An amount becomes ₹6,600 in 2 years and ₹7,920 in 4 years at
simple interest. What will be the interest earned in the 6th year?
A) ₹660
B) ₹1,320
C) ₹1,100
D) ₹720
The compound interest on a certain sum for 3 years at 10% p.a.
compounded annually is ₹993. Find the principal.
A) ₹3,000
B) ₹3,500
C) ₹3,300
D) ₹3,200
A man sells an article at a 20% loss. If he had sold it for ₹111 more,
he would have gained 10%. Find the cost price.
A) ₹370
B) ₹380
C) ₹390
D) ₹375
A man drives 120 km at a speed of 60 km/h. On return, he increases
his speed by 25%. What is his average speed for the entire journey?
A) 64 km/h
B) 66.67 km/h
C) 62.5 km/h
D) 65 km/h
A and B together can complete a work in 10 days. A alone can
complete it in 15 days. B works alone for 3 days, then A joins him. In
how many total days is the work completed?
A) 7
B) 8
C) 6
D) 9
Two dice are rolled. What is the probability that the product of the
numbers shown is a multiple of 4?
A) 7/18
B) 5/12
C) 2/3
D) 3/8
A cylindrical tank has radius 7 m and height 5 m. If water is filled to
80% of its capacity, what is the volume of water in litres? (1 m³ =
1000 L)
A) 616000 L
B) 615500 L
C) 617600 L
D) 618200 L
The area of a trapezium is 240 cm². Its parallel sides are 10 cm and
14 cm. Find its height.
A) 22 cm
B) 20 cm
C) 25 cm
D) 28 cm
A password consists of 2 consonants and 2 vowels from the word
“QUESTION”. How many such passwords can be formed?
A) 252
B) 288
C) 216
D) 240
How many 4-digit numbers can be formed from the digits 1 to 9 such
that digits are not repeated and the number is divisible by 5?
A) 332
B) 376
C) 304
D) 320
The average of 10 numbers is 63. If two numbers 52 and 48 are
removed, what will be the new average?
A) 66.25
B) 65.5
C) 67
D) 64.75
Three metal rods of lengths 105 cm, 140 cm, and 175 cm are to be
cut into equal pieces without leaving any remainder. What is the
greatest possible length (in cm) of each piece?
A) 5
B) 7
C) 15
D) 35
In a certain recipe, the ratio of flour to sugar is 5:2. If the amount of
flour is increased by 20% and sugar by 25%, what is the new ratio?
A) 6:2.5
B) 5:3
C) 6:2
D) 3:1
From a 100 L mixture of milk and water in the ratio 7:3, 20 L is
drawn and replaced with water. What is the new ratio of milk to
water?
A) 56:44
B) 49:51
C) 63:37
D) 58:42
Ravi’s salary is 20% more than that of Rahul’s. By what percentage is
Rahul’s salary less than Ravi’s?
A) 20%
B) 18.35%
C) 16.66%
D) 15.28%
A trader marks an article at 50% above cost and allows 20%
discount. What is the profit or loss percent?
A) 20% profit
B) 25% profit
C) 10% profit
D) 30% profit
A train passes a 150-m-long platform in 20 seconds and a pole in
12 seconds. What is the length of the train?
A) 100 m
B) 120 m
C) 180 m
D) 150 m
A boat takes 3 hours to travel 36 km downstream. It returns
upstream in 4 hours. If the speed of the stream increases by 1 km/h
and the speed of the boat in still water remains unchanged, the
upstream journey would take 3.5 hours instead. What is the original
speed of the boat in still water?
A) 10.5 km/h
B) 11.5 km/h
C) 12.5 km/h
D) 13.5 km/h
Two pipes A and B can fill a tank in 12 minutes and 15 minutes
respectively. A pipe C can empty it in 10 minutes. A and B are
opened together for 3 minutes, then C is opened along with them. In
how many more minutes will the tank be full?
A) 6 min
B) 11 min
C) 9 min
D) 10 min
A person’s income increases by 25%, then his expenditure increases
by 30%. As a result, his savings decrease by 10%. If his original
income was ₹48,000, what was his original expenditure?
A) ₹38,400
B) ₹36,000
C) ₹40,000
D) ₹42,000
PAPER 2
The price of a machine depreciates by 20% in the first year, 25% in the
second year, and 10% in the third year. If its current value is ₹54,000,
what was its original value?
A) ₹1,00,000
B) ₹1,08,000
C) ₹1,20,000
D) ₹96,000
Person A invests ₹12,000 at 6% p.a. simple interest, and Person B
invests ₹10,000 at 8% p.a. simple interest. After how many years
will their interest amounts be equal?
A) 3 years
B) 4 years
C) 5 years
D) 6 years
What is the compound interest on ₹20,000 at 10% per annum
compounded half-yearly for 1.5 years?
A) ₹3,150
B) ₹3,230
C) ₹3,307
D) ₹3,420
A trader gains 20% on one article and loses 10% on another. He sells
both at ₹ 2160 each. What is his overall profit or loss?
A) 2.85% profit
B) 1.5% loss
C) No profit no loss
D) 2.62% loss
A man leaves town A for town B, 90 km away, at 8:00 AM, walking at
a uniform speed. Another man leaves town B for town A at 9:00 AM,
cycling at 15 km/h. They meet at 10:30 AM. What is the walking
speed of the first man?
A) 36 km/h
B) 30 km/h
C) 32 km/h
D) 21 km/h
A and B can complete a work in 18 and 24 days respectively. They
work alternately, starting with A. In how many days will the work be
completed?
A) 19 days
B) 20 days
C) 21 days
D) 22 days
Two dice are thrown. What is the probability that the sum of the
numbers is a multiple of 3 or 4?
A) 25/36
B) 20/36
C) 28/36
D) 30/36
A hollow vessel is made of a hemisphere surmounted by a cylinder.
The diameter of both is 14 cm and height of the cylindrical part is 10
cm. Find the total outer surface area of the vessel.
A) 2112 cm²
B) 1726 cm²
C) 1814 cm²
D) 1880 cm²
A rectangular tank is 80 cm long, 66 cm wide and 40 cm high. How
many cylindrical buckets of radius 10 cm and height 21 cm will be
needed to fill it?
A) 240
B) 160
C) 320
D) 180
From 6 men and 4 women, a committee of 5 members is to be
formed such that at least 2 women are included. In how many
ways can this be done?
A) 136
B) 126
C) 148
D) 132
The average weight of a group of 123 students is 60 kg. A new
student joins and the average becomes 61 kg. What is the weight
of the new student?
A) 205 kg
B) 206 kg
C) 204 kg
D) 208 kg
A merchant has 3 pieces of cloth measuring 289 cm, 301cm, and
352 cm. He wants to cut them into equal lengths. What is the
maximum length in cm of each piece?
A) 17
B) 19
C) 23
D) 29
The present age of Samay and Bittu is in the ratio 5:3. After 136
years, the ratio becomes 7:5. What is the present age of Samay?
A) 315
B) 355
C) 335
D) 310
A solution has milk and water in the ratio 3:1. How much water
must be added to 20 liters of this solution so that the ratio becomes
2:1?
A) 2 L
B) 2.5 L
C) 3 L
D) 4 L
A boat takes 4 hours to go 48 km downstream and returns in 6
hours. If the speed of the stream increases by 4 km/h, how much
less time will the boat take for the downstream journey?
A) 30 mins
B) 45 mins
C) 1 hour
D) 1.5 hours
A tank can be filled by two pipes in 15 and 20 minutes. A leak at
the bottom can empty it in 30 minutes. If all are opened, how long
will it take to fill the tank?
A) 10 min
B) 12 min
C) 14 min
D) 16 min
In how many ways can 5 boys and 3 girls be seated in a row so
that no two girls sit together?
A) 14400
B) 17280
C) 20160
D) 21600
From a standard deck of 52 cards, what is the probability that the
first card is a heart and the second is a queen, drawn without
replacement?
A) 1/221
B) 1/663
C) 1/52 × 4/51
D) 4/663
What is the unit digit of the expression
7^{2023} + 3^{2024} + 9^{2025}?
A) 7
B) 9
C) 5
D) 4
Find the unit digit of
(2^562)×(6^281)×(7^127)?
A) 4
B) 2
C) 6
D) 8
Thank You