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Quantitative Aptitude > Number System

RELATIONSHIPS BETWEEN NUMBERS MCQs

Total Questions : 3447 | Page 345 of 345 pages
Question 3441. Three numbers are in the ratio of 3 : 4 : 6 and their product is 1944. The largest of these numbers is :___________?
  1.    6
  2.    12
  3.    18
  4.    None of these
 Discuss Question
Answer: Option C. -> 18
NO EXPLANATION IS AVAILABLE FOR THIS QUESTION!
Question 3442. Find the number which when multiplied by 15 is increased by 196.
  1.    14
  2.    20
  3.    26
  4.    28
 Discuss Question
Answer: Option A. -> 14
LET THE NUMBER BE X. THEN, 15X – X = 196
14X = 196 X = 14.
Question 3443. A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is :_________?
  1.    18
  2.    24
  3.    42
  4.    81
 Discuss Question
Answer: Option B. -> 24
NO EXPLANATION IS AVAILABLE FOR THIS QUESTION!
Question 3444. The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is :___________?
  1.    20
  2.    30
  3.    40
  4.    None of these
 Discuss Question
Answer: Option A. -> 20
NO EXPLANATION IS AVAILABLE FOR THIS QUESTION!
Question 3445. If the sum of two numbers is 33 and their difference is 15, the smaller number is :__________?
  1.    9
  2.    12
  3.    15
  4.    18
 Discuss Question
Answer: Option A. -> 9
LET THE NUMBERS BE X AND Y.
THEN, X + Y = 33 …(I)
AND X – Y = 15 …(II)
SOLVING (I) AND (II), WE GET : X = 24, Y = 9.
∴ SMALLER NUMBER = 9.
Question 3446. The sum of two numbers is 25 and their differenee is 13. Find their product :
  1.    104
  2.    114
  3.    315
  4.    325
 Discuss Question
Answer: Option B. -> 114
LET THE NUMBERS BE X AND Y. THEN, X + Y = 25 AND X – Y = 13.
4XY = (X + Y)2 – (X – Y)2 = (25)2 – (13)2 = 625- 169 = 456
=> XY = 114.
Question 3447. If the sum of a number and its square is 182, what is the number ?
  1.    15
  2.    26
  3.    28
  4.    13
 Discuss Question
Answer: Option D. -> 13
NO EXPLANATION IS AVAILABLE FOR THIS QUESTION!

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