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Learn NAVY MCQs with answers [Page 1 of Department 16]

S

Shivam • 8.86K Points
Tutor III

1) In the following number series a wrong number is given. Find out the wrong number.
1, 3, 10, 21, 64, 129, 356, 777 

(A) 129
(B) 21
(C) 10
(D) 356
Correct Answer - Option (D)

Explanation :
The given pattern is, 2nd term → 1*2+1 = 3 3rd term → 3*3+1 = 10 4th term → 10*2+1 = 21 5th term → 21*3+1 = 64 6th term → 64*2+1 = 129 7th term → 129*3+1= 388 So, 7th term 356 is wrong and must be replaced by 388.

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R

Ruchi Sharma • 9.84K Points
Tutor III

2) Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case. 

(A) 4
(B) 7
(C) 9
(D) 13
Correct Answer - Option (A)

Explanation :
Required number = H.C.F. of (91 - 43), (183 - 91) and (183 - 43) = H.C.F. of 48, 92 and 140 = 4.

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R

Ruchi Sharma • 9.84K Points
Tutor III

3) The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is: 

(A) 276
(B) 299
(C) 322
(D) 345
Correct Answer - Option (C)

Explanation :
The HCF of a group of numbers will be always a factor of their LCM. HCF is the product of all common prime factors using the least power of each common prime factor. LCM is the product of highest powers of all prime factors. Clearly, the numbers are (23 x 13) and (23 x 14) ∴ Larger number = (23 x 14) = 322

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R

Ruchi Sharma • 9.84K Points
Tutor III

4) Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?

(A) 4
(B) 10
(C) 15
(D) 16
Correct Answer - Option (D)

Explanation :
L.C.M. of 2, 4, 6, 8, 10, 12 is 120. So, the bells will toll together after every 120 seconds(2 minutes). In 30 minutes, they will toll together (30/2)+ 1 = 16 times

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Ruchi Sharma • 9.84K Points
Tutor III

5) The greatest number of four digits which is divisible by 15, 25, 40 and 75 is: 

(A) 9000
(B) 9400
(C) 9600
(D) 9800
Correct Answer - Option (C)

Explanation :
Greatest number of 4-digits is 9999. L.C.M. of 15, 25, 40 and 75 is 600. On dividing 9999 by 600, the remainder is 399. ∴ Required number (9999 - 399) = 9600.

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R

Ruchi Sharma • 9.84K Points
Tutor III

6) The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is: 

(A) 107
(B) 101
(C) 111
(D) 185
Correct Answer - Option (C)

Explanation :
Let the numbers be 37a and 37b Then, 37a x 37b = 4107 ⇒ ab = 3 Now, co-primes with product 3 are (1, 3) So, the required numbers are (37 x 1, 37 x 3) i.e., (37, 111) so Greater number = 111

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Ruchi Sharma • 9.84K Points
Tutor III

7) Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is: 

(A) 40
(B) 80
(C) 120
(D) 200
Correct Answer - Option (A)

Explanation :
Let the numbers be 3x, 4x and 5x Then, their L.C.M. = 60x So, 60x = 2400 or x = 40 so The numbers are (3 x 40), (4 x 40) and (5 x 40) Hence, required H.C.F. = 40

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Ruchi Sharma • 9.84K Points
Tutor III

8) Ajit has a certain average for 9 innings. In the tenth innings, he scores 100 runs thereby increasing his average by 8 runs. His new average is:

(A) 20
(B) 21
(C) 28
(D) 32
Correct Answer - Option (C)

No Explanation found. Add Explanation and get +2 points.

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Ruchi Sharma • 9.84K Points
Tutor III

9) The average temperature for Wednesday, Thursday and Friday was 40°C. The average for Thursday, Friday and Saturday was 41° C. If temperature on Saturday was 42° C, what was the temperature on Wednesday?

(A) 39° C
(B) 44° C
(C) 38° C
(D) 41° C
Correct Answer - Option (A)

No Explanation found. Add Explanation and get +2 points.

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