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Challenging MCQs.
1. The product of the ages of A and B is 104. If thrice the age of B is less than A's age by 11
years. Find the B's age.
a. 10 years
b. 8 yearsc. 12 years
d. years
2. The present age of a !other is thrice the age of her son. If fi"e years ago# the ratio of their
ages is 1$4. Find the son's age after fi"e years.
a. 1% years
b. 20 years
c. 12 years
d. 18 years
&. The ages of and ( are in the ratio of &$8 respecti"ely and product of their ages is &84.)o!pute the ratio of their ages three years hence.
a. &$%
b. 2$%
c. &$*
d. &$4
4. A is as !uch younger than B as he is older than ). If the su! of the ages of B and ) is 40
years# +hat is the difference bet+een B and )'s age,
a. & years
b. 4 years
c. % years
d. Inade-uate data.
%. The su! of the ages of a father and his son is %0. Ten years ago# the product of their ages +as
%. )o!pute the present ages of son and father respecti"ely.
a.12 and &8
b. &8 and 12
c. &4 and 1
d. 1 and &4
. At present the son's age is sa!e as +as his father's age at the ti!e of his birth. If father's age is48. Find the son's age after 4 years fro! no+.
a. &0 years
b. 24 years
c. 28 years
d. Inade-uate data
*. The age of a !an is t+ice the su! of the ages of his t+o sons. Fi"e years hence# his age +ill
be 1 years !ore than the su! of the ages of his sons. /hat is the father's present age,
a. 42 years
b. 40 years
c. 4% yearsd. Inade-uate data
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8. i"en A is 12 years# B is t+o years younger than A ) is 2 years elder than B.
)olu!n A )olu!n B
AB B)
a. The -uantity in colu!n A is greater.
b. The -uantity in colu!n B is greater.
c. Both the -uantities are e-ual.d. 3elationship cannot be deter!ined.
. The su! of the present ages of a father and his son is 0 years. i5 years ago# father's age +as
three ti!es the age of the son. 6eter!ine the son's age after si5 years.
a. 24 years
b. 18 years
c. 12 years
d. 20 years
10. Four years ago# the ratio of ages of 7urple and Blue +as 2$ respecti"ely. If the su! of their
present ages is 28. )o!pute the ratio of their ages four years hence.a. 1$%
b. 2$%
c. &$%
d. 4$%
11. The product of ages of son and !other is *20. and their ages are in the ratio %$1. Find the
son's age.
a. 1% years
b. 48 years
c. 22 years
d. 12 years
12. If the ratio of ages of ee and Tee +ill be %$ after fe+ years and their present ages are 12
and 24 respecti"ely. )o!pute after ho+ !any years# their ages +ill be in the ratio %$.
a. 2* years
b. & years
c. 21 years
d. 1& years
1&. The present ages of Ti! and ee are in the ratio of %$ respecti"ely. e"en years hence# the
ratio of their ages +ill be $* respecti"ely. /hat is Ti!'s present age,a. 40 years
b. &2 years
c. &% years
d. &4 years
7l9 sub!it replies +ith e-uation:detailed solutions
Ans+er to ;< 2
;uote$
=riginally 7osted by 3ana
2. The present age of a mother is thrice the age of her son. If five years ago, the ratio of theirages is 1:4. Find the son's age after five years.
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a. 15 years
b. 20 years
c. 12 years
d. 1 years
Ans+er > ?a@ 1% years
Ans+er to ;< &
;uote$
=riginally 7osted by 3ana
!. The ages of " and # are in the ratio of !: respective$y and prod%ct of their ages is !4.&omp%te the ratio of their ages three years hence.
a. !:5
b. 2:5
c. !:
d. !:4
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Ans+er > ?a@ 12 and &8
Ans+er to ;< 12
;uote$
=riginally 7osted by 3ana
12. If the ratio of ages of *ee and Tee (i$$ be 5:+ after fe( years and their present ages are 12
and 24 respective$y. &omp%te after ho( many years, their ages (i$$ be in the ratio 5:+.
a. 2 years
b. ! yearsc. 21 years
d. 1! years
Ans+er > ?b@ & years
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Ans+er to ;< 1&
;uote$
=riginally 7osted by 3ana
1!. The present ages of Tim and *ee are in the ratio of 5:) respective$y. even years hence, the
ratio of their ages (i$$ be ): respective$y. -hat is Tim's present age
a. 40 years
b. !2 years
c. !5 years
d. !4 years
Ans+er > ?c@ &% years
Ans+er to ;< 1
;uote$
=riginally 7osted by 3ana
1. The prod%ct of the ages of / and is 104. If thrice the age of is $ess than /'s age by 11
years. Find the 's age.
a. 10 years
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b. years
c. 12 years
d. + years
Ans+er > ?b@ 8 years
?rrata $This sentence If thrice the age of B is less than A's age by 11 years should be read as
If thrice the age of B is greater than A's age by 11 years. =ther+ise# ans+ers +e get is 4.&&
and C8# none of +hich is correct.@
Ans+er to ;< 4
;uote$
=riginally 7osted by 3ana 4. / is as m%ch yo%nger than as he is o$der than &. If the s%m of the ages of and & is 40
years, (hat is the difference bet(een and &'s age
a. ! years
b. 4 years
c. 5 years
d. Inade%ate data.
Ans+er > ?b@ 4 years
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Ans+er to ;<
;uote$
=riginally 7osted by 3ana ). /t present the son's age is same as (as his father's age at the time of his birth. If father's
age is 4. Find the son's age after 4 years from no(.
a. !0 years
b. 24 years
c. 2 years
d. Inade%ate data
Ans+er > ?c@ 28 years
Ans+er to ;< *
;uote$
=riginally 7osted by 3ana
. The age of a man is t(ice the s%m of the ages of his t(o sons. Five years hence, his age
(i$$ be 1) years more than the s%m of the ages of his sons. -hat is the father's present age
a. 42 years
b. 40 years
c. 45 years
d. Inade%ate data
Ans+er > ?a@ 42 years
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Ans+er to ;< 8
;uote$
=riginally 7osted by 3ana
. iven / is 12 years, is t(o years yo%nger than / 3 & is 2 years e$der than .
&o$%mn / &o$%mn
/ &
a. The %antity in co$%mn / is greater.b. The %antity in co$%mn is greater.
c. oth the %antities are e%a$.
d. e$ationship cannot be determined.
Ans+er > ?c@ Both the -uantities are e-ual.
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Ans+er to ;<
;uote$
=riginally 7osted by 3ana +. The s%m of the present ages of a father and his son is )0 years. i6 years ago, father's age
(as three times the age of the son. 7etermine the son's age after si6 years.
a. 24 years
b. 1 years
c. 12 years
d. 20 years
Ans+er > ?a@ 24 years
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Ans+er to ;< 10
;uote$
=riginally 7osted by 3ana
10. Fo%r years ago, the ratio of ages of 8%rp$e and $%e (as 2:!, respective$y. If the s%m of
their present ages is 2. &omp%te the ratio of their ages fo%r years hence.
a. 1:5
b. 2:5
c. !:5
d. 4:5
Ans+er > ?d@ 4$%
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Ans+er to ;< 11
;uote$
=riginally 7osted by 3ana
11. The prod%ct of ages of son and mother is 20. and their ages are in the ratio 5:1). Find
the son's age.
a. 15 years
b. 4 yearsc. 22 years
d. 12 years
Ans+er > ?a@ 1% years
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