A car travels a certain distance taking 7 hrs in forward journey, during the return journey increased speed by 12km/hr takes the times 5 hrs.What is the distance traveled
Let speed in forward journey = v So 7 * v = (v + 12) * 5 or v = 30 km /s So Distance = 2 * 7 * 30 = 420
Q. No. :
2
Question :
Fresh grapes contain 90% water, dry grapes contain 20% water. From 20 Kg fresh grapes, How many Kg of dry grape can be obtain ?
A :
2.4
B :
2.2
C :
2.5
D :
none of these
Answer: C
Q. No. :
3
Question :
All the pages of a book starting from page 1 are summed. One of the pages has been added twice, and the total thus obtained is 1000. Which is the page that has been added twice ?
We know that sum of first n natural number is= n(n+1)/2 As one number is added twice , let this number be x then n(n+1)/2 +x=1000 n(n+1)/2 <1000 WE have to calculate n such that n is maximum and n(n+1)/2<1000n2+ n-2000<0 we will get n=44For n=44Sum= 44*45/2=990Repeated number=1000-990=10
Q. No. :
4
Question :
What is the smallest number by which 2880 must be divided in order to make it into a
perfect square ?
A :
3
B :
4
C :
5
D :
6
Answer: C
Q. No. :
5
Question :
A / B = C; C > D then
A :
A is always greater than D
B :
C is always greater than D
C :
B is always less than D
D :
None of these
Answer: B
Q. No. :
6
Question :
X's father's wife's father's granddaughter uncle will be related to X as
A :
Son
B :
Nephew
C :
Uncle
D :
Grandfather
Answer: C
Q. No. :
7
Question :
The sum of three consecutive numbers is 132. Find the square of the largest number.
A :
2026
B :
640
C :
900
D :
2025
Answer: D
Q. No. :
8
Question :
A monkey starts climbing up a tree 20ft. tall. Each hour, it hops 3ft. and slips back 2ft. How much time would it take the monkey to reach the top?
A :
15
B :
20
C :
21
D :
18
Answer: D
Q. No. :
9
Question :
At present, the ratio between the ages of Arun and Deepak is 4 : 3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present ?
Let the present ages of Arun and Deepak be 4x years and 3x years respectively. Then, 4x + 6 = 26 4x = 20 x = 5. Deepak's age = 3x = 15 years.
Q. No. :
10
Question :
In a class, except 18 all are above 50 years.
15 are below 50 years of age. How many people are there?
A :
30
B :
33
C :
36
D :
none of these.
Answer: D
Q. No. :
11
Question :
Train X starts from A towards B which is 180 Kms apart. At same time, train Y start from B towards A. Train X travels at speed of 70 kmph and Y travels at 50 kmph. While X does not stop anywhere on the way, the train Y stops at station C in between at 60km from B for 15 minutes. At what distance from A they would meet
Let the meet at a distance x km from A.
So x/70 = (180-x)/50 + 1/4
or, 100x/70 = 360-2x+25
or, 10x = 2520 - 14x + 175
or, 24x = 2695
or, x = 2695/24 = 112.3km
Q. No. :
12
Question :
A man ate 100 bananas in five days, each day eating 6 more than the previous day. How many bananas did he eat on the first day?
A :
6
B :
9
C :
8
D :
7
Answer: C
Q. No. :
13
Question :
x, y, z are distinct integers such as x is positive, y is lesser than x and z is more than x and y. Then which of the following is true ?
A :
x y³
B :
x-y > 0
C :
xyz>0
D :
none of these
Answer: B
Q. No. :
14
Question :
A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is:
Let original length = x and original breadth = y. Decrease in area = xy - (80*90xy) /(100*100)
= xy - 18xy/25 = 7 xy/25
Decrease % = 7 xy/25 * 1 * 100 % = 28%
Q. No. :
15
Question :
Three pipes, A, B, & C are attached to a tank. A & B can fill it in 20 & 30 minutes respectively while C can empty it in 15 minutes. If A, B & C are kept open successively for 1 minute each, how soon will the tank be filled?
A :
167 minutes
B :
165 minutes
C :
162 minutes
D :
164 minutes
Answer: A
Q. No. :
16
Question :
If out of X bulbs y bulbs are broken;The % of non broken bulbs
A :
(x+y) / x*100
B :
(x-y) / x*100
C :
(x-y) / y*100
D :
x/ y*100
Answer: B
Q. No. :
17
Question :
A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?
l = 20 ft and lb = 680 sq. ft. => b = 34 ft. Length of fencing = (l + 2b) = (20 + 68) ft = 88 ft.
Q. No. :
18
Question :
What is the least value of x for which expression x3 – 7x2 + 11x – 5 gives positive quantity?
A :
4
B :
5
C :
8
D :
none of these
Answer: D
Q. No. :
19
Question :
A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is: