

A.        2         

B.         4

C.         6         

D.        8

386      A farmer has 44 feet of fence, and wants to fence in his sheep. He wants to build a rectangular pen with an area of 120 square feet. Which of the following is a possible dimension for the side opposite the barn?

A.        5 ft.     

B.         10 ft.

C.         15 ft.   

D.        20 ft.   

387      A man was 26 years old when his daughter was born. Now, he is three times as old as his daughter. How many years old is the daughter now?

(A)       13 years         

(B)       22 years

(C)       15 years          

(D)       12 years

388      Solve for x: (x2 – x) / (x – 1) = 1

A.        0         

B.         1

C.         -1        

D.        No Solution

389      Given that: x2 – 3x – 18 = 0

            Quantity A: x                          Quantity B: 6

A.        Quantity A is greater               

B.         Quantity B is greater.

C.         The two quantities are equal.  

D.        The relationship can’t be determined from given information

390      Two masses of 1 g and 4 g are moving with equal kinetic energies the ratio of the magnitudes of their linear moments is:

A.        0:10    

B.         1:02

C.         2:1      

D.        1:04

391      How much water a pump of 2kW can raise in one minute to a height of 10 m. take g = 10 m/s2?

A.        1000 litres       

B.         1200 litres

C.         20000 litres     

D.        22000 litres

392      What is the least multiple of 7 which leaves a remainder of 4 when divided by 6, 9, 15 and 18 ?

A.        343                

B.         350

C.         371                 

D.        364

393      Three numbers which are co-prime to each other are such that the product of the first two is 119 and that of the last two is 391. What is the sum of the three numbers?

A.        43                   

B.         51

C.        47                   

D.        53

394      What is the greatest number which divides 24, 28 and 34 and leaves the same remainder in each case?

A.        2        

B.         1

C.         3        

D.        4         

395      Six bells start ringing together and ring at intervals of 4, 8, 10, 12, 15 and 20 seconds respectively. How many times will they ring together in 60 minutes?

A.        31       

B.         15

C.         30       

D.        16

396      What is the least number which when divided by 8, 12, 15 and 20 leaves in each case a remainder of 5?

A.        125     

B.         112

C.         117     

D.        132

397      Jamal has $15,000 to invest. If he invests two-thirds of it into a high-yield savings account with an annual interest rate of 8%, compounded quarterly, and the other third in a regular savings account at 6% simple interest, how much does Jamal earn after one year?

A.        $1024.32        

B.         $1124.32

C.         $1224.32        

D.        $1324.32

398      The HCF of two numbers is 23 and the other two factors of their LCM are 13 and 14. What is the largest number?

A.        282                 

B. 322

C.         312                 

D. 299

399      What is the smallest number which when diminished by 12, is divisible 8, 12, 22 and 24?

A.        272     

B.         268

C.        276     

D.        264

400      A and B invest in a business in the ratio 3: 2. If 5% of the total profit goes to charity and A’s share is Rs. 855, the total profit is:

A.        Rs. 1200         

B.         Rs .1300

C.         Rs. 1400         

D.        Rs. 1500

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