Ongoing through the options, Let current Father age = 73; Sons age = 37and, f = fathers age and s = sons age.
Then, according to the question,
f = 10a + b and s = a + 10b;
=> f - 1 = 2(s - 1) so
=> f = 2s - 2 + 1
=> f = 2s - 1
Therefore,
10a + b = 2a + 20b - 1
8a = 19b - 1, making a = 7 and b = 3.
So Father is 73 and son is 37. (Last year f = 72, s = 36)
Let the number be x.
According to the question,
=> x $\times$ 5/4 - x $\times$ 4/5 = 81
=> x $\times$ (25 - 16)/20 = 81.
=> x $\times$ 9/20 = 81.
=> x = 180.
If x is side of original cube, then $x^3$ = 512
When each side is doubled,
Then vol = $(2x) ^3$ = $8x ^ 3$ = 8 $\times$ 512 = 4096 cubic mtr.
Given, total distance=180 miles.
Time = 3hrs 45 min = 15/4hrs.
Average speed = Total Distance / Total Time = 180/(15/4) = 48 miles/hr.
Average of 3 number is 135.
=> (x + y + z) / 3 = 135
Given Difference between 2 values is 25. So,
=> x = y - 25
=> z = y + 25
=> [(y-25) + y + (y+25)]/3 = 135
=> [y-25 + y + y + 25] / 3 = 135
=> 3y/3 = 135
=> y = 135
So, x = 110; y = 135; z = 160
Hence, the lowest number is 110.
Given, marks of Ram = 360.
Then, according to the given data,
=> 360 = 90% of Shyam
=> Shyam = 360 * 10 /9 = 400
And, Shyam = 125% of Mohan
=> 400 = 125/100 $\times$ Mohan
=> Mohan = 400 $\times$ 100/125 =80 $\times$ 4= 320
Mohan = 80% of Java.
=> 320 = 80/100 $\times$ Java
=> Java = 320 $\times$ 100 / 80 = 400
Therefore, Javas percentage = 400/500 $\times$ 100 = 80%.
According to the question,
A`s 1-day work = 1/18
B`s 1-day work = 1/9
(A+B)`s 1-day work = 1/18 + 1/9 = 3/18. [1 work in 18/3 = 6 days]
B continued for 6 days,
So, B`s 6 days work = 6/9
Total work done by A + B together = (1-6/9) = 3/9
Hence, A+B do 3/18 work in 1day (from above)
1 work in 18/3 day = 6 day
So,3/9 work in (6 $\times$ 3/9) = 2 days
So, both A and B worked for 2 days.
Given, his speed on plain and upward was 3km/hr. and 4 km/hr.
Average speed a = 24/7.
When he was coming back his speed was 6km/hr. and 4 km/hr.
Average = b = 24/5.
So Overall average speed v = 4 km/hr.
Given, time = 6hr (i.e. from 3pm to 9 pm)
Now, v = d/t
=> d=v $\times$ t
=> d=4 $\times$ 6=24km (two-way distance)
Therefore, one-way distance = 12 km.
According to the question,
Ratio of their investment will be A:B:C = (20000 $\times$ 24): (15000 $\times$ 24): (20000 $\times$ 18) = 4: 3: 3
Then, Bs Share = (3 $\times$ 25000)/ (4 + 3 + 3) = 7500.
Cognizant Logical Reasoning Test
Syllogism:Statements:All medicines are tabletsSome tablets are tonicsSome tonics are bitterConclusions:(I) Some tablets are bitter
(II) No medicine is a tonic
Manju is the daughter of Anil. Sheela is the mother of Manju. Therefore, Mohan is the son of Sheela.
Only son of Neena`s father-in-law Mahipal Neenas husband. So, Raman is Neenas husband and Anita and Hindu are his daughters.
Thus, Bindu is the granddaughter of Mahipal.
Their ranking according to their heights is as follows:D>C>A>B>E.
Number of boys in the row = (15 + 4 + 3) = 22. C is just left of A. So, C is 14th from the left end.
Number of boys to the right end of the row. So, C is 9th from the right end of the row.
Time from 5 a.m. on a day to 10 p.m. on 4th day = 89 hours.
Now 23 hrs. 44 min. of this clock = 24 hours of correct clock.
356/15 hrs. of this clock = 24 hours of correct clock.
89 hrs. of this clock = (24 x 31556 x 89) hrs. of correct clock.
= 90 hrs. of correct clock.
So, the correct time is 11 p.m.
This is the only group containing a vowel.
As given 1 is coded as X, 6 is coded as T, 3 is coded as J, 5 is coded as C, 4 is coded as N and 2 is coded as Z. So 163542 is coded as XTJCNZ.
It is not mentioned whether all the boys or a proportion of them play football.
P $ Q means P is neither equal to nor smaller than Q.
P $\otimes$ Q means P is not smaller than Q.
P * Q means P is neither greater nor smaller than Q.
P # Q means P is neither greater than nor equal to Q.
P @ Q means P is not greater than Q
(I) M $ P(II) P * M